Math 204 (Sections 31, 41)
Textbook: Principles of Mathematical Analysis
by Walter Rudin
Textbook: Linear Algebra,
by Jim Hefferon
This book is available online at
http://joshua.smcvt.edu/linearalgebra/book.pdf
Homework 1 (Due Wednesday, January 13)
- Rudin, Chapter 5 (page 114), #1,3,5,6,8,9,11,15,17
Homework 2 (Due Wednesday, January 20)
Rudin, Chapter 5 (page 114), #22,26,27
The following problems from Hefferon's book:
- Chapter One, Page 10, I.1.18 (e), I.1.23.
- Chapter One, Page 19, I.2.18 (a).
- Chapter One, Page 32, I.3.15 (a), I.3.15 (b), I.3.19, I.3.21 (b).
- Chapter One, Page 41, II.1.1 (a), II.1.4, II.1.6.
- Chapter One, Page 47, II.2.11 (a), II.2.12 (a), II.2.14.
- Chapter Two, Page 86, I.1.21 (a), I.1.28.
- Chapter Two, Page 95, I.2.20, I.2.44.
- Chapter Two, Page 109, II.1.20 (a),(b).
- Chapter Two, Page 117, III.1.19 (a), III.1.19 (c), III.1.20(a).
- Chapter Two, Page 124, III.2.16, III.2.17, III.2.25.
Homework 3 (Due Wednesday, January 27)
The following problems from Hefferon's book:
- Chapter Three, Page 170, I.1.17.
- Chapter Three, Page 179, I.2.9(a),(c).
- Chapter Three, Page 186, II.1.18(a),(b).
- Chapter Three, Page 198, II.2.23 (a), (b).
- Chapter Three, Page 210, III.1.15,III.1.16,III.1.22.
- Chapter Three, Page 218, III.2.13 (a), 2.24.
- Chapter Three, Page 230, IV.2.14(a), (c), IV.2.34.
- Chapter Three, Page 240, IV.3.26, IV.3.40.
- Chapter Three, Page 249, IV.4.14 (a), 4.15 (a),(d).
- Chapter Three, Page 254, V.1.7,V.1.8(a),(b).
Homework 4 (Due Wednesday, February 3)
- Rudin, Chapter 9 (page 239), #2,3,4,5,6,7,8,9,10,12,13
Midterm: Friday, February 5.
Covering Rudin Chapter 5, Rudin Chapter 9 up to the subsection called "The Contraction Prnciple" (page 220), and Hefferon Chapters 1-3.
Homework 5 (Due Wednesday, February 10).
- Rudin, Chapter 6 (page 138), #1,2,4,6,7,8,10,11
Homework 6 (Due Wednesday, February 17).
- Rudin, Chapter 6 (page 138), #12,13,15,16,17.
Homework 7 (Due Wednesday, February 24).
- Rudin, Chapter 7 (page 165), #1,2,3,7,9,11,12,14
Homework 8 (Due Wednesday, March 2).
- Rudin, Chapter 7 (page 138), #13,20,21,22,23,24.
Midterm: Friday, March 4.
Covering the material in the first midterm, Rudin Chapter 6, and Rudin Chapter 7 except for the subsection called "Equicontinuous Families of Functions".
Homework 9 (not to be handed in).
- Rudin, Chapter 9 (page 239), 16,17,18,19.