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MATH 2700
Elementary Differential Equations
Spring 2015
Prerequisite Integral Calculus (MATH 2260 or 2310H or 2410 or 2410H or 2210)
Time & Place 12:20 -13:10, rm C120 Bldg 1057; 14:30 -15:20 rm 101; MWF Bldg 1031
Course Objectives
Model physical and biological processes with differential equations.
Find general solutions to simple classes of differential equations.
Get qualitative information and approximate solutions for differential equations whose
general solutions cannot be found explicitly.
Textbook
List of topics/study guide.
The section to be covered can be seen in
http://www.math.uga.edu/undergraduate/2700_syl.pdf
Definition of linear first order differential equation
Linearity principles for solutions of homogeneous and non-homogeneous linear
differential equations
Methods for solving linear first order differential equations with constant coefficients
1. Guessing
2. Separation of variables
3. Applying linearity (particular + general homogeneous)
4. Integrating factor
Systems of differential equations
1. Modeling predator-prey and related situations
2. Construction from individual second order equations
3. Harmonic oscillators
4. Vector and direction fields, equilibria, phase portraits and solution curves, plotting
individual dependent variables versus time
5. Solving completely and partially decoupled systems and initial value problems
6. Euler's method
Differential Equations (with CD), 4th Edition, by Paul Banchard, Robert L.
Devaney, and Glen R. Hall,
Brooks/Cole Publishing Co., CENGAGE Learning, 2012
ISBN10: 1-133-10903-9; ISBN13: 978-1-133-10903-7
7. Matrix notation and the linearity principle
8. Linear algebra topics including determinants, linear combinations, and
independence
9. Application of (8) to equilbria, general solutions of systems, and solution of initial
value problems
Grading
Attendance 10 points
Homework will be given on line; no late work will be accepted.
Take your total earned points and divide by 5 to get a 100% value: The following grading
scale will apply: 91 – 100 A, 89 – 90 A -, 87 – 88 B+, 81 – 86 B, 79 – 80 B -, 77 –
78 C+, 71 – 76 C, 69 —70 C -, 60 – 68 D, and below 60 is an F.
Homework/Quizzes
Hour Tests (2 @ 100 pts)
Final Exam
90 points
200 points
200 points
Instructor Weidong Chen
Phone
Office
542-2210
526 Boyd
Office Hours
MW: 13:20 - 14:20