# MAE 140 INTRODUCTION TO ENGINEERING ANALYSIS II Catalog Data

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```							                MAE 140 INTRODUCTION TO ENGINEERING ANALYSIS II

Catalog Data:             MAE140: Introduction to Engineering Analysis II (Credit Units: 4).
Analytical methods in engineering. Nonhomogeneous linear ordinary
differential equations. Variable coefficient linear ordinary differential
equations. Eigenfunction expansions. Laplace transforms. Introduction to
Fourier transforms. Linear partial differential equations. Prerequisite:
Mathematics 2E or equivalent. (Design units: 0)

Textbook:                 Boyce, William E & Diprima, Richard C. Elementary Differential
Equations and Boundary Value Problems, 8th Edition, Wiley and Sons,
2005.

References:

Coordinator:              William A. Sirignano

Course Outcomes:          Students will be able to:
Understand engineering systems with continuous variables in space and/or
time with emphasis on the exposition of analytical methods and concepts.
Understand the relationships between the fundamentals of the theories for
ordinary and partial differential equations and various model electrical,
mechanical, and thermal systems are characterized. Emphasis is placed on
exact analytical solutions.

Prerequisites By Topic:   Applied Vector Calculus and Differential Equations

Lecture Topics:           Linear variable coefficient ordinary differential equations, Frobenius
method, particular solutions
Laplace transforms
Fourier series and Fourier transforms
Eigenfunction expansions and Sturm-Liouville problem
Numerical solutions of differential equations
Modelling and linear partial differential equation solutions via separation
of variables and eigenfunction expansion
Linear partial differential equation solution via transform methods

Class Schedule:           Each class meets 3 hours per week for 10 weeks and students are assigned
to a 1 hour lab session per week.

Computer Usage:           Computer usage is required for some integration and plotting.

Laboratory Projects:

Professional Component: Contributes toward the Mechanical Engineering Topics courses.
Contributes toward the Aerospace Engineering Topics courses.

Relationship to Program Outcomes: This course relates to Program Outcomes as stated at:
http://www.eng.uci.edu/dept/objective_mechanical
http://www.eng.uci.edu/dept/objective_aerospace
Design Content Description
Approach:
Lectures:
Laboratory Portion:

Homework:               15%
Midterm Exam:           40%
Final Exam:             45%
100%

Estimated ABET Category Content:
Mathematics and Basic Science: ___ credit units or ___%
Engineering Science: __4_ credit units or _100__%
Engineering Design: ___ credit units or ___%

Prepared by: William A. Sirignano/Roger Rangel         Date: July 2005

CEP Approved: Fall 2004

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