| Lecture | Date | Topic
|
| 1 | Tue 9/1 | Basic properties of real numbers
|
| 2 | Thu 9/3 | Rational and irrational numbers
|
| 3 | Tue 9/8 | Principle of mathematical induction
|
| 4 | Thu 9/10 | Functions
|
| 5 | Tue 9/15 | Functions (cont.)
|
| 6 | Thu 9/17 | Graphs
|
| 7 | Tue 9/22 | Graphs (cont.)
|
| 8 | Thu 9/24 | Polar coordinates
|
| --- | Tue 9/29 | No class (Monday schedule)
|
| 9 | Thu 10/1 | Limits
|
| 10 | Tue 10/6 | Limits (cont.)
|
| 11 | Thu 10/8 | Workshop I
|
| 12 | Tue 10/13 | Midterm I
|
| 13 | Thu 10/15 | Continuous functions
|
| 14 | Tue 10/20 | Three basic theorems
on continuous functions
|
| 15 | Thu 10/22 | Least upper bounds and completeness of R
|
| 16 | Tue 10/27 | Proof of the three basic theorems
|
| 17 | Thu 10/29 | Derivatives
|
| 18 | Tue 11/3 | Derivatives (cont.)
|
| 19 | Thu 11/5 | Differentiation rules
|
| 20 | Tue 11/10 | Differentiation
rules (cont.)
|
| 21 | Thu 11/12 | Workshop II
|
| 22 | Tue 11/17 | Midterm II
|
| 23 | Thu 11/19 | Critical points and
extrema
|
| 24 | Tue 11/24 | Mean value theorem
|
| --- | Thu 11/26 | No class (Thanksgiving)
|
| 25 | Tue 12/1 | Further applications of the derivative
|
| 26 | Thu 12/3 | Convexity
|
| 27 | Tue 12/8 | Inverse functions
|
| 28 | Thu 12/10 | Workshop III
|