# Math 253: Multivariable Calculus Section 102

Fall Term 2013
Lior Silberman

## General Information

• Office: MATH 229B, 604-827-3031
• Email: "lior" (at) Math.UBC.CA (please include the course number in the subject line, if applicable)
• Office Hours (Fall 2018): Tuesdays and Wednesdays 11:00-12:30

## Section 102 information

See the course-wide website for information on official course policies (such as the grading scheme).

## Lecture-by-Lecture information

This table is provided as a service to the students. It may not be accurate in every detail. Section references are to the textbook.

Week Date Material Reading Worksheet Other
1 W 4/9 Intro; 3-space §12.1 WS 1, Soln course info; Scan
F 6/9 vectors; dot product §12.2,12.3 WS 2, Soln Scan
2 M 9/9 Projections, Cross-product §12.4   Scan; clarification on projections
W 11/9 Lines and Planes §12.5 WS 4, Soln Scan
F 13/9 Quadric Surfaces §12.6   Scan
3 M 16/9 Multivariable functions §14.1 WS 6, Soln Scan; PS1 due, PS1 Soln
W 18/9   Classes Cancelled
F 20/9 Multivariable functions §14.1   Scan
4 M 23/9 Partial Derivatives §14.3 WS 8, Soln Scan; PS2 due, PS2 Soln
W 25/9 (continued)   WS 9, Soln Scan; topo-map
F 27/9 Tangent Planes §14.4 WS 10, Soln Scan
5 M 30/9 Linear Approximation     Scan; PS3 due, PS3 Soln
W 2/10 Examples   WS 11, Soln Scan
F 4/10 The Chain Rule §14.5 WS 13, Soln Scan
6 M 7/10 Directional Derivatives §14.6 WS 14, Soln Scan; topo-map
W 9/10 Midterm I Info Problems; Solutions; Comments
F 11/10 The Gradient   WS 15, Soln Scan
7 W 16/10 Optimization §14.7 WS 16, Soln Scan; PS4 due, PS4 Soln
F 18/10 Largrange Multipliers §14.8 WS 17, Soln
8 M 21/10 (continued)   WS 18, Soln PS5 due, PS5 Soln
W 23/10 Integrals over Rectangles §15.1 WS 19, Soln Scan
F 25/10 Iterated Integrals §15.2 WS 20, Soln Scan
9 M 28/10 Double Integrals §15.3 WS 21, Soln Scan; PS6 due, PS6 Soln
W 30/10 (continued)   WS 22, Soln Scan
F 1/11 Polar Coordinates
and Integration
§10.3
§15.4
WS 23, Soln Scan
10 M 4/11 (continued)   WS 24, Soln Scan
W 6/11 Applications §15.5 WS 25, Soln Scan; PS7 due, PS7 Soln
F 8/11 (continued)   WS 26, Soln Scan
11 W 13/11 Midterm II Info Problems; Solutions
F 15/11 Midterm review   WS 27, Soln Scan
12 M 18/11 Triple Integrals §15.7 WS 28, Soln Scan
W 20/11 (continued)   WS 29, Soln Scan; PS8 due, PS8 Soln
F 22/11 (continued)   WS 30, Soln Scan
13 M 25/11 Cylindrical Coordinates §15.8 WS 31, Soln Scan
W 27/11 Spherical Coordinates §15.9 WS 32, Soln Scan; PS9 due, PS9 Soln
F 29/11 Review

## Written homework

All problems from the textbook

Back to my homepage.

Clarification: the writings on these pages are generally my own creations (to which I own the copyright), and are made available for traditional academic reuse. If you wish to republish substantial portions (including in "derivative works") please ask me for permission. The material is expressly excluded from the terms of UBC Policy 81.