Math 140A - Foundations of Analysis     Winter 2009
Here is my Final expression of love for 140A students. You need to Promise not to cheat on me.     Dr. Kate    x
Grading Key


Check out   Patrick's site     for solutions.

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 12008 midterm 1 from a different text book    Prof. Rothschild's midterm exam from Rudin   
Midterm 22008 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