OpenStax Calculus Volume 1

NEW: A peer-reviewed edition of this course with instructional content (videos, applets) is now available.

Info

Adaptive
This course offers personalized support for each student.

This is an online homework companion to OpenStax Calculus Volume 1. It comprises over 400 interactive problems that are designed to develop conceptual understanding and reinforce problem-solving skills. It comprises 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.

Interactive, algorithmic problems
Algebraic, graphing, open response; randomized variants, hints, and tips
Adaptive learning and personalization
Each student receives personalized support
to fill learning gaps.
Corequisite course structures
Use pre-built corequisite content,
or create your own.
LMS integration and accessibility
Connect to your LMS in minutes. VPAT here.
WeBWorK-compatible
Import and author WeBWorK problems.

Similar Courses

Syllabus

  1. 0 Edfinity Demo
  2. 1.1 Review of Functions
  3. 1.2 Basic Classes of Functions
  4. 1.3 Trigonometric Functions
  5. 1.4 Inverse Functions
  6. 1.5 Exponential and Logarithmic Functions
  7. 2.1 A Preview of Calculus
  8. 2.2 The Limit of a Function
  9. 2.3 The Limit Laws
  10. 2.4 Continuity
  11. 2.5 The Precise Definition of a Limit
  12. 3.1 Defining the Derivative
  13. 3.2 The Derivative as a Function
  14. 3.3 Differentiation Rules
  15. 3.4 Derivatives as Rates of Change
  16. 3.5 Derivatives of Trigonometric Functions
  17. 3.6 The Chain Rule
  18. 3.7 Derivatives of Inverse Functions
  19. 3.8 Implicit Differentiation
  20. 3.9 Derivatives of Exponential and Logarithmic Functions
  21. 4.1 Related Rates
  22. 4.2 Linear Approximations and Differentials
  23. 4.3 Maxima and Minima
  24. 4.4 The Mean Value Theorem
  25. 4.5 Derivatives and the Shape of a Graph
  26. 4.6 Limits at Infinity and Asymptotes
  27. 4.7 Applied Optimization Problems
  28. 4.8 L’Hôpital’s Rule
  29. 4.9 Newton's Method
  30. 4.10 Antiderivatives
  31. 5.1 Approximating Areas
  32. 5.2 The Definite Integral
  33. 5.3 The Fundamental Theorem of Calculus
  34. 5.4 Integration Formulas and the Net Change Theorem
  35. 5.5 Substitution
  36. 5.6 Integrals Involving Exponential and Logarithmic Functions
  37. 5.7 Integrals Resulting in Inverse Trigonometric Functions
  38. 6.1 Areas between Curves
  39. 6.2 Determining Volumes by Slicing
  40. 6.3 Volumes of Revolution: Cylindrical Shells
  41. 6.4 Arc Length of a Curve and Surface Area
  42. 6.5 Physical Applications
  43. 6.6 Moments and Center of Mass
  44. 6.7 Integrals, Exponential Functions, and Logarithms
  45. 6.8 Exponential Growth and Decay
  46. 6.9 Calculus of the Hyperbolic Functions

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