| 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 -- in Word format
Homework
Important Dates
Exam I -- Thursday, June 11th exam
key/study guide key
Exam II -- Thursday, June 25th exam
key/study guide key
Exam III -- Thursday, July 22nd exam
key/study guide key
Final Exam -- Tuesday, August 4th at 4:00 p.m.
exam
key/supplemental study guide key /
practice final key
more detailed schedule in the syllabus
Email List
via Blackboard
Announcements:
Office # DH 448
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.
Office hours:
MW 4:30-5 & 8-8:30 p.m., TR 7:30-9 p.m. additional hours by appointment
June 23rd & June 25th: class will start late: around 5:30. Futher
details will be announced in class.
There is an optional MyMathLab section: mccall82614 or MCCALL82614
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
Homework #1
Homework #2
Homework #3
Homework #4
Homework #5
Homework #6
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 -
key
Line Integrals
Lagrange Mulitpliers
-- key
Relative & Absolute Extrema
-- key
Implicit Differentiation
-- key
Triple Integrals
Vector Fields
Del-Notation
- key
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
Gradients & Level Curves
-- key
Matrices Overview --
key
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
Visualizing Gradients
Multivariable Calculus Demonstrations
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)
Fall 2012 (Math
2153)
Spring 2014 (Math
2153)
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