 Contents:

Squeeze Theorem for Limits. The Limit definition of Continuity. Introduction to Complex Numbers I. Introduction to Complex Numbers II. Adding and Subtracting Complex Numbers. Multiplying Complex Numbers. Dividing Complex Numbers.

Precalculus Final Exam Review

Trigonometric or Polar Form of Complex Numbers. DeMoivre's Theorem and Euler Formula. Roots of a Complex Number. Complex Quadratic Equations I. Complex Quadratic Equations II. Simplify Complex Rational Expressions. Introduction to Exponential Functions. Graphing Exponential Functions I. Graphing Exponential Functions II. Applying Exponential Functions I. Applying Exponential Functions II. Solving Exponential Equations with the Same Base. Introduction to Logarithmic Functions. Exponential and Logarithmic Functions. Logarithm Review Product Rule.

Logarithm Review Power Rule.

## Student and Teacher Resoureces for PreCalculus

Logarithm Review Change of Base Rule. Properties of Logarithms or Rules of Logarithms. Proof of Logarithm Properties. Expanding Logarithmic Expressions. Simplifying or Condensing Logarithmic Expressions. Simplifying and Expanding Logarithmic Expressions. Solving Logarithmic Equations I. Solving Logarithmic Equations II. Graphs of Logarithmic Functions.

Introduction to Conic Sections. Conic Sections - Circles I. Conic Sections - Circles II. Conic Sections - Ellipses I. Conic Sections - Ellipses II. Conic Sections - Parabolas. Conic Sections - Hyperbolas I. Conic Sections - Hyperbolas II. Conic Sections Summary. Identify and Graph Conic Sections. Introduction to Matrices. Matrix Addition and Subtraction I. Matrix Addition and Subtraction II.

Matrix Scalar Multiplication. Matrix Multiplication I. Matrix Multiplication II. Matrix Multiplication III. Identity Matrix. Determinant of a 2x2 Matrix.

### The University of Texas at El Paso - College of Science

Determinant of a 3x3 Matrix I. Determinant of a 3x3 Matrix II. Simplifying Determinant. Inverse of 2x2 Matrix.

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6. The Geometry of Hamiltonian Systems: Proceedings of a Workshop Held June 5–16, 1989.
7. Larson Precalculus – Precalculus With Limits 3e | Easy Access Study Guide.

Inverse of 3x3 Matrix. Singular Matrix - A Matrix with no Inverse. Row Reducing a Matrix to solve a System of Equations. Cramer's Rule. Using Determinant to find the Area of a Parallelogram. Using Determinant to find the Area of a Triangle and a Polygon.

## Mathematical Sciences

Cross Product of Vectors and Determinants area of triangle and parallelogram. Introduction to Sequences. Arithmetic Sequences I. Arithmetic Sequences II.

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