Professor: Katy Craig, katy•craig at ucsb • edu

Lecture: Tuesday and Thursday, 12:30-1:45pm CRST, Room 160B

Office Hours: Mondays 2:30-3:30pm and Fridays 1-2pm in SH6507

Textbook: Elementary Analysis by Kenneth Ross, 2nd edition

Other Recommended References:

• Johnsonbaugh and Pfaffenberger, Foundations of Mathematical Analysis
• Tao, Analysis I
• Boyd and Vandenberghe, Convex Optimization
• Mordukhovich and Mau Nam, An Easy Path to Convex Analysis and Applications

For each of the above references (except Johnsonbaugh and Pfaffenberger) you can download a free copy via the above link. For Johnsonbaugh and Pfaffenberger, the book is very inexpensive.

Exams: There will be two in class midterms and one in class final exam. The examinations will be closed book and closed note. There will be no retaking or rescheduling exams under any circumstances, as the grading scheme allows you to drop your lowest midterm score.

• First Midterm: Tuesday, April 29, 12:30-1:45pm
• Second Midterm: Thursday, May 29, 12:30-1:45pm
• Final Exam: Monday, June 9, 12-3pm

Homework:

• Homework will be due Mondays at 11:59pm.
• Assignments will be posted on this website and submitted via Gradescope.
  
• Only problems marked with an asterisk (*) should be submitted for grading.
  
• At least one problem on each of the exams will be chosen from the non-asterisked homework problems.
  
• No late homework will be accepted.
  
• The lowest two homework grades will be dropped and will not count toward the final grade.
  
• Regarding collaboration/Google/Chat GPT:
  • The solutions to most homework problems can be found on the internet. The purpose of homework is to practice solving problems. Don’t miss out on that practice, or you will deprive yourself of key preparation for the exams.
  • Discussing homework problems with classmates is an excellent way to learn the material. However, be aware that it's easy to overestimate how much you actually understand individually when you solve problems in a group.

Participation: Participation will be based on attendance and contributions during lecture. If you have personal circumstances that make it difficult for you to attend lecture, please contact me within the first two weeks of classes to make an alternative arrangement.

Grading Scheme:

• Participation: 5%, Homework: 30%, Highest of Two Midterm Grades 30%, Final 35%
• All regrade requests must be received within two weeks after the graded work is returned.

Weekly Plan:

		topic	reading	due	notes
1	April 1 (T)	ordered fields	1,3 (skim 2)		LEC1
2	April 3 (Th)	the real numbers	4		LEC2
3	April 8 (T)	properties of R, sequences	5,7-8	HW1,HW1_SOL	LEC3
4	April 10 (Th)	sequences			LEC4
-	April 15 (T)	(no class)		HW2,HW2_SOL
-	April 17 (Th)	(no class)
5	April 22 (T)	limit theorems	9	HW3, HW3tex	LEC5
6	April 24 (Th)	monotone sequences	10
7	April 25 (F)	makeup lecture, 11am-12:15pm, limsup/liminf	12
-	April 29 (T)	midterm 1		PracMid1
8	May 1 (Th)
9	May 6 (T)
10	May 8 (Th)
11	May 9 (F)	makeup lecture, 11am-12:15pm
12	May 13 (T)
13	May 15 (Th)
14	May 20 (T)
15	May 22 (Th)
16	May 27 (T)
-	May 29 (Th)	midterm 2
18	June 3 (T)
19	June 5 (Th)
-	June 9 (M)	final exam, 12-3pm, CRST Room 160B