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

Lecture: Monday and Wednesday, 12:30-1:45pm GIRV 2127

Office Hours: Tuesdays and Wednesdays, 11:15am-12:15pm, SH 6507

Textbook: Elementary Analysis by Kenneth Ross, 2nd edition

Other Recommended References:

• Johnsonbaugh and Pfaffenberger, Foundations of Mathematical Analysis
• Tao, Analysis I

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: Wednesday, April 22, 12:30-1:45pm
• Second Midterm: Wednesday, May 27, 12:30-1:45pm
• Final Exam: Tuesday, June 9, 12-3pm

Homework:

• Homework will be due Thursday 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:

• Your grade will be computed by whichever scheme gives the higher score:
  • Scheme 1: Participation: 10%, Homework: 15%, Highest of Two Midterm Grades 35%, Final 40%
  • Scheme 2: Participation: 10%, Homework: 15%, Midterm 1 25%, Midterm 2 25%, Final 25%
• All regrade requests must be received within two weeks after the graded work is returned.

Weekly Plan:

		topic	reading	due	notes
1	March 30 (M)	ordered fields	1,3 (skim 2)		LEC1
2	April 1 (W)	the real numbers	4		LEC2
3	April 6 (M)	properties of R, sequences	5,7-8	HW1,HW1_SOL	LEC3
4	April 8 (W)	sequences	7-8	HW2,HW2_SOL	LEC4
5	April 13 (M)	limit theorems	9		LEC5
6	April 15 (W)	monotone sequences, limsup and liminf	10, 12	HW3 ,HW3_SOL	LEC6
7	April 20 (M)	limsup and liminf, Cauchy sequences	10, 12		LEC7
-	April 22 (W)	midterm 1		PracMid1
8	April 27 (M)	Cauchy sequences	10		LEC8
9	April 29 (W)	subsequences	11	HW4
10	May 4 (M)	subsequences	11
11	May 6 (W)	limsup, liminf, and subseq limits	12	HW5
12	May 11 (M)	continuous functions	17
13	May 13 (W)	properties of continuous functions	17-18
14	May 18 (M)	intermediate value theorem	18
15	May 20 (W)	uniformly continuous functions	19
-	May 25 (M)	(no class - Memorial Day)
-	May 27 (W)	midterm 2	-
16	June 1 (M)	sequences of functions	24
17	June 3 (W)	series of functions	23-24
-	June 9 (T)	final exam, 12-3pm, GIRV 2127