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Trigonometry/Precalculus

This iSabio trigonometry course covers everything from the basics including trigonometric function definitions, the unit circle, and right triangle calculations, to more advanced and real-life applications of trigonometry like linear and angular velocity and vectors. John Stogin utilizes iSabio’s many technological resources to provide step-by-step, in-depth teaching of high school-level trigonometry. He thoroughly covers each section, explains example problems, and even employs the most powerful mathematics software in the world, Mathematica®, to help illustrate vital concepts in several lectures. This e-Learning course was designed for those who find reading from a textbook a difficult way to learn math and prefer audiovisual instruction.

Lecturers: 

Chapters 1 through 7    John Stogin, Princeton University. B.S. in Mathematics
Chapter 8 (precalculus) James Choi, Northwestern University.  Ph.D. in Theoretical Mechanics

Lecture Samples: 

Entire Chapter 4 Graphs of the Circular Functions is open for free viewing.

Course Format:

iSabio’s trigonometry course comes with approximately 5 hours of lecture time. With crystal clear explanations and a plethora of practice problems that are carefully explained and systematically solved. This iSabio course ensures that no student is left without expert assistance in his or her study of trigonometry. Using the interactive online discussion forum, students are also able to post any question regarding the lectures. Students can post diagrams, formulas, and even scanned images they have questions about. iSabio guarantees a satisfactory answer from one of our most qualified teachers within 48 hours of its posting so that no student falls behind. For a full list of topics covered, scroll down to the bottom of the page.

Textbook:

The iSabio trigonometry course pairs directly with Trigonometry (Lial/Hornsby/Schneider Series) ISBN 0321227360; this book can be purchased from any vendor. It offers additional exercises and problems students can work on to hone their skills outside of viewing the interactive modules.

The book is not included with the purchase.

 
Pricing and Purchase:

Purchase Page

Now you are able to view the course by topic by clicking each chapter's name below.  We recommend that you download the entire course from here, then view it locally on your computer. 

Chapter 8 is not downloadable at the moment.  Please view it online.

Topics Covered:

Chapter 0

Overview of Trigonometry

0.1

Trigonometry is Just Ratios

0.2

Unit Circle Trigonometry

0.3

Graphing of Trig. Functions

0.4

Using These Tools

Chapter 1

The Trigonometric Functions

1.1

Angles

1.2

Angle Relationships 

1.3

Definitions of the Trigonometric Functions

1.4

Using the Def. of the Trig. Functions

Chapter 2

Acute Angles and Right Triangles

2.1

Trigonometric Functions of Acute Angles

2.2

Trigonometric Functions of Non-Acute Angles

2.3

Finding Trig. Function Values Using a Calculator

2.4

Solving Right Triangles

2.5

Further Applications of Right Triangles

Chapter 3

Radian and the Circular Functions

3.1

Radian Measure

3.2

Applications of Radian Measure

3.3

Circular Functions of Real Numbers

3.4

Linear and Angular Velocity

Chapter 4

Graphs of the Circular Functions

4.1

Graphs of the Sine and Cosine Functions

4.2

Translation of Sine and Cosine Function Graphs

4.3

Graphs of the Other Circular Functions

Chapter 5

Trigonometric Identities

5.1

Fundamental Identities

5.2

Verifying Trigonometric Identities

5.3

Sum and Difference Identities for Cosine

5.4

Sum and Difference Identities for Sine and Tangent

5.5

Double-Angle Identities

5.6

Half-Angle Identities

Chapter 6

Inverse Trig. Functions and Trig. Eq.

6.1

Inverse Trigonometric Functions

6.2

Trigonometric Equations I

6.3

Trigonometric Equations II

6.4

Equations Involving Inverse Trigonometric Functions

Chapter 7

Trig. and Vectors Applications

7.1

Oblique Triangles and the Law of Sines

7.2

The Ambiguous Case of the Law of Sines

7.3

The Law of Cosines

7.4

Vectors and the Dot Product

7.5

Applications of Vectors

Chapter 8

Precalculus (Complex Numbers, Polar Equations, Parametric Equations)

8.1

Complex Numbers

8.2

Trig (Polar) Form of Complex Numbers

8.3

The Product and Quotient Theorems

8.4

Powers and Roots of Complex Numbers

8.5

Polar Equations and Graphs

8.6

Parametric Equations, Graphs and Applications

8.7

Trigonometric Parametric Equations

 

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