PreAP PreCalculus On-Line Tutorials

These on-line tutorials are organized according to the sequence of our course syllabus and textbook, and they are organized and available at WWW.SOPHIA.ORG. You can access these tutorials by topic clicking on the links below:

1. Functions and Graphs

1.0 Projects, Activities, and Assignments

1.1 Modeling and Equation Solving

1.2 Functions and their properties

1.3 Twelve Basic Functions

1.4 Building Functions from Functions

1.5 Parametric Relations and Inverses

1.6 Graphical Transformations

2. Polynomial, Power, and Rational Functions.

2.0 Projects, Activities, and Assignments

2.1 Linear and Quadratics Functions and Modelling

2.2 Power Functions with Modeling

2.3 Polynomial Functions of Higher Degree with Modeling

2.4 Real Zeros of Polynomial Functions

2.5 Complex Zeros and the Fundamental Theorem of Algebra

2.6 Graphs of Rational Functions

2.7 Solving Equations in One Variable

2.8 Solving Inequalities in One Variable

3. Exponential, Logistic, and Logarithmic Functions

3.0 Projects, Activities, and Assignments

3.1 Exponential and Logarithmic Functions

3.2 Exponential and Logistic Model

3.3 Logarithmic Functions and Their Graphs

3.4 Properties of Logarithmic Functions

3.5 Equation Solving and Modeling

3.6 Mathematics of Finance

4. Trigonometric Functions

4.0 Projects, Activities, and Assignments

4.1 Angles and Their Measurements

4.2 Trigonometric Functions of Acute Angles

4.3 Trigonometry Extended: Circular Functions

4.4 Graphs of Sine and Cosine: Sinusoids

4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant

4.6 Graphs of Composite Trigonometric Functions

4.7 Inverse Trigonometric Functions

4.8 Solving Problems with Trigonometry

5. Analytic Trigonometry

5.0 Projects, Activities, and Assignments

5.1 Fundamental Identities

5.2 Proving Trigonometric Functions

5.3 Sum and Difference Identities

5.4 Multiple Angle Identities

5.5 The Law of Sines

5.6 The Law of Cosines