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+ If time permits, watch the recent Apple event, and as you do, pay close attention to the different speakers: https://www.apple.com/sg/apple-events/Links to an external site. . Focus on their postures and gestures in particular.
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+ This time, there is no auditorium, so the speakers are standing still while delivering their presentations. You’ll see that one speaker subtly shifts his weight, while another struggles to stay still, fidgeting slightly as if he has too much energy. Pay special attention to how the speakers, especially the first, employ gestures that reinforce their verbal message, making their points more impactful.
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+ To keep the presentation dynamic, Apple frequently changes the scenery for each speaker, adding a sense of "movement." Additionally, the camera moves ever so slightly during their talks, further enhancing this effect. Overall, the presentation is professional, showcasing Apple's polished approach.
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+ Aim to incorporate the same level of polish in your own presentations. Notice how the seamless transitions between different speakers add a layer of dynamism, even when they are standing still. Changing speakers not only keeps the audience engaged but also injects a sense of "movement" into the presentation. You can apply this in your group presentations, especially if you have more than one clicker. Additionally, consider moving individually within the presentation venue, as this helps maintain audience attention and make your delivery feel more natural. By coordinating with your group members and utilizing these transitions and movements effectively, you can create an engaging and professional delivery that mirrors the polished approach Apple demonstrates.
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+ Thank you for paying attention and contributing to the intense lecture today! I promise that our coming weeks will not be as intense.
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+ In addition, I've updated the rubric for classroom participation to distinguish between 'verbal and vocal engagement' and 'non-verbal presence'. Please take a look at the PDF in Files > Rubrics.
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+ If you have not already done so, please review the changes in OpenAI o1: https://openai.com/index/learning-to-reason-with-llms/Links to an external site.
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+ AI is advancing rapidly, so it's crucial to stay updated and learn to use AI tools effectively and responsibly. The most important skill you need is judgment. As a user, you'll be responsible for assessing the reasonableness and validity of AI outputs to ensure they meet required standards. In this course, use AI to assist in your learning process, such as coding in MATLAB, and take the opportunity to become proficient with AI.
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+ We will have our quiz on Wednesday, October 30, during week 11, from 09:00 to 09:45 in our usual classroom.
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+ The quiz will be closed-book, so please bring only a pen and a calculator.
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+ It will cover all topics up to and including the numerical solution of initial-valued problems. You should be able to solve problems numerically using paper and pen, as well as write short, concise MATLAB code for a numerical method. Additionally, to assess your independent learning, you might be asked to use a numerical method we haven't covered; for example, you may need to solve it using paper and pen, interpret MATLAB code, and/or write MATLAB code for a new numerical method. I recommend practicing writing short, compact MATLAB codes on your own without assistance from AI. Use paper-and-pen solutions to verify your MATLAB codes, working through one or two examples for each numerical method we've covered. Once you have tried or completed this, check your work with AI to see if your code can be refactored and improved. You can find source codes on CANVAS as well as in some of our tutorial notes. The codes used in this course are designed to be short, compact, and easy to follow.
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+ All equations related to our numerical methods will be provided during the quiz, except for the following, which you need to learn by heart:
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+ Error propagation
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+ Bisection method
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+ Newton-Raphson's method for one equation and a system of equations
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+ Before you submit your assignment, please consider the following guidelines, which address questions I have received after class:
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+ Upload one MATLAB live script (.mlx), and if you have a lot of data that requires a separate file, include one additional data file.
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+ No user input: Please ensure your code does not prompt for any user input, as I will run your script from start to finish by pressing 'F5' in MATLAB.
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+ Test your code: Before uploading, check that you can run your script without any errors.
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+ Content: Please include enough details to ensure your experiment can be reproduced. This might include a few photos, a table with raw data (or reading from a data file if you have too much data), and some context. Visualize your data with boxplots and provide a brief analysis of your results. I recommend MATLAB’s built-in functions for the analysis. It’s perfectly fine if you don’t discard the null hypothesis—provide a brief explanation of your outcome, whatever it may be. The actual MATLAB code will likely be fairly short, while the text portion may be longer, especially for the essay and background. How much you choose to write is entirely up to you—my only request is that you feel satisfied with your work.
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+ Don't overwork: Don't spend too much time on the assignment! Focus your energy on preparing for the quiz (practice writing your own MATLAB codes) and your group project.
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+ Good luck, and I look forward to seeing your work!
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+ I have randomly selected and reviewed several assignments and would like to offer everyone the option to resubmit, if desired, to avoid having marks deducted. Please note that I will deduct three marks for each of the following items:
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+ No normality test conducted on your experimental data (if you are using linear regression, refer to "Linear Regression Analysis: Theory and Computing" by Xin Yan; also, watch my online lecture and tutorial on hypothesis testing for examples for normality tests).
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+ Submitted file is not in the correct format; I require a MATLAB live script, not a PDF.
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+ No statistical test or p-value provided. If you have used a p-value, it must be clearly quantified and not embedded in a graph. Simply looking at boxplots or figures is not sufficient evidence.
