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Course Criteria
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4.00 Credits
4 hours Inverse trigonometric functions, hyperbolic functions, techniques of integration, I'Hopital's rule, improper integrals, applications of the integral, sequences and series, polar coordinates and vectors. Prerequisite: MA 171.
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3.00 Credits
3 hours An introduction to differential and integral calculus with applications to problems in the life sciences, business, economics and the social sciences. Does not apply toward a mathematics major or minor. Prerequisite: MA 122 or MA 123or equivalent.
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3.00 Credits
3 hours An informal summary of elementary Euclidean geometry, a formal modern development of the basic concepts of elementary geometry, noneuclidean geometry, and a selection of topics in advanced Euclidean geometry. Offered spring semester of even years. Prerequisite: MA 121.
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4.00 Credits
4 hour Vector-valued functions, partial differentiation, directional derivative, gradient, tangent plane, extreme values and Lagrange multipliers, iterated integrals, double integrals, vector fields, line and surface integrals, curl and divergence. Prerequisite: MA 172.
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3.00 Credits
3 hours This course is designed to expose the mathematics major to the working environment of industry and to give the student an opportunity to apply knowledge of mathematics to solve problems in the physical, biological, and social sciences. Offered as needed. Prerequisite: MA 172.
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3.00 Credits
3 hours Systems of linear equations, matrices, matrix operations, determinants, vectors and vector spaces, bases, inner product, linear transformations, change of basis, eigenvalues and eigenvectors, diagonalization, and applications. Prerequisite: MA 172 or consent of instructor.
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3.00 Credits
3 hour First-order differential equations, linear differential equations with variable and constant coefficients, systems of linear differential equations, Laplace transform methods, series solutions, boundary value problems, and applications. Prerequisite: MA 172 or consent of instructor.
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3.00 Credits
3 hours Numerical methods as they apply to computers. Topics include roots of equations, linear and non-linear simultaneous equations, polynomials, numerical integration, ordinary differential equations, interpolation and curve-fitting. Prerequisite: MA 172.
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3.00 Credits
3 hours Descriptive statistics, elementary probability, sampling distributions, inference, testing hypotheses and estimation, regression and correlation, and applications. Prerequisite: MA 172.
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3.00 Credits
3-3 hours Vector Calculus: vectors and curves, functions of several variables, limits and continuity, vector functions of a vector, differentiability and the Jacobian matrix, transformations, multiple integrals, line and surface integrals. Theory of Convergence: infinite series, sequence and series of functions, improper integrals and integral representations of functions. Prerequisite: MA 308 and MA 311.
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