Infinite Calculus
Test and Worksheet Generator for 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.
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
Included in version 2.80.01 released 7/12/2024:
- Fixed: [Windows] - Superfluous log files created under certain conditions
Included in version 2.80 released 6/12/2024:
- Improved: Faster, more reliable backend
- Improved: Licensee name displayed
- Improved: Use HTTPS for all links
- Fixed: Separable Differential Equations - The C1 value for particular solutions could be incorrect
Included in version 2.70.06 released 1/5/2023:
- Fixed: Choices could appear incorrectly
Included in version 2.70 released 7/8/2022:
- New: Add preferences for Metric/Imperial units
- New: Add preference to “Prefer x“ as the variable letter
- Improved: UI, security, and stability with updated libraries
Included in version 2.62 released 2/8/2022:
- New: Print questions from Presentation View
- Improved: UI, security, and stability with updated framework and libraries
- Improved: [Mac] Dark mode
- Fixed: [Windows] - Detached topic list does not close when application is closed
Included in version 2.61.03 released 9/10/2021:
- Improved: Minor UI improvements
- Fixed: [Windows] Unable to change page layout to landscape
- Fixed: [Windows] Error 'Unable to load platform plugin'
Included in version 2.61 released 8/27/2021:
- Fixed: Preferences page for Kuta Works
- Improved: Security and stability with updated networking libraries
Included in version 2.60 released 8/19/2021:
- Improved: UI, security, and stability with updated framework and libraries
- Improved: Site licenses check expiration date more frequently
Included in version 2.52 released 6/14/2019:
- New: Scramble questions by directions
- New: Scramble all questions in assignment
- New: Consolidate question sets with identical options
- New: Regroup question sets by directions
- New: Kuta Works - Create a two semester course
- New: Kuta Works - Clone assignments from a previous course into a new one
- Fixed: Presentation View - Arrow keys could change zoom at start/end of assignment
- Fixed: Tight Layout - Directions could be cramped for no reason
- Fixed: Differentiation - Average Rates of Change - Possible to have duplicate choices
Included in version 2.50 released 4/12/2019:
- New: Kuta Works - Option to hide answers and results from students until after due date
- New: Kuta Works - Option to control how long choices are hidden
- Improved: Options windows appear at a better initial size
- Improved: Window controls shown at their native size and spacing
- Improved: Network proxy configuration window
- Improved: License activation process
- Fixed: Presentation View - Answers could be cut off
- Fixed: Some window controls cut off on Windows 10 with display scaling
- Fixed: Spelling errors
- Fixed: Kuta Works - Course list could display more than just your active courses
Included in version 2.42 released 12/11/2018:
- Fixed: Certain symbols incorrect if saved on Mac and loaded on Windows or vice versa
Included in version 2.41 released 9/26/2018:
- Fixed: Archived courses in Kuta Works are now hidden
- Fixed: Generating or regenerating questions could cause a crash
Included in version 2.40 released 8/8/2018:
- New: Integrated with Kuta Works. Now post assignments online.
Included in version 2.25 released 4/27/2018:
- Improved: Generate questions more quickly
- Improved: Measurement arrows reach correct endpoints
- Fixed: Trig units for piecewise functions and ordered pairs
- Fixed: Applications of Differentiation: Intervals of Increase and Decrease - Wrong intervals for certain questions
- Fixed: Applications of Integration: Area Between Curves - Possible to create one question with wrong answer
Included in version 2.18 released 7/31/2017:
- Fixed: Open circles on graphs were filled in when displayed as answer in red
- Fixed: Typo in sample custom question
Included in version 2.17 released 4/27/2017:
- Improved: [Windows] "Export to clipboard as bitmap" renders image with better quality
Included in version 2.16.20 released 11/16/2016:
- Improved: Removed unnecessary button from window
Included in version 2.16 released 9/16/2016:
- Fixed: Numbers with many significant digits could round incorrectly
- Fixed: Customized question containing an error could not be modified
- Fixed: Customized question containing an error could cause a crash
- Fixed: Feedback tool detects Windows 10 properly
- Fixed: Mouse cursor when drag-dropping a question
- Fixed: Keyboard shortcut for changing order of question sets in assignment
Included in version 2.15 released 7/14/2016:
- New Topic: Differential Equations - Exponential Growth and Decay
- Improved: Reorder question sets by dragging and dropping
- Improved: Move individual questions within a set by dragging and dropping
- Improved: Presentation View - Commands now on a movable, dockable toolbar
- Improved: Added option for large toolbar icons
- Improved: New icons
- Fixed: Certain options could result in double parenthesis or parenthesis around a negative sign
- Fixed: Arrow over vector variable name not red when appropriate
Included in version 2.11 released 5/13/2016:
- Improved: [Windows] "Export to clipboard as bitmap" pastes into Microsoft Word at appropriate DPI
- Fixed: Keyboard shortcut for adding space to question set
Included in version 2.10 released 5/11/2016:
- New: Preference for including "None of the above" as a choice
- New: One column layout
- New: Added support for Infinite Precalculus
- New: Easily add piecewise functions of graphs in custom questions: Example: piecewise([2x-3] if [x<5], [x-1] if [x >= 5])
- New: Easily add functions with restricted domains to graphs in custom questions Example: function(x/2, x<0)
- Improved: More efficient layout of choices
- Improved: [Mac] Added option for legal paper in page setup
- Fixed: Spelling and grammatical errors
- Note: Older versions will not be able to open assignments saved with this version
Included in version 2.06 released 8/3/2015:
- Fixed: Crash when saving if previously used folder no longer exists
