| Anne
Arundel Community College Calculus &
Analytical Geometry
III/Multivariable Calculus, Math 201
Course Description (from the College):
Extend
the ideas of limits, differentiation and integration to two or more
dimensions. Topics include vectors and vector functions, partial
differentiation, gradients, directional derivatives and tangent
planes, optimization, Lagrange multipliers, iterated integration,
line and surface integrals, and the classical theorems of Green,
Gauss and Stokes.Prerequisite:
MAT 192
Syllabus -- in Word format
Important Dates
Exam I -- Tuesday, February 16th
exam key/study guide key
Exam II
-- Thursday, March 10th exam key/study guide key/make-up
problems/key
Exam III --
Tuesday, April 12th exam key/study guide key
Final Exam -- Thursday,
May 12th at 12:30-2:30 exam
key/supplemental study guide key /
practice final key
more detailed schedule in the syllabus
Email List
via Canvas
Announcements:
Math Office: Mathematics 231J
My AACC voicemail: (410) 777-1264
My AACC email: bjmccall@aacc.edu
Office Hours:
MWF 11:30-12:00, 12:50-1:20 p.m.;
TTh 12:00-12:30 p.m.;
M 6:45-8:45 p.m.
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 are on WebAssign
MatLab/Maple/Excel Labs
Lab #1 --
Code
Lab #2 --
Code
Lab #3 --
Code
Lab #4 --
Code
Lab #5 --
Code
Lab #6
-- Code
Lab #7 --
Code -- MFile
Lab #8 -- Code
Lab #9 -- Code
Lab #10
Alt/Make-up --
Code
How to Access
MatLab
Projects
Contour Curves
Craft Day
Diffraction Grating --
EM Spectrum 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
Mass &
Center of Mass
Optimizing Geometry in 2D & 3D
Probability
Applications for Multivariable Calculus
3D Surfaces, Contour
Curves & Gradients
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
Contour Curves Grapher
Multivariable Calculus
at CSCC |
