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Northern Virginia Community College
Differential Equations, MTH 291
Course Description (from the College): Introduces first
order differential equations, linear differential equations, numerical
methods, and applications. This course is primarily for the student
in mathematics, engineering, the sciences and other areas requiring strong
mathematical backgrounds. The purpose is to give the student a basic
understanding of the techniques for solving ordinary differential
equations.
Syllabus -- in Word format
Homework
Important Dates
Exam I -- Monday, October 16th
exam key/study guide
Exam II/Part I/Part II -- Monday, November 27th
exam key/study
guide
Final Exam Part I/Part
II-- Monday, December 11th at 7:30 p.m.
exam
key/study guide
more detailed schedule in the syllabus
Email List
via Blackboard
Announcements:
Math Office: AA 352
NOVA Math office: 703-845-6220
My NOVA email: bmccall@nvcc.edu
Office Hours: TR 4:30-6:00
Answer
Keys
Quiz #1 -- key
Quiz #2 --
key
Quiz #3 --
key
Quiz #4 --
key
Quiz #5 -- key
Homeworks to be
Turned in
in
packets (IODE materials)
Skills Practice
#1
Skills Practice #2
Skills Practice
#3
Skills Practice
#4
Skills Practice
#5.
Skills Practice
#6
Skills Practice
#7
Skills Practice
#8
Mathematica/Excel Labs
Lab #1 --
Code
Lab #2 -- Code
Projects
Springs Modeling
Systems Project
Handouts
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
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
Systems of Linear ODEs
-- key
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
Differential Equations at AACC |
