Standard syllabus
Finite mathematics · Undergraduate · Math
Topics
Logic and sets
- Propositional logic: statements, connectives, and truth tables
- Conditional and biconditional statements; logical equivalence
- Sets, subsets, and Venn diagrams
- Set operations: union, intersection, complement, and Cartesian product
- Counting with the addition and multiplication principles
Combinatorics and probability
- Permutations and combinations
- Binomial coefficients and the binomial theorem (applications)
- Sample spaces, events, and probability axioms
- Conditional probability and independence
- Expected value for discrete random variables (introduction)
Matrices and linear programming
- Matrices: addition, multiplication, and inverses (2×2 and 3×3)
- Systems of linear equations via Gaussian elimination
- Leontief input–output models (introduction)
- Linear programming: graphical method in two variables
- Simplex method overview (where covered)
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