- CS inclined can try Section 1.1: 31*-32*.
- Algebra inclined can try Section 1.2: 17*.
- Vector Analysis inclined can try Section 1.3: 25*-27* (including 26*).
- Engineering inclined can try Section 1.3: 28*-28* (including 27*).
- Fourier Analysis inclined can try Section 1.4: 21*-23* (including 22*).

Return to: Department of Mathematics and Statistics, University of New Mexico

Last updated: Aug 22, 2013

Turn in the ** bold face exercises **, they will be graded by our grader,
*Candelario Castaneda*.

Practice exercises are not to be turned in, however you are most welcome to
ask questions about them during office hours.

Starred (*) problems are *bonus problems* to be written
separately and to be turned in to me, I will grade them.

** No-Homework 12:**
Reading Assignment: Sections 7.1-7.3 and 7.6.

Recommended Problems from today lecture:

Section 7.1: Exercises 1*, 2, 3*.

Section 7.2: Exercises 1(a)*, 2, 3, 10**.

Section 7.3: 1, 2*, 3, 4*, 5, 7, 8, 9, 10, 11*.

Section 7.6: 1, 2*, 6*, 8**.

** No-Homework 11:** Reading assignment: Section 6.6 and 6.7

Recommended Exercises (if you choose to turn some of the starred problems
in, I will grade them for you and it will add extra point to your
homework).

Section 6.6: 1, 2*, 3, 4*, 5, 6*, 7, 8*.

Section 6.7: 1*, 2*, 3, 4*.

** Homework 10 (Tuesday Nov 26, 2013 this is a firm deadline):**
Reading Assignment: Sections 6.1-6.5.

Section 6.2:** Exercises 2, 4.** (Practice: 1, 3, 5, 7, 8. Bonus: 9 or 10 or 11).

Section 6.3:** Exercises 2, 4.** (Practice: 1, 3, 5, 6, 7, 9, 10).

Section 6.4:** Exercises 1, 4.** (Practice 2, 3, 5, 6, 7, 8, 9).

Section 6.5:** Exercises 2, 4.** (Practice 1, 3, 5, 6, 7, 8).

** Homework 9 (due Th Nov 14, 2013):**
Reading Assignment: Sections 5.5-5.7 and 6.1.

Section 5.5 (Laurent series):
** Exercises 4, 6, 9.** (Practice 1, 3, 7. Bonus 13).

Section 5.6 (Classification of zeros and singularities):
** Exercises 1(a)(b)(d), 3(c).**
(Practice: 1,2,3,5,9,15. Bonus: 13-14 or 10 or 17).

Section 5.7 (point at infinity):
** Exercises 1(c)(d)(g)(h), 3(b).**
(Practice: 1, 3. Bonus: 9-10).

Section 6.1 (calculus of residues):
** Exercises1(b)(f), 3(d), 7.**

** Homework 8 (due Th Oct 31, 2013):**
Reading Assignment: Sections 5.1-5.3.

Section 5.1: ** Exercise 1(b), 2(b), 11(b). **
(Practice: 1, 5-6, 7, 8, 9. Bonus: 21).

Section 5.2: ** Exercises 1(e)-2(e), 4, 11(b), 14. **
(Practice: 1, 2, 3, 5, 7, 8, 11, 13,19; Bonus: 18).

Section 5.3: ** Exercises: 4, 6, 14 (model on Example 1). **
(Practice: 1, 3, 5, 7, 8, 11, 13).

** Homework 7 (aim for Th Oct 25, 2013):**
Reading Assignment: Sections 4.5-4.7.

Section 4.5: ** Exercises 2, 4, 6.** (Practice: 3, 5, 7. Bonus: 14 or 16-17).

Section 4.6:** Exercises 2, 4, 6, 10.** (Practice: 1, 3, 5, 7. Bonus: 14 or 18).

Section 4.7: ** Exercises 6, 8, 11.** (Practice: 1. Bonus 4 or 12*).

**Homework 6 (due Thursday October 17, 2013):**
Reading Assignment: Chapter 4, Sections 4.1-4.4.

Section 4.1:**Exercises 6, 8.** (Practice 1, 2, 3, 4, 5, 7, 9; Bonus: 13 or 14).

Section 4.2: ** Exercises 5, 10, 13.** (Practice: 3, 6, 7, 8, 9, 11, 12; Bonus: 14 or 18).

Section 4.3:** Exercises 2, 4.** (Practice: 1, Bonus: 3, 6, or 11).

Section 4.4:** Exercises 10(a)(d), 14, 17.** (Practice: 1, 3, 9, 11, Bonus: 5
(deformation), 6-8 (vector analysis)).

**Homework 5 (due ***Tuesday Oct 8***, 2013):**
Reading Assignment: Chapter 3, Sections 3.1-3.5.

Section 3.1: ** Exercises 13(d), 15(d)**.

Section 3.2: ** Exercises 9(c)(e)(f), 14(a)(d), 18, 23 **. (Practice: 1,2,
5, 7, 10, 11, 17; Bonus: 24-25).

Section 3.3: ** Exercises 4, 12 **. (Practice: 1, 3, 5).

Section 3.5: ** Exercises 6(b), 12 ** . (Practice: 1, 3, 5;
Bonus: 15(b), 18, 19).

**Homework 4 (due Thursday Sept 19, 2013):**
Reading Assignment: Sections 2.4, 2.5, and 2.6.

Section 2.4: ** Exercises 2, 8, 10**. (Practice: 1, 3, 5, 7, 9; Bonus: one of
4, 15, or 16).

Section 2.5: ** Exercises 3(c)(e), 6, 10, 16**. (Practice: 1, 3, 5, 7, 9;
Bonus: one of 14, 20, 21, or 22).

**Homework 3 (due Thursday Sept 12, 2013): **
Reading assignment Sections 2.3-2.4.

Section 2.1: ** Exercises 4, 10(d)**.

Section 2.3: ** Exercises 4(b), 5 (only sum rule (5)), 6 (hint: use the quotient rule), 11(f)(g)**.
(Practice: 4(a)(c), 7, 9, 11). Bonus: 3.

**Homework 2 (due Th Sep 5,2013):**
Reading assignment Section 1.6, Chapter 2, Sections 1-2.

Section 1.6: ** Exercises 2-8. ** (Practice: 10, 11; Bonus: 1)

Section 2.1: ** Exercises 1-2(c)(f). ** (Practice: 1-2(a)(b)(d)(e), 5, 11 )

Section 2.2: **Exercises 4, 7(d)(f), 11(b)(d), 14, 17, 21(c)((d).** (Practice: 1, 2, 3, 5 )

**Homework 1 (due Th Aug 29,2013) :**
Reading assignment Chapter 1, Sections 1-6.

Section 1.1: ** 4, 20 ** (practice: 5, 7, 9, 11, 16, 17).

Section 1.2: ** 2, 16 ** (practice 4, 7 , 14).

Section 1.3: ** 9, 10(b) ** (practice: 4, 5, 7, 12.

Section 1.4: ** 2, 4, 16 ** (practice 1, 3, 5, 7, 11).

Section 1.5: ** 4(b), 5(b)(f))** (practice 4, 5, 6, 7).

*Bonus problems:* Section 1.5: 16* and/or one of the possible multiple
problems listed below (I will grade these, you are welcome to try them all,
but you must choose which one you want me to grade):