Ma 5a/105a:  Introduction to Abstract Algebra (Fall 2016-17)

ANNOUNCEMENTS

Please Sign and Return Your FERPA Form!

Graded homework and quizzes will be returned to you in class.  If for some reason you do not collect your classwork in class, you have the option to pick up your graded work in the Section boxes located on the 2nd floor of Sloan.

However, due to the FERPA privacy regulations, we cannot place graded work in a public location, without your permission.

Please fill out the form below to indicate how you prefer your uncollected graded classwork to be handled.  Remember that the first opportunity to collect your work is in class.

Download this form, and return it, separately and unstapled, with your first homework assignment.

 

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COURSE DESCRIPTION

In Ma 5a we will discuss the basic theory of groups. We will mostly focus on finite groups. We will learn basic notions (such as groups, subgroups, cosets, quotient groups, homomorphisms, group actions), basic results (such as the isomorphism theorems, Lagrange's theorem, the Orbit-Stabilizer theorem), basic constructions (such as direct and semidirect products) and basic examples (such as cyclic, symmetric and dihedral groups). We will also touch topics such as: Finite abelian groups and their classification, the Sylow theorems and the Jordan-Holder theorem.


PREREQUISITES

 


SCHEDULE

MWF, 09:00 - 09:55, 151 Sloan.


INSTRUCTORS

Alexander Yom Din
OLGA TAUSSKY AND JOHN TODD INSTRUCTOR IN MATHEMATICS
Office: 284 Sloan
Email: ayomdin@caltech.edu


TA's

Luciena Xiao
Office: 382 Sloan
Email: xxiao@caltech.edu


OFFICE HOURS

Alexander Yom Din: Wed 12pm or by appointment

Luciena Xiao: Wed 4pm


POLICIES

Grades

The final grade will consist of 50% Homework, 25% Midterm exam, and 25% Final exam, and will be roughly given following the scale:

A+ > 93 > A > 87 > A- > 83 > B+ > 78 > B > 74 > B- > 70 > C+ > 62 > C > 55:

Homework Policy

Homework will be posted on each Friday, and will be due on the next Friday noon. The homework should be submitted to the Ma 5 box on the second level of Sloan 37.


TEXTBOOKS

Main textbook: Dummit, D. S. and R.M. Foote, Abstract Algebra, third edition (chapters 1-5 are relevant, and perhaps some of 0 and 6).

Additional textbooks: TBA


LECTURE NOTES

A skecthy summary of the lectures (however, I don't guarantee it to be accurate or full).

Set Theoretic Language - very recommended to internalize.

Midterm Review Notes

Final Review Notes


HOMEWORK

Due Date Homework Solutions
10/07/16 Homework 01 Homework 01 Solutions
10/14/16 Homework 02 Homework 02 Solutions
10/21/16 Homework 03 Homework 03 Solutions
11/04/16 Homework 04 Homework 04 Solutions
11/11/16 Homework 05 Homework 05 Solutions
11/18/16 Homework 06 Homework 06 Solutions
12/02/16 Homework 07 Homework 07 Solutions
NO DUE Homework 08  

EXAMS

Midterm exam - is handed out at the secretariat (Sloan 253) starting 10/25/16, and is due 10/31/16 at noon (in the Ma5 homework dropbox). It contains 4 questions and the student should spend 5 hours on it. Collaboration is not allowed.

Midterm exam solutions

Final exam solutions


READING

Required readings are posted in the assignments.