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Course Criteria
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3.00 Credits
A study of properties and relationships of shape, size, and symmetry in two and three dimensions; explorations of concepts of motion in two and three dimensions through transformations. Open only to students in early childhood, elementary, middle grades, or special education. Prerequisite: Grade of C or better in MATH U231 or higher; or consent of instructor.
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4.00 Credits
Vectors and geometry of space, vector functions, partial derivatives, multiple integration, vector calculus and second order differential equations. Prerequisite: Grade of C or better in MATH U142 or its equivalent; or consent of instructor.
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3.00 Credits
Ordinary differential equations of first order, higher order linear equations, Laplace transform methods, series methods; numerical solutions of differential equations; applications to the physical sciences and engineering. Prerequisite: MATH U241.
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3.00 Credits
Programming language and techniques designed specifically for programs that rely on the application of mathematics for solution. Topics include variables, assignment statements, expressions, vectors and matrices, MATLAB scripts, input and output, selection statements, flow control, program organization, M-files, optimizing M-files, string manipulations, data structures, advanced functions, plotting, symbolic math toolboxes, variable precision arithmetic, and tricks and tips in MATLAB programming. Prerequisite: MATH U141 or consent of instructor.
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3.00 Credits
Review of descriptive statistics, testing statistical hypothesis, introduction to correlation, regression and linear regression models, model building, variable selection and model diagnostics. Prerequisite: MATH U102, or MATH U141, or ECON U291, or SOCY U201, or PSYC U225, or consent of instructor.
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3.00 Credits
Graphs of functions as models, modeling using proportionality and geometric similarity, model fitting and models requiring optimization, experimental modeling, modeling using the derivative and interactive dynamic systems. Prerequisite: MATH U141.
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3.00 Credits
Topics in set theory, logic, elementary application of logic, methods of mathematical proofs, equivalence relations and partial orderings, functions and mappings, and number systems. Prerequisite: MATH U142.
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3.00 Credits
Matrices, systems of linear equations, vectors, Euclidean vector spaces, linear transformations, eigenvalues and eigenvectors. Prerequisite: MATH U142 or consent of instructor.
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3.00 Credits
Basic linear Partial Differential Equations (PDEs) of hyperbolic, parabolic, and elliptic types used in mathematical modeling of physical, chemical, biological and other phenomena, systems, technical devices and financial markets. Selected topics such as the boundary value and initial value problems are covered. Prerequisite: Grade of C or better in MATH U245; or consent of instructor.
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3.00 Credits
Group theory and introduction to rings. Topics include abelian groups, cyclic groups, permutations, group homomorphisms and isomorphisms, Cayley's theorem, normal subgroups, quotient groups, Lagrange's theorem. Prerequisite: MATH U340 or consent of instructor.
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