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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 13th exam key/study guide key
Exam II  -- Wednesday, March 8th exam key/study guide key
Exam III  -- Monday, Aprl 10th exam key/study guide key
Final Exam -- Monday, May 8th at 500 p.m. exam 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: M 2-5, TR 4-5:30

 

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 MFile
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
Laplace Transforms Table
Systems of Springs

 

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

MAT 212 -- Spring 2016
MAT 212 -- Summer 2016

 

 
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Last updated: 2015 December 13th