Active Calculus

Active Calculus

Edfinity is supported by the National Science Foundation

About this Course

This is an online homework companion to Active Calculus. It comprises hundreds of algorithmic problems carefully organized into problem sets mapped to textbook sections. Use this course as-is, or customize at any level. You can mix-and-match problems from other catalog courses, add problems from the Edfinity problem repository, or write your own.

How to use this course

  1. Homework: Assign high quality problems with hints and personalized feedback to develop problem-solving skills.
  2. Testing: Create summative secure online quizzes and tests in minutes. 
  3. Supplementary resources: Embed videos, class notes, and applets alongside assignments.
  4. Intervention: Use rich analytics to identify and monitor at-risk students for timely intervention.
  5. Analytics: Drill down into student performance and identify problematic or difficult topics.
  6. Flipped classroom: Assign pre-class assignments. Save precious class time for discussions.
  7. Emporium classes: Use Edfinity for individual/group work for large enrollment sections in labs.

Edfinity is a full-featured homework system that supports mathematically-aware problems with algebraic input, evaluation of mathematical expressions, randomized variants, prerequisite pathways for personalized learning, collaboration, coordinated courses, flexible configuration of students’ experience, and complete customization of assignments. Edfinity is WeBWorK-compatible - existing WeBWorK courses can be automatically imported, and you can author new WeBWorK problems using our problem authoring tool.

This course was curated by Christina Safranski and the Edfinity team. Active Calculus was written by Boelkins, Austin, and Schlicker.

Interactive, algorithmic problems
Algebraic, graphing, numeric, open response; randomized variants, hints, and tips
Personalization and corequisites
Create personalized prerequisite pathways.
LMS integration
Connect to your LMS in minutes.
ADA-compliant
Read our VPAT.
WeBWorK-compatible
Import and author WeBWorK problems.

