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Course Criteria
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3.00 Credits
(TBR: MATH 1410-1420) Algorithms for four basic operations, systems of whole numbers and integers. Relations and functions. Greatest common factor and least common multiple. Fractions, decimals, percent, ratio and proportion. Statistics and probability. Metric system, measurement, area, volume, informal plane and solid geometry. These are manipulative and activity based courses. Courses must be taken in sequence. Prereq: MATH 140 or 185 or 251.
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3.00 Credits
Descriptive measures, elementary probability, sampling, random variables. Discrete probability distributions, normal probability distributions and introduction to inference theory._ Prereq: MATH 140, 185, or 251 or appropriate mathematics placement.
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4.00 Credits
(TBR: MATH 1910-1920) Limits and continuity. Derivatives and integrals of polynomial, exponential, logarithmic, trigonometric and hyperbolic functions. Techniques of integration, conics, parametric and polar equations, indeterminate forms and improper integrals. Infinite series, including Taylor's series. Must be taken in sequence. Prereq: Two units of high school algebra, one unit high school geometry, 1/2 unit high school trigonometry, and appropriate mathematics placement OR completion of MATH 185. A grade of C or better in MATH 251 is required to enroll in MATH 252.
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1.00 - 3.00 Credits
Lectures and/or lab work relating to specialized topics in mathematics. Course may be repeated with total credits not to exceed six ( 6) hours. May be offered on a Pass/Fail basis. Prereq: Departmental approval.
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3.00 Credits
Vectors, matrices, systems of linear equations, determinants, inverses of matrices, vector spaces, linear transformations, eigenvalues and eigenvectors._ Prereq: MATH 160 or 251 or 314.
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3.00 Credits
Proof techniques, sets, propositional calculus, functions, relations and properties of integers._ Prereq: MATH 140 or 160 or 185 or 210 or 251.
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4.00 Credits
Vector-valued functions, functions of several variables. Differentials, gradients and extremes. Multiple integrals, line and surface integrals. Prereq: A grade of C or better in MATH 252.
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3.00 Credits
Setting up and solving first order equations, applications of first order equations. Wronskians, use of operators and the exponential shift theorem, solutions of higher order equations with constant coefficients, systems of first order equations, solutions in series, Laplace transform methods._ Prereq: MATH 252.
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3.00 Credits
Formulation of numerical problems for solution on a digital computer. Error analysis and control, nonlinear equations, differentiation, integration, systems of equations, differential equations, curve fitting and eigenvalue problems. Prereq: CSCI 221 and MATH 252; CSCI 301 or MATH 310. ( Same as CSCI 340/540)
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3.00 Credits
The integers: well-ordering, different bases, divisibility, primes and factoring. The fundamental theorem of arithmetic and the division algorithm. Diophantine equations and applications of congruences. Pseudorandom numbers, pseudoprimes and cryptography. Prereq: MATH 314.
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