Applications of Integration: Area and Volume. Exponential and Logarithmic Integration. Riemann Sums and Area by Limit Definition. Differential Equations and Slope Fields. Antiderivatives and Indefinite Integration, including Trig Integration. Derivatives and Integrals of Inverse Trig Functions. Exponential and Logarithmic Differentiation. Differentials, Linear Approximation, and Error Propagation. Curve Sketching, including Rolle’s Theorem and Mean Value Theorem. Implicit Differentiation and Related Rates. 
Equation of the Tangent Line, Tangent Line Approximation, and Rates of Change.Basic Differentiation Rules: Constant, Power, Product, Quotient, and Trig Rules.Differential Calculus Quick Study Guide.Polar Coordinates, Equations, and Graphs.Law of Sines and Cosines, and Areas of Triangles.Linear and Angular Speeds, Area of Sectors, and Length of Arcs.Conics: Circles, Parabolas, Ellipses, and Hyperbolas.Graphing and Finding Roots of Polynomial Functions.Graphing Rational Functions, including Asymptotes.Rational Functions, Equations and Inequalities.Solving Systems using Reduced Row Echelon Form.The Matrix and Solving Systems with Matrices.Advanced Functions: Compositions, Even and Odd, and Extrema.Imaginary (Non-Real) and Complex Numbers.Solving Radical Equations and Inequalities.Solving Absolute Value Equations and Inequalities.Solving Quadratics by Factoring and Completing the Square.Introduction to Multiplying Polynomials.
Scatter Plots, Correlation, and Regression. Algebraic Functions, including Domain and Range. Systems of Linear Equations and Word Problems. Introduction to the Graphing Display Calculator (GDC). Direct, Inverse, Joint and Combined Variation. Coordinate System and Graphing Lines including Inequalities. Types of Numbers and Algebraic Properties. Introduction to Statistics and Probability. Powers, Exponents, Radicals (Roots), and Scientific Notation. Multiplying and Dividing, including GCF and LCM.
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