Undergraduate Admissions InformationOffice of Undergraduate Admissions Madonna University 36600 Schoolcraft Road Livonia, Michigan 48150-1176 (734) 432-5339 or (800) 852-4951, ext. 5339 Fax (734) 432-5424 Email: admissions@madonna.edu |

## Mathematics Plan of Study |

Mathematics Major: Bach Sci | Mathematics Minor | Mathematics Minor - Support | Mathematics Major - Support: Bach Sci |

## Mathematics Major: Bach Sci |
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## Major Courses (31 cr. to be chosen) |
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MTH 2350 Probability and Statistics | 4 cr. | Topics include data collection and graphic presentation; measures of central tendency; measures of dispersion; normal and binomial distributions; regression and correlation; sampling methods; design of experiments; probability and simulation; sampling distributions; statistical inference including confidence intervals and hypothesis testing for one-sample and two- sample problems; chi-square distribution and test of significance; ANOVA. Prerequisite: two years of high school algebra within the last three years, or placement test, or MTH 1040. |

MTH 2510 Calculus with Analytic Geometry I | 5 cr. | Topics include a study of limits, continuity, derivatives of algebraic and transcendental functions, applications of derivatives, integrals, and the Fundamental Theorem of Calculus. Prerequisite: MTH 1210 or departmental approval. Computer Science majors must complete this course with a grade of C (2.0) or better within the first 20 semester hours of their major. |

MTH 2520 Calculus with Analytic Geometry II | 4 cr. | Derivatives and integrals of transcendental functions, techniques of integration, improper integrals, L'Hopital's Rule, sequences, series, convergence, divergence, power series, Taylor and Maclaurin Series, differentiation and integration of power series. Prerequisite: C or better in MTH 201 |

MTH 3300 Modern Algebra | 3 cr. | Topics include groups, subgroups, isomorphism, cosets and Lagrange's Theorem, group homomorphisms, rings, and integral domains. Prerequisite: MTH 2520. |

MTH 3410 Linear Algebra | 3 cr. | Use of multiple representations of linearity, solution of systems of linear equations, organizing data using matrices, performing matrix operations, using determinants, study of algebraic and geometric structures of vector spaces, recognizing subspaces and spanning sets, finding eigenvectors and eigenvalues, using technology to explore ideas, developing logical proofs, and applying concepts to real-life situations. Prerequisite: MTH 2520. |

MTH 3510 Calculus with Analytic Geometry III | 4 cr. | A study of vectors, vector-valued functions, differential calculus of functions of several variables and applications, multiple integrals, vector fields, and line and surface integrals. Prerequisite: MTH 2520. |

MTH 4510 Introduction to Real Analysis | 3 cr. | Logic, set theory, methods of mathematical proof, relations and functions, cardinality, and study of the properties of the real number system. Emphasis is on rigorous proofs of mathematical statements. Prerequisite: MTH 2520. |

MTH 4650 Foundations of College Geometry | 3 cr. | To broaden the understanding of Euclidean geometry; study finite geometries, geometric transformations and non-Euclidean geometries; write geometric proofs; apply geometric concepts to real world situations; and explore geometric concepts and relationships using interactive software. Prerequisite: MTH 2520. |

MTH 4950 Senior Seminar | 2 cr. | Designed to help students develop oral and written communication within the context of the mathematics major. An essential component of the course is the preparation and presentation of research paper. Taken by mathematics students with senior status as a requirement for graduation; to be taken in the final six hours of the program. |

Mathematics Minor |
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## Minor Courses (22 cr. to be chosen) |
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MTH 2350 Probability and Statistics | 4 cr. | Topics include data collection and graphic presentation; measures of central tendency; measures of dispersion; normal and binomial distributions; regression and correlation; sampling methods; design of experiments; probability and simulation; sampling distributions; statistical inference including confidence intervals and hypothesis testing for one-sample and two- sample problems; chi-square distribution and test of significance; ANOVA. Prerequisite: two years of high school algebra within the last three years, or placement test, or MTH 1040. |

MTH 2510 Calculus with Analytic Geometry I | 5 cr. | Topics include a study of limits, continuity, derivatives of algebraic and transcendental functions, applications of derivatives, integrals, and the Fundamental Theorem of Calculus. Prerequisite: MTH 1210 or departmental approval. Computer Science majors must complete this course with a grade of C (2.0) or better within the first 20 semester hours of their major. |

MTH 2520 Calculus with Analytic Geometry II | 4 cr. | Derivatives and integrals of transcendental functions, techniques of integration, improper integrals, L'Hopital's Rule, sequences, series, convergence, divergence, power series, Taylor and Maclaurin Series, differentiation and integration of power series. Prerequisite: C or better in MTH 201 |

MTH 3300 Modern Algebra | 3 cr. | Topics include groups, subgroups, isomorphism, cosets and Lagrange's Theorem, group homomorphisms, rings, and integral domains. Prerequisite: MTH 2520. |

MTH 3410 Linear Algebra | 3 cr. | Use of multiple representations of linearity, solution of systems of linear equations, organizing data using matrices, performing matrix operations, using determinants, study of algebraic and geometric structures of vector spaces, recognizing subspaces and spanning sets, finding eigenvectors and eigenvalues, using technology to explore ideas, developing logical proofs, and applying concepts to real-life situations. Prerequisite: MTH 2520. |

MTH 4650 Foundations of College Geometry | 3 cr. | To broaden the understanding of Euclidean geometry; study finite geometries, geometric transformations and non-Euclidean geometries; write geometric proofs; apply geometric concepts to real world situations; and explore geometric concepts and relationships using interactive software. Prerequisite: MTH 2520. |

Mathematics Minor - Support |
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## Support Course (3 cr. to be chosen) |
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CSC 2080 Computer Science I | 3 cr. | An introductory course in the field of computer science. Topics include fundamentals of computation and algorithmic problem solving, data types, procedures, control structures, arrays, and applications. Recommended as the first computer science course taken by students in mathematics and science, as well as by those wishing to concentrate in computer science. |

Mathematics Major - Support: Bach Sci |
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## Support Course (3 cr. to be chosen) |
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CSC 2080 Computer Science I | 3 cr. | An introductory course in the field of computer science. Topics include fundamentals of computation and algorithmic problem solving, data types, procedures, control structures, arrays, and applications. Recommended as the first computer science course taken by students in mathematics and science, as well as by those wishing to concentrate in computer science. |