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Course Criteria
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4.00 Credits
This course focuses on the conceptual under-standing of basic mathematics topics through student exploration and investigation. Topics covered will include: the fundamental opera-tion of arithmetic, number theory, functions, proportional reasoning, data analysis, geome-try, measurement, and historical perspectives. Oral and written communication will be em-phasized. (every semester) Prerequisite: MATH 002 or equivalent
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3.00 Credits
This introductory course covers descriptive statistics and most of the fundamental con-cepts of inferential statistics. Topics include populations, random samples, measures of central tendency and variability, probability, binomial and normal distributions, standard scores, confidence intervals, hypothesis test-ing, student's ?t,? CHI square, analysis of va-riance, linear regression, and correlation. (every semester) Prerequisite: MATH 002 or equivalent
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4.00 Credits
This course aims to develop the idea of a function and its graph. Using linear functions, quadratic functions, general polynomials, ra-tional functions, and logarithmic and expo-nential functions, the course will cover topics such as but not limited to domain and range, increasing and decreasing, concavity, inter-cepts and zeros, and maxima and minima. This course will model situations in natural and social sciences and business with appro-priate functions. (every semester) Prerequisite: MATH 002 or equivalent
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4.00 Credits
This course aims to help the student develop an appreciation for mathematics and provides a preparation for calculus. Topics include the real number system, basic concepts of algebra and analytic geometry, equations of the first and second degree and their graphs, algebraic, logarithmic, trigonometric and exponential functions and their applications. (every seme-ster) Prerequisite: MATH 160 or equivalent
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3.00 Credits
This course, designed for business majors, will continue the material in College Algebra by using techniques of calculus; techniques of differentiation and integration will be intro-duced. Students will use these techniques in solving application problems such as optimi-zation, related rates, and accumulation. (every semester) Prerequisite: MATH 160 or equivalent
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3.00 Credits
Introduction to differential and integral calcu-lus (variables and functions, limits, continuity, derivatives, differentiation of algebraic func-tions, integration, integration by parts, plane areas by integration, volumes of solids of rev-olution, Taylor and McLaurin's series, partial derivatives). Introduction to Probability and Statistics (tabular and graphical representa-tions of data, sample mean and variance, ran-dom experiments and outcomes, probability, permutations and combinations, random va-riables, discrete and continuous distributions, mean and variance of distributions, binomial, Poisson, normal distribution, random sam-pling, estimation of parameters, confidence intervals, testing of hypotheses, goodness of fit, pairs of measurements, and regression). Prerequisite: MATH 160 or equivalent
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3.00 Credits
Introduction to discrete mathematics for In-formation Systems (logic, formal languages, automata, recursive function theory, and algo-rithm analysis). Introduction to the mathemat-ics of Information Security and Cryptography (large number theory, lattices, Euclidian and Extended Euclidian algorithms, the birthday problem, primes, congruencies, Euler's theo-rem and consequences, and exponential me-thods of factoring algorithms). Prerequisite: MATH 215
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3.00 Credits
This course deals with the historical evolution of geometric concepts and Euclidean geome-tries. This course will also introduce an axi-omatic system; students will learn to read and write proofs using this system of axioms and postulates. Topics include inductive and de-ductive reasoning, symmetry, tessellations, congruence, similarity, and coordinate and transformational geometry. (spring) Prerequisite: MATH 114 or MATH 160 or equivalent
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3.00 Credits
This course provides an introduction to the concepts of set theory, directed graphs, com-binatorics, logic and proof, Boolean algebra, recurrence relations, automata theory and formal languages, equivalence relations and partial orderings. (every semester) Prerequisite: MATH 161 or permission of in-structor
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3.00 Credits
An introduction to linear algebra and matrix theory and some of its significant applications, this course may run concurrently with Calcu-lus. Topics include: linear equations and ma-trices, determinants, vectors and vector spac-es, linear transformations, eigenvalues and eigenvectors, and applications. (spring) Prerequisite: MATH 161 or permission of in-structor
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