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Need a solid foundation before calculus? Precalculus concepts like functions, sequences, and limits are clarified to prepare you for success.

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Patrick Ford

0. Fundamental Concepts of Algebra

1. Equations and Inequalities

2. Graphs

3. Functions & Graphs

4. Polynomial Functions

5. Rational Functions

6. Exponential and Logarithmic Functions

7. Measuring Angles

8. Trigonometric Functions on Right Triangles

9. Unit Circle

10. Graphing Trigonometric Functions

11. Inverse Trigonometric Functions and Basic Trig Equations

12. Trigonometric Identities 

13. Non-Right Triangles

14. Vectors

15. Polar Equations

16. Parametric Equations

17. Graphing Complex Numbers

18. Systems of Equations and Matrices

19. Conic Sections

20. Sequences, Series & Induction

21. Combinatorics and Probability

22. Limits & Continuity

23. Intro to Derivatives & Area Under the Curve

Default TOC

Products and Quotients of Complex Numbers

Powers of Complex Numbers (DeMoivre's Theorem)

Two Variable Systems of Linear Equations

Introduction to Matrices

Determinants and Cramer's Rule

Graphing Systems of Inequalities

Introduction to Conic Sections

Circles

Ellipses: Standard Form

Parabolas

Hyperbolas at the Origin

Hyperbolas NOT at the Origin

Sequences

Arithmetic Sequences

Geometric Sequences

Factorials

Combinatorics

Probability

Introduction to Limits

Finding Limits Algebraically

Continuity

Tangent Lines & Derivatives

Limits at Infinity

Limits of Sequences

Area Under a Curve

Precalculus Final - Part 2 of 2

Find the difference quotient, [f(x + h) - f(x)]/h, of the function: f(x) = x5 - 2

Find the difference quotient, [f(x + h) - f(x)]/h, of the function: f(x) = x⁵ - 2