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The Mathematical Pal29 Copies):
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$109 second edition of THE MATHEMATICAL PALETTE makes mathematics enjoyable, relevant, understandable, and informative for liberal arts students. The text stresses learning mathematics through discovery and applications, as a means to learning about mathematical ideas rather than rote memorization, drill, and practice. An emphasis on developing students' problem-solving skills generates a positive attitude towards mathematics and encourages an appreciation of its beauty and power. Changes to this edition emphasize writing and critical thinking skills. The history of mathematicians is presented along with numerous, everyday applications to illustrate the evolution and practicality of math and parallel the creativity of liberal arts majors. | 677.169 | 1 |
Important Updates
Teaching and Assessing AP Calculus
You can now access an invaluable online professional development resource. It features new sample free-response questions, videos of master teachers modeling key instructional strategies for challenging skills and content, and resources to help you implement these strategies in your classroom. Log in or learn more.
Welcome, AP Teachers! AP Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.
Join the Teacher Community and connect with other educators to discuss teaching strategies and share resources.
Course Planning and Pacing Guides
Written by AP teachers, these versatile guides demonstrate a variety of ways to plan and pace the AP Calculus BC curriculum across one academic year. Each author presents a host of ideas for activities, resources, and assessments.
AP Course Audit Information
The AP Course Audit provides teachers and administrators with clear guidelines on curricular and resource requirements for AP courses. All schools wishing to label a course AP must submit a subject-specific AP Course Audit form and the course syllabus for each teacher of that AP course. Your course page has resources to support syllabus development.
Benefits of Becoming an Authorized AP Teacher
Inclusion of authorized courses on the AP Course Ledger so that colleges and universities can verify student transcripts
Authorized AP Calculus Courses
If you already have an authorized AP Calculus BC course, you won't be required to revise and resubmit your syllabus for the 2016-17 school year. More information on what you'll need to do is available on the AP Course Audit website.
Professional Development
The College Board offers both face-to-face and online professional development workshops, available for new and experienced AP teachers as well as AP coordinators and administrators. Led by experienced instructors, subject-specific AP workshops provide educators with the support and training needed to develop effective strategies for teaching an AP course.
Our Annual Offerings
June–August: For an in-depth look at the course and exam, attend an AP Summer Institute. AP Summer Institutes take place across several days and offer more than 30 hours of instruction.
Online Professional Development Modules
Teaching and Assessing AP Calculus
AP Calculus teachers can access an online resource that provides new sample free-response questions to use with students, examples of how to score student responses, videos of master educators modeling key instructional strategies, and resources to help implement these strategies in the classroom.
Continuity and Differentiability: Establishing Conditions for Definitions and Theorems
Justifying Properties and Behaviors of Functions Using Derivatives
Related Rates: Analyzing Problems in Context
Interpreting Notational Expressions
Additional modules will become available throughout the 2016-17 school year. Teachers can access these self-paced modules anytime during the year. They can earn 0.2 CEUs and a certificate for each module completed.
College Board Store
AP and Higher Education
Higher Education professionals play a key role developing AP courses and exams, setting credit and placement policies, and scoring student work. The AP Higher Ed site features information on recruitment and admission, advising and placement, and more.
This chart shows recommended scores for granting credit, and how much credit should be awarded, for each AP course. Your students can look up credit and placement policies for colleges and universities on the AP Credit Policy search. | 677.169 | 1 |
Find a Reading, MA Calculus've also written sections of physics workbooks and digital content for major publishers. The best way to understand most concepts in physics that are new to a student is to represent it on paper. More than any other discipline, academic physics emphasizes the use of diagrams, cartoons, and "be | 677.169 | 1 |
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In this introduction to commutative algebra, the author choses a route that leads the reader through the essential ideas, without getting embroiled in technicalities. He takes the reader quickly to the fundamentals of complex projective geometry...
In this introduction to commutative algebra, the author choses a route that leads the reader through the essential ideas, without getting embroiled in technicalities. He takes the reader quickly to the fundamentals of complex projective geometry, requiring only a basic knowledge of linear and multilinear algebra and some elementary group theory. The author divides the book into three parts. In the first, he develops the general theory of noetherian rings and modules. He includes a certain amount of homological algebra, and he emphasizes rings and modules of fractions as preparation for working with sheaves. Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me | 677.169 | 1 |
Interactive Mathematics Site Info
About IntMath
IntMath aims to interest and educate people in the joys of mathematics. It does so by providing clear examples, relating things to the "real world" and providing interactive applets that allow the user to explore mathematical concepts.
IntMath started in 1997, and now attracts over 10,000 unique visitors per day, with over 1/2 million page views per month.
Thanks for all your positive feedback (see "Testimonials" at right). I'm glad Interactive Mathematics has been useful for you.
Author
I have taught mathematics in Australian secondary schools (grades 7 to 12), TAFE (Technical and Further Education), and at university level (at Griffith University and in Japan). I've also taught lots of other things, including music, English as a second language, computers and more recently, teachers.
I now run my own e-learning and mathematics training consultancy, Bourne2Learn.
Contact
Terms of Use
You may only view and print one copy of the contents of Interactive Mathematics for your own personal, non-commercial use.
You may not copy, store, either in hardcopy or in an electronic retrieval system, transmit, transfer, perform, broadcast, publish, reproduce, create a derivative work from, display, distribute, sell, license, rent, lease or otherwise transfer any of the contents to any third person whether for direct commercial or monetary gain or otherwise, except for fair dealing in an academic institution.
This includes, but is not limited to, displaying the contents of Interactive Mathematics within your own frameset (giving the impression it is your own work).
You are encouraged to link to any page of the site from your site, but you may not copy and paste the contents into your own server. You also may not "hotlink" to my images (this means putting <img src=" This uses up my bandwidth and costs me more.
You do have permission to display the site in your classroom for teaching purposes.
Contact me (via the Comments form) if you wish to ask permission to use the contents in ways other than allowed for above.
Copyright Issues
Images used in this site are either
created by me (almost all of the formulas and graphs)
incorporated into the site believing them to be in the public domain (certain photographs and clip art)
If I have inadvertently infringed copyright or used a copyrighted image without permission, please inform me and I will rectify the oversight.
Is Math Useful?
It was gratifying to see more than half of those responding felt math is "very useful" for their future job.
A poll during Apr 2012 asked readers: The math you are studying now - how useful is it for your future job?
Very useful 55%
Not useful 19%
Somewhat useful 14%
Don't know yet 13%
Total votes: 3400
Feelings about Math
It's sad that 1/4 of the respondents answered with a negative view about math. Hopefully IntMath has helped them to like it some more!
A poll during Feb 2012 asked readers: The best way to describe how I feel about math is:
I enjoy math 41%
It's OK but I find it hard 30%
I hate math 24%
No strong opinion 4%
Total votes: 3600
Study math in a group?
The recent IntMath Poll asked readers if they usually study for math tests alone or with friends. In Asia it is very common to see students in groups frantically helping each other as tests draw near.
But overall, most of you prefer to study alone.
A poll during Jan 2012 asked readers: I mostly study for math tests:
Alone 82%
With a group of friends 9%
With one friend 9%
Total votes: 2600
Calculators in math class
The "no calculator" choice could be for 3 reasons - either most students don't have a calculator, or maybe the math teacher doesn't approve of calculators, or finally, students use computers instead.
A poll during Dec 2011 asked readers: Which calculator do you use during math lessons?
TI-83, 84 or 89 39%
Casio FX 35%
No calculator 11%
Other calculator 9%
TI-NSpire 6%
Total votes: 4000
Favorite Math Activities
This poll asked readers about their favorite math activities. It is surprising (to me) how many chose "algebra". Really?
A poll during Oct 2011 asked readers: What is your favorite math activity?
Doing algebra 38%
None of these 25%
Calculator 16%
Doing geometry 11%
Drawing graphs 10%
Total votes: 2700
Friends on Facebook?
This is a relevant question after some US states introduced a new law that prevented teachers communicating with their students through Facebook (or similar), with one Missouri judge blocking the law in August 2011. It's interesting that less than half of those who responded have a "Friend" status with their teachers, and 21% don't even use Facebook.
A poll during Sep 2011 asked readers: Do you "friend" your teachers on Facebook?
None 37%
One or two 26%
NA - I don't use Facebook 21%
Several teachers 17%
Total votes: 1600
Classroom Computers
The answer "none" is surprisingly high.
A poll during Aug 2011 asked readers: How many computers are used in your math classroom?
None 62%
Most students use one. 20%
One 12%
Two 6%
Total votes: 2300
Favorite subject in school
It's probably not surprising that "math" is the most popular subject for visitors to a math site! "Geography" took quite a hit - I wonder if that's because it is not offered in many schools?
A poll during Jun 2011 asked readers: Which subject do you like most?
Math 45%
Science 20%
English 12%
Music 10%
History 10%
Geography 4%
Total votes: 2400
What stresses you?
This poll was conducted as students were doing exams before the summer break, so it's not surprising "exams" was the most stressful activity. Take heart, teachers - you are not the Number One stressor!
A poll during Jun 2011 asked readers: Which of these stresses you the most?
Doing exams 41%
Homework 24%
Relationships 18%
Being bullied 9%
Teachers 7%
Total votes: 3600
Summer activities
While playing games was popular with most readers, studying and exercising also rated well.
A poll during Jun 2010 asked readers: What are you looking forward to most this summer?
Playing games 26%
Reading, studying 25%
Exercising, sports 22%
Watching movies 14%
Summer school 13%
Total votes: 1400
What's the best time to study Math?
This result is not a big surprise. We all know it is difficult to concentrate after lunch - especially if it's math!
A poll during May 2010 asked readers: What time of the day do you find most effective for math study?
Morning (6AM to noon) 36%
Evening (6PM to 10PM) 24%
Night (10PM to 1AM) 21%
Afternoon (noon to 6PM) 19%
Total votes: 2000
Why are you here?
The poll in Apr-May 2010 revealed the following about why visitors come to Interactive Mathematics. Of course, there will be overlapping answers (we may need to "do research" in the process of "doing homework questions").
A poll during May 2010 asked readers: Why did you visit IntMath today?
Studying for an exam 41%
Doing homework questions 27%
General interest 17%
Doing research 15%
Total votes: 2200
Who are you?
It's interesting that 16% of visitors are there not because they have to be, but because they are interested in math for its own sake.
A poll during Apr 2010 asked readers: I visited this site because...
I'm a math student. 74%
I'm a math instructor. 11%
I'm just looking. 9%
I'm retired and I want to keep learning. 6%
Total votes: 2800
Math Applications
Apparently 70% of math students rarely find out why they study mathematics. We need to convince them it's worth studying, by telling them why!
A poll during Mar 2010 asked readers: I get a good understanding of how math is applied to real world problems:
In most lessons 31%
In some lessons 29%
Rarely 24%
Never 17%
Total votes: 2200
Graphs
There a many free graphing programs available, yet this poll shows most students still use paper to draw their graphs.
A poll during Feb 2010 asked readers: Most of the time I draw graphs on:
Paper 66%
Graphics calculator 19%
Computer software 15%
Total votes: 1900
History
It's good the majority of readers like history (or find it "OK"). If you have an understanding of the story behind the math you are studying, it helps you to understand it (and apply it).
A poll during Nov 2009 asked readers: My feelings about learning history are:
It's OK 46%
It's my favorite subject 26%
I hate it 23%
I've never studied it 5%
Total votes: 2300
Weekend math study
This poll was a bit of a surprise. The traffic to IntMath drops off considerably on the weekends, so it is interesting that the highest proportion was "4 or more hours" while "None" was next.
A poll during Oct 2009 asked readers: During weekends, how many hours do you spend doing math homework (or study)?
4 or more hours 32%
None 22%
1 hour 20%
2 hours 17%
3 hours 10%
Total votes: 2100
Using phones in math class
Most of us have trouble with attention deficit. Mobile phones can be a big distraction.
A poll during Oct 2009 asked readers: How often do you use your mobile phone during math class (SMS or voice)?
Never 62%
Two or 3 times per lesson 20%
About once per lesson 10%
About once per week 9%
Total votes: 1800
Summer Reading
Good reading skills are vital for effective learning - including learning math. Any kind of reading helps. For the 22% of you who didn't read at all, it's never too late to start!
A poll during Aug 2009 asked readers: This summer, I expect to read about:
One book per month 32%
One book per week 32%
No books 22%
One book per day 14%
Total votes: 1300
Helpful Math Teachers
Math teachers, take note! Students need a lot of examples to help them understand math. I was a bit surprised that diagrams and rapport were rated so low.
A poll during Jun 2009 asked readers: It's best for me if my math teacher uses:
Plenty of examples 53%
Good explanations of theory 30%
Plenty of diagrams 9%
Good rapport with the class 8%
Total votes: 1500
Calculators
It is well known that a good sense of number helps when trying to do algebra. Still, 22% of users say they use their calculator for everything.
A poll during May 2009 asked readers: Which best describes you?
I use my calculator but not for everything 57%
I must use calculator - I cannot do anything in my head 22%
I rarely use calculator 21%
Total votes: 1800
Fears
Most (normal) people regard spiders, heights and crowded places as their top fears. But readers of Interactive Mathematics regard "math tests" as their biggest concern.
A poll during Apr 2009 asked readers: Which of these do you fear most?
Math tests 36%
Spiders 27%
Heights 24%
Crowded places 13%
Total votes: 1300
Math Exam Preparation
The number of students who study till very late and those who go to be early was very similar. A surprisingly high number don't do any study the night before and very few like to get up with the birds.
A poll during Mar 2009 asked readers: What do you do on the night before a math exam?
Study till very late 33%
Study then go to bed early 32%
Don't do any study 22%
Go to bed and get up early to study 13%
Total votes: 1500
Math Formula Sheets
I asked this question because in a previous poll many students said that math is difficult because they find learning math formulas a chore.
A poll during Feb 2009 asked readers: Are you allowed to use formula sheets in exams?
Some exams only 36%
Never 32%
Always 31%
Total votes: 1500
Why is math hard?
Remembering formulas and understanding formulas were chosen as the main reasons.
A poll during Jan 2009 asked readers: What aspect of math do you find the most difficult?
Peter Bergs, Brisbane, Australia:
Thanks for this great and clear math info. Managed to work out the dimensions of a parabolic reflector I am constructing. PS: Am 68 years old, bit rusty on math, but your tutorial explained it very well [18 Oct 2016]
Karlyle, Philippines:
Very helpful site, I wish I found this earlier; it could have helped me a LOT. ;) [11 Oct 2016]
Katie Strascina, USA:
Thank you for this site! I am using it with my students and it is incredibly helpful to them! [13 Sep 2016]
Liz, United States:
What a gem your site is. I'm studying for a math exam with hopes of tutoring and teaching. Though I minored in Math in college, it was many years ago and I am extremely rusty. Your clear derivations of formulas are particularly helpful - I only remember formulas if I understand them. I'm working on Trigonometry and am so grateful for your practical applications, many examples and clarity! Many of the test prep books are riddled with errors, but now I can just check quickly to confirm the correct formula/answer. When I pass the exam and begin to earn money (am an artist too) I plan to donate! Terrific! [13 Aug 2016]
Durga Chandni, India:
IntMath had helped me a lot though I am medical student. Thanks for providing such study materials which are easy to understand.I really like it. [08 Jul 2016]
B. R. Shah, Vadodara, Gujurat, India:
This site is really good. At least we in India not learning maths in a way you are explaining. [07 Jul 2016]
Darshak Mehta, India:
This website gave really good knowledge about maths. Also, it helps clear concepts about various topics to a great extent. Thank you very much and we keep look forward for more and more on each topic in future. Thank you very much once again. :) [03 Jul 2016]
Sai Srujan Diguvinti, Andhra Pradesh, India:
I am a class 12 from Andhra Pradesh, India. I am very much immpresd and satisfied. I strongly approve your efforts of teachings. I shall recommend this for my peers and my associates. [12 May 2016]
Aagam Jain, India:
Really it is very helpfull for me . it teaches me better than a teacher [10 May 2016]
Sandhya Gupte, India:
The 3D applet is a very nice & effective way of explaining 3d concept. [07 May 2016]
Bob Mills, Australia:
I really like how you have multiple example questions, and how they get harder each one. [07 May 2016]
Esmeralda Malka, Albania:
I thank you a lot about this newsletter. They have been very helpful to me. [23 Apr 2016]
Nick Allen, Glastonbury, United Kingdom:
I'm a physics / maths teacher in the UK, and very impressed with the site. I like the straightforward approach (without the maths macho - which can come later). There's sufficient rigour to provide a good understanding, without jumping directly to abstract concepts. Interactivity is great. I'm back doing some electronics, which isn't my field, and found your interactive phasors really useful to remind me. Great stuff. Keep it up.
Regards
Nick (BA BEd MSc) [16 Apr 2016]
Bruce Scanlan, United States:
I had to send a thank you for your clear explanation of solving definite integral problems. I am taking long distance calc and the suggested Youtube videos & textbooks did not make sense. Your web explanation is spot on. It makes sense! [31 Mar 2016]
Opal Frances, Ga, United States:
Thank you so, so much for the page How to find the equation of a quadratic function from its graph! I am in algebra 1 and got stuck on a homework problem. I found this website and it is so wonderful! Unlike most other websites, this is clean, organized, and not overly cluttered with crap. It is neatly listed in order from the top down and was easy to follow. Very well explained, I understood it well after reading it through once. I appreciate the simple images to go along with the explanations, that also helped a lot. Again, thank you so much for putting together this wonderful page for people like me. I will carry this information with me until I forget it, which undoubtably will be very soon, in which case I will soon be back. [30 Mar 2016]
Akash Pattnaik, India:
I am very much Thankful for this site.
I stopped learning maths from my intermediate and always feared of math. Also due to less seriousness day by day I felt harder to learn maths. But after I got this address from web I am able to understand and learn maths from the basic concepts. After 6years gap from my intermediate I am again preparing. This is a very helpful site for everyone who fears math. Thank you very much
Akash Pattnaik's Information [25 Feb 2016]
Dharmil, India:
I love this website I learn many things from it. I also give education to my little bro from it. I also recommended this website to my many friends. [04 Feb 2016]
Dynamic Daman, Ludhiana, India:
Int math thanks for this site it has helped me a lot. I had many questions and was not able to find an answer to them this site has helped me a lot. Every thing is explained graphically just as I wanted. Thanks a lot... [26 Jan 2016]
Yue Chi Kwan, London, United Kingdom:
My dad showed IntMath to me, and I'm so glad he did because of all the maths learning resources out there IntMath is definitely the most cohesive, comprehensible yet knowledgeable maths site there is! :)
It's clear and gives me great enthusiasm (more so than usual) about mathematics because aside from lessons, it offers me interesting e-mails and other articles which I enjoy receiving.
I just wanted to thank IntMath for its wonderful website! Keep up the good work! Definitely will recommend! [17 Jan 2016]
Mohammad Abdul Rehman, India:
Thank you author very much. These articles are helping me and my friends so much. I am studying in a special college, So the lecturers are not good enough to clear our doubts.These articles are so helpful and crystal clear to understand Again Thanks for taking your time to write these articles.
[05 Jan 2016]
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luv u luv u intmath.com getting mad behind you!!!!!!!!!!!!
best fantastic fabulous website and one of the best creation of human brain i have ever seen. keep it up. your each and every stuff is best. no challenge for intmaths team. [22 Dec 2015]
Naveen Kumar, Bangalore, India:
Initially I was very poor in Maths but because of your website I learnt lot maths and now I can solve any problem in Maths, and thank you soooo much for creating this website and helped me a lot and I never forget your help. [06 Nov 2015]
Mahi, India:
Outstanding website 4 students .....very thnkfull to maker.....god alwys will with u...thank u very much [17 Oct 2015]
Larry Tierny, Gilbert, AZ, United States of America:
As I enjoy my retirement years, I am once again pursuing my study of mathematics. Had your web site been available back in the early 60s, I would have done much better. I love your presentation of calculus and differential equations. As I approach the end, I am hoping that you have similar material directed toward probability and statistics. Nevertheless; thank you ever so much for the enjoyment and knowledge that you have brought to me. [31 Aug 2015]
Terri Hines, Annandale, VA, United States of America:
You have one of the best sites on the Web. I sure wish a resource like the one you have were available when I first studied mathematics almost sixty years ago. [21 Aug 2015]
Jesmar, Philippines:
I just want to say thank you for this site. its very informative. and keep up the good deeds and GOD Bless!! [20 Aug 2015]
Rohana Sumanasekara, Sri Lanka:
I am a retired Sri Lankan General Medical practitioner and presently learning Electronic Engineering in my retirement with a view to learning Bio- Medical Engineering in future. I find your lessons on IntMath are so helpful and informative in realizing my future objectives. Thank you so very much for your valuable and comprehensive writings. [09 Jul 2015]
Shashank, Bangalore, India:
Hi,
First up, the Partial differentiation page is one the best explanations available on the Internet. I mean Math is a beautiful subject which is in sync with things around us and examples such as the one above drive the point home in such simple language. The kids who have the fortune of learning from you will never hate or be fearful of math. Thank you so very much for explaining the concept.
I am a Math major and am always looking for alternative/better explanations and I am so glad I found this. I don?t just want to be able to solve the problem, I want it to make sense to me intuitively and this did it for me. A lot of professors make it so complex and it almost seems hopelessly abstract. Thanks once again for this explanation. [16 Jun 2015]
Robert, United States:
Thank you very much for this outstanding free math resource. My son has a disability and has missed so much school due to his health. So me and his mother decided to home school him in preparation for the GED. Your math site is the absolute best I have found. I'm a math wiz, but need the structure your site provides. Also the explanations and examples are superb. Thank you! [23 May 2015]
Gene Godinez, Philippines:
I just want to express my gratitude for making this site available in the internet this is just so helpful! [17 May 2015]
Geneva Chapaman, OH, United States:
Love your site. It's been a while since I taught algebra to my gifted elementary school students. Now that I'm retired I'm available to homeschool my 13-year old nephew and need to brush upon algebra. Thanks for the easy-to-understand instructions. [12 May 2015]
Richa:
Awesome site to study... Really very helpful.. Loved it.. I will give it 5 stars... [10 May 2015]
Ben Cheung, Hong Kong:
I am studying diploma engineering course in HK but I have limited maths knowledge, so I did try to find some reference information from the internet and try to strengthen my maths knowledge. And, I found your websites are very informative and useful.
I have told my classmate your website which is very informative, the way you explain some difficult maths concept is very clear and easy to understand !! [27 Apr 2015]
Santiago Blandon, United States:
I am an electronics engineering student that has had "issues" understanding the math behind ODEs- Having come across this site has made things CLEAR!!!!! I have 4 of my books from school in front of me, and NONE OF THEM can make things as CLEAR as your website. TRULY grateful for you having taken the time to do this for everyone. AWESOME! :) [13 Apr 2015]
michelle chikomo:
felt like crying last night when i attempted the integration by parts homework exercise given to us at uni, then i came across this website. THANK YOU SO MUCH. took 20 minutes for me to understand this whole section after going through these notes #HAPPYUNISTUDENT [09 Apr 2015]
Thaha Hussain, Bahrain:
Your web site is excellent! [22 Mar 2015]
Hashim Hadi:
I want to thank you for this useful and great website... its make mathematic very easy to learn...I want to suggest that if you add pdf files contains the luctures and lessons in your web site to let people to read them when they don't have internet... thank you very very much ..best wishes [15 Mar 2015]
Kamal, India:
Tomorrow is my exm.. Nd d book ws out of stock everywhere...but this site really gave me a sigh of relief.. Nd dude this really works!!!!
