| Math 139 | Fall 2009 |
This is a tentative schedule of lecture topics, exams and assignments. You are expected to read and study the text as we go along. Whether you study the text before or after the lecture is up to you; the best approach might be to do both. Assignments are due at the beginning of class on the indicated due date.
The assignments and handouts are PDF files which may be viewed or printed with a recent version of the free Adobe Acrobat Reader.
I stress that the exam times and assignment due dates indicated here are subject to change.
| Date | Topics | Text | Assignments |
| Tuesday August 25 | Sets, truth tables | 1.1, 1.4 | Assignment 1 (due September 1) |
| Thursday August 27 | Fields; ordered fields | 1.2 | |
| Tuesday September 1 | Inequalities; Archimedean property;the well-ordering and induction principles | 1.3 | Assignment 2 (due September 8) |
| Thursday September 3 | Functions;countable sets | 2.1 | |
| Tuesday September 8 | Uncountable sets | 2.2 | Assignment 3 (due September 15) |
| Thursday September 10 | Sequences, convergence, examples | 2.2 | |
| Tuesday September 15 | Properties of convergent sequences, Axiom C | 2.3, 2.4 | Assignment 4 (due September 22) |
| Thursday September 17 | Completeness, least upper bound, Cauchy sequences | 2.5 | |
| Tuesday September 22 | Equivalence relations;construction of the real numbers using Cauchy sequences; Bolzano-Weierstrass | 3.1 | Assignment 5 (due September 29) |
| Thursday September 24 | Uniform continuity | 3.2 | |
| Tuesday September 29 | Riemann integral | 3.3 | Assignment 6 (due October 13) |
| Thursday October 1 | Existence of the Riemann integral | ||
| Tuesday October 6 | Fall Break! | ||
| Thursday October 8 | |||
| Tuesday October 13 | Existence of the Rieman integral | Assignment 7 (due October 20) | |
| Thursday October 15 | Properties of the Riemann integral | ||
| Tuesday October 20 | Exam | Assignment 8 (due October 27) | |
| Thursday October 22 | Differentiable functions | ||
| Tuesday October 27 | Fundamental Theorems of Calculus | Assignment 9 (due November 3) | |
| Thursday October 29 | Taylor Series | ||
| Tuesday November 3 | Taylor; functions of several variables | Assignment 10 (due November 10) | |
| Thursday November 5 | Functions of several variables | ||
| Tuesday November 10 | Derivative of functions of several variables | Assignment 11 (due November 17) | |
| Thursday November 12 | Pointwise and uniform convergence | ||
| Tuesday November 17 | Properties of uniform convergence; the sup norm | Assignment 12 (due November 24) | |
| Thursday November 12 | Picard iteration | ||
| Tuesday November 24 | Metric spaces | Assignment 13 (due December 3) | |
| Thursday November 26 | Turkey! |