# Pre-Calculus Academic Library

*First Semester*

## Pre-Calculus Online First Semester

**UNIT 1 –** **RELATIONS AND FUNCTIONS**

**Course Overview****Ordered-Pair Numbers: Relations****Ordered-Pair Numbers: Functions****Ordered-Pair Numbers: Rules of Correspondence****Quiz 1: Relations and Functions****Algebra of Functions: Notation****Algebra of Functions: Arithmetic****Algebra of Functions: Composition****Algebra of Functions: Inverse****Quiz 2: Relations and Functions****Test****Alternate Test****Glossary and Credits**

**UNIT 2 – FUNCTIONS**

**Linear Functions: Graphs****Linear Functions: Equations****Quiz 1: Linear Functions****2nd-Degree Functions: Solutions****Relationships Between Zeros and Coefficients****Quadratic Inequalities****Quiz 2: Second-Degree Functions****Polynomial Functions****Nth-Degree Equations****Solving Polynomial Equations****Quiz 3: Polynomial Functions****Complex Numbers****Operations with Complex Numbers****Conjugates and Polynomial Identities****Distant and Midpoint****Quiz 4: Complex Numbers****Rational Inequalities****Greatest Integer Function****Exponential Function****Logarithmic Function****Function Combinations****Quiz 5: Special Functions****Test****Alternate Test****Glossary and Credits**

**UNIT 3 – TRIGONOMETRIC FUNCTIONS**

**Definition of the Trigonometric Functions****Quiz 1: Trigonometric Functions****Evaluation of Functions****Quiz 2: Evaluation of Functions****Angle Location****Quiz 3: Angle Location****Reduction Formulas****Quiz 4: Reduction Formulas****Quadrantal Angles****Quiz 5: Quadrantal Angles****Special Angles****Quiz 6: Special Angles****Radian Measure****Quiz 7: Radian Measure****Test****Alternate Test****Glossary and Credits**

**UNIT 4 –** **CIRCULAR FUNCTIONS AND THEIR GRAPHS**

**Circular Functions****Quiz 1: Circular Functions****Circular Functions of Special Angles****Quiz 2: Circular Functions of Special Angles****Graphs of Sin and Cos****Quiz 3: Graphs of Sin and Cos****Other Graphs****Quiz 4: Other Graphs****Applications****Parametric Equations****Quiz 5: Applications****Amplitude of Circular Functions****Quiz 6: Amplitude of Circular Functions****Period of Circular Functions****Quiz 7: Period of Circular Functions****Phase Shift of Circular Functions****Quiz 8: Phase Shift of Circular Functions****Test****Alternate Test**

**Glossary and Credits**

**UNIT 5 –** **IDENTITIES AND FUNCTIONS OF MULTIPLE ANGLES**

**Reciprocal Relations****Quiz 1: Reciprocal Relations****Pythagorean Relations****Quiz 2: Pythagorean Relations****Quotient Relations****Quiz 3: Quotient Relations****Trigonometric Identities****Quiz 4: Trigonometric Identities****Cosine of the Sum of Two Angles****Quiz 5: Cosine of the Sum of Two Angles****Additional Sum and Difference Formulas****Quiz 6: Additional Sum and Difference Formulas****Double- and Half-Angle Formulas****Quiz 7: Double- and Half-Angle Formulas****Identities****Quiz 8: Identities****Trigonometric Equations****Quiz 9: Trigonometric Equations****Test****Alternate Test****Glossary and Credits**

**UNIT 6 –** **SEMESTER REVIEW AND EXAM**

**Review****Exam****Alternate Exam—Form A****Alternate Exam—Form B**