Precalculus
The bridge to calculus: functions and their transformations, polynomial and rational functions, exponentials and logarithms, trigonometry and its identities, polar and parametric curves, complex numbers and vectors, matrices, conic sections, sequences and series, and a first look at limits, all from first principles.
0 of 54 lessons available so far.
1. Functions
- Functions and Function Notation coming soon
- Domain and Range coming soon
- Graphs and Transformations coming soon
- Combining and Composing Functions coming soon
- Inverse Functions coming soon
2. Polynomial and Rational Functions
- Power and Polynomial Functions coming soon
- Graphs of Polynomial Functions coming soon
- Dividing Polynomials and the Remainder Theorem coming soon
- Zeros of Polynomial Functions coming soon
- Rational Functions and Asymptotes coming soon
3. Exponential and Logarithmic Functions
- Exponential Functions coming soon
- Logarithmic Functions coming soon
- Properties of Logarithms coming soon
- Exponential and Logarithmic Equations coming soon
- Modeling with Exponential and Logarithmic Functions coming soon
4. Trigonometric Functions
- Angles and Radian Measure coming soon
- The Unit Circle coming soon
- Right-Triangle Trigonometry coming soon
- Graphs of Sine and Cosine coming soon
- Graphs of Other Trigonometric Functions coming soon
- Inverse Trigonometric Functions coming soon
5. Analytic Trigonometry
- Fundamental Trigonometric Identities coming soon
- Sum and Difference Formulas coming soon
- Double- and Half-Angle Formulas coming soon
- Product-to-Sum and Sum-to-Product Formulas coming soon
- Solving Trigonometric Equations coming soon
6. Applications of Trigonometry
- The Law of Sines coming soon
- The Law of Cosines coming soon
- Polar Coordinates coming soon
- Graphs of Polar Equations coming soon
- Parametric Equations coming soon
7. Complex Numbers and Vectors
- Complex Numbers and the Complex Plane coming soon
- Polar Form of Complex Numbers coming soon
- De Moivre's Theorem and Roots of Unity coming soon
- Vectors in the Plane coming soon
- The Dot Product coming soon
8. Systems and Matrices
- Systems of Equations and Inequalities coming soon
- Systems in Three Variables coming soon
- Matrices and Operations coming soon
- Determinants and Inverse Matrices coming soon
- Solving Systems with Matrices coming soon
9. Conic Sections
- Parabolas coming soon
- Ellipses coming soon
- Hyperbolas coming soon
- Conic Sections in Polar Coordinates coming soon
10. Sequences, Series, and Counting
- Sequences and Notation coming soon
- Arithmetic and Geometric Sequences coming soon
- Series and Summation Notation coming soon
- The Binomial Theorem coming soon
- Counting and Probability coming soon
11. Introduction to Calculus
- Introduction to Limits coming soon
- Continuity coming soon
- Rates of Change and Tangent Lines coming soon
- The Area Problem coming soon