| Lecture | Date | Topic
|
| 1 | Tue 8/30 | Basic properties of real numbers
|
| 2 | Thu 9/1 | Rational and irrational numbers
|
| 3 | Tue 9/6 | Principle of mathematical induction
|
| 4 | Thu 9/8 | Functions
|
| 5 | Tue 9/13 | Functions (cont.)
|
| 6 | Thu 9/15 | Graphs
|
| 7 | Tue 9/20 | Graphs (cont.)
|
| 8 | Thu 9/22 | Limits
|
| 9 | Tue 9/27 | Limits (cont.)
|
| - | Thu 9/29 | Workshop
|
| - | Thu 10/6 | First Midterm
|
| 10 | Tue 10/18 | Continuous functions
|
| 11 | Thu 10/20 | Three basic theorems
on continuous functions
|
| 12 | Tue 10/25 | Least upper bounds and completeness of R
|
| 13 | Thu 10/27 | Proof of the three basic theorems
|
| 14 | Tue 11/1 | Derivatives
|
| 15 | Thu 11/3 | Derivatives (cont.)
|
| 16 | Tue 11/8 | Differentiation rules
|
| 17 | Thu 11/10 | Differentiation
rules (cont.)
|
| - | Tue 11/15 | Workshop
|
| - | Thu 11/17 | Second Midterm
|
| 18 | Tue 11/22 | Critical points and local extrema
|
| 19 | Tue 11/29 | The Mean Value Theorem
|
| 20 | Thu 12/1 | Further applications of the derivative
|
| 21 | Tue 12/6 | Convexity
|
| 22 | Tue 12/13 | Inverse functions
|
| - | Thu 12/15 | Workshop
|