MAT 342, Spring 2003

Topics and Assignments

Week Topics Assignments

Jan 22 - 24

Complex Numbers (Chapter I), Sections 1 - 7

Pg. 11: 1 (c and d), 2,4,9,10,14,15 (a or b), 19
Pg. 17: 1 (a and c), 4, 5, 13, 15
Pg. 22: 2 (a, b, c, and d), 6

Jan 27 - 31

Complex Numbers (Chapter I), Section 7
Elementary Functions (Chapter III), Sections 23-26

Pg. 22: 7
Pg. 67: 1(a, b and c)
Pg. 68: 5,6,7,8,9,11
Pg. 72: 7, 14
Pg. 79:1 (a and b), 2(a, b, and c), 5, 7, 15

Feb 3 - 7

Analytic Functions (Chapter III), Sections 26 - 29
Complex Numbers (Chapter I), Section 8

Pg. 79: 3, 4
Pg. 84: 1, 2, 3
Pg. 25: 1, 4
Consider the mapping f(z)=sin(z). Show that parallel lines to the real axis are mapped to ellipses and parallel lines to the imaginary axis to hyperbolas.

Feb 10 - 14

Analytic Functions (Chapter II), Sections 9 - 16

DUE ON MONDAY FEBRUARY 24-TH
Pg. 31: 1 (a, b, and d), 3, 4
Pg. 42: 2, 4
Pg. 43: 9 (a, b, and c), 10, 12
Pg. 47: 1 (a, b, c and d), 2, 3

Feb 17 - 21

Analytic Functions (Chapter II) Sections 17-20

DUE ON FRIDAY FEBRUARY 28TH
Pg. 54: 1 (b,c, d), 2(a, c, d), 3 ( a, b), 4 (a, b), 5, 6
Pg. 62: 4 (a, b, and c)

Feb 24 - 28

Analytic Functions (Chapter II) Sections 20,22

DUE, FRIDAY MARCH 7TH
Pg. 63: 7, 10 (a, b, and c)
Pg. 67: 2, 3, 4
Pg. 72: 11, 17
Pg. 80: 14

Mar 3 - 7

Integrals (Chapter IV)
Sections 30, 31, 32, 33, 34, 35

Mar 10 - 14

Integrals (Chapter IV) Section 36
Review (Wednesday)
Friday March 14 Midterm!
Midterm includes Sections 1-35 excluding 21

Mar 17 - 21

Spring Break

Mar 24 - 28

Integrals (Chapter IV)
Sections 37, 38, 39, 40, 41

DUE APRIL 4TH
Pg.120, 121: 5,7,9
Pg. 128, 129:2,3,5,6,9
Pg. 136: 1,10

Mar 31 - Apr 4

Integrals (Chapter IV)
Sections 41, 42

DUE APRIL 11TH
Pg. 136-137: 2,3,4,7,8,9
Solve the Dirichlet Problem for the disk and prove Poisson's formula.

Apr 7 - 11

Series (Chapter V)
Sections 43, 44

Apr 14 - 18

Series(Chapter V)
Sections 45, 48, 49, 50, 51

DUE APRIL 23
Pg. 142: 1,4,10
Pg. 149: 2,3,5,6,10
Pg. 172-174: 1,2,10,11

Apr 21 - 25

Series (Chapter V)
Sections 46,47
Residues and Poles (Chapter VI)
Sections 53,55,56,57,58,59,54

DUE APRIL 30
Pg.188-189: 1(a,b,c,d), 4,5,6,7
Pg.197: 1(a,b,d), 2, 3(a,b,c),10,11
Pg.203: 3,4

