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Course Criteria
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3.00 Credits
Prerequisite(s): MATH 1210 with a grade of C or higher and University Advanced Standing. Explores important conceptual underpinnings, common misconceptions and students' ways of thinking, appropriate use of technology, instructional practices to support and assess the learning of geometry in grades 6-9, and designed for students seeking a Middle School Mathematics Endorsement from the Utah State Board of Education. Teaches constructions and transformations, congruence and similarity, analytic geometry, solid geometry, and the historical development of content and perspectives from diverse cultures. Makes explicit connections to various mathematical content strands (modeling, function, and algebra).
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3.00 Credits
Prerequisite(s): MATH 1210 with a grade of C or higher and University Advanced Standing. Explores important conceptual underpinnings, common misconceptions and students' ways of thinking, appropriate use of technology, instructional practices to support and assess the learning of statistics and probability, and is designed for students seeking a Middle School Mathematics Endorsement from the Utah State Board of Education. Focuses on summarizing and representing data, study design and sampling, probability, testing claims and drawing conclusions, and the historical development of content and perspectives from diverse cultures.
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3.00 Credits
Prerequisite(s): MATH 1210 with a grade of C or higher and University Advanced Standing. Presents different methods of teaching mathematical ideas at the middle school level. Includes classroom instruction, student presentations, the study of various techniques of assessment and classroom management, and is designed for students seeking a Middle School Mathematics Endorsement from the Utah State Board of Education.
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3.00 Credits
Prerequisite(s): MATH 2270 with a grade of C or higher and MATH 2210 with a grade of C or higher and University Advanced Standing. Pre- or Corequisite(s): MATH 2280. Introduces logic and mathematical proof. Offers an axiomatic development of Euclidean and non-Euclidean geometries.
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3.00 Credits
Prerequisite(s): MATH 3100 with a grade of C or higher and MATH 2280 with a grade of C or higher and University Advanced Standing. Covers material from beginning analysis including the axioms of the real numbers, sequences, mathematical induction, limits, topology of the real line, continuity, differentiation, and integration.
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3.00 Credits
Prerequisite(s): MATH 2210 or MATH 221H with a grade of C or higher and University Advanced Standing. Introduces complex analysis. Includes algebra of complex numbers, analytic functions, mapping properties of elementary functions, the Cauchy integral formula, complex series, residues, and comformal mapping.
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3.00 Credits
Prerequisite(s):(MATH 2210 or MATH 221H) with a grade of C or higher and MATH 2270 with a grade of C or higher and University Advanced Standing. Pre- or Corequisite(s): MATH 2280. Introduces mathematical logic and proof. Covers the first topics of advanced calculus including the axioms of the real numbers, sequences, mathematical induction, limits, topology of the real numbers, continuity, differentiation, and integration.
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3.00 Credits
Prerequisite(s): MATH 3100 or MATH 3250 with a grade of C or higher and University Advanced Standing. Provides an introduction to algebraic structures. Covers the theory of groups including modular arithmetic, normal subgroups, factor groups, and cyclic groups. Introduces rings, integral domains, and fields.
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3.00 Credits
Prerequisite(s): MATH 1220 with a grade of C or higher and University Advanced Standing. Includes logic, sets, functions, elementary number theory, mathematical induction, equivalence relations, and cardinality. Emphasizes the writing of proofs.
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3.00 Credits
Prerequisite(s): MATH 2270 with a grade of C or higher and University Advanced Standing. Introduces the most important topics of graph theory including graphs and modeling, trees, paths, circuits, and connectivity, matching, planar graphs and coloring, and applications.
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