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**Home**
1. **Limits of Functions (including one-sided limits)**
 * Calculating Limits Using Algebra
 * Estimating Limits from Graphs or Tables Using Data
 * Asymptotic and Unbounded Behavior (vertical and horizontal asymptotes)
 * Describing Asymptotic Behavior in Terms of Limits Involving Infinity

2. **Continuity**
 * When is a Function Continuous at a Point x = a?
 * Understanding Continuity in Terms of Limits
 * Intermediate Value Theorem

3. **Differential Calculus**
 * What is a Derivative?
 * Definition of the Derivative of a Function
 * Definition of the Derivative at a Point x = a
 * Relationship between Differentiability and Continuity
 * Tangent lines vs. Normal lines
 * Theorems on Differentiation (power, chain, etc.)
 * First Derivative Test
 * Second Derivative Test
 * Mean Value Theorem
 * Rolle’s Theorem
 * Absolute vs. Relative Extrema
 * Rectilinear Motion Problems
 * Implicit Differentiation
 * Related Rates
 * Optimization
 * Given the Graph of f ′(x), Sketch a Possible Graph of f(x)
 * Use of the Calculator

4. **Integral Calculus**
 * Antiderivatives
 * Indefinite Integrals: Polynomial, Trig, Logs/Exp
 * Definite Integrals: Fundamental Theorem of Calculus Parts I and II
 * Integration Techniques: Power, Chain, Log/Exp, u-substitution
 * Properties of Definite Integrals
 * Riemann Sum Definition
 * Estimating Area using Rectangles (left, right, midpoint) and Trapezoids
 * Area
 * Volumes of Solids of Revolution
 * Volume with Known Cross Sections
 * Average Value/Mean Value Theorem for Integrals
 * Differential Equations (Separation of Variables)
 * Slope Fields
 * Use of the Calculator