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MTH 351: Geometries
3.00 Credits
Doane University
Survey of Euclidean geometry, study of selected topics in non-Euclidean and other geometries. Prerequisite:Sophomore standing. MTH 236 (may be taken concurrently) and 250. Offered alternate spring terms.
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MTH 351 - Geometries
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MTH 355: Probability
3.00 Credits
Doane University
Random variables, conditional probability and independence, expectation, moment generating functions, special distributions. Prerequisite: MTH 236 and 250. Offered fall term.
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MTH 355 - Probability
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MTH 356: Statistics
3.00 Credits
Doane University
A continuation of MTH 355. Sampling distributions, hypothesis testing, nonparametric methods, linear statistical models. Prerequisite: MTH 355. Offered spring term.
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MTH 356 - Statistics
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MTH 358: Actuarial Mathematics
2.00 Credits
Doane University
An examination of calculus and probability tools applied in finance and insurance providing preliminary preparation for the Society of Actuaries Exam P. Students successfully completing this course will: 1) be capable of determining probability and calculus tools applicable to financial and insurance problems, and 2) become adept at solving multiple-choice questions typical to S.O.A. exams. Prerequisite: MTH 236 and 355. Offered spring term.
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MTH 358 - Actuarial Mathematics
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MTH 403: Abstract Algebra
3.00 Credits
Doane University
Introduction to properties of groups, rings, integral domains, and fields. Prerequisite: MTH 250 and 303. Offered alternate spring terms.
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MTH 403 - Abstract Algebra
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MTH 421: Mathematics Internship
0.00 - 12.00 Credits
Doane University
On-the-job experience in mathematics. Prerequisite: CED 205 or permission. (Pass/Fail)
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MTH 421 - Mathematics Internship
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MTH 433: Introductory Analysis
3.00 Credits
Doane University
An introduction to the theoretical foundations of calculus. Students successfully completing this course will: 1) understand the development of elementary calculus tools, 2) be familiar with the history, theorems and conjectures of traditional mathematical analysis, and 3) communicate mathematically through a variety of proof techniques. Prerequisite: MTH 236 and 250. Offered alternate fall terms.
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MTH 433 - Introductory Analysis
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MTH 435: Mathematical Methods for Physics
4.00 Credits
Doane University
A course designed to integrate mathematics into a coherent foundation for problem solving for upper-level physics and engineering courses. Topics include Laplace and Fourier transformations, Fourier series, vector operators, ordinary and partial differential equations, and orthogonal functions. Emphasis is given to the solution (analytical and numerical) of problems from both physics and engineering. Completion of the course allows the student to define important aspects of each mathematical topic, to describe the relevance of each topic to physics and engineering problems, and to work both formal and physics/engineering problems involving each topic. Prerequisite: PHY 107, 108; MTH 236. (Cross-referenced with PHY 435.)
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MTH 435 - Mathematical Methods for Physics
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MTH 496: Mathematics Seminar I
1.00 Credits
Doane University
An introduction to research in a selected area of mathematics, mathematics education, or an application in mathematics. The course increases the students' abilities to communicate their explorations in mathematics. Each student explores possible topics and develops a plan of action for his/her Mathematics Seminar II project. The student also develops research, writing, and presentation skills to carry out an independent research project. Prerequisite: Junior or senior mathematics major and 12 credits at the 300 level or above, or permission. Offered spring term.
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MTH 496 - Mathematics Seminar I
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MTH 497: Mathematics Seminar II
2.00 Credits
Doane University
In consultation with a faculty member, the student executes the plan of action created in Mathematics Seminar I. The project culminates in a formal paper and oral presentation demonstrating the student's ability to independently research a topic and effectively communicate mathematics. Prerequisite: MTH 496 or permission. Offered every term.
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MTH 497 - Mathematics Seminar II
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