Math 100 — Section 109

Math 100 — Section 109
Differential Calculus with Applications to Physical Sciences and Engineering

Instructor: Yaniv Plan
Office: 1219 Math Annex
Email: yaniv (at) math (dot) ubc (dot) ca

Lectures: TTh 9:30-11:00, LSK 200.

Office hours: MW 3:30pm-4:30pm, MATX 1219 Th 5:00pm-6:00pm, MATX 1118

Main course webpage:Â https://canvas.ubc.ca/courses/45798 (A lot of important information here.)

Worksheets: Schedule is tentative. Worksheets (created by Lior Silberman) and solutions will be put up after class.

Week	Date	Material	Reading	In-class	Notes
1	Th 5/9	Introduction Tangents & Velocity Problems Limits	1.1-1.2 1.3	WS 1, Soln	Â
1	T 10/9	Limit laws	1.4	WS 2, Soln	Note on Limits
2	Th 12/9	Limits at infinity Continuity	1.5 1.6	WS 3, Soln	Â
2	T 17/9	(continued) The Derivative I	1.6 2.1-2.2	WS 4, Soln	Â
3	Th 19/9	The Derivative II Product and Quotient Rules	2.3 2.4	WS 5, Soln	Â
3	T 24/9	Derivatives of Polynomials and Exponentials	2.6-7	WS 6, Soln	Â
4	Th 26/9	Trig Functions The Chain Rule	2.8 2.9	WS 7, Soln	Â
4	T 1/10	(continued) Inverse functions	0.6	WS 8, Soln	Â
5	Th 3/10	Logarithms	2.10	WS 9, Soln	Â
5	T 8/10	Implicit Differentiation Inverse Trig	2.11 2.12	WS 10, Soln	Â
6	Th 10/10	Applications	3.1	WS 11, Soln	Â
6	T 15/10	Exponential growth and decay	3.3	WS 12, Soln	Law of cooling problem
7	Th 17/10	Related Rates	3.2	WS 13, Soln	Â
	Th 17/10	Midterm exam	Â	Â	Â
	T 22/10	Taylor Polynomials 1	3.4	WS 14, Soln	Extra notes 1
8	Th 24/10	Taylor Polynomials 2	3.4	WS 15 , Soln	Extra notes 2 Some Taylor expansions
8	T 29/10	Minima and Maxima	3.5	WS 16, Soln	Â
9	Th 10/31	MVT	2.13	WS 17, Soln	Proving an Inequality
9	T 5/11	(continued) Shape of the graph	3.6	WS 18,	WS solutions are with WS 17 above
10	Th 7/11	Curve Sketching	3.6	sketching notes	Â
10	T 12/11	(continued)	3.6	Problems	Â
11	Th 14/11	Optimization	3.5	WS 21, Soln	Snell’s Law
11	T 19/11	l’H pital’s rule	3.7	WS 22, Soln	More l’H pital examples
12	Th 21/11	Antiderivatives	4.1	WS 23, Soln	Â
12	T 26/11	Review	Review	Review	Â
13	Th 28/11	Review	Â	Â	Â
Â	TBA	Final Exam: TBA	Â	Â	Final exams from previous years. And solutions.

Resources:

Tutoring: I suggest to try several tutors to see who works for you, below are two sources.
- Math Learning Centre. (MLC for short) A space for undergraduate students to study math together, with friendly support from tutors, who are graduate and undergraduate students in the math department. The MLC is located at LSK301 and LSK302. Every undergraduate student studying Math is welcome there! In the MLC, students may join the study groups if students wish to. Please note that while students are encouraged to seek help with homework, the MLC is not a place to check answers or receive solutions, rather, the aim is to aid students in becoming better learners and to develop critical thinking in a mathematical setting. For additional information please visit the website.
- AMS Free Tutoring. Your Student Society offers free tutoring services. I recommend to first try the MLC, since that is specialized for math.
Piazza: An online forum for the class. I encourage you to ask questions here, and to check here for answers to questions you may have, which will often be written by other students. To register, check the main course webpage.
Extra problems: You learn math by doing problems. The CLP problem book is mostly taken from past exams and quizzes for this class. Can you solve them
Textbook: Here, it’s free and designed for this class by UBC Math faculty Joel Feldman, Andrew Rechnitzer and Elyse Yeager.
Mobile textbook, including the extra problems: Here, why not study and try some problems on the bus using your mobile?
Friends: To make a study group you can meet in class, or at the MLC, or through Piazza. Just make sure you think about the problems yourself before discussing them together.
Office hours: Come to my office hours and I will try to help you learn. I particularly like questions of the form, “Can you help me understand this concept “
Math department website: here. In particular, you can find old exams here.
Supplementary texts:
- Mooculus (Links to an external site.)Links to an external site. (by Fowler and Snapp). Their site also has links to video lectures (Links to an external site.)Links to an external site. which you might find useful.
- APEX Calculus Vol. I (Links to an external site.)Links to an external site. (by Hartman et al)
- Active Calculus (Links to an external site.)Links to an external site. (by Boelkins, Austin and Schlicker)
- MIT Calculus (Links to an external site.)Links to an external site. and MIT Video Lectures (Links to an external site.)Links to an external site.

Math 100 — Section 109Differential Calculus with Applications to Physical Sciences and Engineering

Math 100 — Section 109
Differential Calculus with Applications to Physical Sciences and Engineering