ASE 380P ANALYTICAL METHODS, IEM 386K MATHEMATICAL METHODS IN APPLIED MECHANICS, I

Fall 2015, MW 3-4:30

Text: M.D. Greenberg, Advanced Engineering Mathematics, 2nd edition, Prentice-Hall and M.D.Greenberg,Foundations of Applied Mathematics, Prentice-Hall,Inc., Englewood Cliffs, New Jersey, 1978.

Instructor: Clint Dawson, ACE 6.430, 475-8627, clint@ices.utexas.edu

Office hours: 10:30-12:00 TTh

Purpose: The purpose of this course is to introduce engineering students to fundamental but moreadvanced topics in applied mathematics. The course covers a wide variety of topics to meet the demandsof the different research areas in ASE/EM; however, there are recurring themes throughout the course.

Week Topic1 Notation, functions, limits, sequences2 Infinite series3 Singular integrals4 Interchange of limits, delta function5 Fourier series6 Linear spaces7 Linear operators8 Linear equations9 Eigenvalue problems10 First order ODEs11 Higher order systems12 13 Phase Plane14 Stability

Homework: Suggested homework problems will be given weekly on Blackboard. Solutions to thehomework problems will be made available. Homework will not be graded but will make up an integralpart of the exams.

Exams: There will be three exams held during the semester. Times TBA. The third exam will beheld during the final exam period. Each exam is worth 1/3 of your final grade.

Evaluation plan: The course and instructor will be evaluated at the end of the semester using theapproved MEC form.

The University of Texas at Austin provides upon request appropriate academic adjustments for qualifiedstudents with disabilities. For more information, contact the Office of the Dean of Students at 471-6259,471-4241 TDD or the College of Engineering Director of Students with Disabilities at 471-4382.