# Math 1: Calculus with Algebra and Trigonometry

Last updated August 11, 2009

 Course Information Main Page Homework Exams

# Syllabus

The following is a rough syllabus for the course.

Lectures
Section In Text
Brief Description
9/23 Overview/Preview
9/25 Algebra Review
9/28 1.1 Four Ways to Represent a Function
x-hour Quiz
9/30 1.2 Mathematical Models
10/2 1.3 New Functions from Old
10/5 1.5 Exponential Functions
x-hour Quiz
10/7 1.6 Inverse Functions and Logarithms
10/9 2.1 The Tangent and Velocity Problems
10/12 2.2 The Limit of a Function
x-hour Quiz
10/14 2.3 Calculating Limits using the Limit Laws
10/16 2.5 Continuity
10/19 2.6 Limits at Infinity: Horizontal Asymptotes
x-hour Quiz
10/21 2.7 Derivatives and Rates of Change
10/23 2.8 The Derivative as a Function
10/26 3.1 Derivatives of Polynomials and Exponential Functions
x-hour Quiz
10/28 3.2 The Product and Quotient Rules
10/30 3.3 Derivatives of Trigonometric Functions
11/2 3.4 The Chain Rule
x-hour Quiz
11/4 3.5 Implicit Differentiation
11/6 3.6 Derivatives of Logarithmic Functions
11/9 3.9 Related Rates
x-hour Quiz; Derivatives of Inverse Trig Functions
11/11 3.10 Linear Approximation and Differentials
11/13 4.1 Maximum and Minimum Values
11/16 4.2 The Mean Value Theorem
x-hour Quiz
11/18 4.3 How Derivatives Affect the Shape of a Graph
11/20 4.4 Indeterminate Forms and L'Hopital's Rule
11/23 4.5 Curve Sketching
11/25 Thanksgiving Break: 11/25 - 11/29
11/30 4.7 Optimization Problems
12/2 Final Exam Review