Discrete Mathematics: an Open Introduction
Edfinity is supported by the National Science FoundationInfo
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
- Homework: Assign high quality problems with hints and personalized feedback to develop problem-solving skills.
- Testing: Create summative secure online quizzes and tests in minutes.
- Supplementary resources: Embed videos, class notes, and applets alongside assignments.
- Intervention: Use rich analytics to identify and monitor at-risk students for timely intervention.
- Analytics: Drill down into student performance and identify problematic or difficult topics.
- Flipped classroom: Assign pre-class assignments. Save precious class time for discussions.
- 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.
Algebraic, graphing, open response; randomized variants, hints, and tips
Each student receives personalized support
to fill learning gaps.
Use pre-built corequisite content,
or create your own.
Connect to your LMS in minutes. VPAT here.
Import and author WeBWorK problems.
Syllabus
- Edfinity Demo
- 0.2 Mathematical Statements
- 0.3 Sets
- 0.4 Functions
- 1.1 Additive and Multiplicative Principles
- 1.2 Binomial Coefficients
- 1.3 Combinations and Permutations
- 1.4 Combinatorial Proofs
- 1.5 Stars and Bars
- 1.6 Advanced Counting Using PIE
- Chapter 1 Review
- 2.1 Describing Sequences
- 2.2 Arithmetic and Geometric Sequences
- 2.3 Polynomial Fitting
- 2.4 Solving Recurrence Relations
- 2.5 Induction
- Chapter 2 Review
- 3.1 Propositional Logic
- 3.2 Proofs
- Chapter 3 Review
- 4.1 Graph Theory Definitions
- 4.2 Trees
- 4.3 Planar Graphs
- 4.4 Coloring Graphs
- 4.5 Euler Paths and Circuits
- 5.2 Introduction to Number Theory
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