COURSE SYLLABUS Course Number: MATH6160 Course Title: INTRODUCTION TO APPLIED MATHEMATICS Credit Hours: 3 Prerequisites: MATH2650, MATH2660 Corequisite: Objectives: The course is designed to introduce the student to a variety of areas in mathematics that hold the particular interest of scientists and engineers. Its goal is to establish a foundation of mathematical structure and techniques that have shown success when applied to the analysis of these problems. Course Content: Discrete linear systems and signal processing, Fourier transforms, Z-transforms. [9 days] Function spaces, eigenfunction methods. [9 days] Conservation laws, diffusion, equilibrium states, wave phenomena. [6 days] Classical transform methods, energy integrals and conservation, maximum principles. [12 days] Topics selected according to the interests of students and instructor. [6 days] References and possible texts: Introduction to Applied Mathematics, L. Sirovich, 1988, Springer-Verlag, New York Methods of Mathematical Physics, Vol I, R. Courant and D. Hilbert, 1958, Interscience Publishers Linear Operator Theory in Engineering and Science, A. Naylor and G.R. Sell, 1982, Springer-Verlag, New York. Grading and Evaluation Procedures: Quizzes, tests, midterm exam, final exam. Other methods of evaluation are used at the discretion of the instructor. Statement related to policies on unannounced quizzes and class attendance and participation: Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester.