UPI Study, Inc. | Evaluated Learning Experience
Math 230: Discrete Mathematics
Varies (self-study, self-paced).
March 2021 - Present.
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.
The course is self-paced. Instruction is delivered through online video and text lessons. Students are assessed through quizzes, assignments and a proctored final exam. 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.
In the lower division baccalaureate/associate degree category OR in the upper division baccalaureate degree category, 4 semester hours in Calculus or Mathematics (5/24).
