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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

 

 
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Last updated: 2015 December 13th