SUNY at Stony Brook MAT 312: Applied Algebra
Summmer II 2017

Applied Algebra (MAT 312/AMS 351 Summer II


1Course Description

This is a course on Elementary number theory and Group theory.We will focus mainly on computational and applied aspects.


Numbers, Groups and Codes By J. F. Humphreys and M. Y. Prest


There will be one or two homework assignments each week.All homework assignments will be posted on blackboard.


The midterm will take place in class on Thursday 7/27/2017 .The ￿nal exam will take place in class on Thursday 8/17/2017


Homework = 20%

Quiz = 10%

Midterm= 30%

Final= 40%



6.1Elementary Number Theory

Division Algorithm , Induction , Unique Factorisation , Modular Arith- metic, Chinese Remainder Theorem , Euler's Theorem and Public Key Codes [1.1,1.2,1.3,1.4,1.5,1.6]

6.2Introduction to Groups

Recap of Sets,Functions and Relations, Permutations , De￿nition of Group , Examples of Groups [2.1,2.2,2.3 ,4.1,4.2,4.3]

6.3More Group Theory

Cosets, Lagrange's Theorem ,Direct Product,Error Detecting and Error Cor- recting Codes [5.1,5.2,5.3,5.4]

7Disability Support Services (DSS) Statement

If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations, if any, are necessary and appropriate. All information and documentation is con￿dential.

[In addition, this statement on emergency evacuation is often included, but not required: Students who require assistance during emergency evac- uation are encouraged to discuss their needs with their professors and Dis- ability Support Services. For procedures and information go to the following website: ]

8Academic Integrity Statement

Each student must pursue his or her academic goals honestly and be person- ally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences Center (School of Health Technology & Management, Nurs- ing, Social Welfare, Dental Medicine) and School of Medicine are required


to follow their school-speci￿c procedures. For more comprehensive infor- mation on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at http://www.stonybrook. edu/commcms/academic_integrity/index.html

9Critical Incident Management Statement

Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the O￿ce of Judicial A￿airs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to follow their school-speci￿c procedures.