**MATH 117 Algebra for Applications, Lecture 1**
**Instructor:** Christian Haesemeyer
**Office: MS 6304**
**phone:** 310-825-3364
**Office hours:**M:10:00-11:00 W:2-3 F:1-2

**Teaching Assistant:**Viraj Navkal

**Time and Location:**
MWF 11am, MS 6229 (Lectures)*and* R 11am, MS 6229 (Discussion section).

**Syllabus and assignments:**
Week 1: Induction Ch 2, division theorem and Euclidean algorithm Ch 3
Homework 1, due April 9.
Week 2: Unique factorization Ch 4, congruences and cogruence classes Ch 5
Homework 2, due April 16: chapter 4 problems 10 (page 58), 35 (page 63), 43 (page 67), and chapter 5 problem 14 (page 77)
Week 3: Congruence classes Ch 6, rings and fields Ch 7
Homework 3, due April 23: Ch 5, problems 33 and 34, Ch 6 problems 46 and 51
Week 4: Rings and fields Ch 7
**Midterm 1:** Wednesday, April 21.
Homework 4, due April 30: Ch 6 problem 61, Ch 7 problems 8, 10, 12.
Week 5: Rings and fields, Ch 7
Homework 5, due May 7: Ch 7 problems 22, 33, 35, 38
Week 6: Theorems of Euler and Fermat, Ch 9 & 10
Homework 6: Ch 9 problems 8, 39, 50, 51
Week 7: Chinese remainder theorem , Ch 12
Homework 7: Ch 10, problems 13 and 19, Ch 12, problems 31 and 32
**Midterm 2:** Wednesday, May 19.
Week 8: Polynomials Ch 13 & 14
Homework 8: Ch 13, problems 3 and 11; Ch 14 problems 5 and 11.
Week 9: Polynomials Ch 14.
Week 10: Error correcting codes Ch 8.
Review sheet.

**Final Exam:** Monday, June 7th 11:30am - 2:30pm in MS 6229.

**Literature:**
We are going to use: Lindsay N. Childs *A concrete introduction to higher algebra*, 3rd Edition, Springer 2009

**Grading Policy:**

There will be 8 homework assignments, to be handed in in class on Fridays. Late homework will not be accepted; the lowest score will be dropped. There will also be two midterm exams,
and a final exam. Make-up exams will not be given. The total score for the course will be based on the better of the following two: homework will account for 20%, as will each of the midterms and the final will contribute the remaining 40%. Or, homework 20%, the better of the two midterms 25% and the final 55%. This class will use the myUCLA gradebook facility.

Requests for a regrading will only be considered within 14 calendar days of the due date of the original assignment, and no later than the day before the final. All such requests *must* be directed to the instructor; the TA is not allowed to make changes to grades.