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Finite mathematics

Undergraduate · Math

Syllabus focus

Standard syllabus

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$1,162 · Finite mathematics · 18 tutoring hrs

Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle or Venmo.

Topics typically covered

Standard syllabus

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)

Notes

Topics reflect common finite mathematics syllabi for business, economics, and liberal arts majors at US colleges and universities. Exact emphasis on finance topics vs combinatorics varies by department.