Math 123

Functions and Differential Calculus

General Information Schedule Homework

Schedule

We will cover most of the material in Chapters 1-4.

Class Number Date Sections in Text Brief Description
1 Friday, 8/28 1.1 Introduction, Discussion: "What is Mathematics?", Functions
2 Monday, 8/31 1.1 Functions and Change
3 Wednesday, 9/2 1.2 Exponential Functions
4 Friday, 9/4 1.2 - 1.3 Exponential Functions, Composition of Functions, Shifting and Scaling Functions
5 Monday, 9/7 1.3 Shifting and Scaling Functions, Even and Odd Functions, Inverses
6 Wednesday, 9/9 1.3 - 1.4 Inverse Functions, Logarithmic Functions
7 Friday, 9/11 1.4 - 1.5 Logarithmic and Trigonemtric Functions
8 Monday, 9/14 1.5 Trigonmetric Functions
9 Wednesday, 9/16 1.6 Polynomials and Rational Functions
10 Friday, 9/18 1.7 Continuity
11 Monday, 9/21 1.7 - 1.8 Continuity and Limits
12 Wednesday, 9/23 1.8 Limits
13 Friday, 9/25 2.1 Measuring Speed
14 Monday, 9/28 2.2 Derivative at a Point
15 Wednesday, 9/30 2.2 - 2.3 Derivative at a Point, The Derivative Function
16 Friday, 10/2 - First Exam
17 Monday, 10/5 2.3 - 2.4 The Derivative Function, Interpreting the Derivative
18 Wednesday, 10/7 2.4 - 2.5 Interpreting the First and Second Derivatives
19 Friday, 10/9 2.6 Differentiability
20 Monday, 10/12 3.1 Power Rule, Sum Rule, Derivatives of Polynomials
21 Wednesday, 10/14 3.2 Derivatives of Exponential Functions
22 Friday, 10/16 3.3 Product and Quotient Rules
- - - Fall Break
23 Monday, 10/26 3.3 - 3.4 Product and Quotient Rule Review, The Chain Rule
24 Wednesday, 10/28 3.4 The Chain Rule
25 Friday, 10/30 3.5 Derivatives of Trigonometric Functions
26 Monday, 11/2 3.6 Derivatives of Inverse Functions
27 Wednesday, 11/4 3.7 Implicit Functions
28 Friday, 11/6 3.9 - 3.10 Linear Approximations, The Mean Value Theorem
29 Monday, 11/9 3.10 - 4.1 The Mean Value Theorem, Using the First and Second Derivatives
30 Wednesday, 11/11 4.1 - 4.2 Using the First and Second Derivatives, Optimization
31 Friday, 11/13 4.2 Optimization
32 Monday, 11/16 4.4 Optimization, Geometry, and Modeling
33 Wednesday, 11/18 4.4 Optimization, Geometry, and Modeling
34 Friday, 11/20 - Second Exam
35 Monday, 11/23 4.3 Families of Functions
- Wednesday, 11/25 - Class Canceled
- Friday, 11/27 - Thanksgiving Break
36 Monday, 11/30 4.6 Rates and Related Rates
37 Wednesday, 12/2 4.6 - 4.7 Related Rates, L'Hopital's Rule
38 Friday, 12/4 4.7 L'Hopital's Rule
39 Monday, 12/7 4.8 Parametric Equations
40 Wednesday, 12/9 4.8 Parametric Equations
41 Friday, 12/11 - Review