Pre-Calculus

  Pre-Calculus Resources

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days after you enroll

• Introductory Video (1:42) Start
• Syllabus Start
• Textbook Start
• Tools for Mastering Mathematics Book Start
• Euler - Elements of Algebra Start
• Other Materials Start

  1. Relations and Functions

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days after you enroll

• 1.1. Sets of Real Numbers and the Cartesian Coordinate Plane Start
• 1.2. Relations Start
• 1.3. Introduction to Functions Start
• 1.4. Function Notation Start
• 1.5. Function Arithmetic Start
• 1.6. Graphs of Functions Start
• 1.7. Transformations Start
• Review Start
• Test Start

  2. Linear and Quadratic Functions

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days after you enroll

• 2.1. Linear Functions Start
• 2.2. Absolute Value Functions Start
• 2.3. Quadratic Functions Start
• 2.4. Inequalities with Absolute Value and Quadratic Functions Start
• 2.5. Regression Start
• Review Start
• Test Start

  3. Polynomial Functions

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days after you enroll

• 3.1. Graphs of Polynomials Start
• 3.2. The Factor Theorem and the Remainder Theorem Start
• 3.3. Real Zeros of Polynomials Start
• 3.4. Complex Zeros and the Fundamental Theorem of Algebra Start
• Review Start
• Test Start

  4. Rational Functions

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days after you enroll

• 4.1. Introduction to Rational Functions Start
• 4.2. Graphs of Rational Functions Start
• 4.3. Rational Inequalities and Applications Start
• Review Start
• Test Start

  5. Further Topics in Functions

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days after you enroll

• 5.1. Function Composition Start
• 5.2. Inverse Functions Start
• 5.3. Other Algebraic Functions Start
• Review Start
• Test Start

  6. Exponential and Logarithmic Functions

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days after you enroll

• 6.1. Introduction to Exponential and Logarithmic Functions Start
• 6.2. Properties of Logarithms Start
• 6.3 Exponential Equations and Inequalities Start
• 6.4. Logarithmic Equations and Inequalities Start
• 6.5. Applications of Exponential and Logarithmic Functions Start
• Review Start
• Test Start

  7. Hooked on Conics

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days after you enroll

• 7.1. Introduction to Conics Start
• 7.2. Circles Start
• 7.3. Parabolas Start
• 7.4. Ellipses Start
• 7.5. Hyperbolas Start
• Review Start
• Test Start

  8. Systems of Equations and Matrices

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days after you enroll

• 8.1. Systems of Linear Equations: Gaussian Elimination Start
• 8.2. Systems of Linear Equations: Augmented Matrices Start
• 8.3. Matrix Arithmetic Start
• 8.4. Systems of Linear Equations: Matrix Inverses Start
• 8.5. Determinants and Cramer's Rule Start
• 8.6. Partial Fraction Decomposition Start
• 8.7. Systems of Non-Linear Equations and Inequalities Start
• Review Start
• Test Start

  9. Sequences and the Binomial Theorem

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days after you enroll

• 9.1. Sequences Start
• 9.2. Summation Notation Start
• 9.3. Mathematical Induction Start
• 9.4. The Binomial Theorem Start
• Review Start
• Test Start

  10. Foundations of Trigonometry

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days after you enroll

• 10.1. Angles and their Measure Start
• 10.2. The Unit Circle: Cosine and Sine Start
• 10.3. The Six Circular Functions and Fundamental Identities Start
• 10.4. Trigonometric Functions Start
• 10.5. Graphs of the Trigonometric Functions Start
• 10.6. The Inverse Trigonometric Functions Start
• 10.7. Trigonometric Equations and Inequalities Start
• Review Start
• Test Start

  11. Applications of Trigonometry

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days after you enroll

• 11.1. Applications of Sinusoids Start
• 11.2 The Law of Sines Start
• 11.3. The Law of Cosines Start
• 11.4. Polar Coordinates Start
• 11.5. Graphs of Polar Equations Start
• 11.6. Hooked on Conics Again Start
• 11.7. Polar Form of Complex Numbers Start
• 11.8. Vectors Start
• 11.9. The Dot Product and Projection Start
• 11.10. Parametric Equations Start
• Review Start
• Test Start