Justin Math: Algebra is the first book in a series that covers the foundations of high school and college math: 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.

Justin Math: Calculus is the second book in a series that covers the foundations of high school and college math: 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. LIMITS AND DERIVATIVES - Evaluating Limits; Limits by Logarithms, Squeeze Theorem, and Euler's Consant; Derivatives and the Difference Quotient, Power Rule, Chain Rule, Properties of Derivatives, Derivatives of Non-Polynomial Functions, Finding Local Extrema, Differentials and Approximation, L'Hôpital's Rule. 2. INTEGRALS - Antiderivatives, Finding Area, Substitution, Integration by Parts, Improper Integrals. 3. DIFFERENTIAL EQUATIONS - Separation of Variables, Slope Fields and Euler Approximation, Substitution, Characteristic Polynomial, Undetermined Coefficients, Integrating Factors, Variation of Parameters. 4. SERIES - Geometric Series, Tests for Convergence, Taylor Series, Manipulating Taylor Series, Solving Differential Equations with Taylor Series.