# Math 253 - 2021S Summer Term 1, May–June 2021

 Instructor in Charge: Colin Macdonald Email: cbm (at) math ubc ca Office: Hah, not likely! Office hours: TBA on Canvas Lectures: These will be live, and recordings will be available Sections: Many

Information about the textbook, the topics, the marking scheme, and policies can be found in the Course Outline.
A rough syllabus is given below. The material below generally applies to all sections, unless other information has been provided by your instructor.

## General information

This course is using UBC's Canvas system.

### Textbook

We are the using the UBC textbook CLP-III Multivariable Calculus by Joel Feldman, Andrew Rechnitzer and Elyse Yeager. It is free and downloadable at no cost from the link above.

For additional practice problems or for alternate coverage of the material, we suggest APEX Calculus Volume 3 by Gregory Hartman (freely available) and/or "Multivariable Calculus, Stewart, 7th Edition" (traditional textbook).

### Homework

Optional problems: There will be suggested practice problems from the book and other sources which will not be collected or marked for credit.
You are encouraged to do lots of problems, this is the best way to learn the subject.
There will also be optional WeBWorK, which will not count towards your mark for the course. Initially its due date will be the same as the required WeBWorK assignment. Answers will become available at the due date. Optional WeBWorK is can also be accessed until the Final Exam.

Grade change requests: Any requests to reconsider grades (homework, midterm, etc) should include the regrade request form.

Email sent without "253" in the subject is very likely to be ignored.

## Rough outline of course topics

Introduction, three dimensional coordinate systems, vectors, dot product (textbook sections 1.1, 1.2).

Cross product, equations of lines and planes, equations of curves and their tangent vectors (1.2, 1.3, 1.4, 1.5, 1.6).

Cylinders and quadric surfaces, functions of several variables (1.7, 1.8, 1.9, 2.1).

Partial derivatives, chain rule, tangent planes, the differential and linear approximation (2.2, 2.3, 2.4, 2.5, 2.6).

Linear approximation, tangent plane (2.5, 2.6)