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  • MTH 1111L: Excel for Statistical Concepts

    1.00 Credits
    Notre Dame de Namur University

    Corequisite: Concurrent enrollment in MTH1111 or instructor's permission Offers hands-on learning of Excel procedures for solving basic statistical problems. Topics are compatible with MTH1111 content: experimental design, mean, median, and mode, standard deviation, correlation and regression analysis, and an introduction to hypothesis testing.
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  • MTH 1214: College Algebra

    3.00 Credits
    Notre Dame de Namur University

    Prerequisite: Math Placement Level 2 or MTH1012 or equivalent with a grade of C or higher Includes a brief review of intermediate algebra: sets of real numbers, intervals, absolute value, quadratic equations, and inequalities. College algebra topics include: functions and their inverses, techniques of graphing functions, linear and quadratic functions, polynomial and rational functions, min-max problems, exponential and logarithmic functions, properties of logarithms, and exponential growth and decay. Emphasis is placed on developing conceptual understanding and problem-solving skills.
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  • MTH 1215: Trigonometry and Analytic Geometry

    4.00 Credits
    Notre Dame de Namur University

    Prerequisite: Math Placement Level 3 or MTH1214 or equivalent with grade of C or higher. Covers trigonometric functions of angles and real numbers, graphs of trigonometric functions, trigonometric equations and inequalities, inverse trigonometric functions, the law of sines and cosines, conic sections in Cartesian coordinates (parabola, ellipse, and hyperbola), vectors in the plane, polar coordinates, and complex numbers. Additional precalculus topics if time permits include systems of equations, division of polynomials, and remainder and factor theorems for polynomials.
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  • MTH 1216: Pre-Calculus with Trigonometry

    4.00 Credits
    Notre Dame de Namur University

    Prerequisites: Math Placement Level 3 or MTH1214 or equivalent with grade of C or higher. Covers functions, exponentials, logarithms, trigonometric functions of angles and real numbers, graphs of trigonometric functions, trigonometric equations and inequalities, inverse trigonometric functions, the law of sines and cosines, basic analytic geometry, conic sections, vectors in the plane, polar coordinates, systems of equations, binomial theorem. Additional topics if time permits: remainder and factor theorems for polynomials, division of polynomials, mathematical induction, sequences and series, complex numbers.
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  • MTH 1320: Calculus I

    4.00 Credits
    Notre Dame de Namur University

    Prerequisites: Math Placement Level 4 or MTH1216 or equivalent with a grade of C or higher Functions, limits, continuity, rates of change, derivatives and their applications, the mean value theorem, curve sketching, min-max problems, antiderivatives, finite sums and sigma notation, double and triple finite sums, and arithmetic and geometric series and sums are studied. The course also includes sequences and limits of sequences, definite integrals, the fundamental theorem of calculus, and integration by substitution. Intended for students with a strong precalculus background.
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  • MTH 1321: Calculus II

    4.00 Credits
    Notre Dame de Namur University

    Prerequisites: MTH1320 or equivalent with a grade of C or higher Covers applications of definite integrals, areas and volumes, derivatives and integrals of transcendental functions, techniques of integration, and improper integrals. The course also includes more on sequences and limits of sequences, overview of simple, double, and triple finite sums, arithmetic and geometric series, induction method, infinite series, series of functions, power series, and Taylor and Maclaurin series.
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  • MTH 1322: Applied Calculus

    4.00 Credits
    Notre Dame de Namur University

    Prerequisites: Math Placement Level 3 or MTH1214 or equivalent with grade of C or higher This course is designed for students in social or life sciences or business. Covers basic notions of derivative and integral, along with standard techniques of differentiation and integration with a focus on application rather than theory and rigor.
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  • MTH 1330: Calculus III

    4.00 Credits
    Notre Dame de Namur University

    Prerequisites: MTH1321 or equivalent with a grade of C or higher (PHY1304, PHY1306 recommended) Covers parameterized curves and polar coordinates, vectors and 3-D analytic geometry, cylindrical and spherical coordinates, and topics in functions of two or more variables, including continuity, differentiability, partial derivatives, directional derivatives, gradient vectors, tangent planes, min-max and saddle points, and Lagrange multipliers. Double and triple integrals in various systems of coordinates and substitutions in multiple integrals are included.
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  • MTH 2419: Discrete Mathematics

    4.00 Credits
    Notre Dame de Namur University

    Prerequisites: MTH1320 or MTH1322 with a grade of C or higher or permission of instructor (MTH1321 is recommended) Covers logic and propositional calculus, sets, functions, sequences and summations, complexity of algorithms and big-O notation, methods of proof, matrices, induction, arithmetic and geometric progressions, recursion, program correctness, basic combinatorics, recurrence relations and algorithms, divide-and-conquer, inclusion-exclusion, relations, representing relations, equivalence relations and classes, boolean algebra, introduction to graphs and trees, and tree traversals.
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  • MTH 2450: Linear Algebra

    4.00 Credits
    Notre Dame de Namur University

    Prerequisites: MTH1321, MTH2419 with grades of C or higher or permission of instructor (MTH1330 is recommended) Studies linear systems of equations, matrices, determinants, and techniques of inverting matrices. Topics include finite dimensional vector spaces, linear independence, basis and dimension, change of basis, orthonormal bases and the Gram-Schmidt process, linear transformations and matrices, kernel and range, eigenvalues and eigenvectors, diagonalization, and the Jordan canonical form. Applications of Linear Algebra are also studied.
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