Calculus I MATH 150 Syllabus
Department of Mathematics and Statistics
Hunter College
Spring 2009
Text: Single Variable Calculus, 6th Edition, James Stewart , Brooks/Cole

Chapter 2:

2.1 The Tanget and Velocity Problems

2.2 The Limit of a Function

2.3 Calculating Limits Using the Limit Laws

2.4 The Precise Definition of a Limit

2.5 Continuity

Chapter 3:

3.1 Derivatives and Rates of Change

3.2 The Derivative as a Function

3.3 Differentiation Formulas

3.4 Derivatives of Trigonometric Functions

3.5 The Chain Rule

3.6 Implicit Differentiation

3.7 Rates of Change in the Natural and Social Sciences

3.8 Related Rates

3.9 Linear Approximation and Differentials

Chapter 4:

4.1 Maximum and Minimum Values

4.2 The Mean Value Theorem

4.3 How Derivatives Affect the Shape of a Graph

4.4 Limits at Infinity; Horizontal Asymptotes

4.5 Summary of Curve Sketching

4.7 Optimization Problems

4.9 Antiderivatives

Chapter 5:

5.1 Areas and Distances

5.2 The Definite Integral

5.3 The Fundamental Theorem of Calculus

5.4 Indefinite Integrals and the Net Change Theorem

5.5 The Substitution Rule

Chapter 6:

6.1 Areas Between Curves

6.2 Volumes

6.3 Volumes by Cylindrical Shells

6.4 Work (Optional if time permits)