Standard syllabus
Finite mathematics · Undergraduate · Math
Learning objectives from the Finite mathematics syllabus, grouped by unit. Click an objective for study materials.
Topics typically covered
Click a topic for the full text and related unit practice.
Undergraduate Finite Mathematics — scope drawn from typical US finite math syllabi and open finite-math / finite-mathematics LibreTexts materials.
Logic and sets
- Propositional logic — Propositional logic
- Truth tables — Truth tables
- Conditional — Conditional
- Biconditional statements — Biconditional statements
- Sets, subsets, and Venn diagrams — Sets, subsets, and Venn diagrams
- Set operations — Set operations
- Cartesian product — Cartesian product
- Counting with the addition — Counting with the addition
- Multiplication principles — Multiplication principles
Combinatorics and probability
- Permutations and combinations — Permutations and combinations
- Binomial coefficients — Binomial coefficients
- The binomial theorem (applications) — The binomial theorem (applications)
- Sample spaces and events — Sample spaces and events
- Probability axioms — Probability axioms
- Conditional probability and independence — Conditional probability and independence
- Expected value for discrete random variables (introduction) — Expected value for discrete random variables (introduction)
Matrices and linear programming
- Matrices: addition, multiplication, and inverses (2×2 and 3×3) — Matrices: addition, multiplication, and inverses (2×2 and 3×3)
- Systems of linear equations via Gaussian elimination — Systems of linear equations via Gaussian elimination
- Leontief input–output models (introduction) — Leontief input–output models (introduction)
- Linear programming: graphical method in two variables — Linear programming: graphical method in two variables
- Simplex method overview (where covered) — Simplex method overview (where covered)
Learning objectives
Click an objective for study materials.
Logic and sets
- Propositional logic — Propositional logic
- Truth tables — Truth tables
- Conditional — Conditional
- Biconditional statements — Biconditional statements
- Sets, subsets, and Venn diagrams — Sets, subsets, and Venn diagrams
- Set operations — Set operations
- Cartesian product — Cartesian product
- Counting with the addition — Counting with the addition
Combinatorics and probability
- Permutations and combinations — Permutations and combinations
- Binomial coefficients — Binomial coefficients
- The binomial theorem (applications) — The binomial theorem (applications)
- Sample spaces and events — Sample spaces and events
- Probability axioms — Probability axioms
- Conditional probability and independence — Conditional probability and independence
- Expected value for discrete random variables (introduction) — Expected value for discrete random variables (introduction)
Matrices and linear programming
- Matrices: addition, multiplication, and inverses (2×2 and 3×3) — Matrices: addition, multiplication, and inverses (2×2 and 3×3)
- Systems of linear equations via Gaussian elimination — Systems of linear equations via Gaussian elimination
- Leontief input–output models (introduction) — Leontief input–output models (introduction)
- Linear programming: graphical method in two variables — Linear programming: graphical method in two variables
- Simplex method overview (where covered) — Simplex method overview (where covered)
Multi-Unit Problems
Course-level sets that combine skills across study units (coming soon).
Browse Multi-Unit ProblemsWhat each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Logic and sets
Propositional logic
Coming soon - Combinatorics and probability
Permutations and combinations
Coming soon - Matrices and linear programming
Matrices: addition, multiplication, and inverses (2×2 and 3×3)
Coming soon
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