Thanks for developing such helpful sites.. Hats off to the admin..
Once again thanks alot.. [08 Mar 2015]
Ashan, United States:
The examples of differentiating logs help so much! Thanks and keep up the good work! [08 Mar 2015]
Tahir Helvaci, Turkey:
I enjoyed reading and (solving) all the materials put in the web page.
Very successfully presented.
Keep up the good work.
Regards,
Tahir
[17 Feb 2015]
Obbo, Uganda:
Thanks for the content I've found on this site, it has been helpful to me. [11 Feb 2015]
Frank Di Nunno, United States:
I think what you are doing is fantastic. I started studying math about ten years ago. I try to do math every day. I love differential equations and their application. I have been doing differential equations for the last five years.
oh! I am eighty. frank [01 Feb 2015]
Abigail, United States:
Thank you, thank you, thank you for this! I have searched on multiple websites and forums looking for real life applications of integrals and to no avail! This site will help me a lot with my bonus project in calculus. Know that you're appreciated. [24 Jan 2015]
James Jackson, Zambia:
I just wanted to thank you for the time that you have been spending to send me emails full useful information. You have truly helped thank you. [13 Jan 2015]
Aditya, India:
Great site here helping me alot :) [08 Jan 2015]
Paiz, United States:
Im a student, and i really like ur site! Its easy to understand what ur showing.
I hope u can make an offline content app of your site so people can access what they want to learn without internet connection.I'll totally pay for it. Other tht that good job! [30 Dec 2014]
Rachel Bell, United States:
I am a high school math teacher and absolutely love what I have seen from this site. It's a great way to incorporate technology in my classroom and the students (even seniors) have a blast with the interactive components. [19 Dec 2014]
Hasira, Malaysia:
Thank you so much ,now I can understand it clearly ,,,and also I can solve math question by only refer to your intmath ...I really appreciate it :) [08 Dec 2014]
Lee Jephson, United States:
Your site is informative, clear, and I think everyone can benefit regardless of their level of skill. Math is a lot of times so conceptual it is hard to relate to what the problems are actually addressing. I think that is a huge problem, as well as teachers do not relate to real world problems. You do such a great job with all those things, and provide deeper understanding by providing the proofs, thank you so much for having a site like this. [05 Dec 2014]
Mahesh Teli, Germany:
Thanks a lot for the efforts and making Maths so interesting. [03 Nov 2014]
Lauren, United States:
IntMath makes learning math make SENSE. Even better, it's simple outline helps me to de-frag past learning and wipe the slate clean so that I can actually PASS THIS CLASS! More important than any of that.. no more panic attacks every time I sit down to homework. [23 Sep 2014]
Andrew, United States:
Thank you so much. Your examples and explanations have really helped me in my calculations. Most helpful and comprehensive explanation by far. [30 Jul 2014]
Shelly Rector, United States:
You guys are awesome!! Thank you for this website and all the great additions to our curriculum you give me. It's exciting for the kids to see math in action! It makes the routine math problems more exciting knowing and seeing the applications more clearly. I appreciate you all!! [14 May 2014]
Syed, India:
How I wish I had access to this website during my engineering college days. [13 Apr 2014]
abshir mohamud, Pakistan:
sir i appreciate what you doing in intmath. let me narrate my relationship with intmath in the last 5 year.
in 2009,i wanted to study electronics engineering and enrolled in the program. my only handicap was math, fortunately i stumpled upon interactive math and started studying rigorously from the basic math to calculus
the nicely explained concepts made me from math dyslexic to math geek in just one year,after four years i finished my degree with fly colors but that wasn't the end,from time to time when ever i feel rusty in the math area i come to intmath to hone/resharpen my math skills. [17 Mar 2014]
Arijana Burazin, Croatia:
I really like your site, for me the best Math web site I've ever seen. Interesting, with some real life examples, easy to understand. [18 Feb 2014]
Yilkal, Ethiopia:
This is a very interesting and attractive explanation. I like it very mach. Thanks for this web site because it has very easy and understandable presentation. Again thanks!! [31 Jan 2014]
Charmaine, South Africa:
I'd really like to thank you for your effort, I am writing my 1st exam in March and I was so frustrated, but you rescued me. May the Lord shower you with blessings. [29 Jan 2014]
Ann Teve, Canada:
Brilliant site. I tutor university level students in mortgage finance, economics and basic statistical math. Getting back to first principles is frequently necessary (even for me, sometimes) and this is an excellent site for review and strengthening lapsed or forgotten skills necessary to understand higher level maths.
I will unquestionably recommend your site and refer statistics students to it. [17 Jan 2014]
Rachel Ryan, Ireland:
I have never met you in person, but you need to know how much help your IntMath Newsletters were to me whilst I was studying. I returned to college as a mature student so needed every bit of assistance I could get, and found that through your newsletter and site.
Thank you so much and best regards,
Rachel [13 Jan 2014]
Bernie, United States:
My son is home schooled and need some help with algebra. I came across your website searching for some additional help and want to thank you for this website, it's been a God send.
[02 Jan 2014]
Suzie Welch, AL, United States of America:
This is my #1 go to site for use in my classroom! I teach high school Pre-Calculus, Trigonometry and AP Calculus. Thanks for an awesome site that is informative, interesting and helpful for teachers and students! [28 Sep 2013]
Hilary, United States of America:
I used your site when I was studying. Now I am a teacher and looking forward to using your site in my classroom. I especially like the interactives. Your site helped me pass the praxis with excellence. Thanks! [21 Aug 2013]
Muhammad Wadood Ahmed, Houston, TX, United States of America:
Your website is amazing for late bloomers. The best part of this website is the side information provided with math topics. [30 Jun 2013]
Andrew Seeney, Dublin, Ireland:
Thank you for creating such a fantastic maths resource! You should be very proud of what you've done. I'm 37 and I'm learning maths again :) [18 Jun 2013]
Ricardo Correia, Lisbon, Portugal:
Easy explanations for tough stuff. Probably the best teaching website I found over the Internet.
Keep the good work :D
I'm currently taking a electrotechnical engineering course and sometimes I see a lot of difficulties from my teachers explaining some \"hard\" issues. In this website, those \"hard\" issues are explained in a very simple and intuitive way - that's how it should be in school! [25 May 2013]
Aptha, Bangalore, Karnataka, India:
This is one of the best sources I have ever read for Mathematics. [12 May 2013]
Joshua Vicaro, Manila, Philippines:
Sir you're GREAT you help me to understand what is this differencial calculus, many thanks :) [12 May 2013]
Yaseen Khan, Pakistan:
Hi, this is a great website for every one who want to learn maths. great job! [18 Mar 2013]
Chris Davey, London, United Kingdom:
Thank you for a fantastic site. IntMath has helped myself and other people with our studies. [28 Feb 2013]
Morad, Dhaka, Bangladesh:
I just like to thank the concerned authority. I was having problems with math and now its ok. [27 Feb 2013]
Bilal A-Diab, Ottawa, Canada:
This website was my savior in my time of need. Website is awesome, you are awesome! Thanks a lot. [15 Feb 2013]
Justin Chan, Hong Kong:
I am so happy to have found your website; it's much clearer than the textbook, and I like how the explanation is so clear and concise:) [08 Feb 2013]
Alfredo Bustos-Ramirez, Sydney, Australia:
Thank you very much. The lesson on Fourier Series was very easy to follow an understand. [10 Jan 2013]
Bob Derham, Guildford, United Kingdom:
This site is great. I am in my 50's and maths has always been 'unfinished business'. Now I can read up and finally get closure. Thank you very much [19 Dec 2012]
Jenna, Twin Falls, Idaho, United States:
I LOVE this website! Thank you so much! I'm currently trying to make my way through advanced engineering math and needed a review! This has been immensely helpful! :) [17 Dec 2012]
Safwan, Dubai, United Arab Emirates:
Hi, I am really thankful for all the work that u put in, it is really helpful.
I am now able to solve all questions.. :) [08 Dec 2012]
Chukwudike C-Madu, IA, United States:
I am a freshman in college currently and majoring in Electrical Engineering. This website has really helped me understand my trig functions and identities. [26 Oct 2012]
John Salazar, CA, United States:
Intmath is a great help in my studies...thank you soooo much! [19 Oct 2012]
Lateef, Agra, India:
Mr Bourne you are really genius, you have made it easy for the average students to get the concept of calculus. Thanx. [14 Oct 2012]
Raji Shayya, United Arab Emirates:
I am a mathematics teacher for grades 11 and 12 working in UAE. I wanted to thank you long time ago for the useful site you have and the efforts you are putting to make it a beneficial site for instructors and students.
I used the part related to conic sections in class, it was very efficient and students understood the conic sections as a cross sections of a double napped cone and have seen it clearly.
Thank you for this site, wishing you more success. [24 Aug 2012]
David DeMar, New York, United States:
i recently discovered your Website and i love it! i am a 52 yr. old attorney involved in the self-study project of learning calculus I & II 'just for fun' using a variety of resources. i look forward to using the site to improve my integration by parts skills.
You may be interested to know that a single unkind, non-encouraging comment by my pre-calc. teacher at my high school ruined math (something i loved and was good at as a 17 yr. old) for me for decades. when i tell people about this part of my math sojourn i hear back similar stories-more frequently from women.- it's a tragedy that continues to repeat itself. all the best, keep up the great work. [20 Aug 2012]
Richard Goodwin, CT, United States:
Thanks for a great learning resource, particularly for those of us who can't remember their college maths. [17 Aug 2012]
Vandana, India:
Thanks is very small word to describe what good ur maths site does to me! [16 Aug 2012]
Omar, Dubai, United Arab Emirates:
I just wanted to take this time to thank you for all your information, to tell you how helpful you have been and how I have tried the past year of my second year in BEng Civil Engineering to actually understand and grasp the concept of Laplace Transforms. Thank you for your great work. I am sure you have benefited many more students in need of a good simple way of understanding mathematics. Thanks again and keep up the good work. [13 Aug 2012]
Amanda Ling, Australia:
I really appreciate that you've set up this site and that you've helped me a lot in understanding maths. [12 Aug 2012]
Larry Shapoff, CA, United States:
Thank you very much for a wonderful collection of math lessons. I am using your calculus notes to help me learn
calculus on my own. [11 Aug 2012]
Suriyanath, India:
IntMath is the best site for students explaining about basic math which was not learned efficiently during school days. [25 Jul 2012]
Kay Wonderley, Australia:
Thank you for such a great site.
With this I have taught myself complex numbers and how to convert from rectangular to polar form. Also vector dot products and angle between vectors. [22 Jul 2012]
Tim Mallon:
Hey Murry I just wanted to say thank you. Im a 57 year old dude who went back to school at 51 (I retired but wasnt dead yet) and found your site out of desperation. School is over but your site has continued to enrich my life, Thanks. Tim Mallon [20 Jul 2012]
Harpreet Kaur Tinni, India:
thanks a lot your site is very useful it made my life i want 2 say thanks again for
making maths so simple by merging it in the applications of science. [18 Apr 2012]
Shirish, Germany:
The way that u make me understand the topics is just superb. I started learning from ur site with a tough topic, as I consider it, Integration and it was jus great thanxxxxx n keep going! [18 Apr 2012]
Ajith Kumar A, Chennai, India:
This is a wonderful site for maths. Made and explained very well. It helped me a lot. And i am very thankful to Mr.Murray Bourne. [04 Apr 2012]
Andrew Mitin, Minneapolis, MN, United States:
It's a great pleasure to read your site. I'm in precalculus and AP Physics B classes of an American high school, and these classes are structured to avoid exposing students to calculus. I thank you for creating a website that empowers me to get to know calculus as I introduce to myself related fields of study. [02 Apr 2012]
Neil Sheldon, United States:
Great explanation of division of complex numbers. I've been to a couple of other places that made it sound like it was extremely difficult. There is a whole lot of technical stuff out there that could use the 'simple' approach.
[24 Mar 2012]
Holly Tuten, PhD, United States:
BRAVO! This site is of inestimable value to math learners worldwide! Great job! [10 Mar 2012]
Matt, Hong Kong:
Your website is fantastic. I am a self-proclaimed (though a bit out of practice) math nut and father of a young son going through middle school algebra and your site is absolutely brilliant! This is a tremendous resource for anyone looking for intuitive ways to understand mathematics. Thank you for the effort, you should be applauded! [10 Mar 2012]
Robert Bywater, Oxford, United Kingdom:
I want to thank you for the stream of good and interesting math messages you have sent over the years. Greatly appreciated!! And long may it continue!.
I suspect that your message about math is the same as mine, that I try to get young people to understand that \"there is no subject (you name it) that comes close to math when it come to providing 'ah-ha' experiences\". (The same mathematical structures turn up in so many different contexts).
Math can be perceived to be difficult but you, amongst others, like my countrymen Ian Stewart and Marcus du Sautoy, make a sterling effort in making it accessible.
Math is not more \"difficult\" than poetry, and in many ways is like poetry (in that it condenses ideas). [19 Feb 2012]
Mahesh, Bangalore, India:
I am really thankful to this website. I have understood the fourier transform concept very easily on my own. More than all I was worried if you have put registration for sending feedback, which takes additional time. Thank you intmath... [03 Feb 2012]
George Thompson, United Kingdom:
Hi, Just want to say what a great resource Intmath is, in-depth but easy to follow. Keep up the good work! Cheers, George [27 Jan 2012]
Jessica, Canada:
Best site ever! Im in first year math and i was so confused since I never learned a lot of the review and its been months since I've done an math. Thank you so much for your help :) [23 Jan 2012]
Mark Southcombe, Spain:
Thank you very much for your superb site. I did A level maths at school and I am starting to learn programming so needed to brush up on my maths. Your site is well laid out and thought out, displays well on smartphone as well as normal web browser. [20 Jan 2012]
Prit Patel, PA, United States:
Intmath had me reminded the beauty of perfectionism. The way you're downloading math into my brain, it is hard to open my eyes. Well done! [02 Jan 2012]
Mohamed Taher, Egypt:
This website is just awesome. Every time I feel I need to sharpen my math skills again, I come here to find what I want. [24 Dec 2011]
Peter Konje, Zambia:
These have been the most excellent notes on differentiation and integration I have managed to understand. Thanks a lot, I could not understand what my professor (lecturer) was saying but I have now managed to grasp the concepts quite well. [24 Dec 2011]
Matt, Leicester, United Kingdom:
This is a brilliant site Murray, I'm a mathematician myself, yet still you've managed to bring back to memory things that i've forgotten! Excellent site. [02 Dec 2011]
James Xiao, Vancouver, Canada:
This site really helped me out a lot. The descriptive and easy to read details, and great examples let me understand the concepts very well. Thanks so much! [25 Nov 2011]
Charles Eichab, Windhoek, Namibia:
I am a math and stats undergraduate student from Namibia. I found IntmMth such a great resource.
I like the clarity and the simplicity in which the material is set out. [24 Nov 2011]
Parth Mody, Mumbai, India:
I would like to thank you for such a fantastic masterpiece you have built. [24 Nov 2011]
Rajesh Kumar, Bangalore, India:
Dear Sir, Your site is really worth full for learners. It is really more than a game for science and math lovers. Congratulation for you and your site. Thank you^9999999999 sir!!!! [13 Nov 2011]
Jason Riches, Boston, MA, United States:
This site has been a lifesaver for me in Calculus 1 for Engineers. You alone have taught me far more than my "prestigious" college professor has taught me all year. Your site is the best resource for math on the web, and you address all topics that other sites are afraid to address. The lessons are the perfect length and very easy to follow. I wish I could take my tuition money back from Northeastern and give it you! [09 Nov 2011]
Andre, Canada:
Your site is awesome and I bookmarked it. Thanks a million for a great site! [07 Nov 2011]
Aron Jun, Germany:
Intmath is the best... it is so student friendly... keep it up. [30 Oct 2011]
Arpan Sinha, India:
IntMath is great! I am greatfull to have this site to learn & enjoy math. [16 Oct 2011]
Lanora:
I love this site, it is the best. It doesn't just give you the answers but it also shows you how to get it. [08 Oct 2011]
Krishnakumar Bethanasamy, Chennai, India:
The site is excellent. I am 47 now. Only now I get a firm grip of basics I missed out in my school and college days. [24 Sep 2011]
Shakira, Jamaica:
Great site. Extremely helpful. It could replace a teacher. Such a well thought out maneuver on your part deserves commendation. [14 Sep 2011]
Hilary, Pennsylvania, United States:
This is a great site. I am brushing up on math to get certified to teach and have not taken a math course since 1980. This is a big help. Your explanations are very clear and user friendly. I will emulate this when I teach!
[31 Jul 2011]
Elshaday, Ethiopia:
Wow! I have no words to express my feeling for the IntMath.com resource. The steps you follow, terms you use and techniques you apply are all smart and very understandable for any reader who has even a little knowledge about integration. Thank you very much for your effort and enjoy your moral satisfaction for ever! [31 Jul 2011]
Rushi, India:
this website is very very very useful and informatics .....the way it explains all topics is awesome great ..... thank you very much sir ....and my request is to add some more flash animations .....thank you again :) [21 Jul 2011]
Aaron, Australia:
This page is awesome. I have an exam next week and having examples i can practise on (and compare with your working to see where i went wrong) is FANTASTIC. Having the working is a major plus compared to my calculus book which only provides the answer and i can't see where i went wrong in the process. You sir! are a treasure to the human race, thank you so much :) aaron [25 Jun 2011]
Dennis Gott, United Kingdom:
Brilliant. The music frequency pages are just what I was looking for! [19 Jun 2011]
Emily Blackman, United States:
Thank you sooo much for your help in Calculus! I'm taking my exam tomorrow & I feel 100x more confident about passing! (and to think that all it took was a couple hours!) [12 Jun 2011]
Kaltham Alameery, United Arab Emirates:
I don't know what to say. Really it is a wonderful site. I appreciate the efforts Dr.Murray. Thank you very much. [11 Jun 2011]
Alex Selby, United States:
This is the best math website if not the best learning website that I have ever seen. This type of teaching could revolutionize teaching math, no doubt. [10 Jun 2011]
Boyd Miranzi, Ireland:
Thanks for this website, it helped me so much to prepare for my first year final exams in building services. [24 May 2011]
Paramdeep Singh, Delhi, India:
I just want to thank you all from the bottom of my heart for your help in calculus. Your work is benefiting many people around the world. Keep up the good work! [21 May 2011]
Mono Lisha:
This is the best math site I have ever visited. I had little trouble in understanding certain concepts but this site helped me out. [13 May 2011]
Willy, Washington, United States:
Hey, just wanted to say thanks a lot for the website. I was wondering when I would have to pay for the content, and I was surprised to find its free! It is very professional and nicely maintained. You are doing a great service by spreading this free math knowledge. [09 May 2011]
Steve, United States:
Just wanted to tell you intmath is the best website I've come across, next to google. Thank you for everything. [22 Apr 2011]
Andrew Hunt, United States:
I've been using your site for quite a while now, and very soon I will be going to a place with no internet for about a week. I was wondering if there was a pdf of the site I could download, so I could take it with me, as when I get back I have a calculus exam, and your site has become completely necessary to my survival in the class.
If not i will just copy and paste it into a word document and take that with me. Just wondering if you have some sort of pre-made document for on the go learning.
also, I should tell you how grateful I am for this site. You teach in a few webpages what authors of textbooks take thousands of pages to 'teach'.
sincerely, andrew [22 Apr 2011]
Rachid Hadjidj, Qatar:
Your web site is wonderful. It is very simple to read, yet very comprehensive. Bravo! [08 Apr 2011]
Sandesh, India:
Thank You for providing this great website. The concepts are very easy to understand and grasp. [26 Mar 2011]
Gloria Goitsemang, Botswana:
thank you so much for posting this in the internet..its really awesome.. i dont have a text book.. so this is helping me so much as i practice on these questions you have posted.. May God be with you.. and May he increase your knowledge.. Thank u so much.. [26 Mar 2011]
Zedan Khan, India:
Sir, you are just awsome. i never found a best site for CALCULUS than your website.
with full understanding and approaches. [26 Mar 2011]
Peter Hilton, United Kingdom:
Hi, I just want to say that this entire site is bloody brilliant! Thank you. [26 Mar 2011]
Doug Davis, United States:
I am an electrical engineering student at the age of 39 and this site is VERY user friendly to me. Do you offer your trig and calculus sections in text for future reference? I know this information can be found in me text but that was written by a person who does not know how to teach big dummies like myself. Thank you, Doug. [25 Mar 2011]
Adam Yu, United States:
Dear Professor Bourne,
I am currently a freshman planning to major in electrical engineer and I will like thank you for creating such a helpful, interactive and fun site. You were able to take hard subjects such as calculus and explain it in simple and interesting ways. The most helpful section for me was the algebra, trig and calculus 1 and Calc 2 subjects. I am sure that your good deed has help millions of people around the world to love and learn math. I will definitely recommend this site to my friends and classmates. Keep up the good work!!
Mustafa, Denmark:
I just want to thank you for your perfect help with matrix and solving these problems... very very clear teaching... [16 Mar 2011]
Kulthoum Abbas Ismail, United Arab Emirates:
I really benefit from this site - it's interesting and beneficial!!!!^_^ Thank you very much.
[24 Feb 2011]
Mohammad Issa, Lebanon:
Intmath.com is AMAZING!!! I've told all my friends about it so they can check it out and see the beauties i see everyday!!!
I'm really happy with it! THANK YOU [16 Feb 2011]
Elvis, United Kingdom:
I just want to say it is a great job you are doing with IntMath.com - it helped me a lot with my homework and I thank you. Keep up the good work. [05 Feb 2011]
Sachin, Norway:
Its really nice explanation of mathematical terms using graphs, examples and visualization software. Definitely I will recommend your site to my friends and colleagues to understand the mathematics terms.
Thank you very much! [05 Feb 2011]
Caleb Hill, United States:
First off I d like to say I like your website. It is a great review of the basics for someone taking higher level courses in college. The examples are great. Thanks again for the great site! [02 Feb 2011]
Zomicano, Kenya:
Thank you so much! This is the best and easiest way to learn most if not all levels of mathematics.
I just used your website for the first time today and couldn't get off it for the last 6hrs. I have to sleep now simply because its 1:33am and people are usually required to sleep around this time!
By God, I hope I wake up in the morning and still find your website in existence! [18 Jan 2011]
Jay Bhavsar, United States:
Thank you for the site, it's amazing! Is there a website like this for other subjects? [15 Jan 2011]
Ahmed, Pakistan:
You have one of the best math sites i have ever seen. i am addicted to this site since 2008...i learnt many useful things in here and my addiction paid off, i scored A+ in my engineering courses and my friends call me a math geek.
