Topics in Integral and Differential Calculus

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Sharewares used in these Pages:

Several TCL Scripts written by Prof. W.F.Schelter
mhtml -- by W.F. Schelter. This application produces Mathematics text in GIF format.
lundin.SymbolicMath class library by Patrik Lundin.
Interpreter for symbolic manipulation of mathematical expressions by Jens- Uwe Dolinsky.
GIFs on the FLY
Several Java applications written by the author.

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*Topics in Integral and Differential Calculus:*
Functions:	Introduction to Functions Polynomial Functions Rational Functions Trigonometric Functions Exponential & Logarithmic Functions Exercises Combinations of Functions
Limits and Continuity:	Limit of a Function Some Theorems on Limits Continuity Limits of Trigonometric Functions
Differentiation:	The Derivative Some Differentiation Formulas & the Chain Rule Differentiating Trigonometric Functions Differentials; Newton-Raphson Approximations The Mean-Value Theorem
Applications of derivatives:	Some Max-Min Problems
Integration:	Introduction The Definite Integral of a Continuous Function Some Area Problems Indefinite Integrals The Integral as the Limit of Riemann Sums
Topics in Differential Calculus:	The (natural) Logarithm Function; The number e The Derivative of b^x L'Hôpital's Rule
Sequences:	Sequences of Real Numbers Limit of a Sequence
Infinite Series:	Sequences Infinite Series Taylor Polynomials and Taylor Series
Vectors:	Plane Vectors I
Apendix:	The Spring (animation)