MATH 157 Syllabus



Here is a preliminary version of the course syllabus (subject to minor change).

LectureDateTopic
1Tue 8/28Basic properties of real numbers
2Thu 8/30Rational and irrational numbers
3Tue 9/4Principle of mathematical induction
4Thu 9/6Functions
---Tue 9/11No class
5Thu 9/13Functions (cont.)
---Tue 9/18No class
6Thu 9/20Graphs
7Tue 9/25Graphs (cont.)
8Thu 9/27Polar coordinates
9Tue 10/2Limits
10Thu 10/4Limits (cont.)
11Tue 10/9Continuous functions
12Thu 10/11Three basic theorems on continuous functions
13Tue 10/16Workshop I
14Thu 10/18Midterm I
15Tue 10/23Least upper bounds and completeness of $\mathbb R$
16Thu 10/25Proofs of the three basic theorems
17Tue 10/30Derivatives
18Thu 11/1Derivatives (cont.)
19Tue 11/6Differentiation rules
20Thu 11/8Differentiation rules (cont.)
21Tue 11/13Workshop II
22Thu 11/15Midterm II
23Tue 11/20Critical points and extrema
---Thu 11/22No class
24Tue 11/27The mean value theorem
25Thu 11/29Further applications of the derivative
26Tue 12/4Convexity
27Thu 12/6Inverse functions
28Tue 12/11Workshop III

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