Thank you and i really appreciate your work sir. [13 Jan 2011]
Peter Leftwich, San Diego, United States:
REALLLY hugely enjoyed reading this page- Math of Beauty - and the tone of voice or style was superbly well written! You should be nominated for a kind of annual award in mathematics advancement / or teacher's recognition [15 Nov 2010]
Bethany, United States:
I love IntMath.com it gives me all the answers that i need. [14 Nov 2010]
Orion, Canada:
I just wanted to express my deep gratitude for the great minds who run this website. Thank you very much; you've helped me a lot. [06 Nov 2010]
Patti, United States:
Thanks for this site. I am taking an online class for my graduate classes and since it's been nearly 30 years since Algebra being able to check my work and finding out I am doing it correctly is AWESOME. Thank you. [06 Nov 2010]
Jeremy Springston, Afghanistan:
This site is absolutely amazing. I'm active duty Navy and have been in Afghanistan for a while now and, thanks in part to your site, teaching myself Calculus has become bearable. When I get stuck somewhere, I know your website will have the "key" to my problem. I made an A in my Pre-calc class, and am currently making an A in Calc I and, the best part, I fully understand what I've learned! Again, I'm deeply thankful for all your efforts and keep up the fantastic work. [31 Oct 2010]
Melissa Lester, Ontario, Canada:
I was away from college for almost a week (sick) I found your website. It is so easy the way that it is outlined thank you so much. I am so glad I found IntMath.com. [25 Oct 2010]
Laila Utari Ratna, Bandung, Indonesia:
Thank you for everything you've done to make us LOVE the math. I'm rather not confidence and stressful everytime I do my math homework or exam. but actually I'm an engineering student I have to deals with math everyday until the end of my life. thank you again for squarecirclez and intmath. you really do great job and make this world looks better for me..^_^ [22 Oct 2010]
Juan Porras, Windsor, Ontario, Canada:
Thanks a lot for this awesome site! one of the only ones I've seen where you can actually understand what is going on, the flash examples are very clear, my #1 favourite math site.
thanks again and kind regards from Canada [21 Oct 2010]
Alex, CA, United States:
Hello, your site is really great for learning math.
IntMath really is THE BEST complete math tutorial website I've found. It can allow people to learn math from 1,2,3,4 all the way to advanced calculus and explains each topic very well.
great work [09 Oct 2010]
Abhinav .c.k, India:
You are really a great tutor. [06 Oct 2010]
Shaikh Moulaali, India:
Nice work. Most useful for all ages, students or parents. [03 Oct 2010]
Stacy W, United States:
THANK YOU for such an amazing resource! This is the clearest presentation of basic calculus principles I have come across. I really wish I had this site available when I was an undergrad! [01 Oct 2010]
Eric Mittman, United States:
I love this site. I mostly read the blog articles and enjoy the friday math movies. Most of the stuff I have seen here is accessible and seems well written. I will recommend it to my students for its tutorials and as a go-to site for enrichment. Thanks! [01 Oct 2010]
Kwame Adjei, Ghana:
I like IntMath very much.I will be able to do my homework now. [17 Sep 2010]
Aaron Adjei, Ghana:
In fact, I am in love with your tutorial. It was carefully and analytically designed for easy understanding. Thanks very much for your lecture. [13 Aug 2010]
IntMath fan, India:
This is a wonderful website. I am a 12th science student. I have differentiation and integration topics in my syllabus. I am not a marks oriented student.
Whenever I asked my teachers that where do we use integration and differentiation? why do we study differentiation and integration? what is their use? No one could give me satisfactory answer.
Whenever I asked my teacher that why do we use this step and not that in the sum, the common answer I used to get was that answer of the sum comes through this method and I felt mathematics as a mugging up (learn without understanding) subject and lost all my interest from it.
But after visiting your website, I got all my answers. All the topics are explained in detail.
Thank you very much. [13 Aug 2010]
Ryan Roman, Nashville, TN, United States:
Your website is very well done. It has helped me out of a bind more than once and today even helped me understand some things about Laplace Transforms. Your section on Differential Equations has made my online course bearable. I am sorry I cannot donate as I do not trust online transactions very much but you have my heartfelt thanks for maintaining this site for students like me. [03 Aug 2010]
Lee Townsend, Hartford, CT, United States:
Your site is amazing. I will recommend it to all my students in the fall. Your site addresses all the needs of my students - precalc, calc, and DE. They are technology students and, as very concrete thinkers, they need to see every step every time. Thanks so much for your site. It's the site I have been hoping to find. [30 Jul 2010]
Audrey Blander, Canada:
I am taking summer school for Advanced Functions and my teacher is HORRIBLE! This website saved me from getting a 0 on my quiz. Thank you thank you thank you so so so much and i will come back for more helpful hints [24 Jul 2010]
Dale Hawley, United Kingdom:
Hi, I'm in the Navy (UK), and have found your site excellent. I did a degree in Electronics some time ago and found your explanation on Laplace and Fourier Transforms were the best I'd come across yet to help me get back up to scratch and remember. [24 Jul 2010]
Arthur McCammond, Rockford, IL, United States:
I find your web site very helpful. The simplicity of your explanations helps make the understanding of the material much easier. I can understand your examples very well and they help make the material sink in. Please keep up the good work!!!! [24 Jul 2010]
Swe Jim Wong, Kuala Lumpur, Malaysia:
This website is very useful for secondary students to understand the basics because there are worked examples provided. The explanations here also very easy to understand and direct to the point. [20 Jul 2010]
Sara G, Los Angeles, CA, United States:
I would like to say that this is the best math website I have ever used to aid me with studying. Thank you. [18 Jul 2010]
Jaime, Philippines:
Your lessons in addition, subtraction, multiplication and division of algebraic expression is really understandable... I said it because truthfully i can understand your lesson well than listening to my math instructor. I'm currently 1st year college and I'm really a slow learner in the field of math since high school and I'm glad i found your site,and i would like to ask tips on how to handle "heavy math problems" especially in COLLEGE ALGEBRA...thanks a lot again!! [18 Jul 2010]
Venkatraman, Sohar, Oman:
Dear Gents: This website is designed better than a Mathematics Legend / professor. No doubt it saves our time during execution of some scientific calculations within a few seconds. It's great and I just wonder about the brains behind this site, and this service is being given 100% free. [11 Jul 2010]
I'm so lucky to have found this site. It really helped me in fundamental and conceptual understanding of the various maths topics. Yours is the best math website on the net. Hats off to you!!! [11 Jul 2010]
Ravi Khemka, Mumbai, India:
The site has been a godsend when i got stuck with integration. Thank you so much. [11 Jul 2010]
Fuseini Jaatoe, Ghana:
The information on this website is fantastic. I have found a whole lot of information that has helped me update my knowledge of matrices. [06 Jul 2010]
Sam Daly, Navan, Ireland:
Excellent site!!! Please don't let me go on-line one day to find this site has gone. I'm depending on this for the whole of my college life. Thanks! [27 Jun 2010]
J. Venkata Ramana, Secunderabad, India:
O! Great Guruji! I bow to you. A very astonishing, surprising way of teaching Mathematics with ease. Your years of experience is shared by many in the world. You are re-defining the society this great way by parting your great skill of teaching mathematics. When one visits your site the content gets recorded in the mind. They cannot forget. This is a great job! You are helping the world towards Science.
My God! You are Great! Great!! Great!! Sir. [21 Jun 2010]
Nasif Alam, Lachine, Quebec, Canada:
Amazing site. Man I owe you my life. It's so vivid u can just picture it in your head.
i learned calcalus in like 5 minutes from your site, you re amazing. You're site is infinite times better then the videos i watch in youtube. Excellent work! Thank you so much, youre an inspiration.
CALCULUS SEEMS SO EASY. SORRY FOR THE CAPS. :) [05 Jun 2010]
Richard, London, United Kingdom:
Hi Murray,
Thanks so much for your Intmath website. It's really useful, it's really clear, easy to understand, well laid out, well explained, and it's in plain English. I use it all the time, it's great!
Richard (London, doing a BEng Civil Engineering at City University London) [14 May 2010]
Elisa, Singapore:
I'd like to say a great thank you for saving my life! I'm suffering under trigonometry differentiation now and your website made it much clearer than my teacher (poor thing) ever did. Keep up the good work! [11 May 2010]
Gordon Earls, Dublin, Ireland:
Very clever. Never seen algebra explained in such a simple and straightforward manner. Keep up the good work. [09 May 2010]
Tanja, Chur, Switzerland:
I would like to say that this site is the best which I have found in the internet! Thank you for your help! [09 May 2010]
Solomon Tajfar, Kuala Lumpur, Malaysia:
My nephew came to me with a trigonometry question. I did a web search only to get here. You have done a marvelous job. Thanks
Actually, I am planning to use your site to refresh my math. I just felt like doing this after I browsed through your pages. [01 May 2010]
Naba, Mumbai, India:
Thank u very much for this section on Dot Product otherwise this was very difficult for me... [25 Apr 2010]
Anthony, Trinidad and Tobago:
I am a student from the University of the West Indies, Trinidad and Tobago.
I didn't understand the way my lecturer taught differential equations, and spent many sleepless nights, reading and browsing youTube videos.
I believe that Interactive Mathematics has made it crystal clear, since it has a nice interface, easy to navigate, and the exercises gradually increase in difficulty.
Thanks a lot!!!!!! [25 Apr 2010]
Jasmin, Palm Coast, Florida, United States:
I just used your web site for the first time today. It is great. Good job in putting math in clear and less complicated structure and easy to browse, i will use it again.
thank you. [17 Apr 2010]
Fardin Ahmed, New Delhi , India:
I am a FAN.I love this site so much that I like to spend more and more time here.
This site is awesome,I have no other words to describe it.
I never liked maths but after I started looking for options on internet I found mathguru.com and spent some time learning my basics I wasn't satisfied...then I found out intmath.com and I don't want to leave now...my search ends here.
I love the way you guys explain the basics and the tips and tricks for solving the problems is out of the world.
I am just wondering that if maths can be so easy why people try to make it so complicated.When I try and look inside the books I feel like pulling up my hair.
If anybody asks me what made me love maths the answer would simply be intmath.com.
Keep up the good work guys...
Rock On...
Thanx! [17 Apr 2010]
Hunter McMillan, Raleigh , North Carolina , United States:
I am writing a paper for my calculus class, and mine in particular is about vector art. I was struggling because it has to be a math paper, and therefore must have at least one equation, and I was having a lot of trouble getting that kind of information - I knew the basics of how programs like Illustrator work, but I couldn't find anything explaining the math behind it. I finally found this site and subsequently the article on vector art and it helped a lot. Just wanted to say thanks. [17 Apr 2010]
KJ, United States:
This site has been wonderful at helping me review for my precalc tests. My teacher doesn't always bridge the gaps between some units and this helps bridge said gaps on my own. Thanks! [02 Apr 2010]
Jegor , Estonia:
IntMath is amazing! I went through the whole of your IntMath website. It's a masterpiece! Thank you a lot! [01 Apr 2010]
Mehrdad, Arak, Markazi , Iran:
Thank you very much. Although i graduated from the u.k. a long time ago, it was a great pleasure to learn maths again and learn more from you. Thank you and wish you very success. [22 Mar 2010]
Zsuzsi, Denver, CO, United States:
I just read the 3-D geometry page which discussed, "Earth geometry is a special case of spherical geometry. ..." It was an excellent, easy-to-understand article explaining latitude/longitude! Thanks for the time you put into it and this website. I will return here soon!
Again, thanks for all your efforts in helping even those of us who are not in school but want to continually keep on learning! Z [22 Mar 2010]
Hafsa, Abu Dhabi , United Arab Emirates :
I love this site! Its so user-friendly and has everything I need. My interest in Maths has actually awakened, thanks to your site! [22 Mar 2010]
Shruti, Bangalore, India:
It's been 7 months since i started my college in India, with Maths as a core subject. its really gr8 to learn from here, coz i learnt the distance formula the 1st time, which my professor couldn't teach for 10 months. thank you [17 Feb 2010]
Nolan, Lincoln, Nebraska, United States:
Thanks alot for the help. You have no idea how much it does help. Keep up the good work! [17 Feb 2010]
Kevin, Federal Way, WA, United States:
OMG! You guys saved me!!!! I have a calculus exam and my teacher doesn't know how to teach!!! BUT I STUMBLED UPON YOUR WEBSITE AND YOU GUYS ARE A LIFE SAVER!!!!!!! THANKS SO MUCH!!!! [17 Feb 2010]
Audra Odeh, Lawrence, Kansas, United States:
This website is a fantastic resource, I'm in college and struggling with Calc 2, and this website is as good, if not better than a tutor...the examples are explained so well, and so easy to follow that so far, I have taught myself everything I've had trouble with. THANK YOU SO MUCH!! YOUR SAVING MY GRADE!!! [16 Feb 2010]
Jacob Grossbard, Sydney, Australia:
Dear Mr. Bourne,
I can only add my vote of thanks for your excellent site. I came back to math and other sciences some years ago after decades of doing other things (life) when I took up astronomy. Loved math as a school student and always found it useful professionally and in all facets of life.
Your web site is an example of the generosity of many who give of their knowledge and time to better others. You are a great educator and the clarity and methodology of your explanations and examples are exceptional.
Again, thank you very much and good luck in your work.
Jacob G.
Michael Spiers, Greenville, South Carolina , United States:
This site is great! Whenever I have trouble with an Algebra 2 problem I know where to come. The first time I searched this site, it was easy to use and extremely accurate.
Thanks for making my school life easier...or at least at home!:) [14 Dec 2009]
David Arbuckle, Lake Worth , FA, United States:
Thank you *so much* for creating and maintaining this site. It is by far the most informative and well-organized math teaching site I have ever found. [13 Dec 2009]
Manivannan, Chennai, India:
I completed my graduation 10 years back. Even though I studied reasonably well in Engineering, I never gained the confidence in visualising what I studied, due to lack of knowledge in Mathematics. Afterwards, I completed Masters. Now I am planning to do Ph.D.
But I always had self-doubt in my ability. I started looking for the easy but powerful tutorial on the net. After getting into your site, I quit searching further, and I started gaining confidence by learning daily through your website. Yours is a good work to humanity.
Keith Young, Barnsley, UK:
Thanks for providing a brilliantly comprehensive site! It has refreshed my memory and rekindled my love of Mathematics, which had gone into hibernation of late!
Lyzette Luppnow, South Africa:
About 3 months ago I was having serious difficulty with Mathematics.
I'm currently re-doing grade 12 through a correspondence programme and the aim is to get university exemption. Unfortunately the textbooks assume that you should just know how to apply principles without explanation. I did my grade 12 in 2000 through a technical college, only to find out that the certificate is not worth the paper it's written on! You can imagine what a challenge it is to learn mathematics on my own without a teacher or other students' input.
Thanks to your comprehensive site, I am understanding mathematics for the first time in my life :-) I'm afraid a BIG thank you simply doesn't explain how grateful I am. I used IntMath extensively & even printed out some of the sections to use as notes. This site is better than all the math teachers that I ever had in school.
Yesterday I received the result for my Algebra assignment which was in the form of a 3.5 hour test. I scored 81% :-) It has boosted my confidence immensely. I'm even quite excited to do the next assignment! After Algebra I have 2 more sections that include Trigonometry, Euclidean Geometry, Analytical Geometry & Calculus. I have briefly browsed at the related sections on this site. Mathematics is no longer a scary monster :-) Thank goodness for intmath!
In May 2010 I write my final exams & I know I can tackle the math paper with confidence. Thank you VERY much!!
Dudley Grant, Wicklow, Ireland:
Thank you so much. I'm a physicist and often in our books things are just left out. It usually says: "After some maths, you get this." I know it is true, but I need to know. Your site provides the best information that I could find no where else. Thank you so much!
Vanessa, South Africa:
Wow this website is awesome. My understanding of maths is made so clear here. Thank you.
Rodrigo Diaz, Mexico:
This site is truly amazing, after years of struggling i am finally understanding math in a very clear way. Thanks! Sites like this (and people behind them) make the internet a better place. Cheers.
Mehmet Rasim Inceoglu, Darmstadt, Germany:
Hi! i just wanted to thank you. It has been 14 years since i graduated from the high school and i had no serious need for higher maths. not even at the university. well i got a chinese major that is why i did not need maths but now i am up to studying software engineering and thanks to this web site and you i feel more confident in maths.
James Cartlin, Oregon, USA:
Your website is head and shoulders above any other I've seen. It is not only very thorough, but put in such a way that is easy to grasp. I'm actually a mechanical engineer who will be teaching classes at a community college here in the u.s. so I will be refering to this site for ideas on how to relate math concepts and info to students and of course give them the link as well! Masterfully done!
Jackson Bates, Melbourne, Australia:
I would die with out this maths site, don't get rid of it, or i'm probably gonna die!
Shaun Tan, Kuala Lumpur, Malaysia:
The site is great. My friend told me about this website probably over a year ago and I've used it since due to its convenient information. Thanks a lot!
Noemi Capistrano, Hayward, CA, USA:
I LOVE this site. I am a 40-something college student-returnee and this site HELPS me a lot in my Calculus class. You were able to explain succinctly yet fully the difference between finding volumes/areas with respect to x and with respect to y. I totally get it now!
Suhela Ekanayake, Sri Lanka:
This is the best mathematical web site I ever saw. Thank you very much. Keep it up.
Yosef H., New York, NY, USA:
Dear Professor, I cannot thank you enough for this amazing site that you have taken your precious time to create. It is by far the most reliable and legible source of mathematical education that I have found on the internet. Once again, I thank you for your efforts to educate and I wish you the best of luck in continuing your amazing work.
Andre van Niekerk, Wellington, New Zealand:
Eureka, I see the light! Thank you. I am 52 yo and have battled most of my life coming to grips with graphs, as in straight line, parabola etc. Without a shadow of a doubt you have explained something to me that no one else has been able to. Tremendous. Thanks again.
Leslie Maloff, Florida, USA:
Thanks for making clear the arctangent and tan^-1. The material I was using seemed to assume knowledge. This site is very useful and I wish I'd found it earlier. I would recommend Interactive Mathematics to anyone who needs help in Math.
I was in fact refreshing my Trig and Calculus skills in order to take an exam . It's been many years since I've used anything more than basic trigonomic functions as I have been teaching at the middle school level for a number of years. Happy to say I passed the exam. Again, your site is very useful. Thanks again for a wonderfully clear explanation of math.
Adelaida Quesada, Miami, Florida, USA:
I just found your website while developing a college algebra online course. I was amazed by your explanations and tools. I have taken the liberty of listing your website as a resource for those students who need more clarification on some points. I am glad I did not find it sooner; I might have given up trying to explain everything through videos and power points!!! You site is simply awesome!!! I have forwarded your link to some of my colleagues, you have done a wonderful thing!
Sri, Bloomington, Alabama, USA:
This site is really nice. The concepts and variety of problems is really superb.
Ezra Yap, Malaysia:
I am very much liking your math website for providing useful lessons and explanation. You are the best lecturer. =)
Jason Chan, Sydney, Australia:
Hi mate, Like to take the time to give you a big thank you for the time and effort into making this site. Its clear, concise and goes through the material in such a natural, well paced, progressive manner that I've effectively learnt laplace transforms in two days! This site and your efforts have basically helped me through engineering mathematics at UNSW!
I've passed the site onto some school mates and they've basically said the same thing. Thanks heaps!
Deepasenthil, Mumbai, India:
Congrats team... I can just say one thing ...Excellent... You guys are makers of mathematicians...continue your good work. Thank you!
Mengis Teame, Manchester, UK:
Dear Murray, First I would like to thank you for your outstanding interective maths site, I am an undergraduate maths student and this site is the best of all maths websites I've ever searched and I would like to see more of it.
Obviously as i am a university student it doesn't have loads of topics that i am dealling with but ur website has influenced my future career and i am choosing to become a maths teacher for at least college level and i am sure the way you explain mathematical reason and logic couldn't have been better. Keep up the good work.
Nadeem Zuhair, Pakistan:
Thanks to all your team and i congratulate your team who doing all this for us. I really like this site and learn much more by you people.
Shoaib, Manchester, England:
Hi, I am EEE 1st year student. I did foundation year 2 years ago. I was really struggling with revising things a lot especially when i have to look at both my UNI notes and my college books.
But then i found ur website. It's really fantastic especially revising during exam days that helped me to grip concept fastly.
Irene Grossart, Glasgow, UK:
Just found this site...it is so good I forgot to drink my coffee. I will be back!
Danny Von Masoch, WA, USA:
Thank you soooooo much, thanks to this calculator I was able to finish my homework and underdstand it. I filled in my problem and I saw the step by step guide and followed it so that once I did it I could remember how to do it for the rest of my problems :)
Carlos Ruiz de Mendoza, Barcelona, Spain:
Just wanted to say thank you so mucho for having this website. I am a 1st year telecommunications degree student, and I was starting to lose faith until I discovered this site. Finally I do understand all about Fourier Series.
Note Suwanchote, Seattle, WA, USA:
I love your site, absolutely the best I've ever seen and it helps me a lot in understanding the concepts.
Vikas:
Simply Superb!!!!! Great work!
Ramesh Babu, New Delhi, India:
It's exciting for me to see such a wonderful math learning site.
Ross, Bristol, UK:
Thank you for creating this website, it contains the most concise collection of notes I've been able to find so far. Very thorough but they are presented in a manner that isn't daunting, I'd call it "approachable math". Hehe. People deserve to know how useful your website is! Please keep up the good work, you're helping so many people succeed, you should be very proud of yourself.Thank you so much.
Marg Shapiro, USA:
I have found your web-site very interesting and useful. I plan to use it for my math lessons. Thank you!
James Aartsen, Adelaide, SA:
I'm going to study particle physics at university and needed revision of high school maths. This is a fantastic resource, clearly explained and well thought through.
Anat Katz, NY, USA:
Your website is the greatest thing! Playing with math and experiencing it is the way to learn it. I love your little introductions about applications before you start teaching the concepts and as a teacher I value your presentation and the graphs on the trig functions that show the period of a function are funtastic!
I use the Geometers Sketchpad a lot and I show a lot of these things in class, but it does not show the progress - the progress of generating this function is phenomenal! Thank you for having such a great tool out here!
Alejandro Teutli, Mexico City, Mexico:
I am in tercero de preparatoria (10th grade). I just wanted to congratulate you for having one of the top mathematics sites on the Internet. It is especially clear and helpful.
Alexander Politis, Athens, Greece:
Mr. Bourne i would like to thank you for this amazing site which is totally useful for any high school and university student!! THANK YOU!!! Please, keep it up..for me you are one of the best teachers, with many kinds of really detailed and useful straight to the point examples!!!
Preet, New Hyde Park, NY, USA:
Great job, Sir! Your hard work made maths easy for me and I gain more interest day by day. The crystal clea presentations made it very very easy to understand. Hats off to you!
Marcin Lutynski, Delft, The Netherlands:
I just want to let you know that this website is absouletly fantastic!! I did a revision of my math in no time which helped me to solve problems in my research work. As a university teacher I can only say that you did a realy good job!
Heba Ahmed, Illinois, USA:
I would just like to say that this website is fenomenal!!! I am a high school student and the day before my final i found myself blessing who ever created it... THANK YOU SO MUCH!
George Walters, South Carolina, USA:
I have done all this over 40 years ago and I'm trying to revisit my physics. This is an excellent refresher for me. You've made it so easy.
Ebunoluwa Grace, Nigeria: IntMath Newsletter is informative, innovative and highly educational. It's been great being a part of it. I want to use this medium to say "kudos" to the "brains" behind this work. They are really doing a great job and I would love it if I am constantly informed via my e-mail address or through any other media. Thank you and God blesss you all.
Terry Hines, Virginia, USA:
Sir: I really like your IntMath Newsletter and the website. I wish you were around when I was in college. I did pretty well in school but I am sure I would have been an even better student with your material at hand; it's very well written and easily understood. Again, thanks for what you have provided. It is the best math instruction on the Web.
Joaquin, USA:
Outstanding website, very usuful for an instructor or student's parent. Wishing you a lot of success.
Amanda, New Jersey, USA:
amazinngggg!!!!! i love it!
Richard, Canada:
Wow, I just stumbled across this site and am speachless. I don't normally feel the need to comment on things but I find this to be an extremely helpfull site and very well put together.
Tony Tanim, Bangladesh:
It's an excellent site for learning the basic rules of math.
Tunde Lawal, USA:
I want to thank you for the best math site anywhere. I was brushing up on Probability and Calculus required to take Society of Actuaries exams. I am a baby boomer but still able to grasp the concepts easily. Amazing!
