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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. *Files
on this page are mostly in .docx format. If you have difficulty
downloading them, see instructions linked in the left margin.
Syllabus -- in Word format
Homework
Important Dates
Exam I -- Tuesday, January 24th
exam key/study guide
key
Exam II -- Tuesday, February 14th exam key:
even
odd/study guide
key
Exam III -- Tuesday, March 6th exam key:
even
odd/study guide
key
Final Exam -- Tuesday, March 13th 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 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
Suggested Homework
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Section
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Suggested Problems (eoo=every other odd)
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12.1
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1-20 odd, 23-38 eoo, 59-66 odd, 69-79 odd
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12.2
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1-6 odd, 9-26 eoo, 39, 49-61 odd, 63-68 eoo
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12.3
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1-22 eoo, 25-48 odd
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12.4
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5-16 odd, 21-56 eoo
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12.5
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1-14 odd, 21-46 eoo
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13.1
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1-28 eoo, 31-28 odd, 45-48, 49-60 eoo
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13.2
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1-62 eoo, 71-75 odd
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13.3
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1-40 eoo, 45-48 odd, 51-68 odd, 73-86 odd
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13.4
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1-20 eoo
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13.5
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1-42 eoo
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13.6
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1-50 eoo, 55-62 odd
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13.7
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1-34 eoo, 41-46 odd, 49-54 odd
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13.8
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1-34 eoo, 45-62 eoo
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13.9
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1-21 odd
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13.10
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5-22 odd, 27
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14.1
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1-74 eoo
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14.2
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7-42 odd, 49-56 odd
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14.3
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1-32 eoo, 37-42 odd
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14.4
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1-26 eoo
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14.5
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1-18 odd, 29-34 odd
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14.6
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1-42 eoo
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14.7
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1-26 odd
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14.8
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1-22 odd, 27
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15.1
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1-16 odd, 21-46 odd, 51, 55-64 odd, 69-76 odd
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15.2
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1-39 eoo, 53-60 odd
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15.3
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1-34 odd
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15.4
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1-4 odd, 7-20 odd, 25-28 odd
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15.5
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1-42 eoo
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*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
Tangents & Normals
Line Integrals
Lagrange Mulitpliers
Relative & Absolute Extrema
Implicit Differentiation
Triple Integrals
Vector Fields
Del-Notation
Limits in 2 or more Variables
Graphing in 3D
Proofs
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
Dimensions
Spring Quarter 2011
Summer
Quarter 2011 |
