Math 702, Spring 2024, Professor Kustin
Announcements
Class Notes
Syllabus
Homework
- Homework 1, Due Monday, January 29, 2024.
- Homework 2, Due Monday, February 5, 2024.
- Homework 3. Due Wednesday, February 14, 2024
- Homework 4.
- Homework 5 is due on Wednesday, April 17, by the beginning of class.
Homework Solutions
The exams
Exam Solutions
Old Announcements
- In class on Monday, Jan 8, we covered pages 76-78 of the class notes.
- In class on Wednesday, Jan 10, we covered pages 78-81 of the class notes.
- In class on Wednesday, Jan 17, we covered pages 81-84 of the class notes.
- In class on Monday, Jan 22, we covered pages 84-85 of the class notes.
- In class on Wednesday, Jan 24, we covered pages 85-86 of the class notes.
- In class on Monday, Jan 29, we discussed how to find the Jordan canonical form of a linear transformation. We also covered pages 86-88 of the class notes.
- In class on Wednesday, Jan 31, we considered two rings R sitting inside A. Suppose A is finitely generated as an R-module. We proved that every element of A satisfies a monic polynomial with coefficients in R. We also covered pages 88-89 of the class notes.
- In class on Monday, Feb. 5, we covered pages 90-94 of the class notes.
- In class on Wednesday, Feb. 7, we covered pages 94-96 of the class notes.
- In class on Monday, Feb. 12, we covered pages 96-98 of the class notes.
- In class on Wednesday, Feb. 14, we covered pages 99-101 of the class notes.
- Exam 1 is Feb. 21 on Rings and Modules, parts 3 and 4 of the lecture notes.
- In class on Monday, Feb. 19, we covered pages 101-102 of the class notes.
- In class on Monday, Feb. 26, we covered page 103 of the class notes.
- In class on Wednesday, Feb. 28, we covered pages 104-105 of the class notes.
- In class on Monday, March 11, we covered pages 106-107 of the class notes.
- In class on Wednesday, March 13, we covered pages 107-108 of the class notes.
- In class on Monday, March 18, we covered pages 108-110 of the class notes.
- Homework 4 is due on Wednesday, March 20 by the beginning of class.
- In class on Wednesday, March 20, we covered pages 110-112 of the class notes.
- In class on Monday, March 25, we covered pages 112-114 of the class notes.
- In class on Wednesday, March 27, we covered pages 114-117 of the class notes.
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Low Lying Fruit.
- Exam 2 is due on Monday, April 1, by the beginning of class.
- In class on Monday, April 1, we covered pages 117-119 of the class notes.
- In class on Monday, April 8, we covered pages 121-123 of the class notes.
- In class on Wednesday, April 10, we covered pages 124-127 of the class notes.
- In class on Monday, April 15, we covered pages 128-131 of the class notes.
- In class on Wednesday, April 17, we covered pages 131-134 of the class notes.
- The final is Wednesday, April 24, 4:00 -- 6:30 PM in our usual classroom.
- In class on Monday, April 22, we covered pages 135-136 and 139-141 of the class notes.
- Homework 5 is due on Wednesday, April 17, by the beginning of class.
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Solutions to Low Lying Fruit
- Solution to Exam 2.
- Solution to Homework 5.