M521A ABSTRACT ALGEBRA

SYLLABUS

POLICIES

ASSIGNMENTS


        M521A Abstract Algebra/ Syllabus

Office: GMCS 589
Office Hours: T TH 1:15PM - 2:15PM
e-mail: palacios AT euler.sdsu.edu

Textbook
Contemporary Abstract Algebra, 8th Edition
Author: Joseph A. Gallian
Publisher: Brooks/Cole CENGAGE Learning

Cell Phones: Please turn off your cell phones during class, quizzes and exams. NO TEXTING.

Course Outline

  1. Groups
    • Introduction
    • Definition and examples
    • Finite groups
    • Subgroups
  2. Cyclic Groups
    • Properties
    • Classification
  3. Permutation Groups
    • Definitions
    • Cycle notation
    • Properties
  4. Isomorphisms
    • Definitions
    • Cayley's Theorem




  1. Cosets
    • Properties
    • Lagrange's Theorem
    • Applications
  2. External Direct Product
    • Definitions
    • Properties
  3. Normal Subgroups
    • Definitions
    • Factor groups
    • Internal direct product
  4. External Direct Product
    • Definitions
    • Properties
  5. Finite Abelian Groups
    • Fundamental theorem
    • Isomorphisms classes

 

 


References

 
[1] J.F. Cornwell. Group Theory in Physics. Academic Press.
 
[2] M.A. Amrstrong. Groups and Symmetry. Springer
   
[3] N. Mee. Higgs Force. The Symmetry-breaking force that makes the world an interesting place.

 


Grading
Homework and quizzes
45 %
Midterm Exams
25 %
Final Exam
30 %


Grading Scale
A -- (minus)
90% and above
B -- (minus)
80% and above
C -- (minus)
65% and above
D -- (minus) 55% and above

 

 

 



*Note: Exam dates listed above are tentative and will be confirmed in class. The instructor reserves the right to change these dates if considered necessary.

  • Exams, Homework, and Quizzes are considered individual work. Copying someone else work is considered cheating and will be penalized.
  • Quizzes may or may not be announced. If a quiz is given at the beginning of class and you are late, you will not be able to take this quiz earlier.If a quiz is given at the end of the hour, you will not be able to take this quiz earlier.



Important Dates

Withdrawal (fees refunded) Day: September 9
Last Day of Classes December 11



Milk Splash