MATH3040 Algebra II, 2012-13

Announcement

• No tutorial in the 1st week.
• Midterm will be held on Mar 4 (Mon) in class.
• HW 1 (due date: Jan 30) has been posted.
• Lecture 1 has been posted.
• HW 2 (due date: Feb 18) has been posted.
• Lecture 2 has been posted.
• Lecture 3 has been posted.
• HW 3 (due date: Mar 1) has been posted.
• Lecture 4 has been posted.
• No tutorial on Mar 6.
• Lecture 5 has been posted.
• HW 4 (due date: Mar 15) has been posted.
• Lecture 6 has been posted.
• HW 5 (due date: Mar 22) has been posted.
• An updated version of Lecture 6 has been posted.
• Lecture 7 has been posted.
• HW 6 (due date: Mar 28) has been posted.
• An updated version of Lecture 7 has been posted.
• Lecture 8 has been posted.
• HW 7 (due date: Apr 5) has been posted.
• HW 8 (due date: Apr 19) has been posted.
• Lecture 9 has been posted.
• Lecture 10 has been posted.
• HW 9 (the last HW; due date: Apr 26) has been posted.
• Lecture 11 has been posted.

General Information

Course Description

MATH3040 is the second half of a whole year course on Abstract Algebra.

In this semester, we will discuss:

- Factorization in Rings

- Field Extensions

- Galois Theory

Textbooks

• J. Fraleigh, A First Course in Abstract Algebra, 7th edition, Addison-Wesley.

References

• D. Dummit and R. Foote, Abstract Algebra, 3rd edition, John Wiley and Sons, Inc.
• I.N. Herstein, Abstract Algebra, 3rd edition, John Wiley and Sons, Inc.

Lecture Notes

• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4
• Lecture 5
• Lecture 6
• Lecture 7
• Lecture 8
• Lecture 9
• Lecture 10
• Lecture 11

Assignments

• HW 1 (due date: Jan 30) - Exercises 45: 26, 29, 32; Exercises 46: 17, 18; Exercises 47: 15, 16. (Optional - Exercises 45: 33, 34; Exercises 46: 19, 20.)
• HW 2 (due date: Feb 18) - Exercises 29: 25, 29, 32, 33; Exercises 31: 23, 24, 25, 26, 28. (Optional - Exercises 29: 30, 31, 36.)
• HW 3 (due date: Mar 1) - Exercises 31: 29, 30, 35, 37; Exercises 33: 10, 13, 14.
• HW 4 (due date: Mar 15) - Exercises 48: 33, 34, 35, 36; Exercises 49: 10, 11, 12.
• HW 5 (due date: Mar 22) - Exercises 50: 4, 8, 17, 21, 22, 25.
• HW 6 (due date: Mar 28) - Exercises 51: 9, 10, 11, 13.
• HW 7 (due date: Apr 5) - Exercises 53: 17, 19, 20, 22, 23, 24.
• HW 8 (due date: Apr 19) - Exercises 54: 4, 7, 8, 10, 11, 12.
• HW 9 (due date: Apr 26) - Exercises 55: 10, 14, 15.

Solutions

• MATH3040 HW 1
• MATH3040 HW 2
• MATH3040 HW 3
• MATH3040 Midterm Exam
• MATH3040 HW 4
• MATH3040 HW 5
• MATH3040 HW 6
• MATH3040 HW 7
• MATH3040 HW 8
• MATH3040 HW 9

Assessment Scheme

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

and thereby help avoid any practice that would not be acceptable.