Alan Babbitt, USA:
Absolutely outstanding site! I am going back to school after many years in the marketplace and as with many, I need to get back to center with respect to math concepts. The process you have laid out is very deductive and inductive. Consequently, I am finding this relearning process to actually be quite fun in preparation for my placement test. Thank you so much for all of the hard work you have put into this project.
Michelle, USA:
What a wonderful site. I wish we had this type of access when I was in math class 25 years ago. Exceptional!
Santhosh, USA:
You have created a great website for mathematics. You explain concepts in depth and in a simple manner. I am PhD student. Event though I do modeling and simulation work where I use lot of mathematics, I feel that I do not know the math basic well. When I was searching for the Fourier Analysis, google directed me to your website. I am glad I find your website.
I had been searching for the basic mathematics book. Your material makes great book. If you write a book, please inform me. It is hard to read on computer.
Daniel, Australia:
I just wanted to say a huge thank you for the site you've created. It's certainly more of a pleasure to read compared to the annoying mathematical jargon I have put up with in my high school maths textbook, which is usually too convoluted for me to understand.
Linda, USA:
I want to keep my mind active and I am thankful for what I have already found on your site. Thanks so much for the inspiration to learn again.
Phillip, USA:
I just have to say; thank you so much for making a mathematics website that just helps so much. Everything is very clear and very concise, and helps me with Algebra II. My teacher is rather unusual in my opinion, since her method of teaching is more like "lead by example" instead of showing the concept and then applying it to a problem.Thanks again, and I hope you continue to help others like me!
Skylabel, Australia:
What a fantastic site! Better than ANY maths textbook I've ever read. Your method of explanation is comprehensive and accessible, backed up by loads of relevant examples. Especially like the Methods of Integration section. Keep up the good work!
Liban, UK:
The site is the most useful maths site I have encountered. Your work is very inspiring and instructive. You help learners use acquired skills to meet mathematical challenges. Exemplary. I will spread the word about IntMath!
Kelly, USA:
Your site is the best learning site ever!!
Ntoburi, UK:
This site has saved the day! Am a PhD student with no mathematical background (actually did any maths 10 years ago) and sitting for 4 weeks in a statistical inference class was torture until i read through the simple self explanatory maths on this site! Keep it up! The examples are very good.
Wayne, USA:
This site is the best thing that has happened in my life.
Haroon, Pakistan:
I must commend you on developing and maintaining such an amazing and unique website. I am a Pakistani and did my engineering from Pakistan. I could never really clearly "see" mathematics, due to which my engineering suffered.
Thanks to your website, I got a good, clear overview which has not only enabled me to clarify a lot of things that have bugged me, but also allowed me to appreciate and enjoy my old calculus books that I have started going through again.
Lezann, UK:
I stumbled across this site while trying to fathom out some economics equations. I have never seen maths so easily presented and accessible. It's a joy to use and at last I have some understanding!
Ruth, Ghana:
I like your site very much. I am offering Quantitative methods as a course this semester and i found some very useful information at your site. It is very simple and easy to understand and i commend you on that.
Kelly, USA:
Your website is presently saving my butt. I earned my first college degree 5 years ago and am going back to school for a second degree. My new pursuit requires that I take a general physics course--after not having a math class in a decade, and after never having Trig at all.
I have been rather lost in class, as I didn't even remember the rules of exponents, let alone know what the heck a cosine was. However, I am a smart cookie, graduated Summa Cum Laude the first time around, so I knew if I could find a good "tutor" I would catch onto the math. You, sir, are that tutor.
I just wanted to say thank you for simple, straightforward, and SHORT crash courses.
Justin, USA:
Just wanted to say THANK YOU. This site showed me a way that was easier to understand than the way my college prof. presents the concepts to me!!!!
Cristal, Trinidad:
This site was GREAT! i was ABOUT to give up on learning differentiation, because all the other sites were SO hard, and i actualy get it now!!! i understand it :) thanx alot!!!
Sephie, UK:
Congratulations on creating a beautiful site with a clarity of instruction rarely found elsewhere. Must say I agree with all the testimonials, and would like to add my own.
I'm on a smallish island off Europe home-educating my daughter. We're pretty isolated here and have to rely on books and the internet to get her through maths (and this year, further maths AS and A2 exams).
As you'll know, having knowledge about a subject doesn't automatically make one a good teacher, so to find someone like you who is both gifted and willing to share what he knows on the net provides help for my daughter in a very tangible way.
As we're poor as church mice it means a great deal, and we will be relying on your site to help my daughter through the next two years. It's simply the best we've encountered in many years of searching.
She hopes to study maths at university. If she succeeds she will be able to escape the poverty trap she was born into.
So I just wanted to let you know that your generosity in creating such a unique site will actually help to change someone's life.
I also hope that your considerable talents as a teacher are fully recognised in your present occupation.
Miles, New Zealand:
Amazing, someone who gets it! Thank you very much, good sir. Your explanation is perfect, as I am a very visual learner... I was brushing up on my math, as I am returning to study next year. So, thank you very much for being a wonderful teacher!
Joshua, England:
Just wanted to say your site is excellent. I've understood more about differential equations here than I did in an entire semester at university and I now feel like I stand a chance of passing the module and am motivated once more to work. Instead of bogging your explanations down with technical jargon you lay out a clear concise method with thorough answers to all exmamples on a clean and attractive site. Honestly can't give you enough praise - thank you!
Zeep, USA:
Thanks for this site. I was having a ton of trouble with Laplace transforms and it's tremendously helpful to have examples with explanations. Now I can do my homework without a bottle of aspirin.
Catherine, Virginia, USA:
My God... thank you so much. Quite honestly, spending 10 minutes looking at your site, I feel I understand more about algebra than I ever did in my High school math courses. When I took my SAT in 2004, I scored a 640 verbal and a 480 math... quite clearly unbalanced. I just never "got" it. I want to thank you... hopefully I at least won't feel lost or completely hopeless when presented with a mathematical equation.
Amanda, Austin, TX, USA:
Hi, I am a freshman at University of Texas-Austin and I just wanted to let you know that this site is AMAZING. You really broke trig down for me, and I have a final tomorrow, I feel so much more confident! Thank you so much! You have no idea how much you helped! :)
Dion, Australia:
This site is awesome. I should have stayed at home and learnt from this site rather than going to lectures. Thank you!
Oliver, New Zealand:
I was battling for hours to try and teach myself how to do step functions from my textbook, with no success. After reading the explanation on here I learned how to do them within 15 minutes, thanks!
Laura, USA:
I love your site... it is the best thing that I have found on the Web...it brings the problems and solutions alive and it gets me to shift my paradigm easily...thank you so much, you're the best! I mean it!
Rechad, Mauritius:
You've done a great job with the IntMath site. Congratulations and thanks on behalf of all those students, teachers, parents and others who love IntMath! (Btw, I am an IT teacher, but also a "math student" hoping to catch up on my math with your fantastic site. I also encourage my math colleagues to check your site.)
G. Connolly, UK:
Working with computers I am keenly aware of the power of maths. I think I have learned more about algebra in a hour on this site than a whole year as a school kid. I cannot understate the importance of explaining EVERYTHING as you go along; it really helps to understand WHY something can be done rather than just accept it because someone tells you to. In short, well done and thanks. Keep up the good work!
Sue, Mashpee, MA, USA:
Loving your site! I am using it to help me study for the Massachussetts Teacher's licensure Math test. The study guide I bought is full of errors. Your website is not full of errors. You website has been helping me remember math from my college days 20 years ago! Incredible job you have done!
Given, Capetown, South Africa:
Your website is really helping me. I wish I was one of your students! Continue with the good work that you're doing. GOD BLESS YOU
Heather, North Carolina, USA:
It's encourging to use a resource that promotes understanding how you arrive at an answer as being as important as the answer itself.
William, UK:
You have helped me enormously with calculus. Thank you intmath! This is possibly the most useful maths website I have come across.
Jade, USA:
I haven't had a math class in four years, since high school, and i am having to jump in head first into trig. After finding this site, i not only understand trig, but i am actually excited about going to class and taking my tests, just to see how much this site has actually helped improve my understanding of it! Thank you so much, this site is absolutely wonderful and I WILL tell others about it!
MERLOT, USA:
This is a well-designed, mathematically accurate, technologically dependable demonstration/tutorial site that should be useful as a complement to traditional courses in college algebra, pre-calculus, and first-year calculus.
Bafana, Johannesburg, South Africa:
You have made me one of the best students in Mathematics, even now I'm able to help my friends. Keep it up!
Aaron, USA:
Wow! This amazing site helped me more than any other math site on the web! I appreciate all your hard work in making this site! Thanks a million!
Edward, Singapore:
thanks for this great site u have made.. i am a secondary a-maths student who's taking o level this year, from ur explanation on this site i have not only learnt how to do qns but also started to understand. i hope this site will remain here for as long as possible to provide help for those intrested or weak in maths :)
Ricardo, USA:
The IntMath web site is amazing!! It really puts the things I'm learning in class into perspective!
Liliana, Mexico:
Wow, this site is wonderful, so professional, and the explanations are so clear, the applications of mathematical concepts to real life are so interesting for the students!! Thanks so much for creating such a great website!!
Dennis, Philippines:
This is the best math website I have ever seen. Your site offers a lot of knowledge in mathematics. It serves as a compilation of topics from algebra to higher ones. Thanks for the creator/author of this site.
Michael, USA:
I love the richness of the information and simplicity it's presented in! This is exactly what I've been looking for. My teacher takes ages to cover a subject like Matrices...here I did it in a day...WOW.
Lawrence, Paris, France:
This is an excellent site for learning and teaching mathematics. So far the best I have come across--and i have been searching a long time. I especially like the fact that you make it freely available even for students in developing countries. Keep up the good work, and God Bless You!
Shenton, Canada:
Please don't reduce the image sizes. I've just discovered your site and like it very much because everything is big and full of pictures. I choose your site to learn from instead of the other sites that I found on the internet because it easy to read and understand. Thanks for making math fun to learn.
Michael, Ireland:
Your mathematics site is absolutely brilliant and so easy to navigate through your "sitemap". Hidden answers are excellent and LiveMath makes the site so dynamic also the aside information is super. It took a lot of effort to produce what you have achieved and I hope you have a good sponsor to compensate you for same so thanks very much for enjoyable maths.
Minty, USA:
OMG thank you thank you thank you thank you thank you! I can t thank you enough. hehe! I was stuck on this problem for about 6 days and it was due tomorrow, and i was throwing approximately 5 fits, before i found this website. THANK YOU SOO0o MUCH! YOU JUST SAVED MY LIFE!!!! hehe! ^_^
Martin, UK:
I am a student studying engineering in the UK, and have found your site very useful when it comes to my maths course.
Farhan, USA:
Your site is very good and the material provided can be easily learnt.
Wariner, Cape Town, South Africa:
Your site was the best resource I have yet come across for maths. The examples are comprehensive and well explained. I used your site mainly for LaPlace transforms. It really helped so much, I cannot even begin to describe.
Samuel, UK:
This gives a much clearer and practical understanding of math
Sanjay, Fiji Islands:
This is a very excellent website. I really like the material covered and also LiveMath examples. Wished this was available to me years ago. Congratulations on the sucess of putting it all in a nutshell. Thanks and good luck.
Anmol, UK:
Congratulations on making a BRILLIANT site!! I appreciate your commitment very much. Detailed information is presented in a readable way.
Sandipan, India:
Your site is great work. I do believe that it will help many people who are pursuing courses in distance learning mode. During my physics days (University of Calcutta) many things were not clear to me. It was due to lack of visualization of some mathematical results. Now I've got a clear picture after going through your site, 6 years later. Thanks for giving me some good brain food!
Dioscoro, USA:
I find your site excellent! I am teaching math. Thanks a lot and more power.
Clarence, Belize (Central America):
I am a student at the university of belize studying math education... i am happy to use your interactive mathematics... great website
Avinash, India:
I was looking for examples and problems in Laplace Transformation. This site is amazing. It cleared all my doubts. All the problems have been explained in very good manner. I am indebted to you. The contents are presented much lucid way. This site is a boon. Thank You
Melody, USA:
This is one of the most helpful math sites on the web. Thank you so much and keep up the good work!
Georg Schoen, Germany:
Thank you so much. Your simple introduction to the formula for the quotient-rule is much, much clearer than my textbook. I liked the helpful admonitions, too.
James Lim, Malaysia:
Hi, there's only one word I can give you: Excellent! You know, it's hard to get someone like u to teach in a basic way from the basic principle. Enjoy your "why learn..." before you start a lesson on it. Moreover I appreciate your maths proving which I can understand. Continue your great work k:)
Christine, Australia:
Thank you for your excellent section on negative numbers. My daughter does distance education math. Your terrific example of "the temperature change over the previous 7 hours" helped her understand multiplication of integers. She's just one of those kids who says "How can you expect me to do it if I don't understand it?" Thanks again.
Tom, New Zealand:
I appreciate the efforts that you have made to teach maths to other humans over the internet. Using Livemath is pretty cool too - helps a lot to be able to fiddle with stuff. Thanks again for a nice site.
Zander, Australia:
This site is superb. It clearly identifies the problems students have with maths and through a step by step guide, outlines the right methods and procedures needed in answering the questions. Thank you Interactive Maths!
Ashutosh, India:
Intmath.com is excellent math tutorial.
Daetan, StumbleUpon.com:
Awesome explanation of math concepts
Isaac, USA:
Thanks for the good site. It is very educative.
Joel, Singapore:
Your new site is awesome. It's a whole new feel. Attractive and easier to navigate too.
Eudoxio, Mexico:
OK, amigo, this is the best math place I have found in Web. It's easy to understand, clear and fun. I'm not student but I like maths and this is great. It's a good job. Felicitaciones¡¡¡¡¡ | 677.169 | 1 |
Math Word Problems Demystified by Allan Bluman
Word problems are the most difficult part of any math course –- and the most important to both the SATs and other standardized tests. This book teaches proven methods for analyzing and solving any type of math word problem.
Author InformationAllan G. Bluman taught mathematics and statistics at high school, college, and graduate school levels for 39 years. He is the recipient of "An Apple for the Teacher Award" for bringing excellence to the learning environment and the "Most Successful Revision of a Textbook" award from McGraw-Hill. | 677.169 | 1 |
Calculus for Beginners and Artists is an online textbook that provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician. Thank you MIT OpenCourseWare for awesome, free resources and classes!!!
This site is SO incredibly helpful!! They have awesome teachers who will make understanding even the most complex concepts in Chemistry, Precalculus, Calculus and beyond extremely easy. I am so happy I found it! Also check out their Youtube channel!
Domain and Range Worksheets
Domain and range are ALWAYS on standardized tests and it seems like they are ALWAYS neglected by the textbook manufacturer's. This pack of 2 worksheets contains graphs that students must analyze and determine the domain, range, maximum, and minimum. Graphs include linear, curves, and graphs where the max and min are NOT the endpoints of the graphs (these always seems to give students trouble). | 677.169 | 1 |
AN EXPERIMENTAL COURSE IN MATHEMATICS FOR THE NINTH YEAR. UNITS 8 AND 9, POLYNOMIAL EXPRESSIONS AND POLYNOMIAL EQUATIONS.
New York State Education Dept., Albany.
THIS TEACHING GUIDE IS THE THIRD OF FIVE EXPERIMENTAL EDITIONS CONCERNING MATERIALS AND METHODS FOR TEACHING A REVISED MATHEMATICS PROGRAM IN GRADE 8. BACKGROUND MATERIAL FOR TEACHERS AS WELL AS QUESTIONS AND ACTIVITIES FOR CLASSROOM PRESENTATIONS ARE PROVIDED IN THE CONTENT AREAS OF POLYNOMIAL EXPRESSIONS (UNIT 8) AND POLYNOMIAL EQUATIONS (UNIT 9). UNIT 8 CONTAINS SECTIONS ON ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION OF POLYNOMIAL EXPRESSIONS, AND FACTORING POLYNOMIAL EXPRESSIONS. UNIT 9 INCLUDES SECTIONS ON SOLUTION BY FACTORING, SOLUTION BY COMPLETING THE SQUARE, SOLUTION BY QUADRATIC FORMULA, GRAPHING QUADRATIC EQUATIONS, AND SIMPLE PROOFS. (RP) | 677.169 | 1 |
District Syllabus MAC1114
Plane Trigonometry
This is a basic course designed to prepare the student for more
advanced mathematics. The course treats both circular and
trigonometric functions. Topics covered include fundamental
concepts, identities, graphs of the functions, the inverse functions
and their graphs, application to right and oblique triangles,
trigonometric equations, vectors, and complex numbers. Meets A.A.
general education
Category III.
Additional materials may be assigned by the instructor to supplement the required materials. -->
Special Requirements:
Distance Learning/Hybrid Course statement:
There is a $24.99 Lab Fee for Distance Learning courses and NO Lab
Fee for Hybrid courses.
Distance Learning and Hybrid Sections require a MyMathLab access
code. Use of MyMathLab in face-to-face sections is at the discretion
of the instructor. Contact your instructor to determine if MyMathLab
is required. For sections NOT requiring MyMathLab the textbook
listed is required. | 677.169 | 1 |
Does it matter? You're gonna be taught it anyway. If you want to learn early then look for stuff on YouTube about those topics.
(Original post by OGFakiie)
Noo it's not that it's difficult to understand, it's just that the book hardly has any text explaining the topics. 95% is just questions and even they are way too easy and repetitive.
AQA did just fine for me. You'll live. As I said before, just go on the internet to learn the topics if you want.
Those books are fine. They explain the concept behind each technique then question you on it. You are then supposed to be going to past papers to learn the nuance of exam questions, then you can go to other examboards questions to get a well rounded view of the topics.
(Original post by OGFakiie)
Well we just did the exponential function & natural log topics and the explanations were rubbish, there were lots of unnecessary facts like how old the mathematician Euler was... etc.
Then just don't read the facts...? It's always better to have a textbook with too much info than one which misses out half the stuff.
Also, if you don't like how the explanations are worded just go online and watch some videos or read some other people's revision notes (eg. examsolutions videos or notes on physics&maths tutor) | 677.169 | 1 |
Quadratics Made Easy
There're always one or two students in a middle school math class who just can't quite grasp how to handle linear equations or quadratics. For them, Cerebellum's Teaching Systems Algebra series might be the ticket to math proficiency. The DVDs cover everything from foundations of algebra to polynomials and factoring, and provides a full review of the subject. There are step by step problems and explanations. Created to meet state educational standards and goals, the 7 discs of the Algebra series include Foundations of Algebra, Functions, Algebra Mechanics, Linear Equations, Linear Inequalities, Polynomials & Factoring and Quadratic Equations. They'll be available next month and cost $50 for each.
TrackBack URL for this entry: | 677.169 | 1 |
Most Discussed
Soulv provides math sheet-like format for calculation
updated 12:20 pm EDT, Mon May 23, 2005
by MacNN Staff
Soulv math app
World of Worlds Software today announced the release of "" a new kind of application that promises to do for mathematics "what word processors did for writing." World of Worlds CEO, Zac Cohan said, "We found it strange that despite having very powerful computers, most people still use pocket and scientific calculators to do most of their math." The developer expects Soulv to replace physical calculators for its users. Soulv features an engine that mirrors a physical math sheet, calculating on the fly as you type, with a built in Equation Solver, MathKey typing technology, and 1-click graphing. "It truly is the new way to do math on your computer." Soulv is available today for a 30-day trial, and costs just $40 to buy | 677.169 | 1 |
What is your goal when doing DEs? If it's just being able to look at a DE and say "oh this fits this category therefore to solve it I need to use ..." then you should REA Problem Solvers - Differential Equations. It does pretty much just that. Each chapter addresses a certain form of a DE in theoretical terms (about 2-3 pages) and how to solve it (by doing 30 pages of problems with detailed solutions). They also have a little chapter about PDEs and other random topics. It's fairly cheap. | 677.169 | 1 |
Omtale:
Basic Mathematics for Chemists
Basic Mathematics for Chemists aims to teach the maths that chemists need to know through the use of applications, data, examples and problems all drawn from chemistry. The author demystifies the maths, and shows how, where and why it is used in chemistry. The text assumes little prior knowledge of maths and starts from basic mathematical principles, including understanding equations, notation, basic functions and their priorities. It then covers more specialised functions such as logarithms and trigonometric functions before presenting chapters on calculus. In this edition, there is a new chapter on vectors and matrices. FEATURES Written by a chemist for chemists .Many examples, problems and applications. Gentle introduction to the maths chemists needs to know New chapter on vectors and matrices.
Fully worked examples and problems provided within each chapter CONTENTS: Preface; Equations, Functions and Graphs; Special Functions; Practical Statistics; Differential Calculus; Integral Calculus; Differential Equations; Statistics for Theoretical Chemistry; Complex Numbers, Vectors, Determinants and Matrices; Appendix 1: The Greek Alphabet; Appendix 2: Numerical Answers to Problems. | 677.169 | 1 |
This product is a good review of "evaluating LOGARITHMIC functions" at a given "numerical" input where the base is a rational number (integer or a rational number in one case). The answer is a rational number (including fractions) as students are expected to know these logarithms without the need to use a calculator or even change the base. There are 15 logarithmic functions provided. From start to end, the student will be able to answer 14A STEP-BY-STEP ANSWER KEY is provided and could be used with a sub while outThank You☺ for visiting my ☺Never Give Up On Math☺ store!!! | 677.169 | 1 |
An intuitive approach to teaching algebraic properties
Word Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.19 MB | 28 pages
PRODUCT DESCRIPTION
Teaching common core math is simply using common sense. In these lessons centered on basic algebraic properties, I present a common sense approach to enhancing students' true understanding. "Real world examples" are included as well as numerous higher order questions and activities. These teaching ideas are very student centered, developed to engage students. Acquiring true grasp of algebraic propertiesa by Julie Schilawski | 677.169 | 1 |
The
You'll be able to learn more in less time, evaluate your areas of strength and weakness and reinforce your knowledge and confidence.
"synopsis" may belong to another edition of this title.
From the Publisher:
Presents just enough information and examples to help even the most challenged students avoid confusion
Packed with examples, graphs, questions and answers, to help readers along
Perfect resource for preparing for the CLEP (College Level Examination Program) College Algebra test, or other college placement exams
Written by the same author as Algebra Demystified, our most successful Demystified title to date
From the Back Cover:
A BETTER WAY TO COLLEGE ALGEBRA X-PERTISE
One of the most valuable tools acquired in a university education, college algebra is essential for courses from the sciences to computing, engineering to mathematics. It can help you do better on placement exams, even before college, and it's useful in solving the computations of daily life. Now anyone with an interest in college algebra can master it. In College Algebra Demystified, entertaining author and experienced teacher Rhonda Huettenmueller breaks college algebra down into manageable bites with practical examples, real data, and a new approach that banishes algebra's mystery.
With College Algebra Demystified, you master the subject one simple step at a time'at your own speed. Unlike most books on college algebra, general concepts are presented first'and the details follow. In order to make the process as clear and simple as possible, long computations are presented in a logical, layered progression with just one execution per step.
