Foundations of Higher Mathematics/Mathematical Proof Sample Clauses

Foundations of Higher Mathematics/Mathematical Proof. Mathematical systems are built up logically from statements that are true. In a mathematical system, a statement that is not an axiom or a definition is not accepted as true until it has been proven. Therefore, the ability to prove mathematical theorems and to read and comprehend the proofs of mathematical theorems is a necessary competency for the understanding of the structure of mathematics. The following competencies have been identified as essential for comparable preparation in this content area: Competency 1: Use of Logic Competency 2: Use of Quantifiers Competency 3: Use of Set Theory Competency 4: Proof Techniques Competency 5: Relations and Functions Competency 6: Applying Proof Techniques See Appendix C: Competencies for Preparation in Foundations of Higher Mathematics/ Mathematical Proof.
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Foundations of Higher Mathematics/Mathematical Proof. Mathematical systems are built up logically from statements that are true. In a mathematical system, a statement that is not an axiom or a definition is not accepted as true until it has been proven. Therefore, the ability to prove mathematical theorems and to read and comprehend the proofs of mathematical theorems is a necessary competency for the understanding of the structure of mathematics. The following competencies have been identified as essential for comparable preparation in this content area: Competency 1: Use of Logic Competency 2: Use of Quantifiers Competency 3: Use of Set Theory Competency 4: Proof Techniques Competency 5: Relations and Functions Competency 6: Applying Proof Techniques See Appendix C: Competencies for Preparation in Foundations of Higher Mathematics/ Mathematical Proof. R ECOMMENDED Major-Specific Content Areas In addition to the required competencies listed above, students transferring into a bachelor degree program in Mathematics would also benefit from acquiring competencies in at least ONE of the following content areas:

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