Computing for Calculus

¿Chapter 1 Basic BASIC 1.1 The Language BASIC 1.2 The Structure of a Computer Program 1.3 Numeric Variables 1.4 Printing Numeric Variables Exercises 1.5 The INPUT Statement for Numeric Variables Exercises 1.6 Printing String Constants Exercises 1.7 String Variables Exercises 1.8 The FOR-NEXT Statement: Looping Exercises 1.9 The Intrinsic Functions Exercises 1.10 Advanced Intrinsic Functions Exercises 1.11 User Defined Functions Exercises 1.12 The IF and GOTO Statements Exercises 1.13 The GOSUB Statement ExercisesChapter 2 Estimation Of Derivatives 2.1 Printing Tables of Functions Exercises 2.2 Numerical Estimation of the First Derivative Exercises 2.3 Numerical Estimation of Limits Exercises 2.4 Linear Approximations and Tangents ExercisesChapter 3 The Definite Integral 3.1 Elementary Estimation of Areas ExercisesChapter 4 Graphics 4.1 Elementary Graphics Exercises 4.2 Numerical and String Arrays Exercises 4.3 Line Drawing Algorithms Exercises 4.4 Polar Graphing ExercisesChapter 5 Solving Equations 5.1 The Bisection Method Exercises 5.2 The Secant Method Exercises 5.3 Newton's Methods ExercisesChapter 6 Implicit Functions And Differentiation 6.1 Implicit Functions Exercises 6.2 Implicit Differentiation ExercisesChapter 7 Estimation Of Areas Revisited 7.1 Upper and Lower Rectangular Estimates Exercises 7.2 The Trapezoidal Rule Exercises 7.3 Simpson's Rule and Parabolic Approximation ExercisesChapter 8 Approximation Of Functions 8.1 Interpolating Polynomials Exercises 8.2 Taylor Polynomials ExercisesChapter 9 Estimation Of Sequences And Series 9.1 Estimating the Limit of a Sequence Exercises 9.2 Infinite Series ExercisesChapter 10 Three-Dimensional Graphics 10.1 Level Curves of a Surface Exercises 10.2 The Central Projection of Surfaces Exercises