 | Syllabus: Click here for details in a PDF file |
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Course: Math 32, Calculus III, MWF 9:00am Roberts North 12 |
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Texts: (1) Calculus, 5th Edition by Strauss, Bradley, Smith (required) |
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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. |
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Office Hours: MWF 10:00-11:00am @ Adams 206 and by appointment |
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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. |
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Policy: NO make-up exams without doctor's excuse. Late Homework will be no credit. |
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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
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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: 9.1-9.2
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| 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
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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
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Feb 8
quiz: 9.3-9.5 HW 9.6: 55,56, HW 9.7:13 9.7 Quadric Surfaces Quadric Surfaces
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Feb 10
10.1 Introduction to Vector Functions. HW 10.1:12,16,18,21,27,31
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| Feb 12
HW 10.1: 45,54,61
10.2 Differentiation and Integration of Vector Functions HW 10.2: 6,11,15,19,31
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Feb 15
quiz: 9.6-9.7 10.2 Differentiation and Integration of Vector Functions HW10.2: 29,33,53
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Feb 17
10.3 Modeling Ballistics HW 10.3: 1,15,19,27,43
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| Feb 20
10.4 Unit Tangent and Principal Unit Normal Vectors; Curvature HW 10.4: 3,5,11,13
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Feb 22
10.4 Unit Tangent and Principal Unit Normal Vectors; Curvature Review Sheet | Feb 24
First Exam: Ch 9 & Ch 10.1-10.3 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
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| Feb 27
10.4 Unit Tangent and Principal Unit Normal Vectors; Curvature HW 10.4: 17,23,27,29,31,35
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Feb 29 (Low grade resports due to Registrar)
10.5 Tangential and Normal Components of Acceleration. HW 10.5: 7,15,3311.1 Functions of Several Variables. HW 11.1: 1(a,f), 5,9 |
Mar 2
HW 11.1: 15,25,35-40,51 |
| 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
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Mar 7
11.3 Partial Derivatives HW 11.3: 7,13,27,31,33,39,47
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Mar 9
quiz: 10.4-11.1 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
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| 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
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Mar 23
11.6 Directional Derivatives and the Gradient. HW11.6:3,13,19,25,37,47 quiz: 11.2-11.4
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| Mar 26
11.7 Extrema of a functin of two variables HW 11.7: 13,23,29,41
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Mar 28
11.7 Extrema of a functin of two variables |
Mar 30
Cesar Chavez Holiday (observed)
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| 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
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| Apr 9
12.1 Double Integration over Rectangular Regions. HW 12.1: 1, 5, 11, 17,23,37
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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
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| 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
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May 9
May 10: Final Exam @ 9:00am |
May 11
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