Problem Sets

  1. Edfinity Demo
  2. Review of Prerequisites for Calculus I
  3. 1.1 How Do We Measure Velocity? (Preview)
  4. 1.1 How Do We Measure Velocity?
  5. 1.2 The Notion of a Limit (Preview)
  6. 1.2 The Notion Of A Limit
  7. 1.3 The Derivative of a Function at a Point (Preview)
  8. 1.3 The Derivative Of A Function At A Point
  9. 1.4 The Derivative Function (Preview)
  10. 1.4 The Derivative Function
  11. 1.5 Interpreting, Estimating, and Using the Derivative (Preview)
  12. 1.5 Interpreting, Estimating, And Using The Derivative
  13. 1.6 The Second Derivative (Preview)
  14. 1.6 The Second Derivative
  15. 1.7 Limits, Continuity, And Differentiability (Preview)
  16. 1.7 Limits, Continuity, And Differentiability
  17. 1.8 The Tangent Line Approximation (Preview)
  18. 1.8 The Tangent Line Approximation
  19. 2.1 Elementary Derivative Rules (Preview)
  20. 2.1 Elementary Derivative Rules
  21. 2.2 Sine and Cosine Functions (Preview)
  22. 2.2 The Sine And Cosine Functions
  23. 2.3 The Product and Quotient Rules (Preview)
  24. 2.3 Product And Quotient Rules
  25. 2.4 Derivatives of Other Trigonometric Functions (Preview)
  26. 2.4 Derivatives Of Other Trigonometric Functions
  27. 2.5 The Chain Rule (Preview)
  28. 2.5 The Chain Rule
  29. 2.6 Derivatives of Inverse Functions (Preview)
  30. 2.6 Derivatives Of Inverse Functions
  31. 2.7 Derivatives of Functions Given Implicitly (Preview)
  32. 2.7 Derivatives Of Functions Given Implicitly
  33. 2.8 Using Derivatives to Evaluate Limits (Preview)
  34. 2.8 Using Derivatives To Evaluate Limits
  35. 3.1 Using Derivatives to Identify Extreme Values (Preview)
  36. 3.1 Using Derivatives To Identify Extreme Values
  37. 3.2 Using Derivatives to Describe Families of Functions (Preview)
  38. 3.2 Using Derivatives To Describe Families Of Functions
  39. 3.3 Global Optimization (Preview)
  40. 3.3 Global Optimization
  41. 3.4 Applied Optimization (Preview)
  42. 3.4 Applied Optimization
  43. 3.5 Related Rates (Preview)
  44. 3.5 Related Rates
  45. 4.1 Determining Distance Traveled From Velocity (Preview)
  46. 4.1 Determining Distance Traveled from Velocity
  47. 4.2 Riemann Sums (Preview)
  48. 4.2 Riemann Sums
  49. 4.3 The Definite Integral (Preview)
  50. 4.3 The Definite Integral
  51. 4.4 The Fundamental Theorem of Calculus (Preview)
  52. 4.4 The Fundamental Theorem of Calculus
  53. Review of Prerequisites for Calculus II
  54. 5.1 Constructing Accurate Graphs of Antiderivatives (Preview)
  55. 5.1 Constructing Accurate Graphs of Antiderivatives
  56. 5.2 The Second Fundamental Theorem of Calculus (Preview)
  57. 5.2 The Second Fundamental Theorem of Calculus
  58. 5.3 Integration by Substitution (Preview)
  59. 5.3 Integration by Substitution
  60. 5.4 Integration by Parts (Preview)
  61. 5.4 Integration By Parts
  62. 5.5 Other Options for Finding Algebraic Antiderivatives (Preview)
  63. 5.5 Other Options For Finding Algebraic Antiderivatives
  64. 5.5(i) Partial Fractions (Preview)
  65. 5.5(ii) Trigonometric Integrals (Preview)
  66. 5.5(i/ii) Partial Fractions and Trigonometric Integrals
  67. 5.6 Numerical Integration (Preview)
  68. 5.6 Numerical Integration
  69. 6.1 Using Definite Integrals to Find Area and Length (Preview)
  70. 6.1 Using Definite Integrals To Find Area And Length
  71. 6.2 Using Definite Integrals to Find Volume (Preview)
  72. 6.2 Using Definite Integrals To Find Volume
  73. 6.3 Density, Mass, and Center of Mass (Preview)
  74. 6.3 Density Mass And Center Of Mass
  75. 6.4 Physics Applications: Work, Force, and Pressures (Preview)
  76. 6.4 Physics Applications Work Force And Pressure
  77. 6.5 Improper Integrals (Preview)
  78. 6.5 Improper Integrals
  79. 7.1 Introduction to Differential Equations (Preview)
  80. 7.1 An Introduction To Differential Equations
  81. 7.2 Qualitative Behavior of Solutions to DEs (Preview)
  82. 7.2 Qualitative Behavior Of Solutions To DEs
  83. 7.3 Euler's Method (Preview)
  84. 7.3 Eulers Method
  85. 7.4 Separable Differential Equations (Preview)
  86. 7.4 Separable Differential Equations
  87. 7.5 Modeling with Differential Equations (Preview)
  88. 7.5 Modeling With Differential Equations
  89. 7.6 Population Growth and the Logistic Equation (Preview)
  90. 7.6 Population Growth And The Logistic Equation
  91. 8.1 Sequences (Preview)
  92. 8.1 Sequences
  93. 8.2 Geometric Series (Preview)
  94. 8.2 Geometric Series
  95. 8.3 Series of Real Numbers (Preview)
  96. 8.3 Series Of Real Numbers
  97. 8.4 Alternating Series (Preview)
  98. 8.4 Alternating Series
  99. 8.5 Taylor Polynomials and Taylor Series (Preview)
  100. 8.5 Taylor Polynomials And Taylor Series
  101. 8.6 Power Series (Preview)
  102. 8.6 Power Series

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