Betsy McCall Courses for Winter 2012 Columbus State Community College Math 2153 Calculus III Multivariable Calculus

homepage

previous -- view my teaching portfolio here

Columbus State Community College

Calculus & Analytical Geometry III/Multivariable Calculus, Math 2153

Course Description (from the College): Introduction to multivariable calculus: Vector valued functions and motion in the plane and in space, functions of several variables, partial derivatives, directional derivatives, gradients, extrema, multiple integrals, line integrals, Green’s theorem, parametric surfaces, divergence theorem, and Stokes theorem. Applications to problems in science and engineering. Prerequisite: MATH 1152; minimum grade of “C”.

*Files on this page are mostly in .docx format. If you have difficulty downloading them, see instructions linked in the left margin.

Syllabus (MW morning) -- in Word format
Syllabus (TR night) -- in Word format

Homework

Important Dates
Exam I -- around Monday, September 24th exam key/study guide key
Exam II -- around Thursday, October 18th exam key/study guide key
Exam III -- around, Thursday, November 15th exam key/study guide key
Final Exam -- Monday, December 10th at noon exam key/supplemental study guide key / practice final key

more detailed schedule in the syllabus

Email List

via Blackboard

Grade Calculator -- javascript online grade calculator

Announcements:

Math Adjunct Office # DH 431
My CSCC email: bmccall2@cscc.edu
Calc & Stat Lab: M-Th 8-5 (roughly), MWTh Room is TBA (check the schedule outside the algebra lab DH 313). Additional hours may be available at other campuses, or in the algebra lab before or after calc lab hours (check for tutors who also work the calc lab). Not all calc tutors can do this level of calculus.

Answer Keys

Quiz #1 -- key
Quiz #2 -- key
Quiz #3 -- key
Quiz #4 -- key
Quiz #5 -- key
Quiz #6 -- key
Quiz #7 -- key
Quiz #8 -- key
Quiz #9 -- key
Quiz #10 -- key
Quiz #11 -- key
Quiz #12 -- key
Quiz #13 -- key
Quiz #14 -- key
Quiz #15 -- key
Quiz #16 -- key

Homeworks to be Turned in

Homework #1
Homework #2
Homework #3
Homework #4
Homework #5
Homework #6
Homework #7
Homework #8

Suggested Homework

Section

Suggested Problems (eoo=every other odd) (4th edition)

11.1-11.4
11.5
11.6
11.7
12.1

Review
1-99 eoo
1-51 eoo
1-123 eoo
1-20 odd, 23-38 eoo, 59-66 odd, 69-79 odd

12.2

1-6 odd, 9-26 eoo, 39, 49-61 odd, 63-68 eoo

12.3

1-22 eoo, 25-48 odd

12.4

5-16 odd, 21-56 eoo

12.5

1-14 odd, 21-46 eoo

13.1

1-28 eoo, 31-28 odd, 45-48, 49-60 eoo

13.2

1-62 eoo, 71-75 odd

13.3

1-40 eoo, 45-48 odd, 51-68 odd, 73-86 odd

13.4

1-20 eoo

13.5

1-42 eoo

13.6

1-50 eoo, 55-62 odd

13.7

1-34 eoo, 41-46 odd, 49-54 odd

13.8

1-34 eoo, 45-62 eoo

13.9

1-21 odd

13.10

5-22 odd, 27

14.1

1-74 eoo

14.2

7-42 odd, 49-56 odd

14.3

1-32 eoo, 37-42 odd

14.4

1-26 eoo

14.5

1-18 odd, 29-34 odd

14.6

1-42 eoo

14.7

1-26 odd

14.8

1-22 odd, 27

15.1

1-16 odd, 21-46 odd, 51, 55-64 odd, 69-76 odd

15.2

1-39 eoo, 53-60 odd

15.3

1-34 odd

15.4

1-4 odd, 7-20 odd, 25-28 odd

15.5

1-42 eoo

*eoo = every-other odd, for practice problems, it doesn’t matter to me whether you do 1,5, 9, 13, etc., or if you do 3, 7, 11, 15, etc.

Chapter 11 Application Problems -- key
Chapter 12 Application Problems -- key
Chapter 13 Application Problems -- key
Chapter 14 Application Problems -- key
Chapter 15 Application Problems -- key

Handouts

Polar Coordinates
Common 3D Surfaces
Tangents & Normals
Line Integrals
Lagrange Mulitpliers -- key
Relative & Absolute Extrema -- key
Implicit Differentiation -- key
Triple Integrals
Vector Fields
Del-Notation
Limits in 2 or more Variables - key
Graphing in 3D
Chain Rule -- key
Jacobians and Change of Variable
Single Variable Differentiation Review - key
Single Variable Integration Review - key
Plotting 3D Surfaces in 2D
Changing Limits of Integration in 2D & 3D
Surface Integrals

Proofs

Distance Between and Point and a Line in Space (11.14)
12.2 Properties of the Derivative
12.9 Curvature
13.0 Partial Derivatives & Notation
13.4 Sufficient Conditions for Differentiability
13.5 Differentiability Implies Continuity
13.6 Chain Rule: One Independent Variable
13.9 Directional Derivative
13.11 The Gradient
13.19 Lagrange's Theorem
14.5 Change of Variables for Double Integrals
15.1 Test for Conservative Vector Fields
15.5 Fundamental Theorem of Line Integrals
15.6 Independence of Path for Conservative Vector Fields
15.8 Green's Theorem

Links:

Programs for Numerical Methods - TI-83 (pdf)
PDF Graph Paper
I Will Derive song
How to draw Greek
Graphing 3D Parametric Curves
GraphCalc
Plotting Vector Fields
Vector Fields
Dimensions
Summer 2010 (Math 153)
Winter 2011 (Math 153)
Spring Quarter 2011 (Math 254)
Summer Quarter 2011 (Math 254)
Winter 2012 (Math 254)
Summer 2012 (Math 254)