## by Philip B. Yasskin, et al.

### Texas A&M University

## Benefits of MyMathApps Calculus

The links below go to pages in the book. If you are reading the Sample Version of the book, then some of the links may not be available.

## Calculus 1

Dr. Y's Robot (by Carl Van Huyck)

Trig Plots

Trig Sum and Difference Identities

Trig Identity Summary

Triangle Inequality Proof

Tutorial on Intuitive Limits and Continuity

Most books have a chapter on Limit Laws, but in the exercises, students are asked
to do limits where the Limit Laws don't apply. They aresimply told
"Algebraically manipulate the limit until the Laws do apply." There is no guidance.

When Limit Laws Don't Apply

Indeterminate Forms

Linear Approximation

Inverse functions are mirror images. Their slopes are reciprocals.

Derivative of Exponentials, The number e

Derivative of Logs

Related rates: Lots of pretty pictures

FTC for areas. Look at the drop down for the proof

FTC for integrals. Look at the drop down for the proof.

## Calculus 2

Integration by Parts, LAPTE: The Choice of u

Integration by Parts, Recurrence of the Integral

Tutorial on Average Values

Stewart treats Volumes by Disks and Washers with Slicing and Cylinders totally
separately. MYMACalc treats Disks, Washer and Cylinders together and gives
students a strategy for deciding which is which.

Volumes by Slicing and Revolution; Look at the plots in the solutions.

Tutorial on Volumes of Revolution

Plotting Polar curves: Look at the animations in the solutions.

Induction proofs for Recursively Defined Sequences

Usefulness of the Taylor Polynomials for sin

Applications of Taylor Series ar for Limits, Derivatives, Integrals, Numerical Series, Differential Equations.

## Calculus 3

Triangle Inequality Proof

Work: Lots of Pretty Pictures

Animated Hand for Right Hand Rule (by Carl Van Huyck)

Tutorial for understanding Partial Derivatives

Tutorial for understanding Tangent Planes

Linear Approximation with 2 Variables

Properties of the Gradient: See the proofs

Max/Min Problems have animations

Intuitive understanding of the Divergence

Intuitive understanding of the Curl

Orientation of Surface and Boundary in Stokes' Theorem (click on Show Hand)

Stokes' Theorem with Holes (click on Show Hand)

## TAMU Math Circle Apps

As a service to the Math Community, we are building a collection of Apps
which are useful at online Math Circles.

Nim

Hex Bridges

Pop Tac Toe

Double Latin Squares

Cube Symmetries