University of Utah
, Department of Mathematics

Math 5710-001  Introduction to Applied Mathematics
MWF.   11:50 - 12:40 am     JWB 309

Instructor:   Andrej Cherkaev
Office: JWB 225   ph: 581-6822   email:cherk@math.utah.edu
Office hours: F, 1-2 and by appointment

Textbook:
Gilbert Strang. Introduction to Applied Mathematics. Wellesley-Cambridge Press, 1986.

About the textbook: Renowned mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra. /Google books/

Prerequisites: Calculus series, a course in linear algebra and ODE.

Course Content:


Independent study  The students will choose between 
(i) doing a research project based on the course material (either Maple or Matlab is needed) and making an oral presentation, or
(ii) reading an assigned chapter/section from the text (not covered in the class),  doing the homework in it, and making an oral presentation.

Grade: The grade will be based on the quizzes and homework (50%), project  (20%), and two exams (30%). 

ADA: The "American with Disabilities Act" requires that reasonable accommodations be made for students with physical, sensory, cognitive, systemic, learning and psychiatric disabilities. Please contact me at the beginning of the semester to discuss any such accommodation for the course.

 

Homework assignments

Homework 1

Homework 2
2.2.2, 2.2.3 (c), 2.2.9, 2.2.14.

Homework 3
2.3.2, 2.4.2, 2.4.8, 2.4.10

Homework 4
3,2,2, 3.2.13, 3.1,15. Due Monday, September 30.

Homework 5
3,3.1, 3.3.4, 3.4.5, 3.4.8, 3.4.10 Due Monday, 10/7.

Homework 6
3.5.4, 3.5.7-3.5.8, 3.5.17, 3.6.9, 3.6.11, 3.5.18

Homework 7
6.4.1, 6.4.2, 6.4.6; 6.4.13, 6.4.14.

Homework 8 (the last one!)
6.6.2, 6.6.9, 6.6.18; 8.1.1, 8.1.3.8.14; 8.4.2