Pre-Calculus

FUNCTIONS

Determine the Domain and Range * Evaluating * Transformations * Even and Odd * Increasing and Decreasing Intervals * Extrema * Evaluate Piecewise * Graph Piecewise * Composition * Inverse

POLYNOMIALS

Characteristics of a Graph * End Behavior * Find the Zeros by Factoring * Long Division * Synthetic Division * GraphingRemainder and Factor Theorem * Given Zero Find the Remaining * Rational Zero Test * Descartes Rule of Signs * Find the Zeros Without Factoring * Write Rational Zeros * Write Irrational Zeros * Write Imaginary Zeros * Write Complex Zeros

RATIONAL FUNCTIONS

Graph the Reciprocal Function * Identify X and Y-intercepts * Identify Asymptotes * Graph Rational Functions * Simplify Complex Fractions

LOGARITHMS

Graph Exponential * Graph Logarithmic * Convert Between Exponential and Logarithmic Form * Evaluate Logarithms * Condense Logarithmic Expressions * Expand Logarithmic Expressions * Solve Exponential Equations * Solve Logarithmic Equations * Compound Interest Problems

TRIGONOMETRY

Understanding Angles * Sketching Angles * Determine the Quadrant the Angle Lies In * Identify the Reference Angle * Determine the Complement and Supplement of an Angle * Convert Angles Between Radian and Degree Measure * Convert Angles Between DMS and Decimal Measure * Determine Co-terminal Angles

Understanding Right Triangle Trigonometry * Evaluate the Six Trigonometric Functions Given a Triangle * Evaluate the Six Trigonometric Functions Given a Point * Evaluate the Six Trigonometric Functions Given an Equation and Constraint

Understanding the Unit Circle * Find the Point on the Unit Circle Given the Angle * Evaluate Trigonometric Functions Using the Unit Circle * Evaluate the Six Trigonometric Functions Using the Unit Circle * Evaluate Trigonometric Functions with a Calculator * Evaluate Trigonometric Functions Using Identities

Understanding Graphing * Graph Sine and Cosine * Graph Tangent and Cotangent * Graph Secant and Cosecant

Understanding Inverses in Trigonometry * Evaluate the Inverse of Trigonometric Functions * Evaluate the Composition of Trigonometric Functions * Solve Word Problems With Trigonometry

OBLIQUE TRIANGLES

Understanding Oblique Triangles * Law of Sines * Law of Cosines * Determine the Area of Oblique Triangles

VECTORS

Understanding Vectors * Given Two Points Determine Component Form and Magnitude * Determine Magnitude and Direction * Given Magnitude and Direction Write in Component Form * Determine and Graph Resultant Vectors * Determine Unit Vectors * Determine Angle Between Two Vectors * Determine if Two Vectors are Orthagonal, Parallel or Neither

PARAMETRIC AND POLAR EQUATIONS

Understanding Parametric Equations * Eliminating the Parameter

Understanding Polar Equations * Convert Points Between Polar and Rectangular * Determine Multiple Representations of Polar Points * Convert Between Polar and Rectangular Equations

SEQUENCES AND SERIES

Understanding Sequences * Find the First 5 Terms of Arithmetic Sequence * Write the Explicit Formula for Arithmetic Sequence * Determine the nth Term of Arithmetic *

Find the First 5 Terms of a Geometric Sequence * Write the Explicit Formula for Geometric Sequences * Determine the nth Term of Geometric Sequence

Expand using Binomial Expansion * Simplify an Expression with Factorials * Recursive Sequences * Prove by Induction

Find the First 5 Terms of a Sequence * Write the Explicit Formula for a Sequence * Determine the nth Term of a Sequence * Determine if a Sequence is Arithmetic, Geometric or Neither *

Understanding Series * Determine the Partial Sum for an Arithmetic Series * Write the Rule for an Arithmetic Series * Determine the Sum for a Geometric Series * Write the Rule for a Geometric Series

CONIC SECTIONS

Understanding the Parabola * Graph a Parabola in Standard Form * Graph a Parabola in General Form * Write the Equation of a Parabola

Understanding the Circle * Graph a Circle in Standard Form * Graph a Circle in General Form * Write the Equation of a Circle

Understanding the Ellipse * Graph an Ellipse in Standard Form * Graph an Ellipse in General Form * Write the Equation of an Ellipse

Understanding the Hyperbola * Graph a Hyperbola in Standard Form * Graph a Hyperbola in General Form * Write the Equation of a Hyperbola