This fast and entertaining self-teaching course will help you:
- Perform better on placement exams
- Avoid confusion with detailed examples and solutions that help you every step of the way
Book Description Paperback. Book Condition: New. Our Ranking is Your Confidence! Fast Shipping - Safe and Secure Mailer - Our goal is to deliver a better item than what you are hoping for! If not we will make it right! This item is unread with a few shelving bumps. Bookseller Inventory # 1XGDJP0019PD
Book Description McGraw-Hill Professional, 2004. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Say goodbye to dry presentations, grueling formulas, and abstract theories that would put Einstein to sleep -- now there's an easier way to master the disciplines you really need to know. McGraw-Hill'sDemystified Seriesteaches complex subjects in a unique, easy-to-absorb manner, and is perfect for users without formal training or unlimited time. They're also the most time-efficient, interestingly written "brush-ups" you can find. Organized as self-teaching guides, they come complete with key points, background information, questions at the end of each chapter, and even final exams. You'll be able to learn more in less time, evaluate your areas of strength and weakness and reinforce your knowledge and confidence. The. Bookseller Inventory # ABE_book_new_0071439285
Book Description 2004. Paperback. Book Condition: New. 1st. 198mm x 23mm x 223mm. Paperback. A BETTER WAY TO COLLEGE ALGEBRA X-PERTISEOne of the most valuable tools acquired in a university education, college algebra is essential for courses from the sciences to compu.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 446 pages. 0.644. Bookseller Inventory # 9780071439282 | 677.169 | 1 |
numeration; operations; geometry and measurement; and algebraic concepts, graphs, probability, and statistics. (FL) | 677.169 | 1 |
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.95 MB | 13 pages
PRODUCT DESCRIPTION
This e-book describes what vectors are and how to add, subtract and multiply them by scalars.. The article provides a summary of the elementary ideas about vectors usually met in high school mathematics. The follow-up article 'Multiplication of Vectors' discusses scalar products and vector products. Vectors are an absolutely essential 'tool' in physics and a very important part of mathematics. Vectors are important in navigation where the actual velocity of an aeroplane relative to the earth is given by the combined velocities of the wind.
In this e-book, we will answer the following questions:
1. What is a vector?
2. What is a column vector?
3. What is the magnitude of a vector?
4. What are equal vectors?
5. What are parallel vectors?
6. What are unit vectors?
7. What are vectors in 2-D space?
8. What are vectors in 3-D space?
9. The algebra of vectors | 677.169 | 1 |
About
OverviewFeatures and Benefits
Mathematically accurate, yet accessible and readable, with geometric motivation or interpretation where appropriate.
Emphasis on graphical and numerical aspects, as well as the analytical aspects of calculus.
The concepts presented in an honest but accessible manner, because students need to be able to grasp both the concepts and the applications.
What's New
More exercises requiring written responses, and more numerical examples and exercises are included; also the tables of integrals were eliminated. Each of these features is a result of the present-day teaching techniques, in which students are asked to contemplate the concepts more, and use technology where applicable.
A greater focus on the fundamental limits that give rise to derivatives was included in Chapter 2, Limits and Continuity.
In the motivation of the notion of integral, (Chapter 5) the text not only uses area but also the problem of calculating distance from velocity. The integral is also defined by means of Riemann sums (rather than by lower and upper sums).
The chapter on applications of the integral (Chapter 6) now appears before the chapter on techniques of integration (Chapter 8). This change reflects the general availability of software packages such as Mathematica, MATLB, Maple, and Derive that perform symbolic integration.
In response to requests of many physicists, there is a brief introduction to complex numbers in a project within Chapter 10, Curves in the Plane.
As requested by previous uses of the text, a new section on parametrized surfaces (Sections 14.9 and 15.5) has been included in the several variable portion of the bookMeet the Author
Author Bio
Robert EllisDenny Gulick | 677.169 | 1 |
This book introduces the step-by-step process, and helps guide students in applying it to sample problems, providing examples ranging from simple addition to fractions, decimals, ratio, rate, and percent. | 677.169 | 1 |
ISBN 9788131520741
ISBN-10
8131520749
Binding
Paperback
Edition
8th
Number of Pages
652 Pages
Language
(English)
Subject
Algebra
Contemporary Abstract Algebra Is A Comprehensive Book On Mathematics For Students Preparing For Engineering Entrance Examinations. The Book Comprises Of Chapters On Integers And Equivalence Relations, Groups, Group Homomorphisms, Rings, Fields, Spatial Topics, An Introduction To Galois Theory, And Cyclotomic Extensions. In Addition, The Book Consists Of Numerous Tables, Illustrations, Charts, Biographies And Exercises For Thorough Practice And Revision. This Book Is Essential For Undergraduate Students Of Mathematics And Engineering.
About Joseph Gallian
Dr. Joseph Gallian Completed His Phd From Notre Dame. He Has Many Years Of Experience In Teaching And Has Several Awards And Recognition To His Name. He Has Also Served As The Vice President And President Of The Maa. He Has Authored Books Like Principles And Practice Of Mathematics: Comap (Textbooks In Mathematical Sciences) And Student Solutions Manual For Contemporary Abstract Algebra. | 677.169 | 1 |
MATH 145 Advice
MATH 145 Documents
Showing 1 to 29 of 29
MATH 145 Final Exam, Fall 2006
[8]
1. Hugo, a photographer, sells small pictures for $22 and large pictures for $34. Yesterday his total
sales were $844. If he sold more small pictures than large pictures, how many pictures of each
size did he sell yester
1. BASIC PROPERTIES OF RINGS
1
Chapter 1
Basic Properties Of Rings
Definition 1.1. A ring R is a set with two binary operations, + and , satisfying:
ring
(1) (R, +) is an abelian group,
(2) R is closed under multiplication, and (ab)c = a(bc) for all a, b,
4
subfield
F (1 , . . . , n )
1. BASIC PROPERTIES OF RINGS
Definition 1.13. A subset S of a field F is a subfield if S is a field with the same
addition and multiplication.
To check that S is a subfield, it is enough to check that for any a, b S, a + b, a
MATH 145 Algebra, Lecture Notes
by Stephen New
Chapter 0: Logic and Proof
1. Introduction
1.1 Remark: A little over 100 years ago, it was found that some mathematical proofs
contained paradoxes, and these paradoxes could be used to prove statements that w
MATH 145 Algebra, The Euclidean Algorithm with Back Substitution
Theorem: (The Euclidean Algorithm With Back-Substitution) Let a and b be integers
and let d = gcd(a, b). Then there exist integers s and t such that as + bt = d. The proof
provides explicit
MATH 145 Algebra, Assignment 2
Due: Fri Sept 25(b) B = x S if x is even then x is a multiple of 3
(c) C =
MATH 145 Algebra, Assignment 4
Not to hand in
In this assignment, a is a constant symbol; x, y and z are variable symbols; f , g and h are
function symbols with f unary and g and h binary; and r is a binary relation symbol.
1: Consider the interpretation
MATH 145 Algebra, Assignment 5
Due Fri Oct 30
1: The axioms for a ring and for an ordered eld can be found on the following page.
(a) Let F be an ordered eld. Using only the 14 axioms which dene an ordered eld,
show that for all a, b, c F , if 0 a and b c
1. BASIC PROPERTIES OF RINGS
3
Notation. If R is an integral domain (or any ring), then R[x] denotes the set of
polynomials in x with coefficients from R with usual addition and multiplication.
Clearly R[x] is a commutative ring.
R[x]
Proposition 1.9. If
MATH 145 Algebra, Solutions to Assignment 2Solution: We have
A = x S x is even x S x is a multiple
MATH 145 Algebra, Solutions to Assignment 5
1: The axioms for a ring and for an ordered field can be found on the following page.
(a) Let F be an ordered field. Using only the 14 axioms which define an ordered field, show that for all
a, b, c F , if 0 a a
MATH 145 Algebra, Solutions to Assignment 4
In this assignment, a is a constant symbol; x, y and z are variable symbols; f , g and h are function symbols
with f unary and g and h binary; and r is a binary relation symbol.
1: Consider the interpretation wh | 677.169 | 1 |
Quick and Easy Access to Key Elements of Documentation. Includes worked examples across a wide variety of applications, tasks, and graphics. Using R for Data Management, Statistical Analysis, and Graphics presents an easy way to learn how to perform an analytical task in R…
This book is a complete introduction to vector analysis, especially within the context of computer graphics. The author shows why vectors are useful and how it is possible to develop analytical skills in manipulating vector algebra | 677.169 | 1 |
Circuit Training - Related Rates (calculus)
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.04 MB | 4 pages
PRODUCT DESCRIPTION
Give your students engaging practice with the circuit format! This 12-question circuit contains all of the traditional related rates problems -- ladder sliding down a wall, growing conical salt pile, deflating balloon, plus a few extras such as a profit function and Charlie Brown flying a kite. To advance in the circuit, students must hunt for their answer and then that becomes the next problem.
There is no trig on this circuit so it could definitely be used in a college business calculus class. The circuit is, however, calculator active to keep the answers similar enough that the students must really work out the problems.
There is no answer key included with the circuit since the answers are embedded in the circuit. The only prep the teacher needs to do is work the circuit ahead of the students to understand the unfolding of the concept. Could be used for anything from guided notes to homework to test/quiz review.
My colleagues and I thoroughly check the circuits before we use them with our students, but if you ever find a mistake in a circuit | 677.169 | 1 |
Product Media
Product DescriptionGet your student ready for college-level math with Monarch Trigonometry. A prep course designed for advanced math courses, this computer-based course will cover trigonometry in clear, step-by-step lessons. Meant for students who have passed Algebra II, topics taught include like-right angle trigonometry, trigonometric identities, graphing, the laws of sines and cosines, and polar coordinates through video clips, learning games, and engaging animation. Quizzes and tests are included for progress assessment. Easy for both parents and students to use, Monarch features automatic grading and lesson planning, a built-in calendar, and message center! Algebra II is a prerequisite. 5 Units with Review and Final Exam.
This is a single-semester course. 5 units. Grades 9-12 | 677.169 | 1 |
Conference Proceedings Detail Page
Students' Understanding of the Concepts of Vector Components and Vector Products
written by
Genaro Zavala and
Pablo Barniol
In this article we investigate students' understanding of: 1) vector components and, 2) vector products. We administered a test to 409 students completing introductory physics courses at a private Mexican university. In the first part, based on the work of Van Deventer [1], we analyze the understanding of components of a vector. We used multiple-choice questions asking for students' reasoning to elaborate on the misconceptions and difficulties of graphical representation of the x- and y-components of a vector. In the rest of this work, we analyze the understanding of the dot and cross products. We designed opened-ended questions to investigate the difficulties on the calculation and the misconceptions in the interpretation of these two products.
Physics Education Research Conference 2010
Part of the PER Conference series
Portland, Oregon:
July 21-22, 2010
Volume 1289, Pages 341-344
Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications. | 677.169 | 1 |
Summary and Info
The Geometry Guide illustrates every geometric principle, formula, and problem type tested on the GMAT. Understand and master the intricacies of shapes, planes, lines, angles, and objects.Each chapter builds comprehensive content understanding by providing rules, strategies and in-depth examples of how the GMAT tests a given topic and how you can respond accurately and quickly. The Guide contains a total of 83 'In-Action' problems of increasing difficulty with detailed answer explanations. The content of the book is aligned to the latest Official Guides from GMAC (12th edition). Special Features: Purchase of this book includes one year of access to Manhattan GMAT's online Geometry Question Bank (accessible by inputting a unique code in the back of each book).
More About the Author
Manhattan GMAT (MGPrep, Inc.) is an American educational preparation company. The company was founded in 2000 in New York City by Zeke Vanderhoek, founder of the TEP charter school and a former New York public junior-high school teacher. | 677.169 | 1 |
Linear Algebra
3rd ed. 1987. Corr. 11th printing 2004
Linear Algebra by Serge Lang
Book Description
This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. Material in this new edition has been rewritten and reorganized and new exercises have been added.
Suitable for high school or college students, this title provides a foundation in basic principles of mathematics and thereby acts as a springboard into calculus and linear algebra. It develops concepts in such a manner to show how one subject matter can relate and evolve into | 677.169 | 1 |
Wow, Mathwonk seems to be really pleased with Courant. So much so that I'm contemplating picking up the two volumes. I've found Stewart's book to be a breeze for the most part(self-teaching). Perhaps I should look into something more detailed and rigorous?
What is it about Courant's book that impresses you most, if you don't mind my asking? Is it the rigor? The depth? I'd be really interested in knowing.
What is it about Courant's book that impresses you most, if you don't mind my asking? Is it the rigor? The depth? I'd be really interested in knowing.
Courant is amazing. I promise you that you can find anything related to calculus (be it application or theory) in that text.
I just simply love his approach. He doesn't use the usually dry defintion-theorem-corollary approach, but instead he actually motivates everything and gives proofs that feel so intuitive you can't help but feel they're actually informal. Sometimes the more technical proofs (along with other interesting examples, applications, etc.) are left in the appendices so as to not hinder your first attempt at understanding the material. Plus the exercises are just fantastic! You can find a lot of difficult problems in there (even ones that appear in Spivak).
I actually picked up the first volume after mathwonk recommended it. At first I didn't like it all that much, but now it's grown on me. Personally I recommend the "Courant & John" version as opposed to the vanilla "Courant" one. I don't know why, but I liked the structure of the former more. | 677.169 | 1 |
Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.
Modern geometry with applications
This is an introduction to the theory and applications of modern geometry. It differs from other books in its field in its emphasis on applications and its discussion of Special Relativity as a major example of a non-Euclidean geometry. Besides Special Relativity, it covers two other important areas of non-Euclidean geometry: spherical geometry (used in navigation and astronomy) and projective geometry (used in art). In addition, it reviews many useful topics from Euclidean geometry, emphasizing transformations, and includes a chapter on conics and planetary orbits. Applications are stressed throughout the book. Every topic is motivated by an application and many additional applications are given in the exercises. The book would be an excellent introduction to higher geometry for those students, especially prospective mathematics teachers, who need to know how geometry is used in addition to its formal theory.Read more...
Abstract:
Presents an introduction to the theory and applications of modern geometry. Besides Special Relativity, this book covers two other areas of non-Euclidean geometry: spherical geometry (used in navigation and astronomy) and projective geometry (used in art). It also reviews many topics from Euclidean geometry, emphasizing transformations.Read more... | 677.169 | 1 |
grade you want in algebra with Gustafson and Frisk's INTERMEDIATE ALGEBRA! Written with you in mind, the authors provide clear, no-nonsense explanations that will help you learn difficult concepts with ease. Prepare for exams with numerous resources located online and throughout the text such as online tutoring, Chapter Summaries, Self-Checks, Getting Ready exercises, and Vocabulary and Concept problems. Use this text, and you'll learn solid mathematical skills that will help you both in future mathematical courses and in real life! | 677.169 | 1 |
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Microsoft Math 3.0 Trial
According to an independent survey conducted by Microsoft, 77 percent of teachers and 73 percent of parents claim math and science are the most difficult homework subjects for students. To help with this problem, Microsoft developed a new resource. Introducing Microsoft Math! With Microsoft Math, students learn how to solve equations step-by-step while gaining a […]
According to an independent survey conducted by Microsoft, 77 percent of teachers and 73 percent of parents claim math and science are the most difficult homework subjects for students. To help with this problem, Microsoft developed a new resource.
Introducing Microsoft Math!
With Microsoft Math, students learn how to solve equations step-by-step while gaining a better understanding of fundamental math and science concepts.
Microsoft Math has these great features:
The Graphing Calculator, with extensive graphing and equation-solving capabilities.
Step-by-Step Math Solutions that guide students through problems in subjects from pre-algebra to calculus.
The Formulas and Equations Library, with more than 100 common math equations and formulas to help students identify and easily apply the right equation.
The Triangle Solver, a graphing tool that students can use to explore triangles, and understand the relationship between different components to solve sides, angles, values and formulas | 677.169 | 1 |
Información importante
Mathematics is at the heart of financial techniques, but many finance texts and courses assume a lot of prior knowledge. This programme bridges the gap between mathematical theory and financial practice by providing a practical and visual approach to the most useful theories and methods. Calculations will be fully explained, and Excel spreadsheets will be used as a supporting resource to provide further examples.
Información importante
¿Qué objetivos tiene esta formación?
¿Esta formación es para mí?
Anyone who needs to develop their understanding and use of mathematics in a financial context.
Requisitos: The maths that you knew at school and some basic familiarity with Excel.
Instalaciones
Dónde se imparte y en qué fechas
Inicio
Ubicación
A definir
Hong Kong Hong Kong, Hong Kong
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30 mayo 2017
London 34 Curlew Street, se12nd, London, Inglaterra
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A definir
New York New York, Estados Unidos
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¿Qué aprendes en este curso?
Excel
Forecasting
Returns
Calculus
Algebra
Maths
Finance
Financial
Financial Training
MS Excel
Probability
Numerical Methods
Mathematics
Maths Refresher
Polynomial functions
Differentials
Financial techniques
Programa académico
Day One
Numbers, Algebra and Functions
Linear, quadratic and other polynomial functions
Numerical methods and the Taylor series
Role of the exponential function in Finance
Workshops:
Bonds and Bond Yields
Modelling Yield Curves with polynomials and splines
Price optimisation using quadratics
Differentials and Calculus
Gradients, rates of change and differential calculus
Partial Differentials and PDEs
Definite and indefinite integrals
Workshops:
Techniques in calculus
Bond Prices, Interest Rates and Duration
Role of the Diffusion Equation PDE in Finance
Matrix Algebra
Matrix rules and operations
Cofactors and Determinants
The Portfolio Matrix
Workshops:
Simultaneous equations and solutions
Payoff Matrices
Portfolio risk & return and the Variance Covariance matrix
Day Two
Probability and Sets
Sets, diagrams, notation and probability laws
Probability Trees and Discrete Probability Distributions
Hypothesis or Significance Testing
Workshops:
Probability Calculations
Expected Monetary Value
Significance Testing with Trading Data
Distributions and Stochastic Processes
Real world Distributions and Descriptive Statistics
Theoretical probability distributions – Binomial, Normal and others
Stochastic approaches to Financial Data
Random walks and the Wiener Process
Workshops:
Descriptive Statistics and the FTSE
Random variables and Random walks
Stochastic Equity Returns Modelling
Forecasting and Regression
Time series Approaches
Correlation, Variance and Covariance
Linear and multiple regression
Real data and cautions in forecasting
Workshops:
Simple linear regression
Multiple regression forecasting models
Further Advanced Workshop Excel examples combine mathematical techniques from across the course and cover: | 677.169 | 1 |
Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.
Crossing the river with dogs : problem solving for college students
"Crossing the River with Dogs: Problem Solving for College Students has been adapted from the popular high school text to provide an accessible and coherent college-level course in mathematical problem solving for adults. Focusing entirely on problem solving and using issues relevant to college students for examples, the authors continue their approach of explaining classic as well as non-traditional strategies through dialogs among fictitious students. This text is appropriate for a problem solving, liberal arts mathematics, mathematics for elementary teachers, or developmental mathematics course"--Read more...
Abstract:
Crossing the River with Dogs: Problem Solving for College Students has been adapted from the popular high school text to provide an accessible and coherent college-level course in mathematical problem solving for adults.Read more... | 677.169 | 1 |
16B CALCULUS
Professor Vazirani Mar 21. 2014 1—3pm
Practice Final
Name: ID:
The true exam will be cumulative, but not much will come from before our lst
midterm. Since our 2nd midterm was fairly late in the quarter and we have not. done too
much since t
Math 163
Kouba
Carbon Dating
In 1960 the American scientist W. F. Libby won the Nobel prize for his discovery of carbon
dating, a method for determining the age of certain fossils. Carbon dating is based on the fact
that nitrogen is converted to radioacti
Math 1 63
Kouba
Supplemental Algebra
SA1 .) For tax purposes you must report the value of a refrigerator which
you bought three years ago for $1250. Assuming a straight line
depreciation in value for 10 years, that is, the refrigerator is worth
$1 250 whe
some examples with tabular integration
To make sure you understand what is going on, redo Exl7 with g(x) = e^(2x) , Exl8 with g(x) = sin(2x)
-a very tricky/hard example of using tabular integration (that almost goes in a circle)
Practice problems set 1:
Exponential functions: derivatives and exponential growth and decay
1. Find the critical values of the function y = xex .
2. Determine the intervals on which y = (1 + 2x)e4x is increasing and the intervals on
which it is decreasin
Practice problems set 3:
Logarithms: derivatives and applications
1. Find the critical value of y =
minimum, or neither?
1 2
x
2
ln x. Does it dene a local maximum, local
2. Determine the intervals on which the following function is increasing and the in | 677.169 | 1 |
Showing 1 to 3 of 3
This class taught me an amazing amount of information and it gave me a new way to think about the world. It was extremely intensive, and requires a working mindset, but it is completely worth it.
Course highlights:
We learned how to take derivatives of different equations, as well as how to integrate equations, and what these mean in real life applications, as well as how to maximize the products of two equations and how that can be used in real life.
Hours per week:
6-8 hours
Advice for students:
Definitely stay up on your notes and homework. Listen in class, and go in to his class to ask about the POWs because they have a very large effect on your grade, and they prepare you for the AP test.
Course Term:Fall 2015
Professor:Daniel Rodriguez
Course Tags:Math-heavyBackground Knowledge ExpectedLots of Writing
Aug 22, 2016
| Would highly recommend.
This class was tough.
Course Overview:
If you are serious about furthering your understanding of Calculus, I highly recommend that you take this course. Mr. Rodriguez, although strict, is an excellent teacher, and you will not only become a better math student, but a better student overall. He will help instill good study habits, as well as encourage you to seek help when you need it. He explains topics thoroughly and when asked to help someone, he will ask questions and help the student get started on the problem rather than simply give the student the answer. It is a very challenging course, but it is extremely well-worth the time and effort. It is almost guaranteed that you'll earn at least a 4, if not a 5, on the AP Calculus exam at the end of the year.
Course highlights:
I was initially terrified of this course due to how challenging and difficult it was in the beginning. However, some highlights that endeared me to this course would have to include when I earned an A- at the end of the first semester. I had started the year with an F, due to me failing the summer assignment. The fact that I was able to raise my grade from an F to an A gave me a huge confidence boost in my abilities. I also was chosen to participate in the Math Steeplechase on my school's varsity team, a county-wide math competition; having the opportunity to be one of four people to represent my entire school was very rewarding. It was even more rewarding when we won first place.
Hours per week:
6-8 hours
Advice for students:
I highly recommend going in for help at least once a week after school, even if you have no difficulties with the material. Having the teacher right there will be very helpful if you do in fact come across any troubling problems, which will ultimately help you achieve a higher grade in the class than if you choose to wait until the last week of the semester to ask for help. I also recommend using YouTube videos if you're at home and you need assistance. Most of these tutoring channels are easy to follow and provide excellent explanations. Above all, DO NOT BE AFRAID TO ASK FOR HELP. The worst thing you can do is pretend that you can handle all of this on your own. Math is difficult; AP Calc is even more difficult. It's a fact, and not a single person is going to judge you for asking for help.
Course Term:Fall 2016
Professor:Daniel Rodriguez
Course Tags:Math-heavyBackground Knowledge ExpectedGo to Office Hours
Jun 14, 2016
| Would recommend.
This class was tough.
Course Overview:
I would recommend this class to a student pursuing a major that involves math. It is a rigorous and challenging course that tests your abilities not only in math but in life management and time skills. It requires you to be mentally fit and takes away from you physically as you lose sleep over it. However, this class is rewarding in the end, especially if you pass the AP test.
Course highlights:
The highlights of AP Calculus were the AP test, volume of rotating solids, and the teacher. I learned so much in this class, honestly more than I have ever learned in one class before, and it is ultimately thanks to our amazing teacher who pushed us and helped us to excel in calculus. The AP test was a breeze after spending countless hours learning and reviewing all of the material. I learned so much and it has prepared me for college courses and hopefully my major in aerospace engineering.
