| Anne
Arundel Community College Differential Equations , Math 212
Course Description (from the College):
Analyze and solve ordinary differential equations of various types:
separable, exact, linear equations of all orders, and systems of linear
equations. Master techniques
including integrating factors, undetermined coefficients, the Wronskian,
variation of parameters, reduction of order, power series, Laplace
transforms, and numerical approximations.
Solve systems of linear equations using operator methods, numerical
approximations, and matrix methods.
Apply these techniques to various applications including
trajectories, mixing, growth, decay, vibrating springs, electric circuits
and resonance. Use a
mathematical software system as an integral and substantial part of the
course.Prerequisite:
MAT 192
Syllabus -- in Word format
Homework
Important Dates
Exam I -- Monday, February 15th
exam key/study guide
key
Exam II -- Wednesday, March 9th
exam key/study guide key
Exam III
-- Monday, April 11th exam key/study guide key
Final Exam -- Wednesday, May 18th at 5:00 p.m.
exam
key
more detailed schedule in the syllabus
Email List
via Blackboard
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
Linear Algebra Review Schedule
Homeworks to be
Turned in
Homework
#1
Homework
#2
Homework #3
Homework
#4
Homework
#5
Homework
#6
Homework
#7
Homework
#8
Homework #9
Homework #10
Homework #11
Homework #12
Homework #13
Homework #14
MatLab/Maple/Excel Labs
Lab #1 -- Code
Lab #2 -- Code --
Link
Lab #3 --
Code
Lab #4 --
Code
Lab #5 --
Code
Lab #6
-- Code -- MFiles 1
2
Lab #7 --
Code
Lab
#8 -- Code
Lab #9 --
Code
Lab #10 --
Code
Lab #11 -- Code
How to Access
MatLab
Projects
Springs Modeling
Systems Project
Handouts
Eigenvalues and Eigenfunctions
-- key
Sketching Fourier Series
-- key
Undetermined
Coefficients (worksheet) --
key
Hyperbolic
Trig Functions -- key
Undetermined
Coefficients -- key
Characteristic Equations
-- key
Spring Problems --
key
Bernoulli Equations --
key
Homogeneous (First Order) Equations
-- key
Tank/Concentration Problems
-- key
Recognizing Types of
Differential Equations --
key
Single
Variable Differentiation Review -
key
Single Variable
Integration Review -
key
Multiple
Variable Differentiation Review -
key
Multiple
Variable Integration Review -
key
Reduction of Order
- key
Euler's Method -
key
Direction (Slope) Fields
- key
Matrices Overview --
key
Matrix Operations on the TI-83/84
Eigenvalues & Eigenvectors
-- key
Inner Products --
key
2x2 Matrix calculator
(for finding eigenvalues, in .xlsx)
3x3 Matrix calculator (for
finding characteristic polynomials in .xlsx)
Discrete Dynamical Systems --
key
Writing the Matrix of a Linear
Transformation --
key
Homogeneous Solutions and Nullspaces
-key
Series
Solutions -- key
Singular Points
Systems of Linear ODEs
-- key
Laplace Transform Formula Sheet
Proofs
Links:
PDF Graph Paper
I Will Derive song
How to
draw Greek
GraphCalc
Plotting Vector Fields
Direction Field
Grapher
Complex Numbers in
Polar Form
Integral Table
Free
ODE Books
By Parts
answers/key
Differential Equations at CSCC |
