Introduction to Complex Analysis (Math 426)
In this course, we will explore complex numbers and functions of a complex variable. Many of the ideas learned in Calculus will be revisited for complex numbers, including the idea of an "analytic function", infinite series and integration. While the approach of this course will be applied, we will also discuss proofs of basic results, including the Residue Theorem and the Riemann mapping Theorem. Other topics that will discuss include the Cauchy integral formula and conformal mapping.
 Basic course information
 Required textbook and other resources
 Lectures
 Homework assignments
 Exams
 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 426". 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 
Office  Mathematics 241A 
Time  Wednesday/Friday 10:3011:45 
Place  Mathematics 124 
Office Hours  Wednesday 1:30PM3:30PM, or by appointment 
Prerequesites  Math 275 (Calculus III) 
Required textbook and other resources
 Complex Analysis : A First Course with Applications (3rd Edition), by Dennis G. Zill and Patrick D. Shanahan. Jones and Bartlett Learning, (2015) (required).
 WebAssign, by Dennis G. Zill and Patrick D. Shanahan. Jones and Bartlett Learning, (2015) (required).
Lectures
We will stick the following schedule as much as possible.
Week #1 (Jan. 9) 
Wednesday 
Section 1.1 : Complex Numbers and their properties; 1.2 : Complex Plane
Friday 
Section 1.3 : Polar Form of Complex Numbers; 1.4 : Powers and Roots

Week #2 (Jan. 16) 
Wednesday 
Section 1.4 : Powers and Roots; 1.5 : Sets of points in the complex plane
Friday 

Week #3 (Jan. 23) 
Wednesday 
Friday 

Week #4 (Jan. 30) 
Wednesday 
Friday 
Midterm #1

Week #5 (Feb. 6) 
Wednesday 
Friday 

Week #6 (Feb. 13) 
Wednesday 
Friday 

Week #7 (Feb. 20) 
Wednesday 
Friday 

Week #8 (Feb. 27) 
Wednesday 
Midterm #2
Friday 

Week #9 (Mar. 6) 
Wednesday 
Friday 

Week #10 (Mar. 13) 
Wednesday 
Friday 

Week #11 (Mar. 27) 
Wednesday 
Branch cuts
Friday 
Finish Chapter 5

Week #12 (Apr. 3) 
Wednesday 
Midterm #3 (Chapters 4 and 5)
Friday 

Week #13 (Apr. 10)  
Week #14 (Apr. 17)  
Week #15 (Apr. 24) 
Homework assignments
Homework assignments will be typicall due on Friday. All students will turn
in WebAssign assignments.
These assignments will be supplemented with written assignments.
Graduate students will have additional assignments that will involve more
theoretical questions.
Login into WebAssign here.
Supplemental homework assignments are listed here below.
Homework #1 
Due 1/18 (WebAssign) 
Homework #2 
Due 1/25 (WebAssign) 
Homework #3 
Due 2/1 (WebAssign)

Homework #4 
Due 2/10

Homework #5 
Due 2/22 (WebAssign) 
Homework #6 
Due 3/17 (WebAssign) 
Homework #7 
Due 3/31 (WebAssign)

Homework #8 
Due 4/21 (WebAssign) 
Exams
We will have two midterms and one final exam
Midterm #1  Date: Friday, February 3 
Midterm #2  Date: Wednesday, March 1 
Midterm #3  Date: Wednesday, April 5 
Midterm #4 (in place of a final)  Date: Friday April 28th This is an inclass regular length midterm 
You can find the Final Exam calendar here.
Grading policy
Homework and quizzes will count for 20% of your final grade and each of the three exams and final will be 20% of your final grade. A 90% and above will earn you an A, between 80% and 90% will earn you at least a B, between 70% and 80% will be at least a C, and below 60% will be a D or F. If there is any deviation from this grading policy, it will be to lower the percentages, i.e. you could still earn an A with less than 90%, but you will never need more than 90%. Quizzes will be mostly on the homework, and you will be given plenty of notice (no pop quizzes!).