This course presents an introduction to advanced mathematical concepts and historical perspectives. Students examine truth tables and develop competence with formal logical proof techniques. Students investigate the real number system and also explore mathematical language, functions, and theoretical geometry.
Compare and contrast the work of two historically significant mathematicians.
Decipher proofs of historical significance.
Sets and Numbers
Utilize the rules of arithmetic (axioms) to create mathematical proofs.
Utilize Venn diagrams to represent logical concepts.
Differentiate among number systems.
Demonstrate an understanding of geometric proofs.
Define geometric terms such as lines, points, rays, and angles.
Formalities and Techniques of Logic
Construct valid logical arguments.
Analyze arguments for validity.
Differentiate among axioms, theorems, corollaries, and lemmas.
Basics of Logic
Identify mathematical laws in logical statements.
Utilize truth tables to represent logical concepts.
Create sentences using standard mathematical terms.
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