- Section 201: (Prof. Dale Peterson), MWF 9-10, Buchanan A103.
- Section 202: (Prof. Kalle Karu), MWF 11-12, Buchanan A201.

- Two midterm exams in the evenings, common for both sections.
- Exam #1: Feb 4, 6:30-8PM, SWNG 122 (Section 201), SWNG 221 (Section 202).
- Solutions.

- Exam #1 covers material from the first 4 weeks, Sections 12.1-14.3 in the text.
- Please see the exact sections and topics below in the course outline.
- Looking over the webwork assignments and the problems listed in the course outline is a good way to study for the exam.
- Some old midterm exams: a sample test, exam from 2012, another exam from 2012, a quiz, practice problems from math 253 (we have not covered some of these topics).
- Exam #2: March 19, 6:30-8PM, SWNG 222 (Section 201), SWNG 221 (Section 202).
- Solutions.

- Exam #2 covers material up to Section 15.3 in the textbook. There will be no specific questions from sections 12.1-14.3 that were covered in the first exam, but you need to know the basics.
- Please see the exact sections and topics in the week-by-week outline below.
- Old midterms: from
Math 263, another
one from Math 263, a
final exam.

- Past
final exams. In these you can find lots of problems
about partial derivatives and integration. Ignore the
problems that involve polar coordinates and triple
integrals.

- Final exam: April 24, 12:00PM.
- The final exam covers all topics listed in the course outline below; moments of inertia are omitted.
- More emphasis is put on topics covered in the second half of the course: double and triple integrals. There will also be questions from earlier parts, such as Lagrange multipliers, second derivative test for extreme values, gradients, planes and curves in space, etc.
- Formula sheet that will be
included in the final exam.

- No calculators, electronic devices, books, notes, etc, will be
allowed during the exams.

**Webwork:**

- There will be weekly Webwork assignments. They are due 10PM on Mondays.
- Please click on the link to get started with Webwork and Piazza.

- Course mark will be based on Webwork (10%), two midterms (20% each) and the final exam (50%).
- Each Webwork assignment closes at 10PM on Mondays. No
extension is possible.

- Missing a midterm exam will result in a score 0, unless you
have a valid reason, such as doctor's note or prior consent of
the instructor. Please contact your instructor if you have a
conflict with the scheduled midterm exam times.

- If you need help with registration, please check out the registration
assistance page.

- Math
Learning Centre drop-in tutoring.

This is an approximate schedule of sections in the text covered. Each section has a list of suggested practice problems. Section 14 in the new textbook is Section 15 in Edition 6; similarly, Section 15 in the new book is section 16 in the old book.

- Jan. 6-10
- 12.1: Three-dimensional coordinate system. Suggested problems: 12.1: 3, 5, 7, 11, 13, 15, 21, 25, 27, 33, 35, 39, 41.
- 12.2: Vectors. Basic operations with vectors; length of a vector, equation of a sphere in space, unit vector in a specified direction. 5, 7, 13, 17, 19, 21, 25, 29, 33, 35, 37, 41, 51.
- Jan. 13-17
- 12.3: Dot product. Using dot product to find the angle between vectors; orthogonal vectors; projection; application to finding forces. 1, 3, 5, 7, 9, 11, 15, 17, 21, 23, 25, 27, 39, 41, 45, 49, 55.
- 12.4 Cross product. Using cross product to find a vector orthogonal to two given ones; cross product and area. 3, 5, 7, 11, 13, 17, 19.
- Jan. 20-24
- 12.5 Equations of lines and planes. Symmetric and parametric equations of a line in space. Parametric equation of a segment connecting two points A and B. Equations for planes in space. Equations for a line of intersection of two planes, etc. Finding distances in space: distance from a point to a plane, etc. 3, 5, 7, 11, 13, 23, 25, 27, 29, 33, 35, 37, 51, 61, 65, 67.
- 12.6 Cylinders and quadratic surfaces. 3, 5, 7, 9, 11, 15, 19, 23, 25, 27, 29, 31.
- Jan. 27-31
- 14.1 Functions of several variables. (In edition 6, this is section 15.1). 1, 3, 7, 9, 11, 13, 15, 19, 25, 27, 33, 34, 39, 43, 47, 49, 53, 55, 65.
- 14.3 Partial derivatives. 1, 11, 13, 15, 17, 21, 27, 29, 35, 43, 45, 49, 53, 55, 61,63, 69, 75,77,79, 81, 83, 89, 93.
- Feb. 3-7
- 14.4 Tangent planes and linear approximations. Differentials. 1, 3, 5, 11, 13, 17, 19, 21, 25, 29, 31, 33, 35, 37, 39, 41.
- 14.5 The chain rule. 1, 3, 5, 7, 11, 13, 17, 19, 21, 23, 35, 39, 41, 43, 47, 49, 53.
- Feb. 12,14
- 14.6 Directional derivative. Gradient. 3, 5, 7, 9, 11, 15, 19, 21, 25, 27, 29, 31, 33, 41, 45, 49, 53, 55, 61.
- Feb. 17-24
- Spring Break.
- Feb. 24-28
- 14.7 Maximum and minimum. Critical points; the second derivative test; absolute maximum and minimum values. 1, 3, 5, 7, 9, 11, 13, 15, 29, 31, 35, 39, 41, 45, 49, 51, 53, 55.
- Mar. 3-7
- 14.8 Lagrange multipliers (two constraints not included). 1, 3, 5, 7, 9, 11, 15, 17, 21, 27, 31, 35, 43.
- 15.1 Double integrals over rectangles. 1, 3, 11, 13.
- 15.2 Iterated integrals. Fubini's theorem (without proof). 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 27, 31.
- Mar. 10-14
- 15.3 Double integrals over general regions. Changing the order of integration. 1, 3, 5, 7, 9, 15, 17, 23, 29, 35, 37, 43, 45, 47, 49, 51, 59, 62, 65.
- Exam review if time permits.
- Mar. 17-21
- 15.4 Double integrals in polar coordinates. 9, 11, 17, 19, 21, 23, 25, 29, 31, 37, 39.
- 15.5 Applications of double integrals: mass and density, centre of mass, moment of inertia. Probability not included. 3, 5, 9, 11, 13, 15.
- Mar. 24-28
- 15.7 Triple integrals. Applications. 1, 3, 5, 7, 9, 11, 15, 21, 27, 33, 41.
- Mar. 31- Apr 4
- 15.8 Triple integrals in cylindrical coordinates. 9, 11, 15, 17, 19, 21, 25, 27, 29.
- 15.9 Triple integrals in spherical coordinates. 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 31, 35, 46.
- Apr. 7
- Last day.