Topic |
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Description of functions of one independent variable |
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Combinations of functions / Logarithmic and Exponential Functions |
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Limit of a Function , Limit Laws , Squeeze Law |
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Conditions for continuity of a function, continuous functions |
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The derivative: definition, rules, examples |
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The Chain Rule for calculating derivatives |
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Maximum and minimum of functions in a closed domain |
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Derivatives of trig, exponential, & log functions + logarithmic differentiation |
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Derivatives of Inverse Trig Functions |
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Inverse Functions and Implicit Differentiation |
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Vertical, Horizontal, and Slant Asymptotes |
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Important Theorems in Calculus |
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Indeterminate Forms - types, procedure to evaluate them |
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Approximation of Integrals - the Riemann Sum |
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Introduction to Evaluation of Integrals |
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Properties of Integrals |
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Fundamental Theorem of Calculus |
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Growth and Decay Applications / Heating and Cooling Applications |
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Related Rate Applications and Optimization |
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Integration using methods of substitution and Calculation of Arc Lengths |
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Area Calculations and Surface Area of Revolution |
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Volume of Revolution Calculations using Disks and Shells |
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Linear Approximation of a Function |
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Newton's Method |
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Numerical Integration --- Five Cases |
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