Computing for Calculus
- 1st Edition - January 1, 1981
- Latest edition
- Author: Mark J. Christensen
- Language: English
Computing for Calculus focuses on BASIC as the computer language used for solving calculus problems. This book discusses the input statement for numeric variables, advanced… Read more
Computing for Calculus focuses on BASIC as the computer language used for solving calculus problems. This book discusses the input statement for numeric variables, advanced intrinsic functions, numerical estimation of limits, and linear approximations and tangents. The elementary estimation of areas, numerical and string arrays, line drawing algorithms, and bisection and secant method are also elaborated. This text likewise covers the implicit functions and differentiation, upper and lower rectangular estimates, Simpson's rule and parabolic approximation, and interpolating polynomials. Other topics include the Taylor polynomials, estimating the limit of a sequence, infinite series, and level curves and central projection of surfaces. This publication is beneficial to math students and specialists who use computer languages for educational purposes.
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
Exercises
Chapter 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
Exercises
Chapter 3 The Definite Integral
3.1 Elementary Estimation of Areas
Exercises
Chapter 4 Graphics
4.1 Elementary Graphics
Exercises
4.2 Numerical and String Arrays
Exercises
4.3 Line Drawing Algorithms
Exercises
4.4 Polar Graphing
Exercises
Chapter 5 Solving Equations
5.1 The Bisection Method
Exercises
5.2 The Secant Method
Exercises
5.3 Newton's Methods
Exercises
Chapter 6 Implicit Functions And Differentiation
6.1 Implicit Functions
Exercises
6.2 Implicit Differentiation
Exercises
Chapter 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
Exercises
Chapter 8 Approximation Of Functions
8.1 Interpolating Polynomials
Exercises
8.2 Taylor Polynomials
Exercises
Chapter 9 Estimation Of Sequences And Series
9.1 Estimating the Limit of a Sequence
Exercises
9.2 Infinite Series
Exercises
Chapter 10 Three-Dimensional Graphics
10.1 Level Curves of a Surface
Exercises
10.2 The Central Projection of Surfaces
Exercises
- Edition: 1
- Latest edition
- Published: January 1, 1981
- Language: English
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