Instructor:  
Kate Okikiolu
    okikiolu@math.ucsd.edu
Lectures: MWF 11-11:50am in PCYNH 120
Office Hours: W 2-3 in AP&M 7426
Teaching Assistants:
Patrick Driscoll     pdriscoll@math.ucsd.edu
   
Rosanna Haut     rhaut@math.ucsd.edu
   
Section: M 4pm in WLH 2112.
TA Office Hours: Tu 12-1 and F 10-11 in APM 6351,
    M 12-1 and Tu 11-12 in APM 6446.
Homework:   Homeowork 1, due
Jan 14..
  
Homeowork 2, due Jan 21..
  
Homeowork 3, due Jan 28..
  
Homeowork 4, due Feb 11.
  
Homeowork 5, also due Feb 11.  
Homeowork 6, due Feb 18.
  Homeowork 7, Will not be collected.
  
Homeowork 8, due Mar 6.  
Homeowork 9, due Mar 13.  
Text:
Principles of Mathematical Analysis" by Walter Rudin, third edition.
Other texts: There are many good texts.
Two texts which give a lot of explanation:
"Advanced Calculus" by Angus E. Taylor and W. Robert Mann.
"The Way of Analysis" by Robert Strichartz.
Less concise than rudin, but more of the big picture:
"Mathematical Analysis" (second edition) by Tom M. Apostol. Addison-Wessley.
A good text for the more advanced material: "Real Analysis" by Elias Stein and Rami Shakarchi.
Syllabus: 140ABC is a rigorous introduction to mathematical analysis. Most
of what we will cover in 140A is in
The topics are the real and complex number systems,
topology of Euclidean space, metric spaces,
continuous functions, differentiation, infinite series and products. A less rigorous
treatment is given in Math 142AB, but credit cannot be obtained for both 140AB and 142AB.
Prerequisites: Prerequisites: Math. 20F and MATH 109.
Exams:
Midterm 1: 
2008 midterm 1 from a different text book
  
Prof. Rothschild's midterm exam from Rudin
  
Midterm 2: 
2008 midterm 2 from a different text book
  
2008 another midterm 2 from a different text book
   Midterm 2 will go up to and including Theorem 3.7.
Final:  
2008 final from a different text book
  
Prof. Rothschild's final exam from Rudin
  
Cambridge University past papers (Click on Part 1A, All questions,
Analysis I.)
Grading:
Homework: 20%,  
2 midterm exams: 15% each,   final exam: 50%.
(The lowest homework score will not be counted. Missed exams will
count zero.)
Approximate Lecture Schedule (may be updated during the course):
The day after each lecture,
I might write a lecture summary which can be obtained
by clicking the relevant section number.
| wk | date | Monday | Wednesday | Friday |
| 1 | 1/5 | holes in the rational numbers | real numbers | properties of the reals |
| 2 | 1/12 | Complex vectors | Countable and Uncountable sets | Countable and Uncountable sets |
| 3 | 1/19 | Holiday | 2.9-2.11 | 2.12-2.14 |
| 4 | 1/26 | 2.15-2.21 | 2.22-2.30 | Exam |
| 5 | 2/2 | 2.31-2.35 | 2.36-2.40 | 2.41-2.44 |
| 6 | 2/9 | 2.45-2.47 | 3.1-3.3 | compactness |
| 7 | 2/16 | Holiday | 3.11-3.19 | 3.20-3.25 |
| 8 | 2/23 | 3.26-3.31 | Exam | |
| 9 | 3/2 | |||
| 10 | 3/9 | |||
| 11 | 3/17 |