Included in version 2.05 released 7/20/2015:
- Fixed: Presentation View - Displayed wrong directions in 3-up mode
- Fixed: Presentation View - Lines too long after creating new problems
- Fixed: [Windows] Uncommon error when using the network
Included in version 2.04.40 released 3/31/2015:
- Fixed: Activation data unrecognized under special circumstances
- Fixed: [Windows] Help files broken by previous release
Included in version 2.04.20 released 3/23/2015:
- Improved: [Windows] "Export to clipboard as bitmap" uses a transparent background
Included in version 2.04 released 3/17/2015:
- New Topic: Area Under a Curve Using Limits
- New Topic: Area Under a Curve Using Integration
- New Topic: Limits in Form of Definition of Derivative
- New Topic: Volume of Solids with Known Cross Sections
- New Option: Implicit Differentiation - Find derivative in general or at a given point
- Improved: Better support for proxies
- Improved: Support for HiDPI Mac Retina displays
- Improved: Print options window - Some settings are now persistent
- Improved: Presentation View - Use arrow keys to navigate between questions
- Improved: Question set updates free response/multiple-choice when all questions have changed
- Improved: [Mac] Activation also checks /Library/Preferences/ks-config.txt for serial numbers
- Fixed: [Windows] Crash when printing with certain printers
- Fixed: Crash when loading an assignment with over 80 custom questions
- Fixed: Custom question answer was never choice A
- Fixed: Paper size set before printing
- Fixed: Integration with u Substitution - Error involving ln
Included in version 2.03 released 9/19/2014:
- Fixed: Preference for question layout mode not correctly loaded
- Fixed: Issues with automatic spacing and highlighting questions when using tight layout
- Fixed: In Presentation View, graphing problems display choices more compactly
- Fixed: Printing blank pages on HP LaserJet 1018, 1020, and 1022 among others
Included in version 2.02 released 8/5/2014:
- New: Software uses system proxy when necessary
- Improved: Activation window has taskbar entry
- Improved: Remembers the last directory used when saving and opening files
- Fixed: [Windows only] Possible crash when loading an assignment with a lot of custom questions
- Fixed: [Mac only] Application stops responding to hover events
- Fixed: Activation from before v2.0 sometimes not recognized
- Fixed: Export to clipboard sometimes cuts off choices B and D
- Fixed: Help contents could become unusable
- Fixed: Word wrap when modifying a question
- Fixed: Memory leak
Included in version 2.01 released 7/28/2014:
- Fixed: Could crash when opening an assignment from a different program
- Fixed: Differentials: ± symbol sometimes appeared as a box
Included in version 2.00 released 7/23/2014:
- New: Print to PDF
- New: Filter for topic list
- New: Zoom while viewing on screen
- New: "More like these" button in presentation mode
- New: Show where punch holes will go on the page
- New: Print only an answer sheet
- New: When printing, page range is enabled
- New: Page elements are outlined when hovered
- New: Double-click on directions to change them
- New: When merging assignments, options to put similar topics together or put them end-to-end
- New: Highlight and go to the questions in a question set (menu command or shift-click)
- New: Site licenses can be activated per-machine if run by the administrator
- New: Select multiple questions at a time:
- Ctrl-Click on a question
- Shift-Click on a question
- Ctrl-Shift-Click on a question
- Shift-Click in a empty area of a page
- Ctrl-Shift-Click in a empty area of a page
- Shift-Click on a question set
- Ctrl-Shift-Click on a question set
- Improved: Assignment files are drastically smaller
- Improved: Sidebar is dockable on either side, can be floated, and position reset
- Improved: Auto-spacing doesn't leave dead space at bottom of each page
- Improved: Preview when editing directions
- Improved: Keyboard shortcuts work no matter where the focus is
- Improved: Scale number of questions window more user-friendly
- Fixed: Minor bugs in eight topics
- Note: Older versions will not be able to open assignments saved with this version
Included in version 1.56.02 released 2/26/2014:
- Improved: Absolute Extrema: Better intervals for problems with trig functions
- Improved: Better spacing for questions with long answers
- Fixed: Second Fundamental Theorem: Questions could have invalid lower bound on integral
Included in version 1.56 released 8/14/2013:
- New Topic: Rules of Differentiation, using Tables
- New Topic: Differentials
- New Topic: Newton's Method
- New Topic: Slope Fields
- New Topic: Introduction to Differential Equations
- New Topic: Separable Differential Equations
- Improved: Curve Sketching - Increased font size
Included in version 1.03 released 2/28/2013:
- New Topic: Integration by Parts
- New Option: Derivatives of Inverse Functions - Include functions whose inverse can't be found
- New Option: Derivatives of Inverse Functions - Find derivative of inverse at a given value
- Fixed: Limits at Essential Discontinuities - Answer provided could be 1/0 instead of "Does not exist"
- Fixed: Absolute Extrema - Answer provided could be outside of interval
- Fixed: Integration - Power Rule with Substitution - Occasionally problems were not solvable
- Fixed: Related Rates - Ladder word problems could provide the wrong answer
Included in version 1.02 released 12/17/2012:
- Fixed: Certain options for Intervals of Concavity not saved correctly
- Fixed: Certain options for Rolle's Theorem not saved correctly
Included in version 1.01 released 12/12/2012:
- New Topic: Instantaneous vs. average rate of change
- New Topic: Optimization word problems
- New Topic: Related rates word problems
- New Topic: Motion along a line
- Improved: More topics have option to provide a blank graph
- Improved: Faster save/load
- Fixed: Custom questions with an illegal expression could freeze the program
Try Infinite Calculus Today!
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.
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.