Instructional team: |
TBA |

Instructor-in-Charge: |
Colin Macdonald |

Email: | cbm (at) math ubc ca |

Office: | Maybe. |

Office hours: | TBA on Canvas |

Lectures: |
Live stream online. |

Information about the textbook, the topics, the marking scheme, and policies can be found in the Course Syllabus (ver2). A rough syllabus is given below. The material below generally applies to all sections, unless other information has been provided by your instructor. This course is using UBC's Canvas system.

Math 253 will be offered *primarily online*.
We will have live lectures which we expect you to attend in a
synchronous fashion. We will take questions during lectures. We
will endeavor to record the lectures for later review.
There will be in-class synchronous assessments.
Please be aware the final exam will be written in-person as per UBC
guidelines.

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).

There will be graded homework using WeBWorK and PrairieLearn.

**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. Email contact information TBA.

- Introduction, three dimensional coordinate systems, vectors, dot product
- Cross product, equations of lines and planes, equations of curves and their tangent vectors
- Cylinders and quadric surfaces
- Functions of several variables, limits and continuity
- Partial derivatives
- The chain rule
- Tangent planes and normal lines
- The total differential and linear approximation
- Directional derivatives and gradient.
- Maximum and minimum values.
- Lagrange multipliers.
- double integrals over rectangles, iterated integrals
- Double integrals and applications
- Double integrals in polar coordinates, applications
- Surface area, triple integrals
- Triple integrals in cylindrical and spherical coordinates.

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