Apr 28 - 2

Applications of Residues
(Chapter VII)
Sections 54,60,61,62

Pg.208: 2,4,6,7
Pg.214: 4,8,12,13
Pg.219: 3,5
Pg.226: 2,4

May 5 - 9

Chapter VII
Sections 63,64

Review Session Friday May 16
1:00- 2:30 pm
Math Tower P-131

May 19
Final!!
11:00 -13:30
ESS 181

Week	Topics	Assignments
Jan 22 - 24	Complex Numbers (Chapter I), Sections 1 - 7	Pg. 11: 1 (c and d), 2,4,9,10,14,15 (a or b), 19 Pg. 17: 1 (a and c), 4, 5, 13, 15 Pg. 22: 2 (a, b, c, and d), 6
Jan 27 - 31	Complex Numbers (Chapter I), Section 7 Elementary Functions (Chapter III), Sections 23-26	Pg. 22: 7 Pg. 67: 1(a, b and c) Pg. 68: 5,6,7,8,9,11 Pg. 72: 7, 14 Pg. 79:1 (a and b), 2(a, b, and c), 5, 7, 15
Feb 3 - 7	Analytic Functions (Chapter III), Sections 26 - 29 Complex Numbers (Chapter I), Section 8	Pg. 79: 3, 4 Pg. 84: 1, 2, 3 Pg. 25: 1, 4 Consider the mapping f(z)=sin(z). Show that parallel lines to the real axis are mapped to ellipses and parallel lines to the imaginary axis to hyperbolas.
Feb 10 - 14	Analytic Functions (Chapter II), Sections 9 - 16	DUE ON MONDAY FEBRUARY 24-TH Pg. 31: 1 (a, b, and d), 3, 4 Pg. 42: 2, 4 Pg. 43: 9 (a, b, and c), 10, 12 Pg. 47: 1 (a, b, c and d), 2, 3
Feb 17 - 21	Analytic Functions (Chapter II) Sections 17-20	DUE ON FRIDAY FEBRUARY 28TH Pg. 54: 1 (b,c, d), 2(a, c, d), 3 ( a, b), 4 (a, b), 5, 6 Pg. 62: 4 (a, b, and c)
Feb 24 - 28	Analytic Functions (Chapter II) Sections 20,22	DUE, FRIDAY MARCH 7TH Pg. 63: 7, 10 (a, b, and c) Pg. 67: 2, 3, 4 Pg. 72: 11, 17 Pg. 80: 14
Mar 3 - 7	Integrals (Chapter IV) Sections 30, 31, 32, 33, 34, 35
Mar 10 - 14	Integrals (Chapter IV) Section 36 Review (Wednesday) Friday March 14 Midterm! Midterm includes Sections 1-35 excluding 21
Mar 17 - 21	Spring Break
Mar 24 - 28	Integrals (Chapter IV) Sections 37, 38, 39, 40, 41	DUE APRIL 4TH Pg.120, 121: 5,7,9 Pg. 128, 129:2,3,5,6,9 Pg. 136: 1,10
Mar 31 - Apr 4	Integrals (Chapter IV) Sections 41, 42	DUE APRIL 11TH Pg. 136-137: 2,3,4,7,8,9 Solve the Dirichlet Problem for the disk and prove Poisson's formula.
Apr 7 - 11	Series (Chapter V) Sections 43, 44
Apr 14 - 18	Series(Chapter V) Sections 45, 48, 49, 50, 51	DUE APRIL 23 Pg. 142: 1,4,10 Pg. 149: 2,3,5,6,10 Pg. 172-174: 1,2,10,11
Apr 21 - 25	Series (Chapter V) Sections 46,47 Residues and Poles (Chapter VI) Sections 53,55,56,57,58,59,54	DUE APRIL 30 Pg.188-189: 1(a,b,c,d), 4,5,6,7 Pg.197: 1(a,b,d), 2, 3(a,b,c),10,11 Pg.203: 3,4
Apr 28 - 2	Applications of Residues (Chapter VII) Sections 54,60,61,62	Pg.208: 2,4,6,7 Pg.214: 4,8,12,13 Pg.219: 3,5 Pg.226: 2,4
May 5 - 9	Chapter VII Sections 63,64	Review Session Friday May 16 1:00- 2:30 pm Math Tower P-131
May 19	Final!!	11:00 -13:30 ESS 181