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Lamar University, Beaumont
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Our courses are approved by the American Council on Education (ACE) — the same body that approves AP and IB — and are accepted for credit by thousands of universities, including yours.

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Learning Outcomes
Lamar University, Beaumont
Upon the successful completion of this course, students will be able to: apply discrete mathematical concepts essential for advanced mathematical reasoning and problem-solving; construct logical proofs, including identifying fallacies, manipulating logical connectors, and interpreting conditional statements; apply set theory, functions, sequences, and series to solve counting problems and analyze probabilistic scenarios; solve recursive solutions to advanced counting problems and combinatorial scenarios, utilizing techniques such as generating functions and the inclusion-exclusion principle; evaluate core principles in graph theory, including graph properties, algorithms, and their practical applications in computer science and engineering; and design and optimize circuits in digital electronics and computer science using tree structures, matrices, and Boolean Algebra.
Major Course Topics
Major topics include fundamentals of mathematical logic and proof techniques; fundamentals of sets and functions in discrete Mathematics; sequences, series, and mathematical induction; counting principles and combinatorial analysis; discrete probability and expected values; binomial probability analysis; recursive methods and advanced counting techniques; fundamentals of graph theory; fundamentals of trees in discrete Mathematics; fundamentals of matrices in discrete Mathematics; and Boolean algebra and logic circuits.
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