Course Description: Elements of set theory, numerical sequences and series, continuity and differentiability of functions of one and several variables.
Prerequisite: MAT 211 and MAT 271 with grade C or better.
Time & Place: M W 17:30--18:45 (SBS F101)
Textbook: Lecture Notes
Assignment: Exercises will be assigned and collected on
a regular basis (roughly once a week). They are an integral part
of the course.
This is a template of how to structure
your homework. Here is how I typeset the
template using LaTeX (an example to those who already have LaTeX
running in their system).
Online Resources: Here are some useful links:
Schedule
| 09/01 | Labor Day Notes 1 (New Version 9/14) | 09/03 | Well Ordering, PI, Real Numbers |
|---|---|---|---|
| 09/08 | Sup, Inf, Completeness of the reals | 09/10 | Sup, Inf, Completeness of the reals |
| 09/15 | Archimedean Property, Rationals, Irrationals | 09/17 | Finite, Infinite Sets |
| 09/22 | Intervals | 09/24 | Nested Intervals Property |
| 09/29 | Review | 10/01 | Test 1 |
| 10/06 | Notes 2 | 10/08 | Sequences, Convergency, Uniqueness of Limits |
| 10/13 | Monotone Sequences and Subsequences | 10/15 | Monotone Sequences and Subsequences |
| 10/20 | Bolzano Weierstrass Theorem | 10/22 | Cauchy Sequences |
| 10/27 | Cauchy Sequences | 10/29 | Limits of functions |
| 11/03 | Limits of functions | 11/05 | Limits of functions |
| 11/10 | Review | 11/12 | Test 2 |
| 11/17 | Notes 3 | 11/19 | Infinite Limits |
| 11/24 | Continuous Functions | 11/26 | Continuous Functions |
| 12/01 | Extreme Value Theorem | 12/03 | Extreme Value Theorem |
| 12/08 | Intermediate Value Theorem | 12/10 | Intermediate Value Theorem |
| 12/17 | Final 17:30--19:30 (SBS F101) |
Grading Scheme and course requirements Assignment
+ Presentation (30%) 2 Tests (20% Each) Final
(30%)
| A | A- | B+ | B | B- |
| 100-93 | 92-89 | 88-84 | 83-79 | 78-74 |
| C+ | C | C- | D | F |
| 73-69 | 68-64 | 63-59 | 58-50 | < 50 |
Expected outcomes Please refer to the departmental syllabus.
Policies For policies on academic integrity, accommodation for students with disabilities, due dates and make-up work and various other topics, please consult this page .