Infinite Precalculus
Infinite Precalculus covers all typical Precalculus material and more: trigonometric functions, equations, and identities; parametric equations; polar coordinates; vectors; limits; and more. Over 100 individual topics extend skills from Algebra 2 and introduce Calculus.
Topics Updates Trial
Continuity
Extrema, intervals of increase and decrease
Power functions
Average rates of change
Transformations of graphs
Piecewise functions
Operations
Power, Polynomial, and Rational Functions
Graphs, real zeros, and end behavior of polynomial functions
Dividing polynomial functions
The Remainder Theorem and bounds of real zeros
Writing polynomial functions and conjugate roots
Complex zeros and The Fundamental Theorem of Algebra
Graphs of rational functions
Rational equations
Polynomial inequalities
Rational inequalities
Exponential and Logarithmic Expressions
Graphing exponential functions
Exponential equations not requiring logarithms
Exponents and logarithms
Evaluating logarithms
Logarithms and exponents as inverses
Properties of logarithms
Writing logs in terms of others
Exponential equations requiring logarithms
Logarithmic equations, simple
Logarithmic equations, hard
Graphing logarithmic functions
Compound interest
Trigonometry
Angles and angle measure
Radians and degrees
Right triangle trig: Finding ratios
Right triangle trig: Finding angles and sides
Trig functions of any angle
Graphing trig functions
Simple trig equations
Inverse trig functions
Fundamental identities
Equations with factoring and fundamental identities
Sum and Difference Identities
Multiple-Angle Identities
Product-to-Sum Identities
Equations and Multiple-Angle Identities
The Law of Sines
The Law of Cosines
Area and Laws of Sines and Cosines
Parametric Equations
Parametric equations
Projectile motion
Polar Coordinates
Polar coordinates
Graphs of polar equations
Polar and rectangular forms of equations
Polar forms of conic section
Complex numbers in polar form
Operations
Dot products
Three-Dimensional Vectors
Points in three dimensions
Operations
Cross products
Matrices and Systems
Operations
Determinants
Cramer's Rule
Multivariable linear systems and row operations
Partial fraction decomposition
Conic Sections
Parabolas, graphing & properties
Parabolas, writing equations
Circles, graphing & properties
Circles, writing equations
Ellipses, graphing & properties
Ellipses, writing equations
Hyperbolas, graphing & properties
Hyperbolas, writing equations
Rotations of conic sections
Discrete Mathematics
Sample spaces and The Fundamental Counting Principle
Permutations
Combinations
Permutations vs combinations
The Binomial Theorem
Mathematical induction
Probability
Probability of independent and dependent events, word problems
Probability of independent and dependent events
Probability of mutually exclusive events, word problems
Probability of mutually exclusive events
Probability with permutations and combinations
Sequences and Series
General sequences
Arithmetic sequences
Geometric sequences
Arithmetic and geometric mean
General series
Arithmetic series
Geometric series
Power series
Introduction to Calculus
Limits by direct evaluation
Limits at kinks and jumps
Limits at removable discontinuities
Limits at essential discontinuities
Limits at infinity
Definition of the derivative
Instantaneous rates of change
Power rule for differentiation
Motion along a line
Approximating area under a curve
Area under a curve by limit of sums
Indefinite integrals
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: Polar Equations - Angles in degrees not displaying corectly
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
- Fixed: Properties of Logarithms – Choices could be equivalent
- Fixed: Solving Exponential Equations With Logarithms – Choices could be equivalent
- Fixed: Geometric Series – Choices could be equivalent
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
- Fixed: Probability Mutually Exclusive Word Problems - mutually exclusive case given when inappropriate
- Fixed: Law of Sines - Program could freeze
- Fixed: Law of Sines - Label in wrong place after reflection
- Fixed: Composite Trig/Inverse Trig - Some domains do not exclude zero
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
- Fixed: Combinatoric Word Problems - Values could overflow
- Fixed: Properties of Logs - Possible to have duplicate choices
- Fixed: Graphs of Rational Functions - Vertical asymptotes
- Fixed: Rotations of Conic Sections - Angles in degrees not displaying corectly
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
- Improved: Product-to-Sum Identities - Added degrees symbol
- Improved: Sum and Difference Identities - Added degrees symbol
- Fixed: Presentation View - Arrow keys could change zoom at start/end of assignment
- Fixed: Tight Layout - Directions could be cramped for no reason
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
- Fixed: Graphing Rational Functions - Open holes in graph could appear as filled holes
Included in version 2.42 released 12/11/2018:
- Fixed: Certain symbols incorrect if saved on Mac and loaded on Windows or vice versa
- Fixed: General Sequences - Recursive formula sometimes wrong
- Fixed: Properties of Logarithms - Avoid questions with reducible roots
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
- Improved: Custom questions - Added vectors to menu
- Improved: Average Rates of Change - Use integer intervals
- Fixed: Trig units for piecewise functions and ordered pairs
- Fixed: Graphing Rational Functions - Prevent equivalent choices
Included in version 2.18 released 7/31/2017:
- Improved: Extrema, Intervals of Increase and Decrease - Directions more precise by asking for points of extrema and open intervals
- Fixed: Open circles on graphs were filled in when displayed as answer in red
- Fixed: Typo in sample custom question
- Fixed: Dot Products - Opposite vectors not considered parallel
- Fixed: Multivariable Linear Systems and Row Operations - Missing from index order
Included in version 2.17 released 4/27/2017:
- Improved: [Windows] "Export to clipboard as bitmap" renders image with better quality
- Improved: Polar curves graphed more efficiently
- Fixed: Probability with Combinations and Permutations - Could ask about impossible lottery ball
- Fixed: Product-to-Sum and Sum-to-Product Identities - Finding exact value never gave sum/diff
- Fixed: Equations of Parabolas - Sign of coefficient wrong in a certain cases
- Fixed: Polar and Rectangular Forms of Equations - Equation of line in rectangular coordinates wrong in certain cases
Included in version 2.16.20 released 11/16/2016:
- Fixed: Graphing Trig Functions - Vertical asymptotes of cotangent were incorrect
- Fixed: [Mac] Trig Ratios of Any Angle - Certain options caused program to freeze
Included in version 2.16 released 9/16/2016:
- Fixed: Two topics missing from index order
- Fixed: Induction - Punctuation in directions and spacing in answers
- 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:
- 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
- Fixed: Compound Interest - Answers could be wrong
- Fixed: Spacing in vector topics
Included in version 2.11 released 5/13/2016:
- New topic: Functions as Infinite Series
- New topic: Partial Fraction Decomposition
- Improved: [Windows] "Export to clipboard as bitmap" pastes into Microsoft Word at appropriate DPI
- Fixed: Keyboard shortcut for adding space to question set
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