McGee - Honors Calculus
Topic outline
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* Lines
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* Functions & Their Graphs
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* Exponential & Logarithmic Functions
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* Trigonometric Functions
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1.1 A Preview of Calculus
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1.2 Finding Limits Graphically and Numerically
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1.3 Evaluating Limits Analytically
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1.4 Continuity and One-Sided Limits
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1.5 Infinite Limits
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2.1 The Derivative and the Tangent Line Problem
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2.2 Basic Differentiation Rules and Rates of Change
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2.3 Product and Quoitent Rules and Higher-Order Derivatives
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2.4 The Chain Rule
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2.5 Implicit Differentiation
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2.6 Related Rates
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3.1 Extrema on an Interval
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3.2 Rolle's Theorem & The Mean Value Theorem
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3.3 Increasing & Decreasing Functions & The First Derivative Test
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3.4 Concavity & The Second Derivative Test
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3.5 Curve Sketching
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3.6 Optimization
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4.1 Antidervatives and Indefinite Integration
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4.2 Integration by Substitution
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4.3 Sigma Notation
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4.4 Riemann Sums and Area Under the Curve
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4.4a Finding Exact Area Under the Curve
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4.4b The Definite Integral as Area
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4.5 The Accumulation Function
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4.6 The Fundamental Theorem of Calculus
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