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  • Mathematics 135: Elementary School Mathematics

    4.00 Credits
    Allegheny College

    An examination from a college perspective of mathematical topics related to the elementary school curriculum with an emphasis on development of problem-solving strategies. Mathematical concepts, their history, and their connections to the real world are studied. The course is intended for students who are seeking certification for elementary school teaching. Prerequisite: Permission of the instructor.
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  • Mathematics 157: Calculus I for Social/Life Sciences

    4.00 Credits
    Allegheny College

    An introduction to the differential calculus of algebraic, logarithmic, and exponential functions. The emphasis is on the concept of the derivative and applications of calculus to the life and social sciences. Precalculus topics are covered as needed. May not be taken for credit if credit for any calculus course has already been received. Does not count toward a major or minor in mathematics.
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  • Mathematics 158: Calculus II for Social/Life Sciences

    4.00 Credits
    Allegheny College

    A continuation of the study of differential calculus begun in Math 157 and an introduction to integral calculus and the multivariate calculus involving algebraic, logarithmic, and exponential functions. In addition to further applications of the derivative, the concepts of the integral of a function of one variable and differentiation of multivariable functions are applied to the life and social sciences. Precalculus topics are covered as needed. May not be taken for credit if credit has been received for Math 156 or Math 160. Does not prepare students for Math 170, and does not count toward a major or minor in mathematics. Prerequisite: Math 157.
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  • Mathematics 159: Precalculus

    4.00 Credits
    Allegheny College

    A study of the mathematical concepts which are a prerequisite to the study of calculus: functions, domains, ranges, graphs, equations, and inequalities. Specific functions include algebraic, exponential, logarithmic, and trigonometric functions. The purpose is only to prepare students to take Math 160, Calculus I. May not be taken for credit if credit for any calculus course has already been received. Does not count toward a major or minor in mathematics or toward distribution in the natural science division. Prerequisite: Permission of instructor is required.
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  • Mathematics 170: Calculus II

    4.00 Credits
    Allegheny College

    A study of the applications of the definite integral; logarithmic, exponential, and trigonometric functions; techniques of integration; sequences and series; and indeterminate forms. Students completing Mathematics 170 with less than a "C" grade must request permission of the instructor to enroll in subsequent courses in Mathematics. Prerequisite: Placement in the course based on consultation with the department chair or the completion of Mathematics 160 with the grade of "C" or better. Four 50-minute lectures per wee
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  • Mathematics 205: Foundations of Mathematics

    4.00 Credits
    Allegheny College

    An introduction to concepts encountered in the study of abstract mathematics. Topics covered include logic, mathematical proofs, set theory, relations, functions, mathematical induction, and introductory number theory. The concepts of injectivity, surjectivity, and inverses are discussed as well as elementary computational tools such as the Division Algorithm and Euclid's algorithm for the greatest common divisor. Additional topics may include cardinality, combinatorics, graph theory, algebraic structure, the real number system, and concepts of mathematical analysis. It is recommended that a major complete this course before the end of the sophomore year. Prerequisite: Completion of Mathematics 160 with a grade of "C" or better and sophomore standing, or permission of instructor
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  • Mathematics 210: Calculus III:Multivariate Calculus

    4.00 Credits
    Allegheny College

    A study of two- and three-dimensional vectors, vector-valued functions, continuity and differentiation of functions of several variables, multiple integration, and line integrals. Prerequisite: Placement in the course based on consultation with the department chair or the completion of Mathematics 170 with a grade of "C" or better. Four 50-minute lectures per week.
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  • Mathematics 220: The History of Mathematics

    4.00 Credits
    Allegheny College

    A survey of the progress of mathematics from ancient to modern times. Attention is given to the philosophy of mathematics and to the bearing of mathematics on other branches of knowledge. Prerequisite: Mathematics 210 or permission of instructor.
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  • Mathematics 270: Mathematical Modeling

    4.00 Credits
    Allegheny College

    An examination of techniques for applying mathematical methods to real world problems. Emphasis is on analyzing the problem, constructing a suitable mathematical model, analyzing the model, transforming it into a form suitable for computation, and verifying the results. Applications are chosen from several different areas. Prerequisite: Mathematics 170 or permission of instructor.
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  • Mathematics 290: Ordinary Differential Equations

    4.00 Credits
    Allegheny College

    An examination of methods of solving ordinary differential equations with emphasis on the existence and uniqueness of solutions of first order equations and second order linear equations. Topics may include Laplace transforms, systems of linear differential equations, power series solutions, successive approximations, linear differential equations, and oscillation theory with applications to chemistry and physics. Prerequisite: Mathematics 210.
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