## Math 300 Section 202 - Introduction to complex variables - Spring 2015

Instructor: Malabika Pramanik
Office: 214 Mathematics Building
E-mail: malabika at math dot ubc dot ca
Lectures: Mon,Wed,Fri 1:00 PM to 2:00 PM in Room 460 LSK.
Office hours: Mon 11-12, Wed 10-11 or by appointment.

### Homework

• Homework 1, due at the beginning of class on Monday January 12 :
• Homework 2, due at the beginning of class on Monday January 19 :
• Section 1.5: 4, 6a, 11.
• Section 1.6: 2, 3, 4, 5 for (a), (b), (d).
• Section 2.1: 1(a), (c), (f), 2 (for 1(a), (c), (f)), 4(c), 8.
• Homework 2 Solutions
• Homework 3, due at the beginning of class on Monday January 26 :
• Section 2.2: 7(c), (e), (f), 11(c), (d).
• Section 2.3: 4(c), 11(b), (f), 13(c), (e), (f).
• Homework 3 Solutions
• Homework 4, due at the beginning of class on Friday February 6 :
• Section 2.4: 4, 5, 8, 11.
• Section 2.5: 3(b),(c), 5, 7, 8, 15.
• Section 3.1: 2, 3(b)(c), 5(c), 13(b),(d).
• Homework 4 Solutions
• Homework 5, due at the beginning of class on Monday March 2 :
• Section 3.2: 5(d), 11, 18, 19, 21.
• Section 3.3: 1(d), 5(b), 8, 9, 11, 15.
• Section 3.5: 4, 7, 15(b), 15(d), 19.
• Homework 5 Solutions
• Homework 6, due at the beginning of class on Friday March 13:
• Section 4.1: 3, 9, 11.
• Section 4.2: 3(d), 5, 10, 12, 14(c).
• Section 4.3: 1(b), (g), (h), 2, 4, 5, 12.
• Section 4.4: 3, 4, 15, 18.
• Homework 6 Solutions
• Homework 7, due at the beginning of class on Wednesday March 25:
• Section 4.5: 3(a)(e)(f), 5, 6, 7, 11.
• Section 4.6: 3, 4, 6, 11.
• Section 5.1: 2(b)(d), 7(d)(e), 11(a)(b), 12.
• Section 5.2: 1(e), 5(d)(g), 8(c), 11(a)(b), 12.
• Homework 7 Solutions
• Homework 8, due at the beginning of class on Wednesday April 8:
• Homework 9 (will not be graded, but should be completed before the final):
• Section 5.6: 1, 2, 3, 5, 8, 11, 16.
• Section 6.1: 1, 3(c),(f), (g), 7.

### Practice Problems

The following exercises are based on the lecture material for each week. You are not required to turn in the solutions to these problems, but it is recommended that you work through these in order to test your understanding of the material. Exam problems may be loosely based on these.
• Week 1 :
• Section 1.1: 5-25.
• Section 1.2: 1-19.
• Section 1.3: 1-13, 22, 27.
• Section 1.4: 1-12, 17, 18, 20, 22, 23.
• Week 2 :
• Section 1.5: 1-11, 15-18.
• Section 1.6: 1-12.
• Section 2.1: 1-13.
• Week 3 :
• Section 2.2: 1-7, 11-19, 21, 25.
• Section 2.3: 1-7, 9-11, 13-15.
• Week 4 :
• Section 2.4: 1-5, 7-15.
• Section 2.5: 1-9, 15-19.
• Section 3.1: 1-15.
• Week 5: Midterm 1 Review
• Week 6: Study break
• Week 7:
• Section 3.2: 1-23.
• Section 3.3: 1-19.
• Section 3.5: 1-11, 15-17, 19.
• Week 8:
• Section 4.1: 1-9, 11-14.
• Section 4.2: 3-14.
• Section 4.3: 1-9, 12.
• Section 4.4: 1-5, 9-20.
• Week 10:
• Section 4.5: 1-12,14,15.
• Section 4.6: 1-17.
• Section 5.1: 1-14.
• Section 5.2: 1-8, 12-18.
• Week 11:
• Section 5.3: 1-11, 15-16.
• Section 5.5: 1-9.
• Week 12:
• Section 5.6: 1-3, 5-16, 19.
• Section 6.1: 1-7.

### Midterms

• #### Midterm 1:

• The syllabus for midterm 1 covers Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 2.1, 2.2, 2.3, 2.4, 2.5, 3.1.
• Here are two past midterms from previous offerings of this course. These should serve as good indicators of the type of problems that you might expect and the level of difficulty.
• Practice Worksheet for Wednesday February 4. Solutions
• The first midterm will be held in class on Wednesday February 11. The allotted time is 50 minutes.
• We will spend two lectures during the week of February 2 on review. Practice problem sheets will be handed out in class for you to work on.
• Office hours for the week of February 2:
• Tuesday Feb 3: 11-12
• Thursday Feb 5: 11-12
• Friday: 10-12
• By appointment.
• Please note than Monday November 9 is a statutory holiday. UBC will be closed.
• I will be out of town on Tuesday November 10 and will not be able to access email on that day.
• You may find Piazza (links above) a useful resource during the exam period. Please use it as a discussion forum and to help each other prepare for the test. The TA for this course (Ching Wong) will also be available on Piazza to answer last-minute questions, especially during February 9 and 10.
• Midterm 1 with solutions.
• #### Midterm 2:

• The second midterm will be held in class on Monday March 16. The allotted time is 50 minutes.
• The syllabus for midterm 1: Sections 3.2, 3.3, 3.5, 4.1, 4.2, 4.3, 4.4.
• A practice midterm from a previous offering of the course. Please note that our version of the exam (unlike Problem 3 of this midterm) will require all "true or false" questions to be answered with adequate justification in order to get credit.
• Practice Worksheet for the second midterm.
• Midterm 2 with solutions.
• #### Final Exam

• The final exam will be held on Tuesday April 14 at 8:30 am in HEBB 100. Please bring your student ID.
• The final exam is cumulative and will cover all the sections mentioned in the week-by-week course outline described above.
• #### Please work through the homework and practice problems based on Sections 5.6 and 6.1. Even though the last homework set will not be collected and graded, these two sections are part of the course curriculum. Problems based on the content of these two sections will appear in the final exam.

• Extra office hours information for the week leading up to the final exam will be posted here. Stay tuned.
• Final exams from past offerings of the course: