## 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; 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).