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Columbus State Community College

Calculus & Analytical Geometry III, Math 153

 

Course Description (from the College):  Continuation of differential and integral calculus: Infinite sequences and series, conic sections, plane curves and polar coordinates, vectors in the plane and in space, analytic geometry in space, applications to problems in science and engineering.  An introduction to vector valued functions is included.  Prerequisite: Math 152 with a grade of C or better.

 

Syllabus -- in Word format

Homework

Important Dates
Midterm  -- Monday, August 2nd exam key
Final Exam --  Wednesday, Sept 8th at 6:00 p.m. exam key

more detailed schedule in the syllabus

 

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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

 

Homeworks to be Turned in

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

 

Suggested Homework

9.1
9.2

#1-93 eoo*
#1-85 eeo

9.3
9.4

#1-41 odd, 51-57 odd, 61-71 odd
#1-35 odd

9.5
9.6

#1-61 eoo
#1-92 eoo

9.7
9.8

#1-29 odd, 37-59 odd
#1-69 eoo

9.9
9
.10

#1-25 odd, 37, 53-57 odd
#1-59 eoo

10.1
10.2

#1-75 eoo
#1-61 eoo

10.3
10.4

#1-55 eoo
#1-95 eoo

10.5
1
1.1

#1-59 eoo
#1-75 odd

11.2
11.3

#1-97 eoo
#1-49 eoo, 79

11.4
11.5

#1-35 odd, 41-64 eoo
#1-99 eoo

11.6
11.7

#1-51 eoo
#1-123 eoo

12.1
12.2

#1-79 eoo
#1-67 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 9 Application Problems -- key
Chapter 10 Application Problems -- key
Chapter 11 Application Problems -- key

Handouts

Sequences -- key
Series -- key
Taylor Polynomials -- key
Power Series -- key
Conic Sections
Common 3D Surfaces

 

Proofs

Bounded Monotonic Sequences Converge (9.5)
Convergence of a Geometric Sequence (9.6)
Limit of the nth Term of a Convergent Sequence/Divergent Sequence (9.8/9.9)
Integral Test (9.10)
P-Series (9.11)
Direct Comparison Test/Limit Comparison (9.12/9.13)
Alternating Series Test/Alternating Series Remainder (9.14/9.15)
Absolute Convergence (9.16)
Ratio Test/Root Test (9.17/9.18)
Taylor's Theorem (9.19)
Convergence of a Power Series (9.20)
Convergent Power Series (9.22)
Convergence of Taylor Series (9.23)
Parametric Form of the Derivative (10.7)
Polar Equations of Conics (10.17)
Properties of Vector Equations (11.1-11.3)
Properties of the Dot Product (11.4/11.5)
Properties of the Cross Product (11.7/11.8)
Triple Scalar Product (11.9/11.10)
Distance Between and Point and a Line in Space (11.14)

 

Links:

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

 

 
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Last updated: 2010 4 September