## Math 54 (Fall 2018, Lecture 001, Discussion 105 and 115) Homepage

This is an webpage for Discussion section 105 and 115 of CT's Math 54, Fall 2018. This webpage is operated by Dong Gyu Lim.

Office Hours : Tuesday 10am - 11am AND Wednesday 11am - 12pm at 745 Evans

Section Score will be calculated by Attendance(w/Participation) (20%) + Homework (30%) + Quiz (50%).
Section (letter) Grade will be decided according to your Section Score. Each letter grade will be given to 2 or 3 students.
Roughly: 2 A+, 2 A, 2 A-, 3 B+, 3 B, 3 B-, 2 C+, 2 C, 2 C-.

List of Quizzes (Each number on the right is the average.)

Quiz 1 (8.8, 7.85), Quiz 1 sol

Quiz 2 (7.59, 9.2), Quiz 2 sol

Quiz 3 (105) (5), Quiz 3 (115) (6.23)

Quiz 4 (105) (6.9), Quiz 4 (115) (7.65)

Quiz 5 (105) (6.89), Quiz 5 (115) (7.67)

Quiz 6 (105) (7.72), Quiz 6 (115) (7.6)

Quiz 7 (105) (7.82), Quiz 7 (115) (7.11)

Quiz 8 (105) (4.9), Quiz 8 (115) (6.89)

Sadly, we are getting out of Linear Algebra. You know, it was like HEAVEN.
Differential Equations part Begins!

Quiz 9 (105) (7.5), Quiz 9 (115) (8.06)

Quiz 10 (105) (4.64), Quiz 10 (115) (5.71)

Quiz 11 (105) (6.75), Quiz 11 (115) (6.64)

Quiz 12 (105) (8.13), Quiz 12 (115) (7.61)

Review session (December 6)

Here is the highly non-organized review session HANDOUT. There are 52 problems and, coincidentally, my birthday is May 2!
Here is the ANSWER KEY. All possible mistakes are on me. Please email me if you find something wrong.

Some Graphs about Taylor Series, Fourier Series, Fourier Sine Series, and Fourier Cosine Series:

Taylor series for exponential function (Classical but most important)
Taylor series for sine function and cosine function (Also classical)

For Fourier series, the interval matters a lot! Try to figure out what L is, sometimes it is 1 or 1/2 or pi or 2pi.
Fourier series for y=x (Simplest among Fourier)
Fourier series for a step function (Second simplest among Fourier)
Fourier series for a laptop-side-view function (First example of non-symmetric) and here is the same thing but up to N=40. It also looks like a very thin sofa or an extremely inclined chair(?).
Comparison of three types of Fourier series for y=-x^9+x+1 (It's just a randomly picked function)
Comparison of three types of Fourier series for y=x^2-x+1 (Also a randomly picked function)

Here is the pdf file.

If you are looking for some (useful or not) sources for this course, there is my Math 54 Summer 2014 course webpage : Go back and then click Math 54 (Summer 2014). You also have Math 54 (Fall 2014) discussion section webpage.