Week 
Important Dates 
Sections 
Topics 
Homework for practice 
1 
Aug 22, 24 
1.11.3 (Schaum p. 932) 
Complex numbers. Polar form. 
section 1.1: #7,9,11,1316,20,2224; section 1.2: #4,7(except (f)), 9,10; section 1.3: #2,5,7,9,10,12,13 HW for grade is on UNM Learn

2 
Aug 29, 31 (Q 1 & HW 1 on 1.11.3) 
1.4, 1.5 home reading: 1.6 
Complex exponential. Roots. Planar sets. 
section 1.4: #1,2,4,5,711,16,17; section 1.5: #48; section 1.6: #28 HW for grade is on UNM Learn

3 
Sep 5, 7 (Q 2 & HW 2 on 1.4, 1.5, 1.6)
Drop with no grade: Sep 8 
2.1, 2.2 (Schaum p. 6267) 
Functions of complex variables. Limits and continuity. 
section 2.1: #15,6(a,b),79,11,13; section 2.2: #7,11,1921,25

4 
Sep 12, 14 (Q 3 & HW 3 on 2.1, 2.2) 
2.3, 2.4, home reading: 3.1 (Schaum p. 8596) 
Analytic functions. CauchyRiemann equations. Polynomials and rational functions. 
section 2.3: #4,7,11,13,15; section 2.4: #1,3,5,7,8,10,11,13 (apply 10,12), 15; section 3.1: #1,3(a,b),7,11,13 (using (21) is not required)

5 
Sep 19, 21 (Q 4 on 2.3, 2.4, 3.1)

2.5, 3.2, 3.3 
Harmonic functions. Exponential, trigonometric, and logarithmic functions. 
section 2.5: #14,7,16,18; section 3.2: #1,2,4,5(a,b,c,d),7,9(a,b,c,d),10,11,15,1720; section 3.3: #16,915

6 
Sep 26, 28 (Exam 1 on 1.13.3; HW 4 on 2.32.5, 3.13.3) 
3.4 
Application: boundary value problems. 
section 3.4: #1*6 (*there is a typo in the book answer) 
7 
Oct 3, 5 
3.5, 4.14.3 
Complex powers & inverse trigonometric functions. Complex integration. 
section 3.5: #19*,11 (*instead of deriving (11), may derive i(z^21)^(1/2));
section 4.1: #15,7,8,10,11; section 4.2: #3,514; section 4.3: #1,2,4,5,7

8 
Oct 10 (HW 5 on 3.4, 3.5, 4.14.3) 
4.4 
Cauchy's integral theorem. 
section 4.4: #1,3,913,1517 
9 
Oct 17, 19 (Q 5 on 3.4, 3.5, 4.14.3) 
4.5, 4.6, home reading: 5.1 (Schaum p. 184186) 
Cauchy's integral formula. Bounds for analytic functions. Review of series. 
section 4.5: #1,3,4,5,7,8,11,14; section 4.6: #4,5,6,8,10,11,13,14; section 5.1: # 1(a,b,c),2(b,c),7,11,14(b,c),21 
10 
Oct 24, 26 (Q 6 & HW 6 on 4.44.6, 5.1)

5.2, 5.3, 5.5 (Schaum p. 188190) 
Power, Taylor, and Laurent Series. 
section 5.2: #5(a,b,c,d,g),7,8,13,14; section 5.3: #4,5(a,b,c),6; section 5.5: #16,9

11 
Oct 31, Nov 2 (Exam 2 on 3.45.5; HW 7 on 5.2, 5.3, 5.5)
 5.6 home reading: 5.7 
Laurent Series. Classification of singularities. 
section 5.6: #1(a,b,c,d,g),3,5; section 5.7: #1,3(b,c) 
12 
Nov 7, 9 (HW 8 on 5.6, 5.7)
Withdrawal deadline: Nov 10 
6.7, 7.1, 7.2, 7.3 
Argument principle and Rouche's theorem. Conformal mappings and their applications. 
section 6.7: #1,3(see Theorem 3),69,13,18; section 7.1: #1; section 7.2: #3,5,10,11(a,c,d,e) 
13 
Nov 14, 16 (Q 7 on 5.6, 6.7, 7.1, 7.2; HW 9 on 6.7, 7.1, 7.2) 
7.3, 7.4, 7.6 
Möbius transformations and boundary value problems. 
section 7.3: #29; section 7.4: #2,6,9; section 7.6: #1,2,3,6 
14 
Nov 21 
6.1, 6.2 (Schaum p. 214226) 
Residue theorem and its applications. Trigonometric integrals. 
section 6.1: #3,7; section 6.2: #1,2&3(see Example 2),4,5 
15 
Nov 28, 30 (Q 8 & HW 10 on 7.3, 7.4, 7.6, 6.1, 6.2) 
6.3, 6.4, 6.5 
Improper integrals. Indented contours. 
section 6.3: #1,2,3(use Example 2 in 6.1),47; section 6.4: #49; section 6.5: #27 
16 
Dec 5 (HW 11 on 6.16.5), 7 
6.6 
Integrals involving multiplevalued functions. Review. 
section 6.6: #14

17 
Dec 12 (Tuesday), 10 a.m.  noon: Final Exam 