# MAT 150 A, Fall 2017

## Instructors

Instructor: Eugene Gorsky, egorskiy AT math.ucdavis.edu.
Office hours: MWF 1-2pm at Math 2113
If you have a question and cannot come at office hours, write me an email to schedule an appointment.

Teaching Assistants: Beibei Liu, bxliu AT math.ucdavis.edu ,
Office hour: Thursday: 4:00-5:00pm in Math 3110.
John Murray, jdmurray AT math.ucdavis.edu ,
Office hour: Tuesday 11am-12pm in Math 3137.

## Textbook

The textbook for the course is "Algebra" by Michael Artin (2nd edition).

## Final exam

The Final will be on Friday, December 15, 8-10am. It will cover all topics studied in the course: permutations, groups, subgroups, Lagrange`s theorem, homomorphisms, modular arithmetic (Chapter 2); orthogonal transformations, isometries, dihedral group (Chapters 5.1 and 6); orbits, stabilizers, centralizers, conjugacy classes, normal subgroups (Chapters 2, 6 and 7.5).

Practice problems: problems , solutions .

There will be a review session on Wednesday December 12/13, 10:30-11:30 in The Grove (formerly named Surge III) room 1309.

Letter grade F C C+ B- B B+ A- A A+
Weighed average 0-50 50-60 60-65 65-70 70-80 80-85 85-90 90-100 100-110

## Midterm 2

Midterm 2 will be on Monday, November 20. It will cover homomorphisms, kernels and images, and orthogonal transformations.

Practice problems: problems

## Midterm 1

Midterm 1 will be on Monday, October 23. It will cover sections 1.5 (permutations), 2.2-2.4 (groups, subgroups), 2.7-2.9 (cosets, Lagrange`s theorem, modular arithmetic). You should know the definitions of the groups Sn,An,ℝ, ℝ*,ℤ,ℤn,ℤ*n.

Practice problems: problems

There will be two midterms on Monday, October 23 and Monday, November 20.
The Final will be on Friday, December 15, 8-10am.

Homework Midterm I Midterm II Final Exam
20% 20% 20% 40%

## Homework

The homework should be handed in before the start of Friday lecture. It must be legible, and written in connected sentences that explains what you are doing. Just the answer (whether correct or not) is not enough. ease put your name on every page and staple the pages together. Homework should be handed in on time, late homework will not be graded.

Though it is fine to discuss the HW problems with others, you must always write up the solutions in your own words. Copying will be penalized. Of course, in the exams you must work on your own: no calculators, textbooks etc will be allowed.

Week Sections Written
Homework
Sep 27,29 1.1-1.5 HW1 , solutions
Oct 2,4,6 2.1-2.6 HW2 , solutions
Oct 9, 11, 13 2.7, 2.8, 2.10 HW3 , solutions
Oct 16, 18, 20 2.9, 2.11, 2.12, Review
Oct 23, 25, 27 Midterm on Oct 23; 5.1, 6.1 Drop deadline on Oct 24
HW4 , solutions
Oct 30, Nov 1, 3 6.2-6.4 HW5 , solutions
Nov 6, 8 6.5, 6.7, 6.8 No class on Nov 10
(Veterans Day)
HW6 , solutions
Nov 13, 15, 17 6.9, 6.10, review
Nov 20, 22 Midterm on Nov 20; 6.12 No class on Nov 24
(Thanksgiving)
Nov 27, 29, Dec 1 7.2, 7.5, 7.7, 7.8 HW7 , solutions
Dec 4, 6 ,8 7.9-7.10, review

## Disability Services

Any student with a documented disability who needs to arrange reasonable accommodations must contact the Student Disability Center (SDC). Faculty are authorized to provide only the accommodations requested by the SDC. If you have any questions, please contact the SDC at (530)752-3184 or sdc@ucdavis.edu.