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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

MATH 2700 Elementary Differential Equations Spring 2015math.uga.edu/~wchen/math2700/syllabus.pdf · MATH 2700 Elementary Differential Equations Spring 2015 ... linear first order

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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

e-mail

Phone

Office

[email protected]

542-2210

526 Boyd

Office Hours

MW: 13:20 - 14:20