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.
General course information
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
Final grade and exams
There will be two midterms on Monday, October 23 and Monday, November 20.
The Final will be on Friday, December 15, 8-10am.
The final grade is based on your grades for the homework, midterms and the final:
| Homework |
Midterm I |
Midterm II |
Final Exam |
| 20% |
20% |
20% |
40% |
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.