Lior Silberman: Differential Calculus

General Information

Office: MATX 1112, 604-827-3031

Email: "lior" (at) Math.UBC.CA (please include the course number in the subject line, if applicable)

Office hours (Fall 2024): after class (W 10:00-10:30 at the ESB atrium, W 14:00-14:30 at WW IRC Atrium), M 10:30-11:30 in my office, and by appointment.

This is the page for information specific to section 102. The course-wide website contains details on the textbook, homework, midterms and finals, course objectives and policies and the like.

Classes: TTh 8:00-9:30, MATH 100

See the Lecture-by-lecture schedule for pre-class reading information, worksheets and more.

Final grades will be computed as follows: (see also discussion of scaling on the cousre-wide page)

(10%) online homework (WeBWorK)
(20%) Midterm 1
(20%) Midterm 2
(50%) Final exam

The Math Learning Centre is open Monday through Friday.

Here are some Common Errors in Undergraduate Mathematics. Avoiding these common pitfalls will improve your grade measurably.

Here are notes on geometry and trigonometry describing what we expect you to know (memorize) or be able to derive during exams. The notes also include things you don't need to know but may find interesting.

Final Exam

The final exam will be held on Friday, December 5th between 15:30-18:00. Our section is divided between Room1 and Room2 of the Room2 of the Woodward building. Make sure to check which room you need to go to.

I will hold special office hours next week: Monday, 10:00-12:00, Tuesday 13:00-15:00, Wednesday 10:00-12:00.

Midterm 2

The midterm will be held in-class on Tuesday, November 4th. It will cover the material of weeks 4-7, up to the end of the discussion of Taylor series on Oct 23. Of course, we will use also the techniques of weeks 1-3, especially techniques of differentiation.

Here's a practice midterm and its solutions. It is best to give yourself 45 minutes and work through the whole practice midterm to get used to the required pace.

See the midterm 1 information for additional sources of practice material.

For example, here are my 2010 sample midterm (solutions) and midterm (solutions).
WARNING: these are hard; also maxima and minima are not included in midterm 2 this year.

Exams and solutions for all sections are now posted.

Midterm 1

The midterm will be held in-class on Tuesday, September 30th. It will cover the material of weeks 1-3 (see the table below).

Here's a practice midterm and its solutions. It is best to give yourself 45 minutes and work through the whole practice midterm to get used to the required pace; don't look at the solutions until you are done.

For further exam-style problems try: UBC Math Exam Wiki, past final exams in Math 100/180,102,104/184, and search for past midterms in this course.

Here are my 2010 sample midterm (solutions) and midterm (solutions).
WARNING: format, difficulty and material change somewhat from year to year (for example, that year's midterm included the chain rule, and turned out hard).

Exams and solutions for all sections are now posted.

Course Schedule

Week	Date	Material	Reading	Worksheet	Notes
1	Th 4/9	Introduction Limits	§2.1 §2.2	WS 1
T 9/9	Calculation of Limits	§2.3	WS 2	Note on Limits
2	Th 11/9	Continuity	§2.5	WS 3
T 16/9	Horizontal Asymptotes	§2.6	WS 4, Soln
3	Th 18/9	The Derivative Polynomials and exponentials	§§2.7-2.8 §3.1	WS 5	Survey Ad
T 23/9	Product and Quotient Rules Trig Functions	§3.2 §3.3	WS 6
4	Th 25/9	The Chain Rule Inverse functions	§3.4 §1.6	WS 7
T 30/9	Midterm 1			Midterm 1
5	Th 2/10	Implicit Differentiation	§3.5	WS 8
T 7/10	Logarithms	§3.6	WS 9
6	Th 9/10	(continued) Applications	§3.6 §3.7	WS 10, Soln
T 14/10	Exponentials	§3.8	WS 11, Soln	Law of cooling problem
7	Th 16/10	Related Rates Linear Approximation	§3.9 §3.10	WS 12	CLASS
T 21/10	Taylor Polynomials 1	Course Notes §1	WS 13
8	Th 23/10	Taylor Polynomials 2	Course Notes §2		Some Taylor expansions
T 28/10	Minima and Maxima	§4.1	WS 15
9	Th 30/10	MVT	§4.2	WS 16	Proving an Inequality
T 4/11	Midterm 2			Midterm 2
10	Th 6/11	Shape of the graph	§4.3
Th 13/11	Curve Sketching	§4.5	Problems
11	T 18/11	Optimization	§4.7		Snell's Law
Th 20/11	l'Hôpital's rule	§4.4	WS 20	More l'Hôpital examples
12	T 25/11	Antiderivatives	§4.9	WS 21
Th 27/11	Review
	TBA	Final exam

Week

Date

Material

Reading

Worksheet

Notes

Th 4/9

Introduction
Limits

§2.1
§2.2

WS 1

T 9/9

Calculation of Limits

§2.3

WS 2

Note on Limits

Th 11/9

Continuity

§2.5

WS 3

T 16/9

Horizontal Asymptotes

§2.6

WS 4, Soln

Th 18/9

The Derivative
Polynomials and exponentials

§§2.7-2.8
§3.1

WS 5

Survey Ad

T 23/9

Product and Quotient Rules
Trig Functions

§3.2
§3.3

WS 6

Th 25/9

The Chain Rule
Inverse functions

§3.4
§1.6

WS 7

T 30/9

Midterm 1

Th 2/10

Implicit Differentiation

§3.5

WS 8

T 7/10

Logarithms

§3.6

WS 9

Th 9/10

(continued)
Applications

§3.6
§3.7

WS 10, Soln

T 14/10

Exponentials

§3.8

WS 11, Soln

Law of cooling problem

Th 16/10

Related Rates
Linear Approximation

§3.9
§3.10

WS 12

CLASS

T 21/10

Taylor Polynomials 1

Course Notes §1

WS 13

Th 23/10

Taylor Polynomials 2

Course Notes §2

Some Taylor expansions

T 28/10

Minima and Maxima

§4.1

WS 15

Th 30/10

MVT

§4.2

WS 16

Proving an Inequality

T 4/11

Midterm 2

Th 6/11

Shape of the graph

§4.3

Th 13/11

Curve Sketching

§4.5

Problems

T 18/11

Optimization

§4.7

Snell's Law

Th 20/11

l'Hôpital's rule

§4.4

WS 20

More l'Hôpital examples

T 25/11

Antiderivatives

§4.9

WS 21

Th 27/11

Review

TBA

Final exam

Back to my homepage.

Clarification: the writings on these pages are generally my own creations (to which I own the copyright), and are made available for traditional academic reuse. If you wish to republish substantial portions (including in "derivative works") please ask me for permission. The material is expressly excluded from the terms of UBC Policy 81.

Last modified Tuesday April 21, 2015

Math 100: Differential Calculus Section 102

General Information

Final Exam

Midterm 2

Midterm 1

Course Schedule

Math 100: Differential Calculus
Section 102