MAT435
CALCULUS FOR ENGINEERS
COURSE DESCRIPTION
This course consists of four chapters: methods of integration, indeterminate form, and improper integrals, functions of two and three variables, and differential equations. In the first chapter, the methods of integration discussed are integration by parts, trigonometric integrals, trigonometric substitution, and integration of rational functions. The second chapter consists of limit determination, the L'Hopital Rule, and improper integral. Then students will be introduced to the topic of function of two and three variables. In the last chapter first and second order differential equations will be discussed. Applications in engineering and sciences will be covered in chapter three and four.
TOPICS IN MAT435
1. Methods of Integrations
Integration by Parts
Integration of Trigonometric Function
Trigonometric Substituition
Integration of Rational Function
2. Indeterminate Form and Improper Integral
L’Hopital’s Rule
Limit of Indeterminate Form
Improper Integral of Unbounded Intervals
3. Function of Two and Three Variables
Partial Derivatives
Total Differential and its Applications
Change of Variable (Chain Rule) and its Applications
Implicit Functions
Extremum of Functions
4. Ordinary Differential Equations
First Order Differential Equations: Separable, Homogeneous, Linear
Applications of First Order Differential Equations
Second Order Differential Equations: Linear Homogeneous, Non Homogeneous
Applications of Second Order Differential Equations
