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MTH 3533: Mathematics Teaching Methods
4.00 Credits
The College of Saint Scholastica
4 cr. This course consists of two portions. Secondary planning for mathematics instruction includes classroom observations and the study of mathematics curriculum, assessment, teaching methods and resources for teaching and learning aids. Highlights ofmath related to high school teaching revisit some important concepts in core math courses. Prerequisites: completion of at least five mathematics courses in the major programincluding Cal. II and DiscreteMath I. Co-requisite: EDU 3800.
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MTH 3533 - Mathematics Teaching Methods
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MTH 3535: MathMethods Field Experience
1.00 Credits
The College of Saint Scholastica
1 cr. Introduces students to the culture of a high school environment. They observe and assist amath teacher, interview school personnel, talk with students, and teach technology-integrated math lessons and content area reading strategies. Assessment practices are observed and practiced.Co-requisite:MTH 3533.
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MTH 3535 - MathMethods Field Experience
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MTH 4332: Abstract Algebra I
4.00 Credits
The College of Saint Scholastica
4 cr. Introduction to groups, ring and field theory; group homomorphism and isomorphism, Caley's theorem, and quotient groups,LaGrange's theorem; rings, ideals, ring homomorphismand basic properties of fields.Prerequisite: MTH 3322 or instructor's permission.
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MTH 4332 - Abstract Algebra I
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MTH 4341: Topics forMathematics Teachers
1.00 - 4.00 Credits
The College of Saint Scholastica
1-4 cr. Study of mathematics topics of particular interest to teachers of mathematics.
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MTH 4341 - Topics forMathematics Teachers
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MTH 4402: DiscreteMathematics II
2.00 Credits
The College of Saint Scholastica
2 cr. Extensions of elementary investigations included in MATH 2401. Students study set theory including principle of inclusion-exclusion; advanced counting techniques and combinatorics; recurrence relations including solving homogeneous linear difference equations; Boolean algebra; graph theory including investigation of isomorphic and homomorphic graphs. Prerequisite: MTH 2401.
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MTH 4402 - DiscreteMathematics II
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MTH 4405: Numerical Analysis
4.00 Credits
The College of Saint Scholastica
4 cr. Theory for error analysis, numerical methods for solving algebraic equations, differentiation and integration, interpolation and approximation to functions, and solving initial value problems of differential equations. Prerequisites: MTH 2222 and MTH 3322. Students are encouraged to take MTH 3323 before taking MTH 4405.
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MTH 4405 - Numerical Analysis
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MTH 4411: Probability and Statistics I
4.00 Credits
The College of Saint Scholastica
4 cr. A survey course in mathematical probability and statistics. It includes probability distributions and densities, mathematical expectations, functions of random variables, introduction to estimation theory and hypothesis testing and applications. Prerequisite: MTH 2222.
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MTH 4411 - Probability and Statistics I
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MTH 4412: Probability and Statistics II
2.00 Credits
The College of Saint Scholastica
2 cr. Study of multivariate distributions, theory of estimation, hypotheses testing, and statistical inference and their applications. Prerequisites: MTH 4411 and MTH 3321.
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MTH 4412 - Probability and Statistics II
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MTH 4421: Principles of Analysis I
4.00 Credits
The College of Saint Scholastica
4 cr. Introduction to real analysis. It includes completeness of the real number system, topology of the real line, sequences, convergence, limits, continuity,differentiability and the Riemann integral, the Fundamental Theorem of Calculus. Prerequisites: MTH 3321,MTH 3322.
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MTH 4421 - Principles of Analysis I
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MTH 4422: Principles of Analysis II
2.00 Credits
The College of Saint Scholastica
2 cr. Sequences of functions, uniform convergence, the Bounded Convergence Theorem, infinite series, topology of the set of real numbers, Heine-Birel Theorem and metric spaces. Prerequisite: MTH 4421.
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MTH 4422 - Principles of Analysis II
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