Discrete Mathematics: an Open Introduction

Edfinity is supported by the National Science Foundation

Info

This is an online homework companion to Discrete Mathematics: an Open Introduction by Oscar Levin. 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.

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.

Syllabus

  1. Edfinity Demo
  2. 0.2 Mathematical Statements
  3. 0.3 Sets
  4. 0.4 Functions
  5. 1.1 Additive and Multiplicative Principles
  6. 1.2 Binomial Coefficients
  7. 1.3 Combinations and Permutations
  8. 1.4 Combinatorial Proofs
  9. 1.5 Stars and Bars
  10. 1.6 Advanced Counting Using PIE
  11. Chapter 1 Review
  12. 2.1 Describing Sequences
  13. 2.2 Arithmetic and Geometric Sequences
  14. 2.3 Polynomial Fitting
  15. 2.4 Solving Recurrence Relations
  16. 2.5 Induction
  17. Chapter 2 Review
  18. 3.1 Propositional Logic
  19. 3.2 Proofs
  20. Chapter 3 Review
  21. 4.1 Graph Theory Definitions
  22. 4.2 Trees
  23. 4.3 Planar Graphs
  24. 4.4 Coloring Graphs
  25. 4.5 Euler Paths and Circuits
  26. 5.2 Introduction to Number Theory

FAQ