Precalculus

Dr. E's complete precalculus video library — functions, exponentials, trigonometry, conics, matrices, and sequences. Every lesson paired with a free worksheet in English and Filipino 🇵🇭

11units

65lessons

EN · FILbilingual 🇵🇭

🆓always free

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Bilingual video lessons
English & Filipino

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Worksheet

Aligned practice problems
for every lesson

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Free PDF — print it or
solve it digitally

Watching in: English — toggle to switch video links

11 Units · 65 Lessons

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Unit 1

Functions

All 4 lessons available

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Function Operations & Composition

Unit 1 · Lesson 1

Finding the Inverse of a Function

Unit 1 · Lesson 2

Finding the Inverse Algebraically

Unit 1 · Lesson 3

Solving Piecewise Defined Functions

Unit 1 · Lesson 4

Unit 2

Polynomial & Rational Functions

All 10 lessons available

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Solving Quadratic Equations

Unit 2 · Lesson 1

Remainder Theorem & Factor Theorem

Unit 2 · Lesson 2

Rational Exponents & Radical Expressions

Unit 2 · Lesson 3

Simplifying Radical Expressions

Unit 2 · Lesson 4

Solving Radical Equations

Unit 2 · Lesson 5

Simplifying Rational Expressions

Unit 2 · Lesson 6

Adding & Subtracting Rational Expressions

Unit 2 · Lesson 7

Multiplying & Dividing Rational Expressions

Unit 2 · Lesson 8

Domain of Rational Functions

Unit 2 · Lesson 9

Asymptotes of Rational Functions

Unit 2 · Lesson 10

Unit 3

Exponential & Logarithmic Functions

All 6 lessons available

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Graphing Exponential Functions

Unit 3 · Lesson 1

Introduction to Logarithmic Functions

Unit 3 · Lesson 2

Properties of Logarithms

Unit 3 · Lesson 3

Graphing Logarithmic Functions

Unit 3 · Lesson 4

Solving Exponential Equations — Change of Base

Unit 3 · Lesson 5

Solving Logarithmic Equations

Unit 3 · Lesson 6

Unit 4

Trigonometry Basics

6 lessons

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Angles & Radian Measure

Unit 4 · Lesson 1

The Six Trig Ratios (SOH CAH TOA)

Unit 4 · Lesson 2

The Unit Circle & Special Right Triangles

Unit 4 · Lesson 3

Right Triangle Trig — Rationalizing Fractions

Unit 4 · Lesson 4

Solving Right Triangles (SOH CAH TOA)

Unit 4 · Lesson 5

Trigonometry Word Problems

Unit 4 · Lesson 6

Unit 5

Graphing Trig Functions

2 lessons

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Graphing Sine & Cosine Functions

Unit 5 · Lesson 1

Graphing Cosecant & Secant Functions

Unit 5 · Lesson 2

Unit 6

Trig Identities & Laws

All 7 lessons available

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Simplifying Trig Expressions

Unit 6 · Lesson 1

Proving Trigonometric Identities

Unit 6 · Lesson 2

Sum & Difference Formulas

Unit 6 · Lesson 3

Solving Trig Equations

Unit 6 · Lesson 4

Solving Trig Equations — Pythagorean Identities

Unit 6 · Lesson 5

Unit 6 · Lesson 6

Unit 6 · Lesson 7

Unit 7

Complex Numbers & Vectors

All 6 lessons available

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Operations with Complex Numbers

Unit 7 · Lesson 1

Absolute Value & Trig Form of Complex Numbers

Unit 7 · Lesson 2

Multiplying & Dividing Complex Numbers in Trig Form

Unit 7 · Lesson 3

De Moivre's Theorem

Unit 7 · Lesson 4

Vectors — Components, Magnitude & Unit Vectors

Unit 7 · Lesson 5

Vectors — Dot Product

Unit 7 · Lesson 6

Unit 8

Conic Sections

All 9 lessons available

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Introduction to Conic Sections & Parabolas

Unit 8 · Lesson 1

Parabolas — Standard Form & Key Features

Unit 8 · Lesson 2

Writing the Equation of a Parabola

Unit 8 · Lesson 3

Conic Sections — Circles

Unit 8 · Lesson 4

Ellipses — Standard Form & Key Parts

Unit 8 · Lesson 5

Ellipses — Standard Form & Graphing

Unit 8 · Lesson 6

Ellipses — Equations, Graphs & Foci

Unit 8 · Lesson 7

Hyperbolas — Graphing & Analyzing

Unit 8 · Lesson 8

Converting Conics to Standard Form

Unit 8 · Lesson 9

Unit 9

Systems & Matrices

8 lessons

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Systems of Equations — Solving by Graphing

Unit 9 · Lesson 1

Coming Soon

Systems of Linear Inequalities

Unit 9 · Lesson 2

Matrices — Elementary Row Operations

Unit 9 · Lesson 3

Matrix Multiplication

Unit 9 · Lesson 4

Determinants of 2×2 & 3×3 Matrices

Unit 9 · Lesson 5

Determinants — Advanced

Unit 9 · Lesson 6

Finding the Inverse of a 2×2 Matrix

Unit 9 · Lesson 7

Unit 9 · Lesson 8

Unit 10

Sequences, Series & Counting

All 7 lessons available

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Sequences & Factorial Notation

Unit 10 · Lesson 1

Arithmetic Sequences

Unit 10 · Lesson 2

Geometric Sequences

Unit 10 · Lesson 3

Summation & Sigma Notation

Unit 10 · Lesson 4

Mathematical Induction

Unit 10 · Lesson 5

Binomial Theorem & Pascal's Triangle

Unit 10 · Lesson 6

Unit 10 · Lesson 7

Unit 11

Preview of Calculus

1 lesson available

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Introduction to Derivatives — Power Rule

Unit 11 · Lesson 1

Full Course

Intermediate Algebra

Structured lessons with quizzes — a step before Precalculus.

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