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+ Note that the null hypothesis is the default assumption, stating that there is no effect, difference, or relationship in the population being studied. In contrast, the alternative hypothesis posits that there is an effect, difference, or relationship. I will not deduct marks for "strange" null hypotheses; however, I encourage you to avoid making them. I also recommend checking my lecture and tutorial on hypothesis testing to see if you can simplify your experiment.
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+ Let's set the resubmission deadline to November 17 for those who wish to do so.
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+ Great job on a tough quiz! I aim to finish marking by late tomorrow and will upload your grades to CANVAS then. I’ll also bring the scripts with me in both weeks 12 and 13: you are welcome to come see me after the presentations if you'd like to review or discuss your answers and marks. I’ll upload the quiz solutions later this week.
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+ Here is some initial feedback and how I award marks:
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+ Q1a. Five marks are given for identifying the integral as improper. Many of you answered "definite integral," but I was specifically looking for "improper integral." You can find this concept explained in your calculus books, not just in our numerical methods course. I thought I would share that marking this question brought a smile to my face when I learned "improper integral" in Finnish from one of you: epäoleellinen integraali! The musicality of Finnish makes the phrase even more delightful to say. Now you know, too! 😊
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+ Q1b. This was the most challenging question, asking you to interpret and use a new numerical method for improper integrals. I award marks for identifying (4 marks) and applying (2 marks) Composite Simpson's method, estimating error (2 marks), and providing a final answer with an error in line with our guidelines (2 marks). I saw some creative alternative approaches, but please avoid using them, as we have more rigorous numerical methods. Alternatively, MATLAB's "integral" function can handle most improper integrals.
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+ Q2. This was another challenging question, requiring you to adapt your Newton-Raphson solver for nonlinear systems to work with Jacobi’s iterative method (or any other iterative solver). Some of you used the inverse of the Jacobian instead of the "\" operator—while creative, this approach is not recommended, as it can lead to inaccurate results and numerical instability (which is why we used "\" in our original Newton-Raphson solver). I award marks for identifying the Jacobian (2 marks), providing reasonable MATLAB code (10 marks), presenting clear pseudo code (8 marks), and for any attempt at coding or analysis (3-4 marks). Your answers do not have to include both the Newton-Raphson and Jacobi methods, as many of you demonstrated creative alternatives beyond my expectations. Well done! One reminder: when writing about numerical methods, be sure to name the methods rather than only providing code.
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+ So far, the average score is 15 marks, with the top score being 25.
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+ P.S. Your creative ideas in the quiz are inspiring. Now, I truly look forward to your group presentations in weeks 12 and 13, where you will present your study and narrative on bioimpedance based on numerical methods—perhaps the finite element method in MATLAB, which is commonly used for solving partial differential equations. This method, along with the techniques we have learned in class, provides a solid coverage of numerical methods in general. We will continue to use the finite element method in ESP2106.
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+ Great work on your presentations! I am pleased with the overall effort and quality.
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+ Well done!
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+ I’ve finished marking the quiz, and your scores are available on CANVAS. The class average is 14.5, which is strong considering the quiz's difficulty level. One student achieved 27 marks, an incredible result. As mentioned in my previous announcement, I'll bring the scripts with me in weeks 12 and 13 for anyone with questions about their marks.
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+ Please take a moment to read "ESP2107 Quiz with Solutions 2024.pdf," available on CANVAS under Files > Old Final Exams and Quizzes. In this document, I've summarized my feedback, advice, and solutions.
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+ If you're concerned about the assignment—whether it's that your code occasionally doesn't work as expected or that you may not have presented exactly what I'm looking for—I'll be available after class in or near the lecture theatre in weeks 12 and 13. You can run your code for me live, and I'll assess it on the spot, letting you know if any improvements are needed for full marks (will take around 1 min/person). The goal is for everyone to achieve full marks on the assignment.
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+ Thank you for the group presentations today! I'll be sharing detailed feedback once all presentations are complete in week 13, but I wanted to take a moment to thank today's speakers. I especially enjoyed the positive energy and expressive body language that really brought your narratives to life.
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+ Looking forward to the week 13 presentations!
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+ Please complete the following individual tasks:
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+ Complete the quiz on classroom participation. It's a short survey that should only take a few minutes.
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+ Complete the quiz on group project participation. Another quick survey.
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+ Complete the survey on course learning outcomes. A final quick survey.
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+ We also have one final group task after we are done with all group presentations on Wednesday:
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+ Rank the top five project groups (excluding your own group) with the other group members in your group and upload to CANVAS. Provide a short justification for your ranking.
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+ Just a friendly reminder: attendance is required for our final group presentations, as each group will be ranking the others as part of the examination process. Looking forward to seeing everyone there on time!
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+ Great work on your presentations! I am pleased with the overall effort and quality.
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+ I've uploaded all group presentations to Week 13 on Canvas, which should help you as you rank the top five groups. In the meantime, take a moment to reflect on your vocal, verbal, and visual delivery during your presentation. I'll provide more detailed feedback once marking is complete. Meanwhile, you may find it helpful to review the rubric located on Canvas under Files > Rubrics > Rubric for Group Presentations.pdf for additional guidance.
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