Math 115a Lecture 1 Fall 2009
Final exam
Name:
Instructions: There are 10 problems. Make sure you are not missing any pages. Unless stated otherwise, you may use without proof anything proven in the sections of the book covered by this test. You may only
Math 51, Fall 2016
Homework 2
Due: Wednesday, October 12, 2016
HOMEWORK 2
Instructions: Complete the following problems. Remember that your homework should be scanned and uploaded
to Gradescope by 9am on Wednesday, October 12, 2016, and that late homework
Math 51, Fall 2016
Homework 3
Due: Wednesday, October 19, 2016
HOMEWORK 3
Instructions: Complete the following problems. Remember that your homework should be scanned and uploaded
to Gradescope by 9am on Wednesday, October 19, 2016, and that late homework
Math 51, Fall 2016
Homework 4
Due: Wednesday, October 26, 2016
HOMEWORK 4
Instructions: Complete the following problems. Remember that your homework should be scanned and uploaded
to Gradescope by 9am on Wednesday, October 26, 2016, and that late homework
Math 115a Lecture 1 Fall 2009
Midterm 2
Name:
Instructions: There are 5 problems. Make sure you are not missing any pages. Unless stated otherwise, you may use without proof anything proven in the sections of the book covered by this test. You may only ci
Math 115a Lecture 1 Fall 2009
Midterm 1
Name: Signature:
Instructions: There are 5 problems. Make sure you are not missing any pages. Unless stated otherwise, you may use without proof anything proven in the sections of the book covered by this test. You
HW8 Due Monday November 23
First problem: Let x, y R2 . Let , denote the standard inner product on R2 . Let be the angle between x and y . Prove (1) x, y = |x|y | cos .
Section 6.1: 9,10,12,17,18,23ab Section 6.2: 8,11,15a,16,22
1
HW2
Section 1.5: 15, 17, 18, 20 Section 1.6: 11, 15, 16, 23, 26, 32 Section 2.1: 8, 11, 15 For problems 15 and 16 in Section 1.6, you do not need to give any proof. HINT: for problem 20 in section 1.5, look at problem 9 in the same section. You may use th
HW1
Section 1.2: 12, 13, 21 Section 1.3: 11, 19, 23, 24 Section 1.4: 13, 15 Chapter 3 in the back of the book, about induction: 3.11
Another problem: Let Zn denote the set cfw_0, 1, ., n 1. For a, b Zn , dene (1) and (2) a + b = (a + b)mod n
ab = (ab)mod
Math 51, Fall 2016
Homework 1
Due: Wednesday, October 5, 2016
HOMEWORK 1
Instructions: Complete the following problems. Remember that your homework should be scanned and uploaded to
Gradescope by 9am on Wednesday, October 5, 2016, and that late homework i