## Homework Problems

### MATH 313 - HOMEWORK PROBLEMS - Fall 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):

• 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*).