Instructor: Malabika Pramanik
Office: 214 Mathematics Building
E-mail: malabika AT math DOT ubc DOT ca
Lectures: Monday, Wednesday, Friday 4-5 pm in Room 100 Mathematics Building.
Office hours: Monday 11 am-12 noon, Wednesday 10-11 am or by appointment.
Main course webpage : See this page for course policies, midterm dates, weekly practice problems, important course announcements and beginning-of-term information.
Teaching Assistant : Chenglong Zou
Office hours (every other week starting the week of January 9) : Tuesday 12:00-1:00 pm at LSK 100C, Fridays 2:30-3:30 pm at LSK 100C.
E-mail: czou AT math DOT ubc DOT ca
The required textbook for this course is Calculus: Early Transcendentals, second edition by Briggs and Cochran. This is the same textbook as used in Math 104 last semester and is available at the UBC Bookstore. This edition comes in three volumes, of which we will be using volumes 2 and 3. The bundle comes with access to some online resources that include a study guide and student solutions manual. Some additional course material may be provided as needed.
The section-specific coursework contitutes 10% of your total grade. Of this, 5% will count towards your clicker grade. The remaining 5% will be based on a combination of in-class quizzes and hard-copy take-home assignments, usually administered every week on a rotating basis. Quiz dates will be announced at least a week in advance on this website and in lecture as well. The take-home assignments will also appear on this website, so stay tuned. The worst quiz grade and the worst hand-in homework assignment grade will be dropped.
The clicker grades are primarily assigned based on participation, not correct answers. However, there may be some clicker sessions during the semester when bonus points will be given for getting an answer right. The worst 2 clicker grades will be dropped. For further information about clickers, see the UBC eLearning and Clicker wiki sites.
There will be an in-class quiz on Wednesday January 11, based on sections 12.1 and 12.2. Quiz 1 solutions and a grading scheme.
There will be an in-class quiz on Wednesday January 25, based on the material covered in class from Jan 13-Jan 23. Specifically, the syllabus for the quiz includes partial derivatives, critical points, various techniques of optimization (local max/min, absolute max/min on closed bounded sets, Lagrange multipliers). Quiz 2 solutions and a grading scheme.
There will be an in-class quiz on Wednesday March 7, based on differential equations, improper integrals and numerical integration. Quiz 3 solutions and a grading scheme.
Homework 1 , to be turned in at the beginning of lecture on Friday January 20. This is in addition to the webwork assignment of this week. Homework 1 solutions
Homework 2 , to be turned in at the beginning of lecture on Friday February 17. This is in addition to the webwork assignment of this week. Homework 2 solutions
Please note that the following files contain only the lesson highlights, and should not be mistaken for class notes. The detailed solutions to problems that we work out in class are not reflected in these slides.
January 13 lecture notes on relative maxima and minima.
January 16 lecture notes on absolute maxima and minima on closed bounded domains.
January 18 lecture notes on absolute maxima and minima on closed bounded domains (ctd) and Lagrange multipliers.
January 20 lecture notes on constrained optimization and Lagrange multipliers.
January 23 lecture notes on Lagrange multipliers and sigma notation.
January 25 lecture notes on definite integrals and their properties.
January 27 lecture notes on Riemann sums and definite integrals.
January 30 and February 1 lecture notes on midterm review.
Frbruary 6 lecture notes on antiderivatives, indefinite integrals and area functions.
February 8 lecture notes on the fundamental theorem of calculus.
February 10 lecture notes on the integration techniques of substitution rule and integration by parts.
February 13 lecture notes on trigonometric integrals.
February 15 lecture notes on trigonometric integrals and substitution.
February 17 lecture notes on partial fractions.
February 27 lecture notes on differential equations and solving first-order equations by separation of variables.
February 29 lecture notes on improper integrals.
March 2 lecture notes on numerical integration.
March 5 lecture notes on numerical integration and Simpson's rule.
March 9 lecture notes on probability and random variables.
March 12 lecture notes on CDF, PDF, expectation and variance.
March 19 lecture notes on sequences.
March 21 lecture notes on sequences and series.
March 23 lecture notes on the divergence and integral tests.
March 26 lecture notes on the ratio test.
March 28 lecture notes on the comparison test.
April 4 lecture notes on review of sequences and series.