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Course Criteria
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2.00 Credits
This course is designed to educate pre-service secondary teachers of mathematics in the integration of instructional technology to aid in the teaching and learning of mathematics. This will involve students to acquire and demonstrate expertise with software, apps, and calculators. Develop mathematics lessons using information from discussion and research. These lessons will involve students in an active and meaningful mathematical learning experience involving instructional technology.
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3.00 Credits
Objectives, methods, materials, and evaluation of teaching mathematics in grades 9-12. This course is the upper division writing course for BS majors in mathematics with the emphasis in teaching. Students in this course must have Junior standing.
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3.00 Credits
Applications and synthesis of mathematical and statistical concepts included in the Actuarial Examination I, administered by the Society of Actuaries. Linear time series models, seasonal models, stationary models, moving average, autoregressive and ARIMA models, model identification, confidence intervals and testing, forecasting and error analysis.
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3.00 Credits
In this course, students will learn about vector spaces, including subspaces, sums, direct sums, span, linear independence, bases and dimensions. Students will understand the relationship between matrices and linear transformations including, eigenvectors, eigenspaces, the characteristic polynomial, Jordan form, determinants and trace.
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4.00 Credits
Discrete and continuous probability distributions, marginal and conditional densities, moment generating functions, transformations, and limiting distributions. Sampling distributions, parametric point estimation and tests of hypotheses.
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3.00 Credits
Students will learn the theoretical aspects of estimation and hypotheses testing procedures, and their applications.
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3.00 Credits
This course provides an introduction to both short-term and long-term insurance. The short-term section provides an introduction to the feature of insurance and reinsurance coverage, severity, frequency and aggerate models and covers the foundational principles of ratemaking and reserving. It introduces methods to calculate premiums and reserves and to value simple option and derivatives. The concepts of credibility and the application of credibility in some practical settings are covered. The parameters estimation for parametric models are also covered. The long-term section introduces the key features of long-term insurance coverages and retirement financial security programs. It develops knowledge of the theoretical basis of contingent payment models and the application of those models to insurance and other financial risks. Concepts concerning parametric and non-parametric mortality models for individual lives, calculations on the present value random variables associated with benefits and expenses, premium and policy values for long term insurance coverage are covered.
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4.00 Credits
Numerical solutions to systems of equations and differential equations, finite differences, interpolation formulas, numerical calculus, and approximating functions.
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3.00 Credits
A continuation of MATH 366. The students will learn more advanced techniques for solving differential equations and modeling using differential equations. Students will also learn about partial differential equations and some basic solutions to them.
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1.00 - 12.00 Credits
A supervised practical experience in mathematics. A maximum of 12 internship credits may be applied to the degree.
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