Math 1012 Precalculus I - Functions
| Topic | Lecture | Resources |
|---|---|---|
| Linear Equations | Notes | Examples |
| Quadratic Equations | Notes | Examples |
| Functions | General Introduction and Functional Notation Notes |
Examples |
| Properties of the 12 Basic Functions | Notes | Examples |
| Average Rate of Change | Notes | Examples |
| Building Functions from Functions | Notes | Examples |
| Parametric Relations and Inverses | Notes | Examples |
| Graphical Transformations | Notes | Examples |
| Modeling with Functions | ||
| Linear and Quadratic Functions | Notes | Examples |
| Power Functions | Notes | Examples |
| Polynomial Functions | Notes | Examples |
| Real Zeros of Polynomial Functions | Notes | Examples |
| Complex Zeros | ||
| Rational Functions | Notes | Examples |
| Solving Equations in One Variable | Notes | Examples |
| Solving Inequalities in One Variable | Notes | Examples |
| Exponential and Logistic Functions | Notes | Examples |
| Logarithmic Functions | Notes | Examples |
| Properties of Logarithmic Functions | Notes | Examples |
| Exponential and Logistic Modeling | Notes | Examples |
| Equation Solving | Notes | Examples |
| Mathematics of Finance | ||
| Parametric Representations | Notes | Examples |
| Solving Systems of Equations | Notes | Examples |
| Partial Fractions | ||
| Conic Sections and Parabolas | ||
| Circles and Ellipses | ||
| Hyperbolas |
Math 1013 Precalculus II - Trigonometry
| Topic | Lecture | Resources |
|---|---|---|
| Angles and Their Measure | Notes | Examples |
| Trigonometric Functions of Acute Angles | Notes | Examples |
| Trigonometry: Circular Functions | Notes | Examples |
| Graphs of Tangent, Cotangent, Secant, and Cosecant | Notes | Examples |
| Graphs of Composite Trigonometric Functions | Notes | Examples |
| Inverse Trigonometric Functions | Notes | Examples |
| Solving Problems with Trigonometry | Notes | |
| Fundamental Trigonometric Identities | Notes | Examples |
| Proving Trigonometric Identities | Notes | Examples |
| Sum and Difference Identities | Notes | Examples |
| Multiple Angle Identities | Notes | Examples |
| The Law of Sines and The Law of Cosines | Notes | Examples |
| Polar Coordinates | Notes | Examples |
Math 1014 Intensive Precalculus
Math 1014 is offered occasionally as an online course that covers most (not all) of the material in Math 1012 and 1013 at an accelerated pace. Students completing Math 1014 Intensive Precalculus will be ready to proceed to Math 1101 Calculus I the following semester.
| Topic | Lecture | Resources |
|---|---|---|
| Linear Equations | Notes | Examples |
| Quadratic Equations | Notes | Examples |
| Functions | General Introduction and Functional Notation Notes |
Examples |
| Properties of the 12 Basic Functions | Notes | Examples |
| Average Rate of Change | Notes | Examples |
| Building Functions from Functions | Notes | Examples |
| Parametric Relations and Inverses | Notes | Examples |
| Graphical Transformations | Notes | Examples |
| Linear and Quadratic Functions | Notes | Examples |
| Power Functions | Notes | Examples |
| Polynomial Functions | Notes | Examples |
| Real Zeros of Polynomial Functions | Notes | Examples |
| Rational Functions | Notes | Examples |
| Solving Equations in One Variable | Notes | Examples |
| Solving Inequalities in One Variable | Notes | Examples |
| Exponential and Logistic Functions | Notes | Examples |
| Logarithmic Functions | Notes | Examples |
| Properties of Logarithmic Functions | Notes | Examples |
| Exponential and Logistic Modeling | Notes | Examples |
| Equation Solving | Notes | Examples |
| Angles and Their Measure | Notes | Examples |
| Trigonometric Functions of Acute Angles | Notes | Examples |
| Trigonometry: Circular Functions | Notes | Examples |
| Graphs of Tangent, Cotangent, Secant, and Cosecant | Notes | Examples |
| Inverse Trigonometric Functions | Notes | Examples |
| Solving Problems with Trigonometry | Notes | |
| Fundamental Trigonometric Identities | Notes | Examples |
| Proving Trigonometric Identities | Notes | Examples |
| Sum and Difference Identities | Notes | Examples |
| Multiple Angle Identities | Notes | Examples |
| The Law of Sines and The Law of Cosines | Notes | Examples |
| Solving Systems of Equations | Notes | Examples |
| Sketching Circles, Ellipses and Hyperbolas | Notes | Examples |