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Mathematical Reasoning –
mth330
(3 credits)
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.
This undergraduate-level course is 5
weeks.
To enroll, speak with an Enrollment Advisor.
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Significant Historical Proofs
- Compare and contrast the work of two historically significant mathematicians.
- Decipher proofs of historical significance.
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Sets and Numbers
- Utilize the rules of arithmetic (axioms) to create mathematical proofs.
- Utilize Venn diagrams to represent logical concepts.
- Differentiate among number systems.
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Theoretical Geometry
- Demonstrate an understanding of geometric proofs.
- Define geometric terms such as lines, points, rays, and angles.
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Formalities and Techniques of Logic
- Construct valid logical arguments.
- Analyze arguments for validity.
- Differentiate among axioms, theorems, corollaries, and lemmas.
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Basics of Logic
- Identify mathematical laws in logical statements.
- Utilize truth tables to represent logical concepts.
- Create sentences using standard mathematical terms.
- The University of Phoenix reserves the right to modify courses.
- While widely available, not all programs are available in all locations or in both online and on-campus formats. Please check with a University Enrollment Advisor.
- Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.
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