University of California, Los Angeles
Mechanical and Aerospace Engineering Department
MAE 192A: Mathematics of Engineering
Text: Elementary Differential Equations and Boundary Value Problems 7th Ed., by Boyce and DiPrima, John Wiley and Sons, 2000.
Grade Distribution: Homework-10%, Midterm-30%, Final-50%
Instructor: A. K. Chatterjee 949-465-8943, 949-768-7661(H), UCLA number to be announced
E-Mail: [email protected]
Website: http://www.geocities.com/chatterjee_amiya/
Check this website regularly for updated information about this class
Office Hours: To be announced in class.
Course Outline
Chapter-2: Review of Solutions of First Order Ordinary Differential Equations; Linear equations: the integrating factor;
Nonlinear equations: separable, exact and homogeneous cases
Chapter-3 Review of solutions of linear second order O.D.E.'s, Homogeneous equations: fundamental solutions,
linear independence- the Wronskian, order reduction; Solution of equations with constant coefficients
Nonhomogeneous equations: particular solution, methods of undetermined coefficients and variation of 'parameters
Applications: mechanical vibrations, electrical networks
Chapter-6 The Laplace Transform
Definition of the Laplace transform; Solution of initial value problems; Impulse and step functions; Convolution integrals
Chapter-7 Matrix Algebra; Operations with matrices; Solution of a system of linear algebraic equations;
Eigenvalues and eigenvectors, diagonalizations; Similarity transformation e. Function of matrices
Chapter 7 Systems of linear second order O.D.E's
Homogeneous systems with constant coefficients, fundamental matrices; Natural modes, natural frequencies and superposition
Chapter 11 Introduction to boundary value problems
Eigenvalues and eigenfunctions; The Sturm-Liouville problem; Fourier series
Grade Distribution: Homework-15%, 3 Take-Home Quizes-30%(3(10(), Final-55%
Course Rules:
1. All exams must be taken at the designated dates and times. No exceptions except when family or medical emergency occurs. Under these circumstances, grade distribution will be appropriately modified.
2. Unclear answers will be marked with a question sign. Additional explanations are needed for credit.
3. For grade adjustments, you should be prepared for relevant questions.
4. Homework is important. Do not ignore homework assignments.
5. You should be prepared for examination questions from materials discussed in class lectures and homework problems. If you miss class lectures, please try to get a copy of the notes either from me or from someone who attended the classes you missed.
6. For effective learning of the course materials, I urge you to feel free to see me during the office hours or ask questions during lectures. In order to help you, I need your cooperation and active participation in class discussions.