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Course Criteria
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3.00 Credits
Prerequisite: Admission into the Honors Program with a grade of B or higher in MATH 1111 or permission of the instructor. This course is a three-credit-hour Honors course designed to provide academically talented and motivated students the opportunities to build and improve their critical and analytical thinking skills, problem-solving skills, written communication shills, collaborative learning skills, and conceptual understanding of some mathematical concepts. To prepare students for the study of calculus, physics, and engineering, extensive treatment is given to selected topics with special emphasis on algebraic and transcendental functions and their graphs, analytic trigonometry, analytic geometry, applications of trigonometry (with special attention to the Complex Plane and Polar Form for Complex Numbers, DeMoivre's Theorem, the nth Roots of Complex Numbers, Vectors in the Plane, and Dot Product), systems of linear and nonlinear equations (with special attention to large systems, matrix methods for square systems), Discrete Algebra (sequences and sums, arithmetic and geometric sequences, infinite series, the Binomial Theorem, Principle of Mathematical Induction), Limits and Continuity, and at least one project (discovery or otherwise). A graphics calculator is required.
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3.00 Credits
Prerequisite: MATH 1001, MATH 1111 or MATH 1113. This course will emphasize the understanding and use of the major concepts of number and operations. Topics include problem-solving strategies; inductive and deductive reasoning; numeration systems and place value; operations and algorithms; identity elements and inverse operations; rational and irrational numbers; integers and number theory; special sets of numbers; exponents and decimals; ratios, percents, and proportional reasoning.
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3.00 Credits
Prerequisite: MATH 1111 or MATH 1113 with a grade of "C" or better.Surveys differential and integral calculus of polynomial, rational, exponential and logarithmic functions. Detailed applications to problems and concepts from business, economics and life science are covered. (F,S,M)
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3.00 Credits
Prerequisite: MATH 1001, MATH 1111 or MATH 1113. Surveys descriptive and inferential statistics. Topics include organizing and graphing data, measures of central tendency, dispersion, probability, normal distribution, sampling, confidence intervals, hypothesis tests, significance tests, correlation and regression. (F,S,M)
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4.00 Credits
Prerequisite: MATH 1113. Includes topics limits and continuity, derivatives and their applications and an introduction to the concept of the integral. The first in a four course sequence in Calculus. (F,S)
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4.00 Credits
Prerequisite: MATH 2253. Emphasizes the definite integral and its applications, the calculus of trigonometric, exponential, logarithmic, hyperbolic and inverse functions, techniques of integration, improper integrals, L'Hospital's Rule, infinite series and conic sections. Thesecond course in the Calculus sequence. (S,M)
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4.00 Credits
Prerequisite: MATH 2254. Emphasizes calculus in three dimensions. Topics include vectors, parametric equations, partial derivatives, multiple integrals and their applications and topics in vector calculus. The third course in the Calculus sequence. (F)
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3.00 Credits
Prerequisite: MATH 2253 with a co-requisite of MATH 2254. Introduces low-dimensional linear algebra through eigenvalues and eigenvectors. Applications to linear systems, least-square problems, and the calculus, including elementary differential equations. (S)
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4.00 Credits
Prerequisite: MATH 2254 and MATH 2256. A study of differential equations, including first and higher order equations, linear and nonlinear systems of equations, numerical methods to approximate solutions, using Laplace transforms to determine solutions, and methods that yield infinite series solutions.
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4.00 Credits
Prerequisite: MATH 2403. Explores topics in linear algebra, induction, combinatorics, difference equations, and multivariate optimization with an emphasis on discrete and recursive methods.
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