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  • MTH U115: Mathematical Thinking

    4.00 Credits
    Northeastern University

    Retired August 31, 2007; replaced with MTH U115 in the College of Arts and Sciences. Covers linear equations and inequalities, systems of equations, matrices and linear programming (geometric and simplex methods), Markov chains, set and set operations, tree diagrams, combinations and permutations, elementary probability, and statistics.
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  • MTH U116: Recitation for MTH U115

    0.00 Credits
    Northeastern University

    Provides small-group discussion format to cover material in MTH U115.
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  • MTH U117: Interactive Mathematics

    4.00 Credits
    Northeastern University

    Develops problem-solving skills while simultaneously teaching mathematics concepts. Each unit centers on a particular applied problem, which serves to introduce the relevant mathematical topics. These may include but are not limited to polling theory, rate of change, the concepts behind derivatives, probability, binomial distributions, and statistics. The course is not taught in the traditional lecture format and is particularly suited to students who work well in collaborative groups and who enjoy writing about the concepts they are learning. Assessment is based on portfolios, written projects, solutions to "problems of the week," and exams.
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  • MTH U121: Precalculus

    4.00 Credits
    Northeastern University

    Focuses on linear, polynomial, exponential, logarithmic, and trigonometric functions. Emphasis is placed on understanding, manipulating, and graphing these basic functions, their inverses and compositions, and using them to model real-world situations (that is, exponential growth and decay, periodic phenomena). Equations involving these functions are solved using appropriate techniques. Special consideration is given to choosing reasonable functions to fit numerical data.
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  • MTH U130: College Math for Business and Economics

    4.00 Credits
    Northeastern University

    Retired August 31, 2007; replaced with MTH U130 in the College of Arts and Sciences. Introduces students to some of the important mathematical concepts and tools (such as modeling revenue, cost and profit with functions) used to solve problems in business and economics. Assumes familiarity with the basic properties of linear, polynomial, exponential, and logarithmic functions. Topics include the method of least squares, regression curves, solving equations involving functions, compound interest, amortization, and other consumer finance models. (Graphing calculator required, see instructor for make and model.)
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  • MTH U131: Calculus for Business and Economics

    4.00 Credits
    Northeastern University

    Provides an overview of differential calculus including derivatives of power, exponential, logarithmic, logistic functions, and functions built from these. Derivatives are used to model rates of change, to estimate change, to optimize functions, and in marginal analysis. The integral calculus is applied to accumulation functions and future value. Emphasis is on realistic business and economics problems, the development of mathematical models from raw business data, and the translation of mathematical results into verbal expression appropriate for the business setting. Also features a semester-long marketing project in which students gather raw data, model it, and use calculus to make business decisions; each student is responsible for a ten-minute presentation. (Graphing calculator required, see instructor for make and model.)
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  • MTH U141: Calculus

    4.00 Credits
    Northeastern University

    Serves as both the first half of a two-semester calculus sequence and as a self-contained one- semester course in differential and integral calculus. Basic concepts and techniques of differentiation and integration are introduced and applied to polynomial, exponential, log, and trigonometric functions. The derivative as rate of change and integral as accumulator are emphasized. Applications include optimization, growth and decay, area, volume, and motion.
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  • MTH U142: Calculus

    4.00 Credits
    Northeastern University

    Introduces additional techniques of integration and numerical approximations of integrals and the use of integral tables; further applications of integrals. Also introduces differential equations and slope fields, and elementary solutions. Introduces functions of several variables, partial derivatives, and multiple integrals
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  • MTH U151: Calculus and Differential Equations for Biology

    4.00 Credits
    Northeastern University

    Begins with the fundamentals of differential calculus and proceeds to the specific type of differential equation problems encountered in biological research. Presents methods for the solutions of these equations and how the exact solutions are obtained from actual laboratory data. Topics include differential calculus: basics, the derivative, the rules of differentiation, curve plotting, exponentials and logarithms, and trigonometric functions; using technology to understand derivatives; biological kinetics: zero- and first-order processes, processes tending toward equilibrium, bi- and tri-exponential processes, and biological half-life; differential equations: particular and general solutions to homogeneous and nonhomogeneous linear equations with constant coefficients, systems of two linear differential equations; compartmental problems: nonzero initial concentration, two-compartment series dilution, diffusion between compartments, population dynamics; and introduction to integration.
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  • MTH U152: Calculus and Differential Equations for Biology

    4.00 Credits
    Northeastern University

    Continues MTH U151. Begins with the integral calculus and proceeds quickly to more advanced topics in differential equations. Introduces linear algebra and uses matrix methods to analyze functions of several variables and to solve larger systems of differential equations. Advanced topics in reaction kinetics are covered. The integral and differential calculus of functions of several variables is followed by the study of numerical methods in integration and solutions of differential equations. Provides a short introduction to probability. Covers Taylor polynomials and infinite series. Special topics include reaction kinetics: Michaelis-Menten processes, tracer experiments, and inflow and outflow through membranes.
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