**
Howard Community College****Calculus &
Analytical Geometry
III/Multivariable Calculus, Math 240**
**Course Description** (from the College):
Students will develop skills
necessary to conclude the calculus sequence. The course includes
vector calculus in both two- and three-dimensional space along with
the classical theorems of Green, Stokes, and Gauss. It will also
include partial derivatives and multiple integrals along with a
number of appropriate applications. A graphing calculator and
MATLAB, a computer algebra system, will be integral parts of the
course.
*Prerequisite:**
**MATH-182 or equivalent with a grade of C or
higher.*
Syllabus -- in Word format
**Important Dates**
Exam I -- Tuesday, July 18th exam
key/practice
exam key
Exam II -- Tuesday, July 25th exam
key/practice
exam key
Exam III -- Thursday, August 3rd exam
key/practice
exam key
Exam IV -- Thursday, August 10th exam
key/practice
exam key
Final Exam -- Friday, August 11th exam
key/supplemental study guide key /
practice final key
*more detailed schedule in the syllabus*
**Email List**
via Canvas
**Announcements**:
Math Office: Hickory Ridge Building
My HCC office phone: (443) 518-1580
My HCC email: bmccall@howardcc.edu
Office Hours: Friday, 3:30-5:30 in 409
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
**Homeworks**
Homework #1
Homework #2
Homework #3
Homework #4
Homework #5
Homework #6
Homework #7
Homework #8
Homework
#9 Homework #10
**MatLab Labs**
Project #1
Project #2
Project #3
**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
Calc III at AACC
Calc III at CSCC |