# Math 1: Calculus with Algebra

Last updated November 28, 2011

# Syllabus

The following is a rough syllabus for the course. The textbook section listed for each day is the one that we intend to cover that day, and it should be read before coming to class.

Lectures
Section In Text
Brief Description
9/21 Overview/Preview
9/23 1.1 Four Ways to Represent a Function
9/26 1.2 Mathematical Models: A Catalog of Essential Functions
9/27 (x-hour) Appendix D Quiz 1; Trigonometry Review
9/28 Appendix D, 1.3 Trigonometric Functions; New Functions from Old Functions
9/30 1.3 Graph Transformations
10/3 1.3, 1.5 Composition of Functions
10/4 (x-hour) 1.5 Quiz 2; Exponential Functions
10/5 1.5, 1.6 Exponential Functions (cont.); Inverse Functions
10/7 1.6 Inverse Functions and Logarithms
10/10 2.1 Logarithms (cont.); The Tangent and Velocity Problems
10/11 (x-hour) Quiz 3
10/12 2.2 Limits of Functions
10/14 2.3 Infinite Limits
10/17 2.3 Techniques for Calculating Limits
10/18 (x-hour) Quiz 4
10/19 Exam review
10/21 NO CLASS
10/24 2.3 Limit Techniques and the Squeeze Theorem
10/25 (x-hour) 2.5 Quiz 5; Continuity
10/26 2.5 Continuity (continued)
10/28 2.6, 2.7 Limits at Infinity and Horizontal Asymptotes; The Definition of the Derivative
10/31 2.7, 2.8 Examples of Derivatives and the Derivative as a Function
11/1 (x-hour) 2.8 Quiz 5; Differentiability
11/2 3.1 Derivatives of Polynomials and Exponential Functions
11/4 3.2 The Product and Quotient Rules
11/7 3.3 Derivatives of Trigonometric Functions
11/8 (x-hour) Quiz 7; Exam Review
11/9 3.4 The Chain Rule
11/11 3.5, 3.6 The Chain Rule Revisited, Implicit Differentiation
11/14 3.6, 3.7 Implicit Differentiation and Derivatives of Logarithmic Functions
11/15 (x-hour) 1.6 Quiz 8; Inverse Trig Functions
11/16 3.6, 3.9 Derivatives of Inverse Trig Functions; Related Rates
11/18 3.9, 4.1 Related Rates (cont.); Maximum and Minimum Values
11/21 4.1, 4.3 How Derivatives Affect the Shape of a Graph
11/23 Thanksgiving Break: 11/23 - 11/27
11/28 4.5, 4.4 Summary of Curve Sketching and l'Hopital's Rule
11/29 (x-hour) 3.7, 3.8 Applications of Derivatives
11/30 4.2 The Mean Value Theorem