Professor Peter J. Olver
School of Mathematics
Institute of Technology
University of Minnesota
Minneapolis, MN 55455
540 Vincent Hall
|Lectures: MWF 11:15 - 12:05, Vincent Hall 6|
|Office Hours: M 1:30-3:30, F 12:15-1:15, or by appointment|
Course Description: The year course Math 4457-8 is designed to introduce the basic tools used in applications of mathematics. Topics include linear algebra, differential equations, boundary value problems, numerical approximations, Fourier analysis, complex variables, dynamical systems, etc. Many applications will be discussed, including mechanical structures, electrical circuits, fluid mechanics, continuum mechanics, geometry, signal and image processing, and many more.Prerequisites: Strong background in linear algebra and multi-variable calculus (3000 level). Some mathematical sophistication.
Text: The course will be based on the professor's typed lecture notes, which will be distributed in class. I am hoping to cover chapters 10-14 in the spring semester.
Homework: Each assignment will consist of problems from the text, which may include computer projects. Assignments handed out on a Wednesday will be due the following Wednesday.
Hour Exams: There will be two midterm exams; the date and chapters covered will be announced in due course. Make-up exams will only be given in exceptional circumstances, and then only when notice is given to me before hand and a suitable written excuse forthcoming.
Final Projects: Instead of a final exam, I will be assigning a final project. Details will be announced in class.
Incompletes: Only given in extreme circumstances, and only when the student has satisfactorily completed all but a small portion of the work in the course. Students must make prior arrangements with the professor well before the end of the quarter.
Grading Standards and Student Conduct: Students are expected to be familiar with University of Minnesota policies on grading standards and student conduct, including the consequences for students who violate standards of academic honesty.