Learning Materials
Math 127

Prerequisite Concepts

Radicals

Angles and Triangles

Pythagorean Theorem

Lecture #1

Introduction to Angles

Examples

Lecture #2

The Six Trigonometric Ratios

Examples

Lecture #3

        Trigonometric Ratios of Acute Angles

Examples

       Point of Interest 1

Lecture #4

Trigonometric Ratios of Angles of Any Magnitude - Part 1

Examples

Point of Interest 2

Point of Interest 3

Lecture #5

Trigonometric Ratios of Angles of Any Magnitude - Part 2

Examples

Exam 1

Lecture #6

A Review of Factoring

Simplifying Trigonometric Expressions - Part 1

Examples

Lecture #7

Simplifying Trigonometric Expressions - Part 2

Lecture #8

Sum & Difference Identities and Double & Half Angle Identities

Examples

Point of Interest 6

Lecture #9

A Word about Desmos

Sine and Cosine Functions

Examples

Lecture #10

Tangent, Cotangent, Cosecant, and Secant Functions

Examples

Lecture #11

Inverse Trigonometric Functions

Examples

Exam 2

Lecture #12

Solving Simple Trigonometric Equations

Examples

Lecture #13

A Review of Factoring

Solving Complex Trigonometric Equations

Examples

Lecture #14

Right Triangle Trigonometry

Examples

Lecture #15

The Laws of Sines and Cosines

Examples

Point of Interest 4

Point of Interest 5

Lecture #16

Introduction to Polar Coordinates

Examples

Lecture #17

Polar Equations

Examples

Graphs of Some Interesting Polar Equations

Examples

Exam 3

Lecture #18

Introduction to Vectors - Part 1

Examples

Lecture #19

Introduction to Vectors - Part 2

Examples

Lecture #20

A Review of Square Completion

Introduction to Conic Sections - The Parabola

Examples

Lecture #21

Introduction to Conic Sections - The Hyperbola

Examples

Lecture #22

Introduction to Conic Sections - The Ellipse

Examples

Lecture #23

Introduction to Parametric Equations

Examples

Exam 4