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  • MT 401: Seminar

    4.00 Credits
    Cardinal Stritch University - Closed

    This is a culminating experience for majors in mathematics who are near the end of their program of studies. A faculty member acting as a facilitator will provide a list of topics to be covered on the exam and some problems for course discussion. Readings in mathematical history or philosophy may also be required. However, students will be expected to play a major role in planning and carrying out activities to meet the course objectives. The objectives of this seminar are to review fundamental concepts of mathematics; provide opportunities for students to integrate, synthesize and/or extend their knowledge base in mathematics; develop collaborative problem-solving skills in a peer group; and explore career opportunities available to graduates in mathematics. This course is normally taken in a student's final semester of upperdivision coursework in the major. Prerequisite: Senior standing, MT 212 and department approval.
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  • MT 410: Mathematical Modeling

    3.00 Credits
    Cardinal Stritch University - Closed

    Mathematical modeling is a mathematical tool for solving realworld problems. In this course, students will study a problemsolving process. They will learn how to identify a problem, construct or select appropriate models, figure out what data needs to be collected, test the validity of a model, calculate solutions, and implement the model. Emphasis will lie on model construction in order to promote student creativity and demonstrate the link between theoretical mathematics and realworld applications. Prerequisite: MT 211.
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  • MT 421: Topology

    3.00 Credits
    Cardinal Stritch University - Closed

    This one-semester introduction to topology is intended for strong mathematics majors. The goal is to introduce the student to basic concepts of topology, open and closed sets, topological spaces, product spaces, continuity, homeomorphisms, connectedness, compactness, separation properties and metric spaces. Students are challenged to become fluent in logical mathematical reasoning. They learn to read and write good mathematical proofs and to clearly articulate mathematical concepts and processes. By studying the problems and methods of topology, students learn ways that mathematicians have grappled with describing intrinsic qualitative properties of space, that is, properties that are independent of size, location or space. This should not be the student's first course in doing mathematical proofs. A student who has a grade of A in MT 315 or MT 320 should be wellprepared for this course. Prerequisite: Department approval.
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  • MT 425: Abstract Algebra

    3.00 Credits
    Cardinal Stritch University - Closed

    This course is a study of sets, mappings, operations, relations, partitions, and basic algebraic structures, including groups, rings, integral domains, fields, and vector spaces. This will be the second course in a two-semester sequence which will introduce the student to algebraic structures; it will build on the introduction to vector spaces which is begun in the first course, MT 325 Linear Algebra. Prerequisite: MT 315 or MT 320, and MT 325.
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  • MT 450: Numerical Analysis

    3.00 Credits
    Cardinal Stritch University - Closed

    Numerical analysis, particularly applied numerical analysis is concerned with obtaining numerical solutions to problems which do not lend themselves to solution by ordinary mathematical analysis. Since calculators and digital computers do not really use real numbers, numerical problems are compounded when such tools are used to do the number crunching. Often, the only way to get an idea of the solution is to approximate the problem in such a way that numbers representing the solution can be produced. The purpose of this course is to introduce the student to some modern numerical methods, to improve the student's skills in using the computer as a tool to solve numerical problems, to increase the student's awareness of problems inherent in obtaining numerical solutions, and to make the student a more discerning consumer of numerical solutions and software which claims to produce numerical solutions. Prerequisite: The student should have completed three semesters of calculus and have a working knowledge of a higher-level programming language (such as Basic, Pascal, or C). A student who has a grade of A in MT 210 and MT 211 may seek approval of the instructor.
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  • MT 460: Introduction to Complex Analysis

    3.00 Credits
    Cardinal Stritch University - Closed

    Calculus ordinarily covers a wide range of topics involving realvalued functions. Complex analysis will extend these topics to the system of complex numbers. Topics to be covered in this introductory course include the algebra of complex numbers; various representations of complex numbers (points, vectors, polar forms); analytical functions; exponential, trigonometric and logarithmic functions; complex integration; and series representations for analytic functions. Prerequisite: MT 212 or department approval.
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  • MT 470: Theory of Probability and Statistics

    3.00 Credits
    Cardinal Stritch University - Closed

    This course will be an introduction to the basic concepts and applications of probability and sampling distributions, estimation, test of hypotheses, regression and correlation. Prerequisite: MT 211 and MT 365.
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  • MT 480: Advanced Calculus

    3.00 Credits
    Cardinal Stritch University - Closed

    A study of the theory of calculus from an advanced viewpoint. Limits, continuous and differentiable functions, theory of integration, sequences and series, convergence, transformations of n-space, line and surface integrals will be studied. Prerequisite: MT 212.
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  • MT 485: Advanced Topics in Mathematics

    1.00 - 3.00 Credits
    Cardinal Stritch University - Closed

    The content of this course is not fixed. Topics covered will vary depending upon the interests and background of the faculty member offering the course and the students involved. Prerequisite: Instructor approval.
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  • MU 105: Music Theory I

    2.00 Credits
    Cardinal Stritch University - Closed

    This is the first of a six-course sequence in music theory required for completion of the Bachelor of Music. This course will provide a basis for the understanding and application of the following music theory knowledge base: notation, simple and compound meter, major and minor keys, scales, modes, intervals, triads, non-harmonic tones and cadences. Upon successful completion of this course, students will be prepared to continue with the study of music theory in MU 106. This is a required course for music majors and minors.
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