Hours per week:
12+ hours
Advice for students:
I would say that the best pieces of advice I can give are to keep up with the work, be organized, and take good notes because they really do help you. I would also say that studying for tests and quizzes is definitely a must and asking for help is very beneficial to you. | 677.169 | 1 |
Executive Summary: High School Algebra 9 This High School Algebra 9 Course of Study is based on the previously Board-approved High School Algebra course.
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Presentation on theme: "Executive Summary: High School Algebra 9 This High School Algebra 9 Course of Study is based on the previously Board-approved High School Algebra course."— Presentation transcript:
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Executive Summary: High School Algebra 9 This High School Algebra 9 Course of Study is based on the previously Board-approved High School Algebra course of study to permit 9 th graders who failed Algebra Readiness as 8 th graders to take Pacemaker Algebra I to prepare them to be successful in Algebra I. Process : –The 7-12 Articulation Committee, 7-12 principals, and teacher focus group provided input towards finding an appropriate course of study for the 9 th grade intensive pathway in Math. –7-12 Math Articulation reviewed and recommended approval – May 4, 2009 –Sent to 9-12 principals via – May 14, 2009 –Received Curriculum Councils approval for recommendation – May 7, 2009 Recommendation: Approval of High School Algebra 9 course of study.
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High School Algebra 9 Course of Study Presentation Board of Education – June 2, 2009
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Need for Intensive Pathway for Grade 9 Mathematics Students who fail Algebra Readiness as 8 th graders need another intervention course to prepare them to be successful in Algebra I High School Algebra 9 will replace Algebra Readiness which had been included in the grade 9 pathway for one year
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High School Algebra 9 is a Freshmen only section of High School Algebra (Pacemaker) leading up to Algebra I with Shadow High School Algebra 9 is designed as an intervention course for 9th graders meeting the intensive criteria for math. Students who successfully complete High School Algebra 9 will be enrolled in Algebra I or Algebra I with Shadow. Duration: 1 year Credit: 10 Math Credits This course does not meet UC or CSU approval
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Rationale: Successful completion of this course completes the study of mathematics that meets the content standards for first year algebra. The course requires students to review, practice, use, or extend what they have learned in preparation for taking Algebra I. The course embodies a simple pedagogical approach that includes planned instruction with ample practice, review, and reinforcement. Topics include solving equations, introduction of functions, linear equations and functions, inequalities, systems of equations and inequalities, exponents and functions, quadratic functions and equations, polynomials and factoring, radicals and geometry, and rational expressions and equations.
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Four-Year Pathway: Students who successfully complete High School Algebra 9 will be placed in Algebra I or Algebra I with Shadow.
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Math Course Options for Grade 9:
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Context of Course of Study High School Algebra 9 (Pacemaker) is based on the updated course of study for High School Algebra 9. A separate course of study is needed because this course is… Open to freshmen only who were unsuccessful with Algebra Readiness in grade 8. (High School Algebra (Pacemaker) is currently only open to students in grades ) Intended to lead up to Algebra I or Algebra I with Shadow. (High School Algebra is currently used only for diploma track.)
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Impact on Graduation Requirement High School Algebra 9 (Pacemaker) will satisfy one year of math for district graduation purposes. Current 8th graders (students in the class of 2013) will be the only class to receive credit for two years of Algebra to fulfill their graduation requirement for mathematics through this proposed pathway. There may be a change in graduation requirements for subsequent classes will require students to successfully complete an additional math course to satisfy the 3-year math requirement.
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Conclusion Curriculum Council has recommended approval of High School Algebra 9 (Pacemaker) course of study on May 7, 2009. | 677.169 | 1 |
Synopsis
Handy Math Answer Book by Patricia Barnes-Svarney, Thomas E. Svarney
From modern-day challenges such as balancing a chequebook, following the stock market, buying a home, and figuring out credit card finance charges to appreciating historical developments by Pythagoras, Archimedes, Newton, and other mathematicians, this engaging resource addresses more than 1,000 questions related to mathematics. Organised into chapters that cluster similar topics in an easily accessible format, this reference provides clear and concise explanations about the fundamentals of algebra, calculus, geometry, trigonometry, and other branches of mathematics. It contains the latest mathematical discoveries, including newly uncovered historical documents and updates on how science continues to use math to make cutting-edge innovations in DNA sequencing, superstring theory, robotics, and computers. With fun math facts and illuminating figures, this book explores the uses of math in everyday life and helps the mathematically challenged better understand and enjoy the magic of numbers.
Reviews
Plain language questions take readers back to ancient Greece, shed light on the latest innovations of math in applications such as computing, finance, sports, and healthcare, [plus] math basics and history, through math in the physical and natural sciences and math in everyday life. -- Book News (June 2012) | 677.169 | 1 |
Evaluating Algebraic Expressions - Notes & Practice!
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
1.78 MB | 2 pages
PRODUCT DESCRIPTION
Here are the notes and extra practice worksheet I use to teach evaluating algebraic expressions in my classroom!
The notes page is provided in two different formats. In the first, replacement values for variables are not given on the student worksheet. You will need to tell these to your students as you progress through the notes as a class. This page is great because it prevents the learners in your classroom from working ahead! The second format is more traditional, as all replacement values are given in the problem. Use this option if you aren't worried about your students working ahead and missing important information. Please see the preview for a more visual description of the difference between the two formats!
The second part of this product is an extra practice worksheet. It would be great for partner practice or homework!
This resource has 28 questions with an answer key and can be printed and used immediately | 677.169 | 1 |
Practical Algebra If you studied algebra years ago and now need a refresher course in order to use algebraic principles on the job, or if you're a student who needs an introduction to the subject, here's the perfect book for you. Practical Algebra is an easy and fun-to-use workout program that quickly puts you in command of all the basic concepts and tools of algebra. With the aid of practical, real-life examples and applications, you'll learn: * The basic approach and application of algebra to problem solving * The number system (in a much broader way than you have known it from arithmetic) * Monomials and polynomials; factoring algebraic expressions; how to handle algebraic fractions; exponents, roots, and radicals; linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio, proportion, and variation; how to solve word problems, and more Authors Peter Selby and Steve Slavin emphasize practical algebra throughout by providing you with techniques for solving problems in a wide range of disciplines--from engineering, biology, chemistry, and the physical sciences, to psychology and even sociology and business administration. Step by step, Practical Algebra shows you how to solve algebraic problems in each of these areas, then allows you to tackle similar problems on your own, at your own pace. Self-tests are provided at the end of each chapter so you can measure your mastery.
An all-in-one resource on everything electronics-related! For almost 30 years, this book has been a classic text for electronics enthusiasts. Now completely updated for today's technology, this latest version combines concepts, self-tests, and hands-on projects to offer you a completely repackaged and revised resource. This unique self-teaching guide features easy-to-understand explanations that are presented in a user-friendly format to help you learn the essentials you need to work with electronic circuits. All you need is a general understanding of electronics concepts such as Ohm's law and current flow, and an acquaintance with first-year algebra. The question-and-answer format, illustrative experiments, and self-tests at the end of each chapter make it easy for you to learn at your own speed. Boasts a companion website that includes more than twenty full-color, step-by-step projects Shares hands-on practice opportunities and conceptual background information to enhance your learning process Targets electronics enthusiasts who already have a basic knowledge of electronics but are interested in learning more about this fascinating topic on their own Features projects that work with the multimeter, breadboard, function generator, oscilloscope, bandpass filter, transistor amplifier, oscillator, rectifier, and more You're sure to get a charge out of the vast coverage included in Complete Electronics Self-Teaching Guide with Projects!
Pre-Calculus Demystified leads the reader through all the intricacies and requirements of this essential course Whether you need to pass a class, a college requirement, or get a leg up on more advanced topics, this book provides clear explanation with a wealth of questions, answers and practical examples. PExpanded and revised, the Second Edition of the Algebra Survival Guide unleashes its power for a new generation of students. Now that Âthe Common Core StandardsÂhave changed how math is taught, thisÂ2ndÂedition aligns its content to these broad new guidelines. TheÂnewÂEdition also adds advanced content. In its XTREMEÂALGEBRAÂsection, the new edition tackles the topics of Functions, Inequalities and the Advanced Coordinate Plane,Âand it teaches storyÂproblems in all threeÂareas. These additions update the book for today's elementary and secondaryÂstudents; they also provide additional supportÂfor adults taking algebra in their return to college. Plus, with its newly expandedÂindex and glossary,ÂtheÂ2ndÂEdition makes all of its content easy to find.ÂTheÂbook retains the cartoons, analogies and conversational format that brought out praise from all corners and garnered the book both a Parents Choice Commendation and a Golden Porch Award forÂpedagogical excellence.
The fast, easy way to master the fundamentals of physics Here | 677.169 | 1 |
What Math Classes Does a Banker Have to Take?
Bankers perform a number of tasks that include forecasting, analyzing financial data and they manage financial accounts. They also oversee investments and engage in trading. Banking professionals can work in a number of sectors that include your little community bank on the corner of Main Street all the way up to investment banks, hedge funds and financial accounting institutions. There are a number of math courses that are paramount to a banker's education no matter what his industry or career level is.
Calculus
Investment bankers work with mergers and acquisitions, trading, and engage in research analysis. At the end of the day their job is to make money, and this requires studying figures, indicators and making smart predictions. Taking calculus is a vital math class no investment banker should miss because it is a branch of mathematics that helps people make predictions. Boston College's course in calculus includes the study of logarithmic functions. The logarithm of a number is the exponent to which the fixed-value base must be raised to produce a desired number. Such skills help investment bankers make financial predictions.
Statistics
Statistics deals with probability distributions, hypothesis testing, estimations and many other topics that directly relate to the roles of bankers. Often people in the banking industry will have B.S. degrees in finance, and statistics is a core course in most finance curricula, especially for those who work in central banks. The European Central Bank describes statistics as "relevant to all functions and tasks of the central bank" and that it enables proficiency in various areas that include "financial stability and banking supervision [and] payment systems."
Precalculus
Some people will fill entry level positions in big banks with the intention to go to grad school after they have some work experience. Anyone taking an entry level job in banking probably wouldn't need to know any math more advanced than precalculus. Precalculus teaches a basic introduction to problem solving with equations, polynomials, functions, exponential functions, logarithmic functions, trigonometric functions, trigonometric identities and equations, systems of equations and inequalities, mathematical induction, the binomial theorem and several other mathematical areas. Precalculus is also the class where most students learn how to use a graphing calculator for the first time. Precalculus is offered in high school as an AP class but is also commonly found in college curricula.
Algebra
If you work your way through college as a teller at Wells Fargo or Bank of America you don't need to have the advanced math skills that the big players on Wall Street have. Algebra is commonly offered in high schools and community colleges but can also be found nestled in between the lines of a four-year college curriculum. Most algebra classes teach percentages, fractions, linear and quadratic equations, inequalities, graphs and other topics. A bank teller primarily counts money, reconciles cash drawers and sells financial products to consumers. Some of these products require a teller to have algebra knowledge simply so he can demonstrate how the products work financially. For example, algebra will help tellers demonstrate savings accounts,certificates of deposit, mutual funds and securities. | 677.169 | 1 |
By answering the following questions you may prove that you are ready to take Freshman Math Winter course. May be after answering questions some of students decide that this course is not for them. It is understandable, and not too late to drop it.
However, if you intention is to stay in class, remember that you are responsible for your own learning. Instructor can assist you by showing directions you have to learn, provide by tools and answer questions, if needed. | 677.169 | 1 |
Workshop Descriptions
Math-Up (Elementary Algebra, Intermediate Algebra and Survey of Mathematics): Get a jump start on your upcoming math course in Math Up! Get the skills you need
to be successful in math through engaging and enjoyable activities.
Tech-Up (for all students): Enter the digital realm, increase your computer and on-line skills, and enjoy some
cyber-fun along the way. All sessions wil be held in the Karl Learning Resources
Center, Bldg. 210, Room 103B | 677.169 | 1 |
* "Mathematical Olympiad Treasures" aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. * The book contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics.
Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. | 677.169 | 1 |
About this product
Description
Description
With its fresh reader-friendly design, MATHEMATICS FOR ELECTRICITY AND ELECTRONICS, 4E equips learners with a thorough understanding of essential algebra and trigometry for electricity and electronics techlogy. Well-illustrated information sharpens the reader's ability to think quantitatively, predict results, and troubleshoot effectively, while problem sets for drill and practice reinforce comprehension. To ensure mastery of the latest ideas and techlogy, the book thoroughly explains all mathematical concepts, symbols, and formulas required by future technicians and techlogists.
Author Biography
Arthur D. Kramer is a Professor of Mathematics at NYC Technical College of City University of New York. He has authored four Technical Mathematics texts and Mathematics Courseware for PC use. He is also a member of the MAA, NCTM, and NYSMATYC. | 677.169 | 1 |
30413963
ISBN: 0130413968
Edition: 3
Publication Date: 2003
Publisher: Prentice Hall
AUTHOR
Wallace, Edward, West, Stephen
SUMMARY
Clarifying, extending and unifying concepts discussed in basic high school geometry courses, this text gives readers a comprehensive introduction to plane geometry.Wallace, Edward is the author of 'Roads to Geometry', published 2003 under ISBN 9780130413963 and ISBN 01304139 | 677.169 | 1 |
This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics.
Buy Dizzcloud Premium To Support Me & Get Resumable Support & Max Speed | 677.169 | 1 |
Availability: Available to Backorder, No Due Date for Supply, Not for Xmas
Exploratory Examples for Real Analysis by Joanne E. Snow
Book Description
Contains supplementary exercises and projects designed to facilitate students' understanding of the fundamental concepts in real analysis, a subject notoriously hard for beginners. The exercises can be used in a number of ways: to motivate a lecture; to serve as a basis for in-class activities; in lab sessions where students work in small groups and submit reports of their investigations. For the last of these, programs in Maple are supplied with further ancillary material available via from | 677.169 | 1 |
* One-topic-per-page format helps students revise more quickly, without the hassle. * Exam-style worked examples match the new specification and demonstrate good exam technique. *'Now try this' exam-style practice questions let students test their understanding of a topic. * Key formulae tell students exactly which formulae they need to learn for their exam. * Target level indicator shows students exactly what level they are working at. * Problem solving support throughout including tricky questions on easy topics and strategies and techniques for answering AO2 and AO3 questions. * Video worked solutions show students exactly how to answer tricky questions. * Complete coverage of the new specification including brand-new topics like functions and Venn diagrams. * Visual explanations of key concepts help students revise quickly and recall key skills in their exams. 2015-10-072466171447987925 | 677.169 | 1 |
MathEdit
MathEdit is an interactive visual mathematical expression editor. Running in a Web browser, it allows you to create and edit mathematical expressions with a convenient and intuitive graphical user interface. With MathEdit, users can easily enter mathematical expressions as answers to questions in mathematics lesson pages for example. Web page authors can also use MathEdit to create mathematical expressions to be included in their XHTML documents. The figure below shows the MathEdit authoring environment. | 677.169 | 1 |
MAT 121 Math for Business Fall 2012
Worksheet 1 - Review
1. There is a one-to-one correspondence between a point in the plane and an ordered
pair of numbers. Sketch a set of coordinate axes and plot the points: (-2, 3), (1, 4),
(3, -1) and (-2, -3).
2. Ev
Section 6.1 Volumes By Slicing and Rotation About an Axis
Generalized Cylinder
A cylinder is a solid that is generated when a plane region is translated along a
line or axis that is perpendicular to the region.
If a cylindrical solid is generated y transl
Chapter 7 Infinite Sequences and Series
7.1 Sequences
A sequence is a list of numbers a1, a2, a3, , an, in a given order.
Each of a1, a2, a3 and so on represents a number. These are the terms of
the
sequence.
The integer n is called the index of an, and
Chapter 8 Polar Coordinates and Conics
8.1 Polar Coordinates
In this section, we study polar coordinates and their relation
to Cartesian coordinates.
While a point in the plane has just one pair of Cartesian
coordinates, it has infinitely many pairs of po
MA 260 LINEAR ALGEBRA
HOMEWORK 1 4 2 260 LINEAR ALGEBRA
HOMEWORK 5 you
MA 260 LINEAR ALGEBRA
HOMEWORK 3 121
MATHEMATICS FOR BUSINESS AND INFORMATION SCIENCE
LECTURE 31
WING HONG TONY WONG
4.1 The simplex method: Standard maximization problems
When we solve a linear programming problem using a geometric approach, it was working
great. However, if we have
MAT 121
MATHEMATICS FOR BUSINESS AND INFORMATION SCIENCE
LECTURE 22
WING HONG TONY WONG
5.2 Annuities
The formula for future value of an annuity is
(1 + i)n 1
S=R
,
i
where S = Future value of an annuity;
R = Recurrent payment at the end of each investmen
Fall 2013
Kronenthal
Math 181 Section 050
Section 2.3: Limit Laws
September 3, 2013
The following limit laws are presented in section 2.3. Every time you use one of these laws in homework
problems from this section, you should use the labels below to indi
Fall 2013
Kronenthal
Name:
Math 181 Section 050
Review Worksheet
August 26, 2013
Directions: These problems are designed to remind you of a few of the concepts you should have seen in
an algebra or Precalculus course. Relax, try your best, and be sure to
Fall 2013
Kronenthal
MAT 181 Section 050
Optional Bonus Problems
Due on Friday, November 22
In class on Friday, November 15, we learned that if f is continuous (or has at most nitely many jump
discontinuities) on [a, b] , then f is integrable on [a, b].
1
Fall 2013
Kronenthal
MAT 181-050
Section 3.1
Supplemental Graded Homework Problem
In this problem, we will answer the following question:
Where is f (x) = |x| dierentiable?
To do this, answer the following questions. Be sure to show all work and completel | 677.169 | 1 |
Word Document File
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0.25 MB | 2 pages
PRODUCT DESCRIPTION
This activity requires students to delve into a function word problem application and answer multiple parts. Students are required to create an equation, graph a function, and compare different functions | 677.169 | 1 |
About
Overview examples and applications. A complete table of contents and a comprehensive index enable readers to quickly find specific topics, and the approachable style and format facilitate an understanding of what can be intimidating and tricky skills. Perfect for students studying probability and those who want to brush up on their probability skills.
Features and Benefits
A new addition to the top selling "Master Math" series of books.
Includes coverage of topics such as sample space, permutations and combinations, conditional probability, independent events, random variables, expected value and expectation, and applications.
A very simple, easy-to-follow guide that uses clear and concise language and features practical problems with step-by-step solutions.
Meet the Author
Author Bio
Catherine A. Gorini | 677.169 | 1 |
CCSS.Math.Practice.MP6: Common Core State Standards for Mathematics
CCSS.Math.Practice.MP7: Common Core State Standards for Mathematics
CCSS.Math.Content.HSA-SSE.B.3: Common Core State Standards for Mathematics
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.?
CCSS.Math.Content.HSA-SSE.B.3c: Common Core State Standards for Mathematics
Use the properties of exponents to transform expressions for exponential functions.HSF-IF.C.8b: Common Core State Standards for Mathematics
Use the properties of exponents to interpret expressions for exponential functionsHSA-SSE.B.3c: Mathematics
Use the properties of exponents to transform expressions for exponential functions04-29.
Component Ratings:
Technical Completeness: 3 Content Accuracy: 3 Appropriate Pedagogy: 2
Reviewer Comments:
This extensive exercise is intended to wean students away from the exponential form (1/a) ^ x to the more frequently used form b^(-x). The exercises make heavy use of graphing calculators and those can ask students to perform heavier calculations and draw more graphs than could be accomplished without their use.The exercises state some of the uses of exponential models without unfortunately providing any explanation as to why their are used in these circumstances.
Not Rated Yet.
This is the exponential functions section which explores some special exponential functions and show how to fit exponential functions to data. | 677.169 | 1 |
ISBN 9789380108957
ISBN-10
9380108958
Binding
Paperback
Number of Pages
430 Pages
Language
(English)
Subject
Mathematics & science
Ideal for an introductory course in complex analysis at the advanced undergraduate or graduate level, this text has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses in the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mödius transformations are presented with emphasis on the geometric aspect and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Function, Analytic Continuation, Normal families, Conformal Mapping, and Harmonic Functions.
Key Features:
Power Series approach gives students a chance to review calculus and discover complex analysis is a natural extension of calculus
Unique coverage of Phragmén-Lindelöf Theorem (§10.4), the Runge Approximation Theorem (§6.6), Conformal Mappings of Multiply-Connected Regions (§7.9), and Extensions of Theorems of MittagLeffler and Weierstrass (§7.3)
Also unique is the comparisons of Complex Analysis and Real analysis in Chapter 4,5, and 9
New, elementary proof of the Picard Theorems in Chapter 12
Generous exercise sets are a treasure trove of interesting and challenging problems
Over 60 illustrations help the reader visualize complex relationships
About the Author Liang-shin Hahn-University of New Mexico, Albuquerque, New Mexico | 677.169 | 1 |
Summary and Info
Success in your calculus course starts here! James Stewart's Calculus texts are worldwide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With Calculus (Seventh Edition), 0 out of 5 stars based on 0 ratings. Your Rating: ☆☆☆☆☆★★★★★ | 677.169 | 1 |
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Graphing Calculator Resources
Math & Statistics
About Math & Statistics
Whether your interest is to study mathematics as a purely intellectual pursuit or as a requirement for some other program, Capilano University offers courses from preparatory algebra through second-year university level mathematics and statistics to help you realize your goals.
Where would you like to begin your studies?
On this page:
Preparatory
Math 097 is an intermediate algebra course designed to refresh students' algebra skills, with a focus on preparing students for MATH 105 (Precalculus). MATH 097 also serves as a prerequisite for MATH 101 (Introduction to Statistics) and MATH 190 (Mathematics for Elementary School Teachers).
Precalculus
MATH 105 is a precalculus course specifically designed for students planning on taking calculus. It is recognized by post-secondary institutions as a Precalculus 12 equivalent. MATH 105 receives transfer credit at all the major universities, except UBC-Vancouver.
Calculus I
MATH 108 is a calculus course designed primarily for students planning to pursue a business or commerce program, whereas MATH 116 is oriented to the sciences. As enrolment permits separate engineering, life science and physical science streams of MATH 116 will be offered with each stream covering the same core content but emphasizing examples relevant to the associated applications area.
Introductory Statistics
Mathematics for Elementary Teachers
MATH 190 is a course designed for future elementary school teachers. A component of the term work in this course requires preparation for and participation in a SNAP Math Fair that is held on campus outside of regularly scheduled class time. Attendance at the Math SNAP Fair is MANDATORY. Students who have taken, received transfer credit for, or are currently taking MATH 108 or MATH 116 (Calculus I), may not take MATH 190 for credit without the permission of the Department of Mathematics and Statistics. This course is not normally available for credit to students in science programs.
Mathematics for Liberal Arts Students
MATH 300 is a course designed for students interested in the connections between mathematics and the creative arts. Throughout history, mathematics has been used as a tool to study and to create a variety of works in music, literature and visual art. This course uncovers the math both in the forefront and behind the art. This course may be used as an elective for any degree program at Capilano University. MATH 300 does not currently have transfer credit at other institutions. | 677.169 | 1 |
Study Skills
Problem Solving Tips
Here are 12 problem solving tips that will help you develop study skills. These problem solving tips will help you tackle assignments from high school classes, colleges, and online universities.
1. Identify what principle the problem involves. Is the problem about projectile motion? circular motion? conserving energy? This will help you analyze the problem and make sense of the givens.
2. Get help immediately from your physics tutor or study group with those problems where you do not understand what you did wrong.
3. Showing your work makes it easier to find mistakes and to prepare for exams.
4. Work on understanding concepts, rather than trying to memorize a recipe. Learn to apply principles to solve problems; there are too many kinds of problems to be able to memorize all the recipes. Trying to memorize recipes makes it less likely you will be able to solve new problems.
