## Math 53, Multivariable Calculus, Spring 2012, Prof. John C. Neu

Syllabus  Textbook  Lecture and Discussion Sections  Office Hours

## Syllabus

Date Topic Sect. Assignment
Week 1
Tues, Jan 17 Parametric curves 10.1 2,4,8,9,11,17,22,24,
27,31,33,38,40,46
Thurs, Jan 19 Calculus of parametric curves 10.2 3,5,9,17,27,29,31,34,
35,41,45,53,59,69
Week 2
Tues, Jan 24 Polar coordinates, area and length in polar coordinates 10.3

10.4
3,5,10,17,25,35,39,
56,63,69,83
7,8,11,21,27,30,39,
44,47,55
Thurs, Jan 26 Vectors, dot product 12.2
12.3
4,7,15,17,22,25,26,33,34
1,3,5,7,9,10,16,19,22,35,37,
39,41,50,51,53,58,60
Week 3
Thurs, Feb 2 Cross product 12.4 2,3,9,11,13,14,18,19,
22,29,34,43,45,49
Week 4
Tues, Feb 7 Lines and planes 12.5 3,5,7,13,16,23,27,31,
39,48,49,61,69,71
Thurs, Feb 9 Vector functions and their calculus 13.1
13.2
9,11,15,19-24,25,28,37,42
3,5,8,15,16,25,31,39,49
Week 5
Tues, Feb 14 Functions of several variables 14.1 3,6,8,13,19,24,26,30,32,
34,55-60
Thurs, Feb 16 Midterm I

Week 6
Tues, Feb 21 Limits, continuity, partial derivatives 14.2
14.3
9,10,14,18,39,41,45
5,6,11,21,22,28,37
Thurs, Feb 23 Partial derivatives, cont., tangent planes 14.3
14.4
41,45,57,68,71,75,89,95
3,6,11,17,18,25,32,34,
35,40,45
Week 7
Tues, Feb 27 Chain rule, directional derivative, gradient 14.5

14.6
1,4,10,13,21,31,34,35,
38,45,49,50,55
4,7,11,23,26,27,30
Thurs, Mar 1 Gradient, cont., maximum and minimum values 14.6
14.7
37,40,47,54,63
2,3,5,11,13,18,19,31,
34,39,50,55
Week 8
Tues, Mar 6 Double integral over rectangle, iterated integral, double integral over general region 15.1
15.2
15.3
4,7,14,17
3,9,16,22,23,28,38
5,7,12,17,21,27,34
Thurs, Mar 8 General region, cont., double integral in polar coordinates 15.3
15.4
41,48,51,61
6,9,12,20,23,27,29,32,36
Week 9
Tues, Mar 13 Triple integrals, triple integrals in cylindrical coordinates 15.6
15.7
2,9,11,15,17,29,49,52,53
7,8,11,12,16,17
Thurs, Mar 15 Cylindrical coordinates, cont., triple integral in spherical coordinates 15.7
15.8
19,21,24,27
11,13,17,19,20,24,26,
28,39,44
Week 10
Tues, Mar 20 Vector fields 16.1 6,11-14,15-18,23,25,
29-32,35
Thurs, Mar 22 Midterm II

Week 11

Spring Break

Week 12
Tues, Apr 3 Line integrals, fundamental theorem for line integrals 16.2
16.3
3,6,8,10,14,16,21,39,45,48
3,4,6,11,13,20,23
Thurs, Apr 5 Fundamental theorem, cont., Green's theorem 16.3
16.4
24,27,33,34
3,4,8,13,14,17,18,19,21,27,29
Week 13
Tues, Apr 10 Curl and divergence 16.5 2,5,12,15,17,19,20,21,22
Thurs, Apr 12 Parametric surfaces 16.5
16.6
23-29,33,34,35,37,38
3,6,13-18,19,23,24,37,39,
43,46,58,59,60
Week 14
Tues, Apr 17 Surface integrals 16.7 19,20,23,25,35,36,42,43,47
Thurs, Apr 19 Divergence theorem 16.9 2,4,6,9,12,14,17,19,20,23,27,
28,29,30,32
Week 15
Tues, Apr 24 Stokes theorem 16.8 1,3,5,7,8,13,15,16,18,19
Thurs, Apr 26 Maxwell and light

Week 16
Tues, May 1 Final Rehersal I

Thurs, May 3 Final Rehersal II

Finals Week
Fri, May 11 Final exam: 7-10 pm

## Textbook

Stewart "Multivariable Calculus. Early Transcendentals for UC Berkeley"

## Lecture Section

Section Time Place Instructor
002TuTh 3:30 5:00 P0155 DWINELLENEU, J

## Discussion Sections

Section Instructor
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## Office Hours:

M 2-4pm & W 1-3pm, 1051 Evans

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