Instructor in Charge: | Dr. Colin Macdonald (also Section 101 instructor) |

Email: | cbm (at) math (dot) ubc (dot) ca |

Office: | LSK 303c |

Section 101 Office Hours: | M 1pm–2pm, W 12:15pm–1:15pm, Th 11am–noon (subject to change) |

Section 101 Lectures: | MWF 11:00-11:50 - location: Math 100 |

Other sections: |
Section 102 Dr Nate Bade Section 103 Dr Mathav Murugan Section 105 Dr Richard Balka |

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 applies to all sections.

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 open long hours Monday through Friday. Check
the MLC website for details.

We are using "APEX Calculus, Version 3.0, Volume 3 (Chapters 9 - 13)".
Sorry, hardcopies *cannot* be purchased from the bookstore,
however, you can buy them from the
author's website
or from online retailers in $CAD.
An electronic copy of this book is also available online at no cost
from http://www.apexcalculus.com.

There will be two kinds of graded homework: WeBWorK and written assignments from the textbook. Both types of assignment will be due on Fridays at 11:00 a.m., with the first due on Friday September 16.

WeBWorK assignments can be
found
here. You will need to log on with your Campus Wide Login. 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. Use the ** email instructor ** button for any questions
(mathematical or otherwise) regarding WeBWorK. The "instructor" is
not your instructor giving lectures, but is
Rob Fraser,
a
teaching assistant helping with WeBWorK.

There will be nine written homework assignments, due at the 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 recommended 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, and then the optional WeBWorK will reopen until the Final Exam.

**Grade change requests:** At least for Section 101, any requests
to reconsider grades (homework, midterm, etc) should include
the regrade request form.

Reload this page regularly for updates.

Introduction, three dimensional coordinate systems, vectors, dot product (10.1 [first 3 pages], 10.2, 10.3)

Due **Wednesday** Sept 14, 5:00pm:
WeBWorK Assignment 0
(does not count for a grade, intended to get you used
to WeBWorK). No written assignment this week.

Practice problems from our text, "APEX Calculus":

**10.1:** 7, 9, 11;

**10.2:** 2, 3, 7, 11, 21, 23;

**10.3:** 5, 7, 15, 17, 21, 27.

Additional practice problems from "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, cylinders, and quadric surfaces (10.4, 10.5, 10.6, 10.1)

Due Friday Sept 16 11:00am:
WeBWorK Assignment 1.
Written Assignment 1: **10.1:** 10, **10.2:** 20, **10.3:** 26, 32.
Solutions.

Practice problems: WeBWorK Assignment 1 Optional

Practice problems from "APEX Calculus":

**10.4:** 7, 13, 15, 17, 21, 31, 33, 35;

**10.5:** 5, 9, 15, 19, 25, 27, 29, 31;

**10.6:** 3, 7, 9, 13, 19, 25, 27, 29;

**10.1:** 15, 17, 21, 23, 25, 27, 29, 31.

Additional 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;

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

Functions of several variables (12.1, 12.2)

Note: 12.2 is not directly examinable.

Due Friday Sept 23 11:00am:
WeBWorK Assignment 2.
Written Assignment 2: **10.4:** 30, **10.5:** 12, **10.6:** 10, **10.1:** 28.
Solutions.

Practice problems:

WeBWorK Assignment 2 Optional

Practice problems from "APEX Calculus":

**10.1:** see last week;

**12.1:** 7, 10, 11, 13, 15, 17, 19, 21, 23, 27, 29, 31.

Additional practice problems from "Stewart":

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

Partial derivatives, tangent planes, the differential, and linear
approximation (12.3, 12.4).

Note the APEX Calculus doesn't do tangent planes until 12.7; we'll
see them again in that style but I think its useful to see them now
because of the close connection linear approximation).

Supplemental notes on Partial Differential Equations (also available as a Jupyter notebook). Includes a few relevant practice problems.

Due Friday Sept 30 11:00am:
WeBWorK Assignment 3.
Written Assignment 3:
**10.1:** 24 (also making 3 separate carefully labelled plots showing the traces y = 2, z = 1 and x = 0),
26 (also making 3 separate carefully labelled plots showing the traces y = 2, z = 1 and x = 0);
**12.1:** 10, 18.
Solutions.

Practice problems:

WeBWorK Assignment 3 Optional

Practice problems from "APEX Calculus":

**12.3:** 7, 9, 11, 13, 19, 25, 27, 29, 31, 33;

**12.4:** 5, 7, 9 (in these first three problems, also give an expression for the tangent plane), 13, 15, 17, 21.

Additional practice problems from "Stewart":

**Ste14.3:** 1, 3, 5, 7, 9, 11, 15-37 (odd), 39, 41, 43, 45, 47, 49, 51-67 (odd), 71, 72, 73, 81, 87;

**Ste14.4:** 1-5 (odd), 11, 13, 15, 17, 19, 25, 27, 29, 31, 33, 37, 41.

Linear approximation, tangent plane (continued), chain rule (12.5).

