Today’s lecture notes: wk7day15 More word problem examples for separable ODEs. Worthy of attention are the picture explanation of the solution of an IVP. We also started sequences today (Section 11.1 in textbook).

Today’s lecture notes: wk7day15 More word problem examples for separable ODEs. Worthy of attention are the picture explanation of the solution of an IVP. We also started sequences today (Section 11.1 in textbook).

Posted in Lecture

Today we covered moments & centre of mass (found in Sec 8.3 of textbook, ignore hydrostatic pressure / force and theorem of Pappus) and started the topic of ordinary differential equations (ODE, found in Sec. 9.3). We briefly discussed how…

If you haven’t received my email about Quiz 2 postponing to today (announced on this weblog though), please check your junk/spam folder. If found, add my email address to your address book / contact list. Otherwise, send me an email…

Posted in Quiz & Midterm

After doing an extra example and out-syllabus talk on approximate integration, I ran out of time for my last example. Attached here please find the lecture notes with 2 extra pages: wk6day13. We covered everything about improper integrals, but the…

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Homework #5 was posted a week ago too, but the link did not appear in the white menu page.

Posted in Homework

Today we reviewed the Midpoint Rule and covered the Trapezoidal and Simpson’s Rule. The Trapezoidal Rule replaces rectangle for each sub-interval by a trapezoid whose area equals the average of the left-endpoint and right-endpoint Riemann rectangles: $$ t_i = (l_i…

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That was a colossal mistake! Afraid to tear or wrinkle the edges, I took the quizzes from the top of the midterm pile and put them neatly into an envelope this morning… and FORGOT TO BRING IT! Ooops. Sorry guys,…

Posted in Quiz & Midterm

The solution is also posted now. (Feb 11th, sorry! I forgot to post it during the Chinese New Year weekend…)

Posted in Quiz & Midterm

Today we’ve covered partial fractions, and the notes is here: wk5day11. The examples in the lecture notes are meant to be instructive, but the strategy varies slightly with different rational functions. So here is the full recipe for your reference: partfrac_recipe. Try…

Posted in Lecture