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Goals, Objectives and Outcomes

The following goals will be assessed periodically, on a rotating schedule.

Goal I. (Knowledge) Master a rich and diverse set of mathematical ideas and demonstrate connections among different areas of mathematics and between mathematics and other disciplines.

  1. Objective I.A. Acquire substantial knowledge of the foundational branches of mathematics.
    • Outcome I.A.1. Students completing a mathematics degree will demonstrate competence in the full calculus sequence, in logic, in set theory (also includes functions and relations) and in linear algebra.
    • Outcome I.A.2. Students completing the BS ED program will meet or exceed CAEP requirements for the indicators of content knowledge standards. These standards currently include Number and Operation, Linear and Abstract Algebra, Euclidean and Non-Euclidean Geometry, Calculus, Discrete Mathematics, Probability and Statistics, and Measurement.(CAEP report and accreditation)
  2. Objective I.B. Acquire substantial knowledge of the connections among different areas of mathematics and between mathematics and other disciplines.
    • Outcome I.B.1. Students completing the BS ED program will meet or exceed CAEP requirements for the indicators of the Mathematical Connections standard.
    • Outcome I.B.2. Students completing MAT 488 will produce and use a model of a significant, unstructured problem or situation.
    • Outcome I.B.3. Students completing MAT 498 will read, understand and summarize a research paper in mathematics.
Goal II. (Application) Develop significant mathematical problem solving skills.

  1. Objective II.A. Solve routine and non-routine mathematics problems. (all programs)
    • Outcome II.A.1. In Calculus I and III or in MAT 320, students will be required to solve word problems so that they become competent in these techniques.
    • Outcome II.A.2. Students will address a substantial, novel problem related to their program.
  2. Objective II.B. Students will acquire skill and utilize technology to do mathematics appropriate to the content areas of their concentration.
    • Outcome II.B.1. BA: Technologies include graphing calculator, mathematics utility, statistics tool. Specific outcomes include the numerical calculation of derivatives (MAT 150), integrals (MAT 151), vector products (MAT 252), probabilities and test statistics (MAT 320) and graphing in two and three dimensions (MAT 252).
    • Outcome II.B.2. BS Applied: Students will satisfy II.B.1 (for BA students) and additionally will utilize procedural programming to solve mathematical problems.
    • Outcome II.B.3. BS Education: Students will meet or exceed CAEP requirements for the indicators of the Technology standard.
  3. Objective II.C. Generate mathematical models to solve realistic application problems. (BS Applied)
    • Outcome II.C.1. In MAT 245 and 320, BS Applied students will demonstrate proficiency in modeling realistic problems with differential equations and probability distributions, respectively.
Goal III. (Communication) Communicate mathematics effectively.

  1. Objective III.A. Write mathematical proofs. (all programs)
    • Outcome III.A.1. In MAT 250 students will demonstrate the ability to use the following proof elements: existential and universally quantified statements, conditionals (direct, contrapositive), cases, proof by contradiction, mathematical induction.
    • Outcome III.A.2. Students will demonstrate facility with at least three of the following proof elements: existentially quantified statements, universally quantified statements, direct proof, proof by contrapositive, proof by contradiction, mathematical induction, proofs organized by cases.
  2. Objective III.B. Explain mathematics, both verbally and in writing. (all programs)
    • Outcome III.B.1. In MAT 488 or 498, BA and BS Applied students will analyze a substantial mathematical or mathematical modeling question, create mathematical arguments and present the results both orally and in writing.
    • Outcome III.B.2. BS Education students will meet or exceed CAEP requirements for the indicators of the Mathematical Communication and Pedagogy standards.