5. Keep up with the assignments as they are due. The ideas you will try to learn tomorrow usually depend on understanding what was discussed today.
6. Staring at a blank page is a waste of time. If you get stuck talk to your physics tutor or someone from your study group.
7. Almost any problem you encounter in a physics course can be described with a drawing. Such a drawing often contains or suggests the solution to the problem. Put as much information as you can in the drawing.
8. Draw a second picture such as a free body diagram, a graph, a vector diagram. Include the coordinate system for the situation. This is particularly important for problems involving forces.
9. Before doing any calculations, guesstimate what a reasonable final answer might be if you can. Check your solution against your guesstimate This will develop your intuitive understanding of the problems.
10. Calculate the solution by doing as much as possible without using specific numbers. Often quantities will cancel out. Do as much of the algebra as you can before plugging in values from the question.
11. Ask yourself how you could do the question more quickly on an exam. | 677.169 | 1 |
Summary and Info
This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior, differential systems and the method of moving frames. The book presents thorough and modern treatments of both subjects, including their applications to classic and contemporary problems.The book begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally, with motivating examples leading to definitions, theorems and proofs.Once the basics of the methods are established, applications and advanced topics are developed. One particularly notable application is to complex algebraic geometry, where important results from projective differential geometry are expanded and updated. The book features an introduction to G-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs, via Darboux's method, the method of characteristics, and Cartan's method of equivalence.This text is suitable for a one-year graduate course in differential geometry. It has numerous exercises and examples throughout. The book will also be of use to experts in such areas as PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. | 677.169 | 1 |
pc_academic_plan_11-12 - Shorecrest High School 2011-2012...
Shorecrest High School 2011-2012 Academic Plan for Precalculus Teacher: Ms. Patty Mitchell Email: patty.mitchell@shorelineschools.org Textbooks: 1) Precalculus: Graphical, Numerical, Algebraic , Addison-Wesley, 2011 2) Precalculus Collingwood and Prince (University of Washington Math 120 course book) Note: The UW book can be downloaded as a free pdf from or students can buy a paper copy from the teacher for $18. Course Summary: This course will help you to further develop your problem solving skills and mathematical endurance to prepare you for Calculus and other college level mathematics courses. The class is modeled after the University of Washington Precalculus (Math 120) class , with the intention of giving you an introduction to the culture and rigor of a typical college math class. The graphing calculator will be an integral part of your learning process as you strengthen your understanding of the connections between algebraic, verbal, graphic and numeric representations of mathematical situations. You will also work on increasing your ability to understand written math explanations and to write and orally explain mathematical reasoning. You will plan and carry out projects that apply and extend the skills learned in class. You will be expected to work independently and with others. It is common to spend an hour or more doing one problem from the UW text. Students learn by active participation ; it is very unusual for a student to learn simply by watching the instructor. There is a significant increase in student autonomy and responsibility in Pre-Calculus. Students will be expected to address confusion immediately and always be looking for ways that they can delve deeper into the topics presented. Who Should Take This Course: This class is designed for students who have achieved at least a B in Algebra 2. If students have achieved lower than that in Algebra 2, they need to be prepared to put in the extra work outside of class to be successful. Functions and Statistics is another high-level math course option for those that feel they are not yet ready for Precalculus. Earning College Credit: Note that ALL students will be completing the same assignments and tests, regardless of their intentions to pursue college credit. In order to obtain 5 credits in Math 120 at the University of Washington (in addition to your Shorecrest High School credits), you need to: 1) Pay $344 in tuition by September 30 th , 2011 2) Obtain a passing grade (D or higher) using the UW grading percentages below: Cumulative Final Exam (end of the year) 40% Chapter Tests & Quizzes 35% Homework Effort 15% Homework Learning Checks 5% Participation 5% Note that these percentages are different than the percentages (listed below under "Grading Policy") used to obtain your Shorecrest High School Grade. Your UW grade is only relevant if you have applied for
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This curriculum emphasizes a multi-representational approach to algebra, with concepts, results, and problems being expressed graphically, analytically, and verbally. It develops algebraic fluency by providing students with the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. In addition, the course develops proficiency with operations involving monomial and polynomial expressions. The main unifying themes of the course include understanding, writing, solving, and graphing linear equations, systems of linear equations and inequalities, quadratic equations, and rational equations.
Upon completion of this course you will: | 677.169 | 1 |
College Math Essentials: Logarithms
The mysteries of logarithms revealed!
4.8 for college/university students who want to learn logarithms or just need a refresherBy taking this course, you will be able to calculate any logarithm with ease, use logarithm rules like a wizz and solve exponential and logarithmic equations in your sleep!
What are the requirements?
Some basic high school level mathematics will be assumed, such as the use of variables, order of operations, the meaning of an exponent and graphing in the x-y plane.
What am I going to get from this course?
calculate any logarithm with ease
apply logarithm rules like a wizz
solve exponential equations using logarithms
solve logarithmic equations using exponents
graph exponential and logarithmic functions
take your new-found knowledge to the next level with real-life applications of logarithms
What is the target audience?
This course is designed for college/university students who need a refresher on logarithmsLearn the general shape and behaviour of a logarithmic function so that you can graph transformations of these functions with ease. Understand the graphical relationship between a logarithmic function and an exponential function.
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Instructor Biography | 677.169 | 1 |
Learning OpenCV puts you in the middle of the rapidly expanding field of computer vision. Written by the creators of the free open source OpenCV library, this book introduces you to computer vision and demonstrates how you can quickly build applications that enable computers to "see" and make decisions based on that dataThis book constitutes the thoroughly refereed post-conference proceedings of the 16th Japanese Conference on Discrete and computational Geometry and Graphs, JDCDGG 2013, held in Tokyo, Japan, in September 2013.
This updated third edition illustrates the mathematical concepts that a game developer needs to develop 3D computer graphics and game engines at the professional level. It starts at a fairly basic level in areas such as vector geometry and linear algebra, and then progresses to more advanced topics in 3D programming such as illumination and visibility determination. Particular attention is given to derivations of key results, ensuring that the reader is not forced to endure gaps in the theory. The book assumes a working knowledge of trigonometry and calculus, but also includes sections that review the important tools used from these disciplines, such as trigonometric identities, differential equations, and Taylor seriesA complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic. Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry. | 677.169 | 1 |
Outstanding Math Guide (OMG) 8th Grade
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
8.37 MB | 117 20 graphic organizers. Students keep their OMG in their Math Notebook to use as a reference in classwork, homework or to study for tests. (To see a completed student's OMG click on the pictures.)The following differentiated graphic organizers are included: Radicals, Rational/Irrational Numbers, Exponents, Linear Equations, Linear Functions, Perfect Squares and Cubes, Scientific Notation, Slope, Solving Equations, System of Equations, Functions, Functional Relationships, Multiple Representations, Angels, Constructions, Pythagorean Theorem, Similar/Congruent, Transformations, Volume, and Scatter Plots | 677.169 | 1 |
Grade distribution and a critique of each exam will be provided before the next class session. state models and abstract algebraic structures. Weekly electronic classroom (ECR) sessions and all assignments will use NSU's Blackboard system. It is recommended as a general aid for all distance-learning students and particularly for students that feel they might need additional assistance. ISBN 13: 978-0-07-735350-6 The guide provides solutions for odd-numbered problems. logical systems. EXIT COMPETENCIES: The student will demonstrate subjective and objective skills in differentiation. weekly ECRs and four exams. state models and abstract algebraic structure. computability theory. computability theory. The general theme is the application of mathematical structures and processes for the efficient computation by algorithmic methods in computer applications. lattices. COURSE OVERVIEW AND OBJECTIVES: The course is an introduction to the concepts and techniques of discrete mathematics structures used in the theory and application of Computer Science. The class consists of assigned readings and problems. matrices. production systems. The student is responsible for all scheduled readings. Boolean algebra problems. Topics include logic. algebraic structures. COURSE DESCRIPTION: Graph theory. The student must be familiar with both tools.Rosen. recurrence relations. recursive function theory. INSTRUCTIONAL METHODS: The class utilizes computer-based distance learning concepts and facilities. McGraw-Hill. assigned problems. All correspondence must be conducted via NSU's E-Mail facility. relations. binary and value matrices. Class Notes content as well as all content in ECR sessions and any formal Blackboard discussions. Student Solutions Guide for Discrete Mathematics and its Applications (7th Ed. Boolean algebra. logical systems.). Additional material and processes will be presented and discussed in an effort to add currency and relevance to the course or to augment the text. functions. Kenneth. (2011). and graph theory. and recursive functions. selection and calculating solutions to graph theory. set theory. production systems.
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Submitting Assignments:
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Assignments without a name will be processed last.Orientation presentations and tutorials.Examinations will be distributed and submitted via Blackboard. New student presentations may be found at: to live and archived sessions. Blackboard will
.Assignment Manager. View the "new student" presentations.the official guide to the class .a quick look at posted grades Questions on Blackboard operation and problems should be directed to Desk. The class' Blackboard area is available before the first day of class to all students registered for this class. Blackboard provides: .edu/ NSU's Blackboard is used as the primary on-line class delivery system. Note: A student may not do additional work or repeat an examination to raise a grade. After logging into the class' Blackboard area. Exceptions and extensions may occur due to service outages or other problems. exam info.nova. Assignment. Submit all examinations to Blackboard . Class.verification for appropriate browser and version.Blackboard (virtual) Electronic ClassRoom (ECR) Collaboration tool . the student will see individual links to: . grades and feedback Grade Center . LOGISTICS ISSUES: The student must be familiar with NSU and GSCIS policies. ECR Schedule. A late penalty will be assessed at-five points per day (maximum 2 days and 10 points).scis.. Java applets necessary for proper operation .Assignment Manager – assignments. exam critiques. Additionally.Announcements – instructor's bulletin board. Students will be notified via EMail. Downloadable versions are available. etc . etc.Syllabus . all on-line submissions. tutorials. . Official submission date of "no name" assignments is determined by the date of the assignment's identification. Examinations will not be accepted after the stated cutoff date. NSU's Help
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This class will have traditional lecture-type classes delivered via Blackboard-Class Tools – Elluminate Live Electronic ClassRoom (ECR) sessions. Exam submissions must include the following information on the first page: Name.Assignment Manager. dates. Blackboard requires use of an up-to-date browser which is available via the Blackboard site. Date. The policies are available on the NSU and GSCIS web pages. Note that Blackboard will not add any identification to your submission.
7. 2. dates and content. Homework problems will not be submitted for grade. 1 (Problems in subchapters 1.is 70.Announcements identifying meeting time. all communications must use NSU email.6. For example. GRADE DISTRIBUTION: Grades will be based on four exams. 1.2 should be completed and ready for discussion by the start of the Week 2 session. Ch.000 to 72.) For example: C. In accordance with NSU's "NSU email only" policy. ECR's will not be held on "exam due" nights. ECR sessions falling on scheduled holidays will be recorded at another time – TBD. Grade Distribution:
Test 1 Test 2 Test 3 Test 4
20% 25% 30% 25%
Grade Scale: (all numbers inclusive.1 and 2. Blackboard email will not be used.9999
Grade Range F < 70 C70-72 C 73-76 C+ 77-79 B80-82 B 83-86 B+ 87-89 A90-92 A =>93
CLASS OUTLINE: NOTE: Students should complete their assignments/problems for the upcoming week. The ECR schedule is posted in Blackboard .be used as a dynamic bulletin board for Announcements.
. Assignments and grade postings.
and Dossy. (2005).A. and Use
SCHOOL AND UNIVERSITY'S POLICY AND PROCEDURES Students must comply with the policies pulished in the school's Graduate Catalog and the NSU Student Handbook. and using unauthorized materials. during an examination) 4.Not engage in cheating (e . combinatorics and number theory. Standards of Academic Integrity For the university-wide policy on academic standards. Strong emphasis is independent of any specific programming language. proper caution. Each student is responsible for maintaining academic integrity and intellectual honesty in his or her academic work. graph theory. (2ed ed).Undergraduate text computer science based discrete mathematics. ISBN 978-0-19-850717-8 Advanced text for the serious student. other. Dossy.pdf 1. such as notes. giving or receiving help during examinations.edu/NSS/pdf. (5th ed). see the section Code of Student Conduct and Academic Responsibility in the NSU Student Handbook . and textual definition and concepts. J. not that of another person 2. ISBN 978-0-47-147602-3 Interesting asides relating to game and puzzle influences on today's involved mathematics applications. ISBN 978-0-13-065247-8 Handy tool for CS students that features utility grade computer discrete math tools. Reader should have a basic grasp of calculus. It is the policy of the school that each student must: 1. (2002)..A. Also see the section Student Misconduct in the GSCIS catalog. Emsley.g. Discrete Mathematics.Submit his or her own work. J.W.S.The catalog is at D. The text allows students to concentrate on fundamental problem solving. Be aware that some definitions from European.Not falsify data or records (including admission materials) 3. some of which are included or referenced below. Discrete Mathematics. Biggs. Ross.pdf The handbook is at See also webopedia for specific topics. N. K.edu/cwis/studentaffairs/forms/ustudenthandbook. The text is the final source for any differences. (2001).nova.Not receive or give aid on assigned work that requires independent effort
. (2002). J. sources may differ slightly from the U. Discrete Mathematics. Discrete Mathematics. and Crawley.nova.documents/Catalog. ISBN 978-0-32-107912-1.A. acquiring and/or transmitting test questions prior to an examination.
") (see Crediting the Words or Ideas of Others below)
'
Crediting the Words or Ideas of Others When using the exact words of another. quotation marks must be used for short quotations (fewer than 40 words).Not use term paper writing services or consult such services for the purpose of obtaining assistance in the preparation of materials to be submitted in courses or for theses or dissertations 7.Properly credit the words or ideas of others according to accepted standards for professional publications (see Crediting the Words or Ideas of Others ) 6. Blackboard will
. and block quotation style must be used for longer quotations. Additionally. Fifth Edition. pp. proper citation must also be provided.
This class will have traditional lecture-type classes delivered via Blackboard-Class Tools – Elluminate Live Electronic ClassRoom (ECR) sessions. The Publication Manual of the American Psychological Association. (2001. 117 and 292) contains standards and examples on quotation methods. In either case.5.Not commit plagiarism ( Merriam-Webster s Collegiate Dictionary (1996) defines plagiarism as "stealing or passing off ideas or words of another as one's own""and "the use of a created production without crediting the source.
Work that is not properly edited will be rejected.com for review. papers. Rather than make changes of this nature.The New Shorter Oxford English Dictionary (1993) defines paraphrase as "An expression in other words. Work is not original when it has been copied or partially copied from any other source. and writing that fails to express ideas clearly will affect their grades and the completion of the academic programs. or unless copying. or work) in other words. Original Work Assignments. including another student. in both form and content. Fifth Edition.. deleting words. should be letter-perfect. phrase.Writing Skills Students must demonstrate proficiency in the use of the English language. they should refrain from using outside editors that redo their work.. exams. usually fuller and clearer. reexamination.". At all times. Exams and tests are original work when no unauthorized aid is given. Students requests for accommodation based on ADA will be considered on an individual basis.. not that of another person. sharing.. but such thoughts or words must be identified using quotation marks or indentation and must properly identify the source (see the previous section Crediting the Words or Ideas of Others). Consequently. of the sense of a written or spoken passage or text . must be the original work of the student. Grammatical errors. a proper citation must be provided. students are expected to comply with the school's accepted citation practice and policy. usually with the object of clarification. passage.. unless such copying is acknowledged by the person submitting the work for the credit at the time the work is being submitted. Original work may include the thoughts and words of others. or substituting synonyms is not acceptable paraphrasing .When paraphrasing (summarizing or rewriting) the words or ideas of another. and/or remediation. The university's detailed policy on disabilities is contained in the NSU Student Handbook. Student requests for accommodation based on ADA will be considered on an individual basis. 2. The school and its faculty are committed to maintaining high standards of academic integrity. dissertations. etc. The faculty will not provide remedial help concerning grammatical errors or other writing difficulties.it is plagiarism.. or joint authorship is an express part of the assignment. projects. (The Publication Manual of the American Psychological Association.Changing word order. spelling errors.
. theses.Disabilities and ADA NSU complies with the American with Disabilities Act (ADA). It is the student's responsibility to proofread and edit his or her work which. even when properly cited. (2001) contains standards and examples of citation methods (pp. 3. Student work will be routinely submitted to plagiarism detection tools (such as those at www. received.turnitin. Work is not original when it has been submitted previously by the author or by anyone else for academic credit. or used before or during the course of the examination. Express the meaning (of a word. It is university policy that students submit their own work. the source should be quoted as written. 207-214)..
the grade will be changed automatically from I to F. Withdrawals sent by email must be sent from the student's assigned NSU email account. GSCIS uses various course management tools that use private internal email systems. the student may be
This class will have traditional lecture-type classes delivered via Blackboard-Class Tools – Elluminate Live Electronic ClassRoom (ECR) sessions. In no case may the completion date extend beyond 30 days from the last day of the term for master's courses or beyond 60 days from the last day of the term for doctoral courses. Students who forward their NSU-generated email to other email accounts do so at their own risk. faculty and staff members will send mail only to NSU email accounts using NSU-recognized usernames.scis.. The incomplete contract must contain a description of the work to be completed and a timetable.edu/NSS/pdf_documents/AcadCal. course or program. the student must: (1) provide a rationale. Students with four withdrawals will be dismissed from the program. No student may graduate with an I on his or her record. Depending on the date of withdrawal. The completion period should be the shortest possible. Blackboard will
. 5. Failure to attend class or participate in course activities will not automatically drop or withdraw a student from the class or the university. When communicating with students via email.g. (2) demonstrate that he/she has been making a sincere effort to complete the assignments during the term.The Temporary Grade of Incomplete (I) The temporary grade of Incomplete (I) will be granted only in cases of extreme hardship. The incomplete contract will accompany the submission of the professor's final grade roster to the program office.Grade Policy Regarding Withdrawals Course withdrawal requests must be submitted to the program office in writing by the student. If a change-of-grade form is not submitted by the scheduled completion date.Students with disabilities should discuss their needs with their academic advisors before the commencement of classes if possible. Requests for withdrawal must be received by the program office by the calendar midpoint of the course (see dates in the academic calendar in the catalog and program brochures or at: When a withdrawal request is approved.pdf) . Additionally. Requests for withdrawal received after 11:59 p.Communication by Email Students must use their NSU email accounts when sending email to faculty and staff and must clearly identify their names and other appropriate information. EST on the withdrawal deadline date will not be accepted. Should the course professor agree. and (3) explain how all the possibilities to complete the assignments on time have been exhausted. A student desiring an incomplete must submit a written appeal to the course professor at least two weeks prior to the end of the term. an incomplete contract will be prepared by the student and signed by both student and professor. The program office will monitor each incomplete contract . Students enrolled in courses using these tools should check both the private internal email system and NSU's regular email system. which may be granted only when there is evidence of just cause. In the appeal. Students are encouraged to check their NSU email account daily. 4. 6. e. NSU offers students web-based email access. Students do not have a right to an incomplete. Students who have not withdrawn by the withdrawal deadline will receive letter grades that reflect their performance in the course.nova. the transcript will show a grade of W ( Withdrawn ) for the course. | 677.169 | 1 |
Learn the answers to questions such as: How do data structures like heaps, hash tables, bloom filters, and balanced search trees actually work, anyway? How come QuickSort runs so fast? What can graph algorithms tell us about the structure of the Web and social networks? Did my 3rd-grade teacher explain only a suboptimal algorithm for multiplying two numbers?This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part I covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings You'll learn what NP-completeness and the famous "P vs. NP" problem mean for the algorithm designer. Finally, we'll study several strategies for dealing with hard (i.e., NP-complete problems), including the design and analysis of heuristics. Learn how shortest-path algorithms from the 1950s (i.e., pre-ARPANET!) govern the way that your Internet traffic gets routed today; why efficient algorithms are fundamental to modern genomics; and how to make a million bucks in prize money by "just" solving a math problem! | 677.169 | 1 |
Mathematics for Algorithm and Systems Analysis by Edward A. Bender
Book Description
Discrete mathematics is fundamental to computer science, and this up-to-date text assists undergraduates in mastering the ideas and mathematical language to address problems that arise in the field's many applications. It consists of 4 units of study: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
Books By Author Edward A. Bender
Suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics, this introductory text explores counting and listing, graphs, induction and recursion, and generating functions. Includes numerous exercises (some with solutions), notes, and references.
Explores Boolean functions and computer arithmetic; logic; number theory and cryptography; sets and functions; equivalence and order; and induction, sequences, and series. Assumes some familiarity with calculus. Original 2005 edition.
Mathematical Methods in Artificial Intelligence introduces the student to the important mathematical foundations and tools in AI and describes their applications to the design of AI algorithms. This useful text presents an introductory AI course based on the most important mathematics | 677.169 | 1 |
concept have different meanings.. However, in EMS the same concept can be used in the same conceptual understanding of mathematical expanded notation to divide the total assets of a company (R 1230 = R 1000- Fixed Assets + R200 -Stock + R30 – Cash)
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Process integration (between disciplines and real life situation, when welders, builders and
engineers use geometrical figures (triangles, squares and rectangles), operational measurements and tools to strengthen their frames.
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Methodological integration and (using a method from one discipline in another discipline, using
calculations in geometry to work out area and circumferences on maps that was drawn at a certain, ratio and in scale )
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Thematic integration (using a theme to integrate two or more disciplines, using HIV as a theme
for statistics in mathematics, to teach life skills in Life orientations, to show the growth or falling of the economy due to human resources in EMS or to broaden vocabulary in languages, as well as relevant content in all other LA"s for a specific time frame in a learning period or term)
My study is related to content integration, which speaks to the integration between two learning areas, according to Davidson (1995). My study concentrate specifically on the integration of mathematics with economic management sciences and the concepts I use are also concepts from the EMS curriculum. The need to explore if teachers understand these different types of integration types evolves from the questions in the study. Like a ratio example from mathematics;
Divide R 500 in the ratio 2:3. 2+3=5
R500 5
= R100
2 × R100 = R200 3 × R 100 = R300
EMS will use the ratio in some of the profit mark ups determining the selling price. Cost price R100; mark up 30%. | 677.169 | 1 |
Polynomials
Paperback | October 9, 2003 approximation, and congruences. The theory is not treated formally, but rather illustrated through examples. Over 300 problems drawn from journals, contests, and examinations test understanding, ingenuity, and skill. Each chapter ends with a list of hints; there are answers to many of the exercises and solutions to all of the problems. In addition, 69 "explorations" invite the reader to investigate research problems and related topics.
Pricing and Purchase Info approximatFundamentals.- Evaluation, Division, and Expansion.- Factors and Zeros.- Equations.- Approximation and Location of Zeros.- Symmetric Functions of the Zeros.- Approximations and Inequalities.- Miscellaneous Problems.- Answers to Exercises and Solutions to Problems.- Notes on Explorations.- Glossary.- Further Reading.- Index.
