Introduction to Applied Mathematics for Scientists and Engineers (Math 427/527)
We will cover vector integral calculus, Fourier series and transforms, series solutions to differential equations, SturmLiouville problems, wave equation, heat equation, Poisson equation, analytic functions, and contour integration. This will be Chapters 5, 10, 1114, and 17 (time permitting).
 Solving differential equations using power series method,
 Vector Calculus
 Basic course information
 Required and suggested textbooks
 Lectures
 Homework Assignments
 Midterm
 Grading policy
Send me an email
Please send me an email at donnacalhoun@boisestate.edu so that I can compile an email list for the class. At the very least, include a subject header that says "Math 427/527". You may leave the message area blank, if you wish, or send me a short note about what you hope to get out of this course.
Basic course information
Instructor  Prof. Donna Calhoun 
Time  Tuesday/Thursday 1:302:45 
Place  TBA 
Office Hours  Wednesday 1:303:30 
Prerequesites  Math 275 and Math 333 
Required and suggested textbooks
 Advanced Engineering Mathematics, by Erwin O. Kreyzig. Wiley; 10th (Tenth) Edition edition, (2011) (required).
 Mathematical Physics, by Bruce R. Kusse and Erik A. Westwig. WileyVCH Verlag GmbH and Co., (2006) (suggested).
Lectures
Week #1 (Aug. 26) 
Tuesday 
Review of First and Second order ODEs; 5.1 : Power Series
Thursday 
5.1 : Power Series

Week #2 (Sep. 2) 
Tuesday 
Legendre Polynomials (Chapter 5.2)
Thursday 
Method of Frobenius (Chapter 5.3)

Week #3 (Sep. 9) 
Tuesday 
Forbenius Method (5.4)

Week #4 (Sep. 16) 
Tuesday 
Section 10.1 : Line Integrals
Thursday 
Section 10.2 : Path Independence of Line Integrals

Week #5 (Sep. 23) 
Tuesday 
Chapter 10.4 : Green's Theorem
Thursday 
Chapter 10.4 : Green's Theorem (cont.)

Week #6 (Sep. 30) 
Tuesday 
Chapter 10.510.7: Surfaces, surface integrals and Divergence Theorem
Thursday 
Chapter 10.9 : Stoke's Theorem

Week #7 (Oct. 7) 
Thursday 
No class

Week #8 (Oct. 14) 
Tuesday 
Review for midterm #1
Thursday 
Midterm #1

Week #9 (Oct. 21) 
Tuesday 
Fourier Series (continued)
Thursday 
Chapter 11.2, 11.3 : Arbitrary Period. Even and Odd Functions. HalfRange Expansion

Week #10 (Oct. 28) 
Tuesday 
Chapter 11.5 : SturmLiouville Problems. Orthogonal Functions
Thursday 
11.6 : Orthogonal Series. Generalized Fourier Series

Week #11 (Nov. 4) 
Tuesday 
Section 11.7 : Fourier Integrals
Thursday 
Section 11.8 : Fourier Cosine and Sine Transforms

Week #12 (Nov. 11) 
Tuesday 
11.9 : Fourier Transforms
Thursday 
11.9 : Fourier Transform (cont)

Week #13 (Nov. 18) 
Tuesday 
Section 12.2 : Modeling : Vibrating string, wave equation; Section 12.3 : Solution by separation of variables. Use of Fourier Seris
Thursday 
Section 12.4 : D'Alembert's solution of the wave equation

Week #14 (Dec. 2)  
Week #15 (Dec. 9) 
Homework Assignments
Homework is due at the start of class on the due date listed
Homework #1 
Due Sept. 10

Homework #2 
Due Sept. 19

Homework #3 
Due Oct. 3

Homework #4 
Due Oct. 15

Homework #5 
Due Oct. 31

Homework #6 
Due Nov. 21

Homework #7 
Due Dec. 3

Homework #8 
Due Dec. 19

Midterm
Grading policy
TBA