Calculus I MATH 150 Syllabus 
      Fall 2006
 
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)