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Justin Math: Algebra
Justin Algebra is the first book in a series that covers the foundations of high school and college Algebra, Calculus, and Linear Algebra (with Differential Equations baked into the latter two). It provides deep intuition for the core concepts and connections, along with plenty of practice exercises, while remaining as concise as possible.
CONTENTS
1. LINEAR EQUATIONS AND SYSTEMS - Solving Linear Equations, Slope-Intercept Form, Point-Slope Form, Standard Form, Linear Systems.
2. QUADRATIC EQUATIONS - Standard Form, Factoring, Quadratic Formula, Completing the Square, Vertex Form, Quadratic Systems.
3. INEQUALITIES - Linear Inequalities in the Number Line, Linear Inequalities in the Plane, Quadratic Inequalities, Systems of Inequalities.
4. POLYNOMIALS - Standard Form and End Behavior, Zeros, Rational Roots and Synthetic Division, Sketching Graphs.
5. RATIONAL FUNCTIONS - Polynomial Long Division, Horizontal Asymptotes, Vertical Asymptotes, Graphing with Horizontal and Vertical Asymptotes, Graphing with Slant and Polynomial Asymptotes.
6. NON-POLYNOMIAL FUNCTIONS - Radical Functions, Exponential and Logarithmic Functions, Absolute Value, Trigonometric Functions, Piecewise Functions.
7. TRANSFORMATIONS OF FUNCTIONS - Shifts, Rescalings, Reflections, Inverse Functions, Compositions.
CONTENTS
1. LINEAR EQUATIONS AND SYSTEMS - Solving Linear Equations, Slope-Intercept Form, Point-Slope Form, Standard Form, Linear Systems.
2. QUADRATIC EQUATIONS - Standard Form, Factoring, Quadratic Formula, Completing the Square, Vertex Form, Quadratic Systems.
3. INEQUALITIES - Linear Inequalities in the Number Line, Linear Inequalities in the Plane, Quadratic Inequalities, Systems of Inequalities.
4. POLYNOMIALS - Standard Form and End Behavior, Zeros, Rational Roots and Synthetic Division, Sketching Graphs.
5. RATIONAL FUNCTIONS - Polynomial Long Division, Horizontal Asymptotes, Vertical Asymptotes, Graphing with Horizontal and Vertical Asymptotes, Graphing with Slant and Polynomial Asymptotes.
6. NON-POLYNOMIAL FUNCTIONS - Radical Functions, Exponential and Logarithmic Functions, Absolute Value, Trigonometric Functions, Piecewise Functions.
7. TRANSFORMATIONS OF FUNCTIONS - Shifts, Rescalings, Reflections, Inverse Functions, Compositions.
313 pages, Paperback
Published November 26, 2018
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