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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 8th exam key/practice exam/key
Exam II  -- Thursday, April 12th exam key/practice exam/key
Final Exam -- Thursday, May 3rd at 7:30 p.m. 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

 

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

 

 
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Last updated: 2019 August 22nd