 
 Syllabus:
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Course: Math
32, Calculus III, MWF 9:00am Roberts North 12 

Texts:
(1) Calculus, 5th Edition by Strauss, Bradley, Smith (required) 

Course Description: A continuation of Mathematics 31. Multivariable calculus and vector analysis with applications to physical and social sciences. Functions of several variables; polar coordinates and parametric representation of curves; partial differentiation, the method of Lagrange multipliers; multiple integration; calculus of vector functions.


Office Hours: MWF 10:0011:00am
@ Adams 206 and by
appointment 

Grading: first midterm
(Fri. Feb 24, 20%), second midterm (Wed. Apr. 4, 20%), final exam( Thurs. May
10 9:00am, 30%), class participation (5%), and homework and quiz (25%). The letter
grade will be with an approximately 90(A)80(B)70(C)60(D) scale. 

Policy:
NO makeup exams without doctor's excuse. Late Homework will be no credit. 

Tentative Schedule: updated regularly 
The HW problems need to
be turned in. HW due every Wednesday in class. It includes all assignments given in the
previous week (Mon, Wed, Fri).
Monday 
Wednesday 
Friday 
Jan 16 
Jan 18 (Jan 17: Autumn Classes Begin)
Chapter 9
9.1 Vectors in R2
HW 9.1: 2, 6, 32, 34

Jan 20
9.1 Vectors in R2
9.2 Coordinates and Vectors in R3
HW 9.1: 10,15,22,39,48; HW 9.2: 4, 8,15

Jan 23
9.2 Coordinates and Vectors in R3
HW 9.2:27,30,33,53
9.3 The Dot Product
HW 9.3: 5

Jan 25
9.3 The Dot Product
HW 9.3: 13,33,37,41,

Jan 27
9.3 The Dot Product
9.4 The Cross Product
HW 9.3: 35
HW 9.4: 13,17,28
quiz: 9.19.2

Jan 30 (Last day to add)
Class rescheduled due to the talk
Wed 12:00 ENSDA, Wed 4:00 WGK, TR 1:00pm: BC,TR 4:00pm: M,V1,V2

Feb 1
HW9.4:21,25,31,39,43,50,55
9.5 Parametric Representation of Curves; Lines in R3
HW 9.5: 8,12

Feb 3
9.5 Parametric Representation of Curves; Lines in R3
HW 9.5: 21,34,35 
Feb 6
9.6 Planes in R3
HW 9.6: 17,23,25,29,33,45

Feb 8
quiz: 9.39.5
HW 9.6: 55,56, HW 9.7:13
9.7 Quadric Surfaces
Quadric Surfaces

Feb 10
10.1 Introduction to Vector Functions.
HW 10.1:12,16,18,21,27,31

Feb 12
HW 10.1: 45,54,61
10.2 Differentiation and Integration of Vector Functions
HW 10.2: 6,11,15,19,31

Feb 15
quiz: 9.69.7
10.2 Differentiation and Integration of Vector Functions
HW10.2: 29,33,53

Feb 17
10.3 Modeling Ballistics
HW 10.3: 1,15,19,27,43

Feb 20
10.4 Unit Tangent and Principal Unit Normal Vectors; Curvature
HW 10.4: 3,5,11,13

Feb 22
10.4 Unit Tangent and Principal Unit Normal Vectors; Curvature
Review Sheet
 Feb 24
First Exam: Ch 9 & Ch 10.110.3
exercise problems: p.628: 35,37,39,41,43,45,47,49,50,S5,9,13,17,19,23,29,31,43
p.680:25,27,s1,3,5,15,17,19,23,27,33

Feb 27
10.4 Unit Tangent and Principal Unit Normal Vectors; Curvature
HW 10.4: 17,23,27,29,31,35

Feb 29 (Low grade resports due to Registrar)
10.5 Tangential and Normal Components of Acceleration.
HW 10.5: 7,15,33
11.1 Functions of Several Variables.
HW 11.1: 1(a,f), 5,9

Mar 2
HW 11.1: 15,25,3540,51

Mar 5
Classes will be taught by Mark Huber
11.2 Limits and Continuity.
HW 11.2: 5,9,15,21,25,33
11.3 Partial Derivatives

Mar 7
11.3 Partial Derivatives
HW 11.3: 7,13,27,31,33,39,47

Mar 9
quiz: 10.411.1
11.4 Tangent Planes, Approximations, and Differentiability
HW 11.4: 3,25,29,33,35,39
HW 10.4: 46 (This is the question I mentioned in the class when we discussed the curvature but forgot to assign it as HW.)

Mar 12
Spring break

Mar 14
Spring break

Mar 16
Spring break

Mar 19
11.4 Tangent Planes, Approximations, and Differentiability
HW 11.4: 17,21,37,41
11.5: Chain Rules.
HW 11.5: 5,17

Mar 21
11.5 : Chain Rules.
HW 11.5: 11,21,27,29,34,41,45,57

Mar 23
11.6 Directional Derivatives and the Gradient.
HW11.6:3,13,19,25,37,47
quiz: 11.211.4

Mar 26
11.7 Extrema of a functin of two variables
HW 11.7: 13,23,29,41

Mar 28
11.7 Extrema of a functin of two variables

Mar 30
Cesar Chavez Holiday (observed)

Apr 2
11.8 Lagrange Multipliers.
HW11.8: 5,9,13,17,19,25

Apr 4
Second Exam: Ch 10.4 11.6

Apr 6
HW11.8: 27, 29 31

Apr 9
12.1 Double Integration over Rectangular Regions.
HW 12.1: 1, 5, 11, 17,23,37

Apr 11
12.2 Double Integration over Nonrectangular Regions.
HW 12.2: 5,13,17,27,35,47,53
 Apr 13
12.3 Double Integrals in Polar Coordinates.
HW12.3: 5,15,19,23,33,43

Apr 16
12.4 Surface Area.
HW 12.4: 3, 7, 11,15,37,45
12.5 Triple Integrals.

Apr 18
12.5 Triple Integrals.
HW 12.5: 5,9,17,21,25,27,35,47
12.7 Cylindrical and Spherical Coordinates.(if time permitted)
12.8 Jacobians: Change of Variables(if time permitted)
 Apr 20
13.1 Properties of a Vector: Divergence and Curl.

Apr 23
13.1 Properties of a Vector: Divergence and Curl.
13.2 Line Integrals.
HW 13.1: 5,9,11,17,29,33,39

Apr 25
13.2 Line Integrals.
HW 13.2: 5,7,13,17,19,25,45
13.3 The Fundamental Theorem and Path Independence.

Apr 27
13.3 The Fundamental Theorem and Path Independence.
HW 13.3: 7,11,15,31,37
13.4 Green's Theorem.

Apr 29
13.4 Green's Theorem.
HW 13.4: 3,11,15,17,19,21

May 2
13.5 Surface Integrals
13.6 Stoke's Theorem
13.7 The Divergence Theor
em
HW 13.6: 1,3,5

May 4 Review

May 7

May 9
May 10: Final Exam @ 9:00am

May 11

