Test and Worksheet Generators for Math Teachers

Infinite Calculus

 
Infinite Calculus covers all of the fundamentals of Calculus: limits, continuity, differentiation, and integration as well as applications such as related rates and finding volume using the cylindrical shell method. Designed for all levels of learners, from beginning to advanced.
 

View as text in:   Index Order     Suggested Order

Comparison of topics in each program

Limits

  • By direct evaluation
  • At jump discontinuities and kinks
  • At removable discontinuities
  • At essential discontinuities
  • At infinity

Continuity

  • Determining and classifying

Differentiation

  • Average rates of change
  • Definition of the derivative
  • Instantaneous rates of change
  • Power Rule
  • Higher order derivatives
  • Product Rule
  • Quotient Rule
  • Chain Rule
  • Rules, using tables
  • Trigonometric
  • Inverse trigonometric
  • Natural logarithms and exponentials
  • Other base logarithms and exponentials
  • Logarithmic
  • Implicit
  • Inverse functions

Applications of Differentiation

  • Slope, tangent, and normal lines
  • Rolle's Theorem
  • Mean Value Theorem
  • Intervals of increase and decrease
  • Intervals of concavity
  • Relative extrema
  • Absolute extrema
  • Optimization
  • Curve sketching
  • Graphical comparison of f, f', and f''
  • Motion along a line
  • Related rates
  • Differentials
  • Newton's Method
  • Limits in form of definition of derivative
  • L'Hopital's Rule

Indefinite Integration

  • Power Rule
  • Logarithmic Rule and Exponentials
  • Trigonometric
  • Inverse trigonometric
  • Power rule with substitution
  • Logarithmic rule and exponentials with subs.
  • Trigonometric with substitution
  • Inverse trigonometric with substitution
  • Integration by parts

Definite Integration

  • Approximating area under a curve
  • Area under a curve by limit of sums
  • Riemann sum tables
  • First Fundamental Theorem of Calculus
  • Substitution with change of variables
  • Mean Value Theorem
  • Second Fundamental Theorem of Calculus

Applications of Integration

  • Area under a curve
  • Area between curves
  • Volume by slicing, disks and washers
  • Volume by cylinders
  • Volume of solids with known cross sections
  • Motion along a line revisited

Differential Equations

  • Slope fields
  • Introduction
  • Separable
  • Exponential growth and decay


Discover the power and flexibility of our software firsthand with a free, 14-day trial. Installation is fast and simple. Within minutes, you can have the software installed and create the precise worksheets you need -- even for today's lesson.
Infinite Calculus
Use each trial for up to 14 days. The trial version is identical to the retail version except that you cannot print to electronic formats such as PDF.
About Us| Frequently asked questions|Privacy policy

© Copyright Kuta Software LLC. All rights reserved.