Mercado, Jesus P.
Next century mathematics: basic calculus / Jesus P. Mercado, Author ; Fernando B. Orines, Author-Coordinator - vii, 76 pages
Unit 1 Limits and Continuity ? 1.1 Limits from Tables and Graphs ? 1.2 Limit Laws ? 1.3 Limits of Exponential, Logarithmic, and Trigonometric Functions ? 1.4 Continuity ? 1.5 Types of Discontinuity ? Unit 2 Derivatives ? 2.1 The Derivatives of a Function and the Slope of the Tangent Line ? 2.2 Differentiability and Continuity ? 2.3 The Differentiation Rules of for Algebraic Functions ? 2.4 Tangent Line and Normal Line -- 2.5 The Chain Rule ? 2.6 The Differentiation Rules for Trigonometric and Exponential Functions ? 2.7 Maximum and Minimum Values of a Function ? 2.8 Optimization Problems ? 2.9 Implicit Differentiation ? 2.10 Higher Order Derivatives ? 2.11 Differentiation of Logarithmic and Inverse Trigonometric Functions ? 2.12 Problems Involving Related Rates ? Unit 3 Integration ? 3.1 Antiderivatives ? 3.2 Integration by Substitution ? 3.3 Integration Using Substitution and Table of Integrals ? 3.4 Separable Differential Equations ? 3.5 Exponential Growth, Bounded Growth, and Logistic Growth ? 3.6 Definite Integrals ? 3.7 Area Under the Curve and Area Between Curves
978-971-06-3930-4
Mathematics.
Derivatives (Mathematics).
Calculus.
515
Next century mathematics: basic calculus / Jesus P. Mercado, Author ; Fernando B. Orines, Author-Coordinator - vii, 76 pages
Unit 1 Limits and Continuity ? 1.1 Limits from Tables and Graphs ? 1.2 Limit Laws ? 1.3 Limits of Exponential, Logarithmic, and Trigonometric Functions ? 1.4 Continuity ? 1.5 Types of Discontinuity ? Unit 2 Derivatives ? 2.1 The Derivatives of a Function and the Slope of the Tangent Line ? 2.2 Differentiability and Continuity ? 2.3 The Differentiation Rules of for Algebraic Functions ? 2.4 Tangent Line and Normal Line -- 2.5 The Chain Rule ? 2.6 The Differentiation Rules for Trigonometric and Exponential Functions ? 2.7 Maximum and Minimum Values of a Function ? 2.8 Optimization Problems ? 2.9 Implicit Differentiation ? 2.10 Higher Order Derivatives ? 2.11 Differentiation of Logarithmic and Inverse Trigonometric Functions ? 2.12 Problems Involving Related Rates ? Unit 3 Integration ? 3.1 Antiderivatives ? 3.2 Integration by Substitution ? 3.3 Integration Using Substitution and Table of Integrals ? 3.4 Separable Differential Equations ? 3.5 Exponential Growth, Bounded Growth, and Logistic Growth ? 3.6 Definite Integrals ? 3.7 Area Under the Curve and Area Between Curves
978-971-06-3930-4
Mathematics.
Derivatives (Mathematics).
Calculus.
515