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Notes available Summer 2005
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Mastery Worksheet -
Mastery Worksheet Answers Mastery Test - Mastery Test Answers Chapter 1 – Functions and Models 1-1: Four ways to represent a function 1-2: Mathematical Models: A Catalog of Essential Functions 1.3: New Functions from Old Functions Chapter 2 - Limits and Rates of Change 2.1: The Tangent 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 2.6: Tangents Velocities and Other Rates of Change Chapter 3 – Derivatives 3.1: Derivatives 3.2: The Derivative as a Function 3.3: Differentiation Formulas 3.4: Rates of Change in the Natural and Social Sciences 3.5: Derivatives of Trigonometric Functions 3.6: The Chain Rule 3.7: Implicit Differentiation 3.8: Higher Derivatives 3.9: Related Rates 3.10: Linear Approximations and Differentials Chapter 4 - Applications of Differentiation 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 4.6: Graphing with Calculus and Calculators 4.7: Optimization Problems 4.8: Applications to Economics 4.9: Newton’s Method 4.10: Antiderivatives Chapter 5 - Integrals 5.1: Areas and Distances 5.2: The Definite Integral 5.3: The Fundamental Theorem of Calculus 5.4: Indefinite Integrals and the Total Change Theorem 5.5: The Substitution Rule Chapter 6 - Applications of Integration 6-1: Areas Between Curves 6-2: Volumes 6-3: Volumes of Cylindrical Shells 6-4: Work 6-5: Average Value of a Function |
