Homework assignments
When doing homework makes you feel like the guy in the lion's mouth you need to join a study party and/or come to office hours. I guarantee you'll fell like a lion crushing mathematics!
Please remember that up to 3 people can and should hand in 1 homework paper. Also please keep in mind that I have to read what you write. Have pride in your work and let that pride in your work come through. Homeworks that are typed and available as pdfs can be sent to me via email.
Homework 7: Due Thursday, March 26, in class.
p. 181: 1.17a,b,c,d, 1.19, 1.23, 1.27. Comment: The text uses the word homomorphism. A homomorphism is what we call a linear map.
Homework 6: Due Thursday, March 5, in class.
- p. 108/109/110: 1.18, 1.19c,d, 1.20a, 1.21a,d, 1.25a, 1.33, 1.35.
Homework 5: Due Thursday, February 26, in class.
- p. 98: 2.22a,b, 2.24b,d,e, 2.26b,c, 2.28
- A line is determined by two (different) points. Is a parabola determined by three (different) points? If yes, prove it. If no, prove under what conditions three (different) points determine a parabola.
Homework 4: Due Thursday, February 19, in class.
- p. 88/89/90: 1.20d, 1.21a,b, 1.27d,e, 1.28, 1.31
- p. 43: 2.14
Homework 3: Due Thursday, February 12, in class.
- p. 42/43/44:: 2.13, 2.25, 2.32, 2.35
- p. 59/60/61: 2.24
- Prove that (a+b+c+d)^2 is less than or equal to 4(a^2 + b^2 + c^2 +d^2). When do we have equality? Can you generalize this? (Hint: Cauchy-Schwartz)
Homework 2: Due Thursday, February 5, in class.
- page 10: p.10: 1.34
- p.29: 3.16 b, c
- p.51: 1.8 c,d, 1.9 b,c
Homework 1: Due Thursday, January 29, in class.
1.17, 1.20, 1.21a, 1.24, 2.18e,f, 2.19b,c, 2.30