Instructor in Charge: | Colin Macdonald (also Section 105 instructor) |

Email: | cbm (at) math ubc ca |

Office: | LSK 303c |

Section 105 Office Hours: |
click here. |

Section 105 Lectures: | MWF 11:00-11:50 - location: LSK 200 |

Sections: |
Section 101 Jim Bryan Section 102 Can Selçuk Section 103 Adam Gyenge Section 104 Mark Mac Lean Section 105 Colin Macdonald |

Information about the textbook, the topics, the marking scheme, and policies can be found in the
Course Outline.

A detailed weekly 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 new Canvas system. Much of the info below is being migrated to Canvas.

There is help available at the
** MATHEMATICS LEARNING CENTRE (MLC)**,
a drop-in tutorial centre for undergraduate
Math courses
located in the Leonard S. Klinck (LSK)
Building. It is usually open Monday through Friday, check website above for details.

We are the using the UBC textbook CLP–III Multivariable Calculus by Joel Feldman and Andrew Rechnitzer. It is freely downloadable 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 two kinds of graded homework: weekly WeBWorK and less-frequent written assignments. Both types of assignment will usually be due on Fridays at 11:00 a.m., with the first due on Friday September 14.

WeBWorK assignments must be accessed from within Canvas. For most problems, you will have an unlimited number of attempts and will not be penalized for incorrect attempts, so you can continue to work until you have it correct.

There will be written homework assignments, due roughly every two weeks at beginning of class at 11:00 on Fridays, which will be graded. The assignments will be listed in the weekly schedule below. Late assignments will not be accepted.

**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.

Reload this page regularly for updates.

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

Due **Wednesday** Sept 12, 5:00pm:
WeBWorK Assignment 0
(does not count directly for a grade, intended to get you used
to WeBWorK). No written assignment this week.

Practice problems from the alternate text "APEX Calculus 3:

**Apex10.1:** 7, 9, 11;

**Apex10.2:** 2, 3, 7, 11, 21, 23;

**Apex10.3:** 5, 7, 15, 17, 21, 27.

Practice problems from the alternate text "Multivariable Calculus, Stewart, 7th Ed":

**Ste12.1:** 1-15 (odd), 19a, 23, 27, 29, 33, 35, 37, 41, 43;

**Ste12.2:** 1, 3, 5, 9, 11, 13, 19-31 (odd), 35, 37, 39, 41;

**Ste12.3:** 1, 3, 5, 7, 11, 13, 15, 19, 23, 25, 27, 35, 37, 47, 57.

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

Due Friday Sept 14 11:00am:
WeBWorK Assignment 1.

No written assignment this week.

Practice problems: WeBWorK Assignment 1 Optional.

Practice problems from "APEX Calculus":

**Apex10.4:** 7, 13, 15, 17, 21, 31, 33, 35;

**Apex10.5:** 5, 9, 15, 19, 25, 27, 29, 31;

**Apex10.6:** 3, 7, 9, 13, 19, 25, 27, 29;

Practice problems from "Stewart":

**Ste12.4:** 1, 3, 7, 9, 11, 15, 23, 25, 41;

**Ste12.5:** 1, 3, 5, 13, 19, 25, 27, 31, 33, 43, 45, 49, 57, 61;

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

Note: The epsilon-delta arguments of continuity in 2.1 are not examinable.

Due Friday Sept 21 11:00am:
WeBWorK Assignment 2.

Written Assignment 1: **TBA**.

Practice problems:

WeBWorK Assignment 2 Optional.

Practice problems from "APEX Calculus":

**Apex10.1:** 15, 17, 21, 23, 25, 27, 29, 31.

**Apex12.1:** 7, 10, 11, 13, 15, 17, 19, 21, 23, 27, 29, 31.

Additional practice problems from "Stewart":

**Ste12.6:** 1-9 (odd), 11, 13, 15, 21-28, 29, 33, 35, 41, 50.

**Ste14.1:** 1, 3, 5, 11-19 (odd), 23, 30, 35, 37, 39-45 (odd), 55, 57, 59, 61, 63.

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

Due Friday Sept 29 11:00am:
WeBWorK Assignment 3.

No written assignment this week.

Practice problems:

WeBWorK Assignment 3 Optional.

Linear approximation, tangent plane (2.5, 2.6)

Due Friday Oct 5 11:00am:
WeBWorK Assignment 4.

No written assignment this week.

Practice problems:

WeBWorK Assignment 4 Optional.

Directional derivatives and gradient

No assignments due this week.

**Midterm 1, October 10, held in class.**

Directional derivatives and gradient continued, Tangent planes via the normal, Maximum and minimum values, Lagrange multipliers.

Lagrange multipliers, double integrals over rectangles, iterated integrals

Iterated integrals continued, double integrals

Double integrals in polar coordinates, applications

No assignment due this week.

**Midterm 2, November 14, held in class.**

Surface area, triple integrals

Triple integrals in cylindrical and spherical coordinates.

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