Upon successful completion of the course, students will be able to: solve basic logic problems and mathematical proofs, explaining the reasoning behind the solution; identify and compare different types of sets and their representation, including finite, infinite, countable, and uncountable sets; demonstrate techniques for performing operations and solving equations with rational and irrational numbers; differentiate between relations and functions, and determine if a function is an injection, surjection, or bijection; write equations to calculate combinations and permutations and use those equations to solve problems; measure the angles of a triangle and use indirect proofs to prove two lines are parallel; construct a geometric proof to determine the validity of a statement; calculate the area of basic geometric shapes such as triangles, quadrilaterals, polygons, and circles; compare figures to determine if they are symmetrical.