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Introduction

Parametric Equations Vectors
 * Summer Assignment**

Numerical Representation and Formal Definition Graphical Representation Algebraic Methods for Evaluating Limits L'Hospital's Rule Limit Theorems and Properties Continuity and Discontinuity Limits Involving Infinity Intermediate Value TheoremVolumes of Solids with Known Cross Sections
 * Take it to the LIMIT!**


 * Deriving Me CRAZY!!**
 * Graphical Representation **
 * Numerical Representations **
 * Two Definitions of Derivatives **
 * Derivative Techniques **
 * Derivative Rules **
 * Parametric Derivatives and Second Derivatives **
 * Implicit Differentiation **
 * Related Rates **
 * Uniqueness Theorem, Mean Value Theorem, Rolle's Theorem **
 * Critical points, Points of Inflection and Optimization **

Formal Def of Indefinite Integrals Integral Rules For All Functions Displacement, Velocity and Acceleration Riemann Sums and Trapezoidal Approximations Mean and Average Value Theorems for Integration Improper Integrals Integration by Parts Euler's Method Fundamental Theorem Areas Between Curves Volumes of Solids of Rotation Volumes of Solids with Known Cross Sections Solving Differential Equations by Separating Variables: Exponential Growth and Decay Slope FieldsThe Logistic Function: Including Solving Using Partial Fractions Integral Properties and Techniques Integrating Higher Power Trigonometric Functions
 * Ain't It Great to Integrate!**

Vector Calculus Power Series for Basic Functions Writing Series from Known Series Geometric Series and Sequences Taylor and McLaurin Series Interval of Convergence Using Ratio Technique Convergence Testing Error Analysis
 * What's Your Vector Power Series?**