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Catalog Pages referencing this course

Programs referencing this course

Other Courses referencing this course

MATH 3343 : Partial Differential Equations

MATH 3359 : Introduction to Mathematical Modeling

MATH 6523 : Numerical Solution of Ordinary and Partial Differential Equations

MATH 6540 : Topics in Numerical Analysis

PHYS 3164 : Thermal and Statistical Physics

PHYS 3165 : Electromagnetic Theory I

PHYS 3166 : Electromagnetic Theory II

PHYS 3167 : Principles of Quantum Physics

PHYS 4170 : Solid-State Physics

PHYS 4175 : Nuclear Physics

Columbian College of Arts and Sciences

Mathematics (MATH)

MATH

3342

Ordinary Differential Equations

Ordinary Differential Equation

Fall 2017

3

Course Type

Lecture

Default Grading Method

Letter Grade

No

No

MATH 2233; MATH 2184 or MATH 2185

Corequisites

30

Frequency of Offering

Term(s) Offered

Are there Course Equivalents?

No

No

Fee Type

No

A first course in ordinary differential equations, with an emphasis on mathematical modeling: solution curves, direction fields, existence and uniqueness, approximate solutions, first-order and second-order linear equations, linear systems, and phase portraits.

As a result of completing this course, students will be able to: 1) classify ordinary differential equations by their type and order; 2) solve the 1st order differential equations by either analytical methods, or numerically, or by performing the stability analysis; 3) solve the 2nd order homogeneous linear differential equations with constant coefficients by the characteristic method and some inhomogeneous equations via the method of undetermined coefficients or variation of parameters method; 4) classify system of ODEs into linear and nonlinear cases; solve linear systems by the method of eigenvalues and eigenvectors; understand a general behavior of nonlinear systems; 5) use the Laplace transform to solve Initial Value Problems; 6) solve numerically basic ODEs via MATLAB.

Uploaded a Course Syllabus

Course Attribute

CCAS - GCR: Q & L

Updated 04/13/2017

Key: 4840