Real Analysis (Fall 1997)

	Lecture	Lab/section
Location:	372 Appl. Sci.	Mo 2-3.10 pm @ 216 Cowell College or
Schedule:	TTh, 2:00-3:45 pm	Wed 7-8.10pm @ 159 Social Sciences II
	Instructor	TA
Name:	Jie Qing	Thomas Zeitlhoefler
Office:	Applied Sciences Building 359C	Applied Sciences 356
Hours:	Tue. 10:00-11:00am Th.10:00-11:00am and 4:00-5:00pm	This Week only: Mo 4-5, Wed 4.30-6.30
Phone:	X93711	X94100
E-mail:	qing@cats.ucsc.edu	zeitlhfl@cats.ucsc.edu

Additional TA information

Please don't be shy to come to my office hours! If I have to sit there alone, it's a pain in the [CENSORED] ...

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Course description

The basic concepts of one-variable calculus are treated carefully and rigorously. Set theory, construction of the real number system, topology of real line, continuity, properties of continuous functions, differentiation.

Course prerequisites

Math-22 or Math-23B, and either Math 100 or Cse-101

Reference materials

"Principles of Mathematical Analysis" by Walter Rudin

Lecture and text reading schedule

Sept. 25: Please read the Preface and Section 1.1-1.3, p. 1-18 of the Textbook "The way of analysis" Sept. 29: Please read Section 1.8 p18-21, and Section 2.1 p25-37. Oct. 2: Please read Section 2.2 p38-49. Oct. 7: Please read Section 2.2-2.3 p 45-56. Oct. 9: Please read Section 2.3-2.4-2.5 p55-72 Oct. 14: Please read Section 3.1 p73-85 Oct. 16: Please read Section 3.2 p86-98. Oct. 21: Please read Section 3.3 p99-106. Oct. 23: Please review chapter 1 -3. The summaries in each chapter are good. So are the notes I distributed in classes. Oct. 28: MIdterm Oct. 30: Solution to midterm. Nov. 4: Please read Section 4.1 p111-127. Nov. 6: Please read Section 4.1-4.2 p 111-139. Nov. 11: Please read Section 4.2-4.3 p 127-141. Nov. 13: Please read Section 5.1-5.2 p 143-157. Nov. 18: PLease read Section 5.2 p 153-165. Nov. 20: Please read Section 5.3 p 165-171.

Assignments

Sept. 25, Class 1: 1.1.3 Exercises 2.3. 1.2.3 Exercises 1.2.3.4.7* Sept. 29, Class 2: 2.1.3 Exercises 3.5.6.7.8.9* Oct. 2, Class 3: 2.2.4 Exercises 1. 2*. 3. 5. 7. 8.(b) 11. 12. Oct. 7, Class 4: 2.3.3 Exercises 1.2.3.8.9.10* Oct. 9, Class 5: No assignment. Oct. 14, Class 6: 3.1.3 Exercises 1.2.5.7*.8.9.12. Oct. 16, Class 7: 3.2.3 Exercises 1. 2. 4. 5. 6*. 7. Oct. 21, Class 8: 3.2.3 Exercises 8. 10. 14. 3.3.1 Exercises 1. 4. 5. 6. 8. Oct. 23, Class 9: No assignments. But please review your homeworks to prepare for the midterm. Oct. 28, Class 10: Midterm. Oct. 30, Class 11: Redo the modterm (will be counted as half of midterm credit). Nov. 4, Class 12: 4.1.5 Exercises 1. 2. 3. 4. 6. 8. Nov. 6, Class 13: 4.1.5 Exercises 10. 12. 13. 15*. 4.2.4 Exercises 4.8.9. Nov. 11, Class 14: 4.2.4 Exercise 1.2.3.5.10. Nov. 13, Class 15: 5.1.3 Exercises 1.2.3.5.9*. Nov. 18, Class 16: 5.2.4 Exercises 2.4.6.10*.11. Nov. 20, Class 17: 5.3.4 Exercises 1.2.4.5.11.12*. -* means optional

Tests and exams

One midterm (one and a half hours) is scheduled on Oct. 28, Tue. It will cover the first threee chapters. The final is scheduled on Tue. Dec. 9, 4:00-7:00pm.

Important notes

The final grade will be including: 1. 30% in Homework 2. 30% in Midterm 3. 40% in Final.