PRE-REQ. REVIEW
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| Graphing |
| Trigonometry |
| Graphing Calculator |
| Exponential Function Review |
| Logarithmic Function Review |
| UNIT 1 |
| Limits of Functions |
| Limits Containing Trigonometric Functions |
| Continuity & 1-Sided Limits |
| Intermediate Value Theorem |
| Infinite Limits |
| Limits to Infinity |
| UNIT 2 |
| Limit Definition of Derivative |
| Differentiability |
| Basic Differentiation Rules |
| Average & Instantaneous Rate of Change |
| Product & Quotient Rules |
| Chain Rule |
| Implicit Differentiation |
| Related Rates |
| UNIT 3 |
| Differentiation of Exponential Functions |
| Differentiation of Logarithmic Functions |
| Inverse Functions & Slope |
| Differentiation of Inverse Trigonometric Functions |
| L'Hopitals Rule |
| UNIT 4 |
| Extrema on an Interval |
| Rolle’s Theorem & Mean Value Theorem(MVT) |
| Inc./Dec. Functions & The 1st Derivative Test |
| Concavity & the Second Derivative Test |
| Linearization and Tangent Line Approximation |
| Optimization |
| UNIT 5 |
| Area of a Region using Left/Right/Mp/Trap. Sums |
| The Definite Integral and Riemann Sums |
| Antidifferentiation & Indefinite Integration |
| Differential Equations and Slope Fields |
| Applications of the Definite Integral |
| The 1st and 2nd Fundamental Theorem of Calculus |
| The Mean Value Theorem for Integrals |
| UNIT 6 |
| Integration by Substitution |
| Logarithmic Functions and Integration |
| Integration of Exponential Functions |
| Inverse Trig. Functions and Integration |
| UNIT 7 |
| Area of a Region Between Curves |
| Volume of Rotational Solids(Disc and Washer Method) |
| Volume of Known Cross Sections |
| Volume of Rotational Solids(Shell Method)* |
| Arc Length & Area of Surfaces of Revolution* |
| UNIT 8 |
| Other Methods of Integration* |
| Integration by Parts* |