Due Friday Oct 7 11:00am:
WeBWorK Assignment 4.
Written Assignment 4:
**12.3:** 8, 20;
**12.4:** 14, 22.
Solutions.

**Update:** Some have noted #14 is a bit ambiguous. Replace with
"Is the *distance traveled by the projectile* more sensitive to errors
in initial speed or angle of elevation?"

Regarding #14 (not for the homework, just FYI): repeat this question with length
unit of kilometers, e.g., 250 ft/s = 0.0762 km/s: does your sensitivity analysis
change? Solve the problem once more, assuming the errors in speed and angle are at most 10% of the given values.

Practice problems:

WeBWorK Assignment 4 Optional.

Practice problems from "APEX Calculus":

**12.5: **7, 11, 13, 17, 19, 21, 23, 25, 27.

Additional practice problems from "Stewart":

**Ste14.5:** 1-11 (odd), 13, 17, 19, 21, 23, 25, 27-33 (odd), 35, 39, 45, 51, 53.

Directional derivatives and gradient (12.6)

No assignment due this week.

**Midterm 1**, October 12, held in class.
Solutions to Midterm 1.

**
You must write the test in the section in which
you are registered, and bring your UBC ID card.
No aids of any kind are permitted during the test (no calculators, papers, etc.)**

Midterm will cover up to and including Section 12.4
(omit Section 12.2). Midterm problems will be of the sort you have seen
in: WeBWorK 1-4, Written Assignments 1-4, Practice Problems
up to and including Section 12.4.

**Additional practice material for Midterm 1:**

Here are some old homework assignments with solutions. Not all their problems are relevant, the relevant
problems are as follows:

# 3, 5, 7, 8 of Set 1,

# 1, 2, 3, 4, 5, 6, 7 of Set 2,

# 2, 3, 4, 5, 6, 7 of Set 3,

# 1, 2, 8, 11 of Set 4.

Here are some midterms from previous years:

Midterm 1 2012,
Solutions to Midterm 1 2012,
Midterm 1 2013,
Solutions to Midterm 1 2013,
Midterm 1 2014,
Solutions to Midterm 1 2014,
Midterm 1 2015,
Solutions to Midterm 1 2015.

Practice problems from "APEX Calculus":

**12.6:** (9, 15, 21), (11, 17, 23), 25, 27.

Additional practice problems from "Stewart":

**Ste14.6:** 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 37, 39, 41, 43, 47, 53, 55, 61.

Directional derivatives and gradient continued, Tangent planes via the normal, Maximum and minimum values, Lagrange multipliers (12.6, 12.7, 12.8).

Due Friday Oct 21 11:00am:
WeBWorK Assignment 5.
Written Assignment 5: **12.5**: 8, 14, 24; **12.6**: 8, 14, 20 (in (c) they mean "maximal decrease").
Solutions.

Practice problems:

WeBWorK Assignment 5 Optional.

Practice problems from "APEX Calculus":

**12.7:** 1, 9, 11, 13, 15, 17, 19 21, 23;

**12.8:** 1, 2, 7, 11, 13, 15, 17.

Additional practice problems from "Stewart":

**Ste14.7:** 1, 3, 5-17 (odd) [find critical values only], 19, 29-35 (odd), 39, 41, 43, 45, 47, 49, 51;

**Ste14.8:** 1, 3-17 (odd), 19, 25, 27-39 (odd), 41.

Lagrange multipliers, double integrals over rectangles, iterated integrals.

**Note:** Lagrange multipliers not covered in our APEX text;
see pages
378--383 of this textbook by David Guichard.

Due Friday Oct 28 11:00am: WeBWorK Assignment 6.

Written Assignment 6: **12.7:** 22; **12.8:** 12;
**#3:** Consider f(x, y) = 3(y+1)^{2} - 2x^{2}.
Find and classify the critical points.
Find the absolute maximum and absolute minimum of f in the
domain bounded by the curves y = x and y = x^{2}-6.
Sketch the domain.

Solutions.

Practice problems:

WeBWorK Assignment 6 Optional.

Practice problems from "APEX Calculus":

**TBA**

Practice problems for **Lagrange Multipliers**:

**TBA**

Additional practice problems from "Stewart":

**TBA**

Iterated integrals continued, double integrals.

Double integrals in polar coordinates, applications.

Applications of double integrals continued, surface area.

No assignment due this week. Midterm 2, November 16, held in class.

Surface area continued, triple integrals.

Triple integrals in cylindrical and spherical coordinates.

Copyright © 2016 Colin Macdonald.

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