Editorial Reviews
From the reviews:E.J. BarbeauPolynomials"This book uses the medium of problems to enable us, the readers, to educate ourselves in matters polynomial. In each section we are led, after a brief introduction, into a sequence of problems on a certain topic. If we do these successfully, we find that we have mastered the basics of the topic. If we have any difficulties, we can refer first to the hints, and, failing these, to the detailed solutions. These form an important and substantial part of the book, and often refer the reader on to the research literature. The book, like good literature, can be read successfully at different levels, and would not be out of place in any mathematician's library."-MATHEMATICAL REVIEWS"This is a two-faced book, and that's a good thing. One face is a set of enrichment materials for bright high school students. The other face is a fairly comprehensive textbook on algebraic properties of polynomials. . The present book is an excellent introduction to the subject for anyone, from high schooler to professional." (Allen Stenger, The Mathematical Association of America, August, 2011) | 677.169 | 1 |
A diagnostic test with explained answers to help students identify their strengths and weaknesses Advice on using a graphing calculator A detailed review of all test topics, including polynomial, trigonometric, exponential, logarithmic, and rational functions; coordinate and three-dimensional geometry; numbers and operations; and much more | 677.169 | 1 |
Function Wizard
Description
The Function Wizard is designed to provide a lightweight, fast, and easy to use application that will integrate, differentiate, calculate maxima and minima, etc. basic polynomials, as well as assist in other tedious polynomial | 677.169 | 1 |
Product Description
Follow your child's interests, supplement your standard program, and dig deeper into a specific area of study with Switched-On Schoolhouse Electives! With a variety of subjects and grades available, SOS elective students will enjoy the change of pace and the chance to learn more about topics they're interested in. If your students struggle to see the daily applications of math, show them how useful it can be with SOS Consumer Math! This year-long supplementary course covers personal finances and budgets; taxes and insurance; investments; travel; loans & credit cards; purchasing habits; and other practical applications. Prerequisite of Algebra 1. Includes quizzes and tests.
This is a two-semester course. Grades 9-12 | 677.169 | 1 |
About this product
Description
Description
This new set of pre-Algebra workbooks gives children the confidence and skills they need for advanced mathematics. Using the celebrated Kumon Method, this book helps to establish strong pre-algebra skills, before moving onto Kumon's more advanced Algebra Workbook series. The topics covered in Pre- Algebra Workbook I include; calculations with fractions and decimals, greatest common deminators and least common numbers, exponents and order of operations. | 677.169 | 1 |
One of the claims of the analytical school of western philosophy is that math is reducible to logic, specifically the logic of groups, classes, or sets. In this vein, I can think of no better introduction than Russell's Principles of MathematicsAuthors: Grant, Hardy, Kleiner, Israel Provides a comprehensive overview of the major turning points in the history of mathematics, from Ancient Greece to the present Substantial reference lists offer suggestions for resources to learn more about the topics discussed Problems and projects are included in each chapter to extend and increase understanding of the material for students Ideal resource for students and teachers of the history of mathematics | 677.169 | 1 |
Summary and Info
In the last ten to fifteen years there have been many important developments in the theory of integrable equations. This period is marked in particular by the strong impact of soliton theory in many diverse areas of mathematics and physics; for example, algebraic geometry (the solution of the Schottky problem), group theory (the discovery of quantum groups), topology (the connection of Jones polynomials with integrable models), and quantum gravity (the connection of the KdV with matrix models). This is the first book to present a comprehensive overview of these developments. Numbered among the authors are many of the most prominent researchers in the field. | 677.169 | 1 |
A list of links to useful mathematical textbooks available for free on the Internet.
They are all legal and maintained by their authors or by the legitimate publisher.
All the documents are in English. They are in a printable format - Postscript
or Adobe Portable Document Format. You are free to download, read and print them.
Here are some links to other sites offering lists of free mathematical textbooks | 677.169 | 1 |
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Math Review Duration: 3 days, 2 hours each day Students solve math problems in small groups of 4 or 5 students Math review is led by peer facilitators The accompanying text focuses on short explanations and practice problems After the math review is complete, students retake UTEP's math placement exam
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Placement Before and After Math Review Before After Math Review 2001(n=359) Before After Math Review 2002 (n=386)
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2002 Math Review: Mathematics Course Taken by Students Initially Placing into Intro to Algebra (n=78) | 677.169 | 1 |
Circuit Training - Polynomial Operations
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0.24 MB | 3 pages
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Students will enjoy the scavenger-hunt feel of this activity as they operations on polynomials. This circuit contains problems in which students will add, subtract, multiply, and divide polynomials (long division, no remainders).
Created for my Beginning Algebra (Algebra 1) students and used as a review of polynomial operations before an exam | 677.169 | 1 |
Watch It Grow
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5.93 MB | 32 pages
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Learn how scientists use algebraic expressions to explore the growth of amoebas, euglenas, and bacteria! This informative title challenges readers to master new mathematical concepts like algebraic expression and exponential form. After learning about the microscopic creatures that scientists study, readers can complete related practice problems to familiarize themselves with algebraic expressions. Featuring easy-to-read text, related practice problems, mathematical diagrams, STEM themes, and a glossary and index, this book gives readers the necessary tools to feel comfortable writing, simplifying, and evaluating expressions | 677.169 | 1 |
Computer algebra systems have revolutionized the use of computers within mathematics research, and are currently extending that revolution to the undergraduate mathematics curriculum. But the power of such systems goes beyond simple algebraic or numerical manipulation. In this practical resource Roman Maeder shows how computer-aided mathematics has reached a level where it can support effectively many of the computations in science and engineering | 677.169 | 1 |
A Personal Perspective
Availability: Available to Backorder, No Due Date for Supply, Not for Xmas
Solving Mathematical Problems by Terence Tao
Book Description
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.
Author Biography - Terence Tao
Terence Tao was born in Adelaide, Australia, in 1975. In 1987, 1988, and 1989 he competed in the International Mathematical Olympiad for the Australian team, winning a bronze, silver, and gold medal respectively, and being the youngest competitor ever to win a gold medal at this event. Since 2000, Terence has been a full professor of mathematics at the University of California, Los Angeles. He now lives in Los Angeles with his wife | 677.169 | 1 |
LAUNCHPAD for MATHEMATICS
About the
Course
Following are the features of class;
1) Teach complete syllabus for mathematics also Knowledge (extra classes) of competitive exams to students preparing for boards and scholarship exams to students preparing for boards , Engineering entrance exam or CA-CPT.
2) Regular tests and analysis.
3) Parent teacher meeting.
4) Worksheets (additional problems) for each chapter.
5) Weekly two days classes, can increase as per requirement.
6) Classes can be kept at any location as per convenience of students. | 677.169 | 1 |
-->. For centuries, educational policymakers have believed that studying mathematics is important, in part because it develops general thinking skills that are useful throughout life. This 'Theory of Formal Discipline' (TFD) has been used as a justification for mathematics education globally. Despite this, few empirical studies have directly... more...
Learn how children?s literature can help K?5 students see the real-life applications of mathematical concepts. This user-friendly book shows how to use stories to engage students in building critical reasoning, abstract thinking, and communication skills, all while helping students understand the relevance of math in their everyday lives. Each chapter... more...
Equally appealing to beginners and to the mathematically adept, this book bridges the humanities and sciences to explore applications behind computers, cell phones, measurement of astronomical distance, cell growth, and other areas. Eight fascinating examples show how understanding certain topics in advanced mathematics requires nothing more than arithmetic... more...
Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book examinines what it would take to elevate the place of proving at elementary school. more...
This book is designed to assist students in statistics at all levels. Using a question and answer format, students are guided through the primary aspects of common statistics with emphasis on concepts, writing, and presentation. Instructors will find it a very useful companion to their primary statistics text book. more...
The Process of Learning Mathematics is a collection of essays from a two-term course of intercollegiate lectures for students of B.Ed. degree. This collection starts with two different views on the nature of mathematics. One essay discusses the role of intuition in understanding mathematics, while another paper expounds on the role of logic. This... more...
Mathematical Topics: Mathematics with Understanding, Book 1 focuses on the approaches in teaching mathematics. The book first offers information on the aims of modern approaches in teaching mathematics. The text discusses the language of sets. Set notation, empty, disjoint, and universal sets; union and intersection of two sets; Venn diagrams; and... more...
For over eighty years this delightful classic has provided entertainment through mathematical problems commonly known as recreations. This new edition upholds the original, but the terminology and treatment of problems have been updated and much new material has been added. more...
The aim of this book is to contribute towards literature in the field of mathematics education, specifically the development of 21st century competencies amongst learners of mathematics. The book comprising fourteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies... more... | 677.169 | 1 |
William S. "As far back as high school I was helping classmates with their homework by helping them figure out how to solve the problem--no copying my work! From my time as a teaching assistant I have experience helping students one-on-one with physics. Being a successful physics major also requires mathematical skills from algebra through differential equations and linear algebra.''
Free Educational Resource: Khan Academy
The Khan Academy is a free online educational resource with a mission to provide a world class education to any person who desires one. There are over 3,600 videos covering a wide range of topics from Kindergarten to college level skills. The tutorials are self-paced and they are all free of charge.
Maxima - A Computer Algebra System Web Address: their own words: "Maxima is a system for the manipulation of symbolic and numerical expressions including differentiation integration Taylor series Laplace transforms ordinary differential equations systems of linear equations polynomials sets lists vectors matrices and tensors. Maxima yields high precision numerical results by using exact fractions arbitrary-precision integers and variable-precision floating-point… | 677.169 | 1 |
Ace the Math & Science sections of the ACT with help from The Princeton Review.
Are difficulties with geometry or algebraic problem-solving dragging your ACT score down? If so, this is the workbook for you. Designed for students specifically looking to sharpen their quantitative skills, this 3rd edition of The Princeton Review's Math & Science Workout for the ACT provides the review and practice needed for subject mastery.
Description :
"Designed for students specifically looking to sharpen their quantitative skills, this 3rd edition of The Princeton Review's Math & Science Workout for the ACT provides the review and practice needed ...
Description :
Provides drills, explanations, and practice questions that cover such areas as Math Fundamentals, Algebra, Algebra II, and Geometry, and enables students to achieve higher scores with the Princeton Re... | 677.169 | 1 |
Web Site Webmath.com This is a dynamic math website where students enter problems and where the site's math engine solves the problem. Students in most cases are given a step-by-... Curriculum: Mathematics Grades: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
12.
Web Site Prentice Hall Math Textbook Resources This site has middle school and high school lesson quizzes, vocabulary, chapter tests and projects for most chapters in each textbook. In some sections, ther... Curriculum: Mathematics Grades: 6, 7, 8, 9, 10, 11, 12
Web Site Tutorials for the Calculus Phobe Explore a collection of animated calculus tutorials in Flash format. The tutorials that follow explain calculus audio-visually, and are the equivalent of a p... Curriculum: Mathematics Grades: 11, 12, Junior/Community College, University
Web Site Calculus Applets Discover the new way of learning Calculus. All manipula applets are visual and animation-oriented. Moving figures on the screen will help students to grasp ... Curriculum: Mathematics Grades: 9, 10, 11, 12, Junior/Community College, University
Web Site Online Calculus Tutorials From Algebra Review to Multi-Variable Calculus, this website provides step-by-step tutorials for high school and university students. Curriculum: Mathematics Grades: 10, 11, 12, Junior/Community College, University
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""National Board Certification is a symbol of teaching excellence across the country. My eCoach has allowed our Professional Teaching Development Center to build a true virtual learning community, united through our belief that National Board standards and assessment activities shape highly accomplished teachers and educational leaders. Our Accomplished Teaching and Leadership Team is one- of- a- kind, in an effort to offer a model of collaboration that results in increased learning for kids. I'm thankful to Barbara Bray who brought my vision to life!""
Ronarae Adams
NBCT Program Director
National University - San Diego Headquarters, CA | 677.169 | 1 |
Summary and Info
This book is intended to help students and teachers in first year college mathematics courses who want to use Mathcad as their computer tool. In addition to an introduction to the fundamentals of Mathcad, it covers the following topics; calculus, vector calculus, differential equations and linear algebra. The methods used in calculus and differential equations are mainly symbolical, but sections about numerical solution of differential equations are also included.
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★★★★★★★★★★Calculus and Algebra with Mathcad 20000 out of 5 stars based on 0 ratings. Your Rating: ☆☆☆☆☆★★★★★ | 677.169 | 1 |
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0.71 MB | 12 pages
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Great introduction to Curve Sketching for your students applying what learned about the first and second derivatives. Great for visual learners.
This innovative activity is designed for Calculus 1, AP Calculus , and Calculus Honors. It is an introduction to Unit 3, Applications to the Derivative. In this activity, students analyze and identify graphs based upon a table of values for f(x) and f ′(x).
I use this activity before doing any of the sections in the unit, before extrema, increasing – decreasing, critical values, absolute and relative maximums and minimums. I find it gives students an introduction to the analytical skills needed in this unit. And, since it based upon what they know, it is a very positive exercise for them.
Included:
*Two Sets of Task Cards: There are 15 cards which are color coded with similar problems. A second set identical set is self checking with QR codes printed on the cards.
#1 – 12 Select the graph that best matches a given table.
#13 – 15 Select the table which best matches the given graph.
*Student response sheets
* Answer Key
You do not need an internet connection to use the QR coded cards, but you do need an electronic device with a QR reader app installed.
There are many ways to vary the activity. Use as Task Cards in groups or with stations. | 677.169 | 1 |
The Problem with Math is English: A Language-Focused Approach to Helping All Students Develop a Deeper Understanding of Mathematics
Description Written to inspire ?
* Offers a new way to approach teaching math content in a way that will improve how all students, and especially English language learners, understand math *.
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About Author
Concepcion Molina, Ed.D., is a program associate with SEDL, a private, nonprofit education research, development, and dissemination corporation based in Austin, Texas. Dr. Molina supports systemic reform efforts in mathematics and works to assist state and intermediate education agencies in their efforts to improve instruction and student achievement.
Contents
The Author xiii About SEDL xv About This Book xvii Introduction xix Julian s Story xix Rationale and Purpose xx Who Benefits from This Book? xxii ONE The Problem with Math Is English (and a Few Other Things) 1 Why Language and Symbolism? 1 What We Are Teaching 4 Turning the tide: A Sampling of Approaches 6 Mathematics Is About Relationships 8 Connecting the Pieces and Looking Ahead 9 TWO Why a Language Focus in Mathematics? 11 The Convergence of Mathematics and English: More Than Just Vocabulary 11 Problems Based on the English Language 13 A Number of Problems with Number 16 THREE Language and Symbolism in Traditional Instruction 21 Shortcomings of Traditional Instruction 22 More Language and Symbolism Issues: Adding Fuel to the Fire 32 Tell Me Again Why the Language Focus in Math? 38 FOUR So What Does Conceptual Understanding Look Like? 41 It Starts with Definitions 42 Making Connections in Math: Beyond Connecting Dots 51 The Interpretation and Translation Of Math 55 Conclusion 61 F I V E The Order of Operations: A Convention or a Symptom of What Ails Us? 63 The Roots of the Rules 64 The Natural Order: A Mathematical Perspective 65 Conclusion: A Conceptual Understanding of the Order of Operations 78 S I X Using Multiplication as a Critical Knowledge Base 81 Understanding Key Definitions and Connections 81 Interpreting Multiplication 86 Using The Power of the Distributive Property 88 Feeling Neglected: The Units in Multiplication 100 Conclusion: Small Details, Huge Impact 103 SEVEN Fractions: The F Word in Mathematics 105 Defining Fractions: Like Herding Cats 105 The Fraction Kingdom 107 Interpreting Fractions 116 Conclusion 124 E I G H T Operations with Fractions 127 Adding and Subtracting Fractions 127 Multiplying Fractions 131 Dividing Fractions 150 Conclusion 160 NINE Unlocking the Power of Symbolism and Visual Representation 161 Symbolism 161 Visual Representation 168 The Power of Interpretation: Three Perspectives of Trapezoids 178 Conclusion 187 TEN Language-Focused Conceptual Instruction 189 Language Focus: Beyond the Definitions 190 The Secrets to Solving Word Problems 192 Suggested Instructional Strategies 197 Conclusion 216 ELEVEN Mathematics: It s All About Relationships! 219 Language and Symbolism: Vehicles for Relationship Recognition 220 Relationships and Fractions 224 Proportional Reasoning 227 Relationships: Important Considerations 230 Relationships: Making Powerful Connections 234 Conclusion 249 TWELVE The Perfect Non-Storm: Understanding the Problem and Changing the System 251 A Systemic Issue 251 Math Makeover 257 Conclusion 264 Bibliography 267 Index 269 | 677.169 | 1 |
Editors: Bartel, A., Clemens, M., Günther, M., ter Maten, E.J.W. (Eds.) Covers topics in scientific computing in electrical engineering from both academia and industry, as well as mathematics and electrical engineering perspective Shows state of the art in SCEE Includes advanced topics of MOR and UQ in methodology
Programming-oriented course on effectively using modern computers to solve scientific computing problems arising in the physical/engineering sciences and other fields. Provides an introduction to efficient serial and parallel computing using Fortran 90, OpenMP, MPI, and Python, and software development tools such as version control, Makefiles, and debugging.
Authors: Holmes, Mark H. MATLAB codes used for all of the numerical methods are available from author's website Extensive coverage of optimization methods including regression, both principal and independent component analysis, and variational calculus Directed towards problem solving that incorporates the mathematical foundations of the subject | 677.169 | 1 |
A Mathematician Comes of Age (Spectrum)
Description
This book is about the concept of mathematical maturity. The goal of a mathematics education is to transform the student into a mathematically mature individual who treats mathematical ideas analytically and can control and manipulate them effectively. At the heart of the endeavour to solidify this loosely defined but widely acknowledged concept is the privileged position of mathematics as a pure science. The book provides background, data and analysis for recognising and nurturing aspects of mathematical maturity, such as the ability to analyse and communicate abstract ideas, criticise and construct proofs, and move from intuitive to rigorous reasoning. It turns the idea of mathematical maturity from a topic for coffee-room conversation to a topic for analysis and serious consideration. This book will be of interest to anyone, at any level, who wants to be an effective mathematics teacher.
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About Author
Steven G. Krantz is a Professor of Mathematics at Washington University, St Louis, where he has served as Chair of his department. He has previously taught at the University of California, Los Angeles, Princeton University and Penn State University, having received a PhD from Princeton in 1974. Krantz has directed numerous PhD and Masters students and is the recipient of the UCLA Alumni Foundation Distinguished Teaching Award, the Chauvenet Prize and the Beckenbach Book Award. He was recently inducted into the Sequoia High School Hall of Fame. Krantz is currently the Editor of the Notices of the American Mathematical Society. | 677.169 | 1 |
, GCSE Maths Practice Book: Use and Apply Standard Techniques is full of expertly written practice questions to help students become confident and fluent in maths. | 677.169 | 1 |
Identifying Functions Practice Worksheet
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1.01 MB | 4 pages
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Identifying Functions Independent Practice
This is an excellent resource to quickly review IDENTIFYING FUNCTIONS in YES/NO format. There are 20 problems with a variety of multiple representations of function relations: tables, mapping diagrams, graphs and ordered pairs.
This resource also works well as a homework assignment as it does not require students to need access to a graphing calculator.
*************************************************************************** This Marie.DLR@AlgebraAccents | 677.169 | 1 |
Summary and Info
I'm looking at my poor, mistreated old 4th Edition as I type. What memories it stirs! What despair! What dorm-room walls it was hurled against, on the eves of so many exams, and how I abused and cursed it for being a REFERENCE BOOK and not an INTRODUCTORY CALCULUS TEXTBOOK as my professors fantasized it to be when they required us to buy it! Thank you, faithful friend. We both endured, you and I. At least I didn't fail calculus, and you still have a cover and are legible. Yes, we endured | 677.169 | 1 |
In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes' theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed for any mathematician in need of a refreshingly informal and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematicsModeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It shows how the differential geometric approach is used when the coefficients of partial differential equations (PDEs) are variable in space (waves/plates), when the PDEs themselves are defined on curved surfaces (shells), and when the systems have quasilinear principal parts. | 677.169 | 1 |
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Unformatted text preview: Chapter 10 Eigenvalues and Eigenvectors ___________________________ After reading this chapter, you will be able to 1. Know the definition of eigenvalues and eigenvectors of a square matrix 2. Find eigenvalues and eigenvectors of a square matrix 3. Relate eigenvalues to the singularity of a square matrix 4. Use the power method to numerically find in magnitude the largest eigenvalue of a square matrix and the corresponding eigenvector. _________________________________ What does eigenvalue mean? The word eigenvalue comes from the German word Eigenwert where Eigen means characteristic and Wert means value. But what the word means is not on your mind! You want to know why do I need to learn about eigenvalues and eigenvectors. Once I give you an example of the application of eigenvalues and eigenvectors, you will want to know how to find these eigenvalues and eigenvectors. That is the motive of this chapter of the linear algebra primer. Can you give me a physical example application of eigenvalues and eigenvectors? Look at the spring-mass system as shown in the picture below. Assume each of the two mass-displacements to be denoted by x 1 and x 2 , and let us assume each spring has the same spring constant k. Then by applying Newtons 2 nd and 3 rd law of motion to develop a force-balance for each mass we have ) ( 1 2 1 2 1 2 1 x x k kx dt x d m- +- = ) ( 1 2 2 2 2 2 x x k dt x d m-- = x 1 x 2 m 1 m 2 k k Rewriting the equations, we have ) 2 ( 2 1 2 1 2 1 = +-- x x k dt x d m ) ( 2 1 2 2 2 2 =-- x x k dt x d m 15 , 20 , 10 2 1 = = = k m m Let ) 2 ( 15 10 2 1 2 1 2 = +-- x x dt x d ) ( 15 20 2 1 2 2 2 =-- x x dt x d From vibration theory, the solutions can be of the form Sin A x i i = ( 29 /- t where i A = amplitude of the vibration of mass i = frequency of vibration / = phase shift then ) ( 2 2 2 /-- = t Sin w A dt x d i i Substituting i x and 2 2 dt x d i in equations,-10A 1 2 15(-2A 1 + A 2 ) = 0-20A 2 2 15(A 1- A 2 ) = 0 gives (-10 2 + 30) A 1 15A 2 = 0-15A 1 + (-20 2 + 15) A 2 = 0 or (- 2 + 3) A 1 1.5A 2 = 0-0.75A 1 + (- 2 + 0.75) A 2 = 0 In matrix form, these equations can be rewritten as = +--- +- 75 . 75 . 5 . 1 3 2 1 2 2 A A = - -- 75 . 75 . 5 . 1 3 2 1 2 2 1 A A A A Let 2 = [ ] -- = 75 . 75 . 5 . 1 3 A [ ] = 2 1 A A X [A] [X] - [X] = 0 [A] [X] = [X] In the above equation, is the eigenvalue and [X] is the eigenvector corresponding to . As you can see that if we know for the above example, we can calculate the natural frequency of the vibration = Why are they important? Because you do not want to have a forcing force on the spring- mass system close to this frequency as it would make the amplitude A i very large and...
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Linear and Exact Differential Equations. Chris Tisdell UNSW Sydney
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Linear and Exact Differential Equations. Chris Tisdell UNSW Sydney
Free ebook This lecture shows how to solve linear and exact differential equations. Techniques include: integrating factors; the product rule and the chain rule.Such equations are important in modelling and are seen in first year university mathematics. | 677.169 | 1 |
Fixed Income Mathematics
An introduction to common fixed income instruments and mathematics, this book offers explanations, exercises, and examples without demanding sophisticated mathematics. Not only does the author use his business and teaching experience to highlight the fundamentals of investment and management decision-making, but he also offers questions and exercises that suggest the applicability of fixed income mathematics. Written for the reader with a general mathematics background, this self-teaching book is suffused with examples that also make it a handy reference guide. It should serve as a gateway to financial mathematics and to increased competence in business analysis.
* An easy-to-understand introduction to the mathematics of common fixed income instruments
* Offers students explanations, exercises, and examples without demanding sophisticated mathematics
* Uses international comparisons to illustrate how interest is compounded | 677.169 | 1 |
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