Betsy McCall Courses for Spring 2011 Columbus State Community College Math 254 Calculus IV Multivariable Calculus

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Columbus State Community College

Calculus & Analytical Geometry IV/Multivariable Calculus, Math 254

Course Description (from the College): MATH 254 presents an introduction to multivariable calculus. Topics includes 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 and Green’s Theorem. Course topics have applications to problems in science and engineering. Meets general education requirement for the A.S. and A.A. degrees. Prerequisite: Math 153 with a grade of C or better.

Syllabus -- in Word format

Homework

Important Dates
Exam I -- Wednesday, April 13th exam key/study guide
Exam II -- Monday, May 9th exam key/study guide
Exam III -- Wednesday, May 25th exam key/study guide
Final Exam -- Monday, June 6th at 6:00 p.m. exam 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 1-6 (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).

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

Homeworks to be Turned in

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

Suggested Homework

Section

Suggested Problems (eoo=every other odd)

12.1

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

Handouts

Common 3D Surfaces

Images from Craft Day!

We took a day off from mathematics, and tried modeling some problems in 3D, to help the students get a proper feel for the shape of equations and how they interact. And then we used that information to set up triple integrals to calculate the volumes of our 3D shapes. Some of our models show paraboloids intersecting, hyperboloids of one sheet cut by planes, spheres cut (unevenly) by planes, and more. We weren't going for perfect models, just enough to see how things might interact with each other in space.

craft day photos

more craft day photos

modeling equations in 3D

Links:

Programs for Numerical Methods - TI-83 (pdf)
PDF Graph Paper
I Will Derive song
How to draw Greek
Graphing 3D Parametric Curves
GraphCalc