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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