Math 1
Calculus with Algebra
Last updated September 6, 2013

## Syllabus

The following is a tentative syllabus for the course. On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate. The textbook section listed for each day is the one that we intend to cover for that day, and it should be read before coming to class.

Lectures Sections in Text Brief Description
9/16   Overview/ Preview
9/17 (x-hour) 1.1 Four Ways to Represent a Function
9/18 1.2 Mathematical Models: A Catalog of Essential Functions
9/20 App D An overview of trigonometry
9/23 1.3 New Functions from Old Functions
9/24 (x-hour)   Quiz1
9/25 1.5 Exponential Functions
9/27 1.6 Inverse Functions and Logarithms
9/30 2.1 The Tangent and Velocity Problem
10/1 (x-hour)   Quiz2
10/2 2.2 The Limit of a Function
10/4 2.3 Calculating Limits Using the Limit Laws
10/7 2.5 Continuity
10/8 (x-hour)   Quiz3
10/9 2.6 Limits at Infinity: Horizontal Asymptotes
10/11 2.7 Derivative and Rates of Change
10/14 2.8 The Derivative as a Function
10/15 (x-hour)   Quiz4
10/16 3.1 Derivatives of Polynomials and Exponential Functions
10/18 3.2 The Product and Quotient Rules
10/21 3.3 Derivatives of Trigonometric Functions
10/22 (x-hour)   Quiz5
10/23 3.4 The Chain Rule
10/25 3.5 Implicit Differentiation
10/28 3.6 Derivatives of Logarithmic Functions
10/29 (x-hour)   Quiz6
10/30 3.7 Rates of Change in the Natural and Social Sciences
11/1 3.9 Related Rates
11/4 4.1 Maximum and Minimum Values
11/5 (x-hour)   Quiz7
11/6 4.2 The Mean Value Theorem
11/8 4.3 How Derivatives Affect the Shape of a Graph
11/11 4.4 Indeterminate Forms and L'Hospital's Rule
11/12 (x-hour)   Quiz8
11/13 4.7 Optimization Problems
11/15 4.9 Antiderivatives
11/18   Review
11/19 (x-hour)   Review

Nicolas Petit
Last updated September 6, 2013