Title: Calculus IV with Applications

Description: Homogeneous and inhomogeneous linear differential equations; systems of linear differential equations; series solutions; Laplace transforms; Fourier series. Applications to economics, engineering, and all sciences with emphasis on numerical and graphical solutions; use of computers. May not be taken for credit in addition to AMS 361, MAT 305, or MAT 308.

Prerequisite: C or higher in MAT 127 or 132 or 142 or AMS 161 or level 9 on the mathematics placement examination

SBC: STEM+

Credits: 4

Textbook:

Differential Equations and Boundary Value Problems (5th edition) by Edwards, Penney and Calvis

Note: Subject to change - do not buy before confirming with the course instructor

Major Topics Covered:

First-order ODEs

Existence and Uniqueness of Solutions

Separable Equations

Population Growth, Logistic Equation

General N-th Order Linear Equation and Initial Value Problem

Wronskian

Solving Linear Equations with Constant Coefficients Using Characteristic Equation

Method of Variation of Parameters

Linear Systems of First-order ODE

Matrix Exponents

Undergraduate Bulletin Course Information

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