MAE 140 INTRODUCTION TO ENGINEERING ANALYSIS II Catalog Data

							                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:

Grading Criteria:
      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