Math 7211 Algebra II

Spring 2025

Time and Room

MWF 1:30-2:20pm, Lockett Hall 232   

Calendar

Class meets from Jan 13 through May 3

Exam Date

Final exam on Mon., May 5, 10am—noon.

Prerequisite

Math 7210

Textbook

David Dummit and Richard Foote, Abstract Algebra, 3rd Edition, John Wiley and Sons, 2003.

Instructor

Professor Ng, Richard

Office

Lockett Hall 252

Phone

225-578-1659

Email

rng@math.lsu.edu

Homepage

http://www.math.lsu.edu/~rng

Office Hours

M 12:30-1:20pm T 1:30-2:20pm (or by appointment)

Graduate Assistant

adango3@lsu.edu (Abhishek Dangodara)

Syllabus: The course will cover some of the following chapters in the textbook: Chapter 13-14 (field and Galois theory), Chapter 15 (basics of commutative algebra and algebras over a field), Chapter 10 (basics for modules and their tensor products) and Chapter 18 (Wedderburn’s theorem, Maschke’s theorem and linear representations of finite groups). If time permitted, we will cover the introduction to homological algebra in Chapter 17.

 

Grade: The final grade will be weighted 60% for homework, 20% for the midterm and 20% for the final exam.

Late Homework causes extra burden to the teaching assistant. To discourage late homework, only 80% percent of the late homework score will be counted towards the final grade.

Approximate grade assignment

Percentage

97+

93-97

90-93

87-90

83-87

80-83

77-80

73-77

70-73

67-70

63-67

60-63

Below 60

Grade

A+

A

A-

B+

B

B-

C+

C

C-

D+

D

D-

F

 

Homework: Homework will be assigned weekly on this web page. Each homework problem will be graded on a 10 point scale. The following guidelines will be adopted for assigning points.

10 points: The problem has to be completed. The presentation or proofs should be written in grammatically correct sentences, which can include mathematical symbols. Mathematical notations should be correctly used. The reasoning should be correct and it should be clearly explained to the reader.

8 or 9 points: The answer should demonstrate a good understanding of the problem, and the problem is completed with minor errors, which should not make the answer implausible.

6 or 7 points: Most of the problem has been completed correctly but some error made in the answer is not minor. Some help is probably needed before another such problem can be completed correctly.

4 or 5 points: Some part of the problem has been correctly done. 

Homework

Due Date

Assignments

Jan 22

Read Section 13.1 and turn in the exercises 2, 4, 5, 6, 8 on p519

Jan 29

Read Section 13.2 and turn in the exercises 7, 11, 12, 14, 16 on p530

Feb 5

Read Sections 13.3 and 13.4 and turn in the exercises 1, 4, 5 on p536 and 2, 4 on p545

Feb 12

Read Section 13.5-6 and turn in the exercises 5 on p545, 4 and 6 on p551, 8 on p 552, 4 on p555

Feb 19

Read Section 14.1-2 and turn in the exercises 4, 5, 6, 7, 14 on p582

Feb 26

Read Section 14.3  and 14.5,  turn in 8 on p582 lecture notes;  5, 6, 8 10 on p589

Mar 5

Read Chapter 10.1-4 and turn in the exercises 1, 5, 10, 11 on p603, 18 on p618.

Mar 12

Turn in the midterm exam

Mar 19

Read Section 10.5 and and turn in the exercises 4, 5 on p375; 10, 11, 16 on p376

Mar 26

Read Chapter 18.1-2 and turn in the supplementary exercises on Tensor Products posted at Moodle

Apr 9

Read Chapter 18.1-2 and turn in the exercises 5, 7, 8, 9, 11 on p852-3.

Apr 16

Read Chapter 18.1-3 and turn in 11, 12, 13, 17, 18 on p864

Apr 23

Read Section 19.1 and turn in 9 (a,b), 11, 12, 13, 16 on p877-8

Apr 30

Read Section 19.1 and turn in 17 on p878; 4, 6, 7, 8 on p885