First Semester

Chapter 2

Evaluating Limits-all rules (2.1 and 2.2)
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More Limits-Limits involving infinity (2.1 and 2.2)
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Chapter 3

Graphing Derivatives and Derivatives and Continuity (3.1 and 3.2)
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Basic Derivatives-Power Rule (3.3)
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More Basic Derivatives-With Product and Quotient Rules (3.3)
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Derivative as Slope-Finding Slope of Tangent Lines (3.3)
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Finding the Equations of Tangent and Normal Lines (3.3)
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Second Derivatives and More Equations of Tangent Lines (3.3)
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Derivative as Instantaneous Rate of Change (3.4)
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Motion Problems and Average vs. Instantaneous Rates of Change (3.4)
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Derivatives of Trig Functions (3.5)
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Chain Rule (3.6)
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Chain Rule with Power Chain Rule (3.6)
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More Power Chain Rule (3.6)
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Implicit Differentiation (3.7)
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Finding Tangent Lines Using Implicit Differentiation (3.7)
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Derivatives of Inverse Trig Functions (3.8)
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Derivatives of Natural Logs (3.9)
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Derivatives of Logs and Exponential Functions (3.9)
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Chapter 4

Applications of Derivatives-First Derivative and Second Derivative Tests and Concavity Test (4.3)
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Optimization-Maximum and Minimum Area and Volume Problems (4.4)
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Related Rates (4.6)
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Second Semester

Chapter 5

Riemann Sums and Trapezoidal Rule (5.1 and 5.5)
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Fundamental Theorem of Calculus-Parts 1 and 2 (5.4)
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Integral as Area Under the Curve-Basic Definite Integrals (5.2 and 5.4)
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Basic Indefinite Integrals (5.4 and 6.1)
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Integrals of Trig Functions (5.4)
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Chapter 6

Solving Basic Differential Equations-Initial Value Problems (6.1)
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U-Substitution with Indefinite Integrals (6.2)
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U-Substitution with Definite Integrals (6.2)
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Exponential Growth and Decay (6.4)
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Separable Differential Equations and More Exponential Growth and Decay (6.4)
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Chapter 7

Total Area vs. Displacement and Average Value Formula (7.1-Average Value is from 5.3)
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Consumption Problems, More Initial Value, More Total Distance vs. Displacement (7.1)
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Area Between Curves (7.2)
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Volumes of Revolutions (7.3)
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Review

Derivatives and Integrals of Trig Functions (Review)
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Derivatives and Integrals of Inverse Trig Functions (Review)
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Cumulative Review
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More Cumulative Review
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