- Graduates will be able to explain the concepts and applications of elementary functions.

- Graduates will be able to explain the concepts of calculus to model dynamic change.

- Graduates will be able to explain the concepts, methods, and applications of logic and discrete models.

- Graduates will be able to apply and explain the concepts, methods, and applications of algebra systems.

- Graduates will be able to apply and explain the concepts, methods, and applications of Euclidean and Non-Euclidean geometry using inductive and deductive approaches.

- Graduates can plan, teach, and assess lessons concerning topics presented in Student Learning Outcomes1–5 using their understanding of mathematics, learning theory, and pedagogy.

- Graduates can use appropriate technology to investigate and represent concepts, methods, and applications of mathematical problems. Graduates can use appropriate technology to teach and assess student understanding of mathematical concepts.

- Graduates will be able to use the principles of mathematical thinking to solve and prove mathematical problems.

- Graduates will be able to plan, teach, and assess lessons involving mathematical thinking using their understanding of mathematics, learning theory, and pedagogy.

- Graduates will be able to apply and explain the historical and cultural development of each branch of mathematics to the discovery of important mathematical ideas.

- Graduates will be able to use differential and integral calculus as well as sequences and series to solve problems.

- Graduates will be able to use concepts of vector subspaces of Rn and Rn×m to solve problems.

- Graduates will be to write proofs using contrapositive, contradiction, cases, and mathematical induction.

- Graduates will know standard applications of calculus, linear algebra, and statistics.

- Graduates will be able to apply their understanding of mathematics to fields outside of mathematics.

- Graduates will be able to describe the differences between the following types of mathematics: discrete/continuous, algebraic/geometric, pure/applied, and deterministic/stochastic.

- Graduates will be able to communicate mathematical ideas through writing.

- Graduates will be able to communicate mathematical ideas orally

- Graduates will be able to use statistical methods to analyze and model time-independent and time-series data.

- Graduates will be able to use statistical methods and credibility theory to analyze and model insurance loss data.

- Graduates will be able to formulate actuarial problems in mathematical, probabilistic and statistical terms.

- Graduates will be able to apply common probability distributions to actuarial applications.

- Graduates will be able to apply concepts of differential and integral calculus to actuarial problems.

- Graduates will be able to employ simulation techniques to analyze and solve dynamic and complex stochastic and mathematical models.

- Graduates will be able to use programming languages such as C++, S, or Visual Basic.

- Graduates will be able to communicate results and solutions of mathematical, statistical, and actuarial problems in writing using every day and mathematical language.

- Graduates will be able to communicate mathematical and statistical solutions orally, using both every day and mathematical language.

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