This course is an introduction to groups, integral rings, and fields, with further study of subgroups, cyclic groups, groups of permutations, isomorphisms, and homomorphisms of groups, direct products, and factor groups. Credit, 3 semester hours. PREREQ: MAT 220 or 230; COREQ: MAT 315.
Goals
After successfully completing the course, the student should be able to:
a. Perform algebraic computations within the algebraic structures studied
b. Test whether a given structure satisfies certain properties
c. Construct proofs of facts about these structures
d. Construct proofs about the relationship of these structures to other structures
Course Materials
Textbook(s)
Contempory Abstract Algebra, sixth edition, Joseph A. Gallian, Houghton Mifflin.
Your numerical grade for the course will be the result of your scores on two or three major tests during the semester, your score on the final examination, and your classroom participation.
Your letter grade will be determined by the chart shown below in the section entitled "Final Grades". Your letter grade will be the highest letter listed below whose numerical equivalent is not greater than your numerical grade.
Grade Components
Name
Weight
Tests during semester
45%
Classroom participation and in-class quizzes
25%
Final exam
30%
Final Grades
A:
93
B+:
88
C+:
78
D+:
68
F:
<60
A-:
90
B:
83
C:
73
D:
63
B-:
80
C-:
70
D-:
60
Attendance Policy
Attendance will be taken each meeting. If you sign in to a class meeting you are expected to remain in class until class is dismissed or you have been given permission to leave; failure to do so will be considered cheating. You are allowed three (3) unexcused absences during the term. You are responsible for knowing what is covered in each class meeting whether you attend or not, and whether the material is in the textbook or not. Each unexcused absences after the limit will result in your final grade being lowered one letter grade. For most students, preparing well for class and regular attendance in class, as well as paying attention during class are all necessary parts of doing well in the course.
Student Conduct & Honor Code
Student Conduct and Honor Code: Students are expected to act in a manner that promotes learning. The instructor will not allow disruptive behavior or rudeness in the classroom. Students are also expected to do their own work, and to refrain from helping other students to cheat.
All students are expected to know and to abide by the UNCP Academic Code, which states that "Students have the responsibility to know and observe the UNCP Academic Honor Code. This code forbids cheating, plagiarism, abuse of academic materials, fabrication, or falsification of information, and complicity in academic dishonesty. Any special requirements or permission regarding academic honesty in this course will be provided to the students in writing at the beginning of the course, and are binding on the students. Academic evaluations in this course include a judgment that the student's work is free from academic dishonesty of any type; and grades in this course therefore should be and will be adversely affected by academic dishonesty. Students who violate the code can be dismissed from the University. The normal penalty for a first offense is an F in the course. Students are expected to report cases of academic dishonesty to the instructor."
Cheating will not be tolerated, and any student who cheats or help another student to cheat will be punished severely.
