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Northern Virginia Community College
Differential Equations, MTH 267
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 -- Thursday, February 24th
exam key/practice exam/key
Exam II -- Thursday, March 16th
exam key/practice exam/key
Final Exam -- Thursday, March 26th exam
key/practice exam/key
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: by appointment--send me an email to set up a time to talk by
phone. I respond to email on weekends as
well.
Answer
Keys
resources below are optional for online ELI courses.
Homeworks to be
Turned in
in
packets (IODE materials)
Completed notes:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Skills Practice
#1
Skills Practice #2
Skills Practice
#3
Skills Practice
#4
Skills Practice
#5.
Skills Practice
#6
Skills Practice
#7
Skills Practice
#8
Excel Labs (Numerical Methods)
Lab #1 --
Code
Lab #2 --
Code
Second-Order Discussion Problems
Constant Coefficients --
key
Cauchy-Euler --
key
Undetermined Coefficients --
key
Variation of Parameters --
key
Reduction of Order --
key
Springs --
key
RLC Circuits --
key
First-order Application
Problems --
key
Module
1 Discussion Questions
Module
2 Discussion Questions
Module
5 Discussion Questions
Projects
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
Laplace Transforms Table,
worksheet,
key
Laplace
Transforms,
formulas (old) for more, see the mathnotes section, and then select
handouts
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
Textbook (Trench OER)
By Parts
answers/key
(see my mathnotes section for more calculus review)
Fall 2017
Spring 2018
Summer 2018
Fall 2018
Summer 2019
Fall 2019 |
