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