Edwards & Penney Entry Directory

by Corry Shores
[Search Blog Here. Index-tags are found on the bottom of the left column.]

[Central Entry Directory]
[Mathematics, Calculus, Geometry, Entry Directory]
[Calculus Entry Directory]

1 Calculus and Functions

2 Domains and Intervals

3 Graphs of Equations and Functions

4 Polynomials and Algebraic Functions

5 Polynomials and Algebraic Functions, Continued

6 Algebraic Functions

7 Trigonometric Functions

8 Composition of Functions

9 Exponential Functions

10 Logarithmic Functions

11 Transcendental Equations

12 Preview: What Is Calculus?

13 Tangent Lines and Slope Predictors



The Cycles of Our Life-Sines. Trigonometric Functions in Edwards & Penney's Calculus (Section 1.4)

Increments, Differentials, and Linear Approximations

Higher Derivatives and their Signs

Exponential, Logarithmic, and Inverse Functions in Edwards & Penney

The Babylonian Method for Approximating the Square Root of 2

Summation Notation and Simple Rules of Summation

Introducing the Integral Calculus

The Antiderivative

Area under Graphs

Area Sums and Areas as Limits

Riemann Sums and the Integral in Edwards & Penney

Introducing the Infinite Series: Zeno's Paradox

Infinite Sequences defined

Examples of Infinite Sequences including the Fibonacci Sequence

Limits of Sequences, their Convergence and Divergence defined

Infinite Series, their Sums, their Convergence and Divergence, and their nth term

Geometric Series and their Sums

The nth-Term Test for Divergence

The Taylor Series and Taylor Polynomials