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Mathematics (MATH) 1 Mathematics (MATH) 1 MATH 116Q. Introduction to Cryptology. 1 Unit. Mathematics (MATH) This course gives a historical overview of Cryptology and the mathematics behind it. Cryptology is the science of making (and Courses breaking) secret codes. From the oldest recorded codes (taken from hieroglyphic engravings) to the modern encryption schemes necessary MATH 104Q. Introduction to Logic. 1 Unit. to secure information in a global community, Cryptology has become An introduction to the informal and formal principles, techniques, an intrinsic part of our culture. This course will examine not only the and skills that are necessary for distinguishing correct from incorrect mathematics behind Cryptology, but its cultural and historical impact. reasoning. Offered each semester. Cross-listed as PHIL 104Q. Topics will include: matrix methods for securing data, substitutional MATH 110Q. Elementary Mathematics. 1 Unit. ciphers, transpositional codes, Vigenere ciphers, Data Encryption Elementary mathematics is a content course, not a course in methods Standard (DES), and public key encryption. The mathematics of teaching. The Elementary Mathematics course will explore the encountered as a consequence of the Cryptology schemes studied development of the number system, properties of and operations with will include matrix algebra, modular arithmetic, permutations, statistics, rational numbers; ratio; proportion; percentages; an introduction to real probability theory, and elementary number theory. Offered annually, numbers; elementary algebra; informal geometry and measurement; either fall or spring semester. and introduces probability and descriptive statistics. Offered annually, MATH 122Q. Calculus for Business Decisions. 1 Unit. either fall or spring semester. This course covers tools necessary to apply the science of decision- MATH 111Q. Finite Mathematics. 1 Unit. making in the business environment. Students working in teams A survey of some important areas of modern, applicable mathematics. give oral and written presentations on key projects taken from real Topics will include a selection from the following: matrices and linear world business problems. Quantitative reasoning topics include the systems, linear programming, probability, Markov Chains, financial following: Graphing Functions; Demand, Revenue, Cost and Profit; mathematics, graph theory, voting systems and apportionment, Trend Lines, Differentiation; Optimization; and Integration. Students and statistics. Offered each semester. Offered every fall or spring integrate the use of technology with excel spreadsheets, power point semester. presentations, and software packages. Prerequisites: Math Placement Testing required for entry. Offered every fall or spring semester. MATH 112Q. Mathematical Game Theory. 1 Unit. An introduction to the mathematics of competitive decision making, MATH 125Q. Introduction to Mathematical and Statistical including games of strategy, games of chance, and classical zero- Modeling. 1 Unit. sum game theory. Topics include game trees, backward induction, An introduction to some mathematical techniques used to explore, base two arithmetic, Nim values of combinatorial games, probability, model and analyze phenomena in the sciences. Topics include expected value, matrices, domination, and mixed and pure strategies, probability, descriptive and inferential statistics, hypothesis testing, and graphical and oddment solutions to zero-sum games. Offered regression, and linear systems. Offered every fall or spring semester. based on student demand. MATH 130. Calculus I with Review Part I. 1 Unit. MATH 113Q. Chaos and Fractals in Nature. 1 Unit. This course is designed for students who enter Stetson with insufficient This course will investigate chaotic behavior in physical systems, and pre-calculus background for the standard calculus sequence. The use mathematics to describe that behavior. Some of the first evidence combination of MATH 130 and MATH 131Q covers the same calculus of chaotic behavior in nature came from a study of a mathematical material as MATH 141Q, including limits, continuity, differentiation, model of the earth's climate. Since then, it has been discovered that and applications of derivatives, and includes a review of pre-calculus chaotic behavior occurs in many physical systems, including chemical material including trigonometry, with an emphasis on applications in and biological systems. Fractals have turned out to be a very valuable the sciences. Must be taken in combination with MATH 131Q for Q way to describe chaotic systems geometrically. Offered based on credit. Math Placement Testing required for entry. Offered every fall or student demand. spring semester. MATH 114Q. Elementary Graph Theory. 1 Unit. MATH 131Q. Calculus I with Review Part 2. 1 Unit. A gentle introduction to graph theory and discrete math, with emphasis Designed for students who enter Stetson with insufficient pre-calculus on understanding the major results, and using them to do applications background for the standard calculus sequence. The combination from various fields. Topics include connectivity, planarity, adjacency of MATH 130 and MATH 131Q covers the same calculus material matrices, Eulerian and Hamiltonian graphs, trees, isomorphism, as MATH 141Q, including limits, continuity, differentiation, and duality, coloring problems, directed graphs, matching problems, and applications of derivatives, anti-differentiation, the definite integral network flows. Offered annually, either fall or spring semester. and the Fundamental Theorem of Calculus, and includes a review of pre-calculus material including trigonometry, with an emphasis on MATH 115Q. Great Ideas in Mathematics. 1 Unit. applications in the sciences. Prerequisite: MATH 130. Offered every A survey of mathematics from the Ancient Greeks to the modern day fall or spring semester. through looking at its great ideas and theorems. Topics vary, but may include the Pythagorean Theorem and Euclidean geometry, number MATH 141Q. Calculus I with Analytic Geometry. 1 Unit. theory, Cardano's solution of the cubic, Newton's discovery of the A first calculus course designed for majors in mathematics and the calculus, mathematical modeling, abstraction and proof, and probability sciences. Topics include limits, continuity, differentiation, applications and statistics. Offered every spring semester. of derivatives, the definite integral, and the Fundamental Theorem of Calculus. Math Placement Testing required for entry. Offered every fall or spring semester. 2 Mathematics (MATH) MATH 142Q. Calculus II with Analytic Geometry. 1 Unit. MATH 301. Number Theory. 1 Unit. A continuation of MATH 141Q. Topics include techniques of This course studies elementary properties of integers, including integration, applications of integration, differential equations, divisibility, factorization, and primality. Topics include congruencies, sequences and series, power series, and Taylor’s Theorem. the Chinese Remainder Theorem, Diophantine equations, divisibility Prerequisite: MATH 141Q or MATH 131Q. Offered every fall or spring tests, theorems of Fermat, Wilson, and Euler, residue classes, semester. quadratic reciprocity, multiplicative functions, and applications to MATH 151. Mathematics for Life Sciences. 1 Unit. cryptography. Prerequisite: MATH 221Q. Offered based on student This course provides and introduction to a variety of mathematical demand. topics of use in analyzing problems arising in biological sciences. It MATH 312. Advanced Linear Algebra. 1 Unit. is designed for students in biology, agriculture, forestry, wildlife, pre- A continuation of MATH 211Q, this course is an axiomatic theory of medicine and other pre-health professions. It is designed to provide an vector spaces. Topics include general vector spaces, inner product overview rather than a detailed introduction to any particular topic. The spaces, linear mappings, the Rank-Nullity Theorem, representations general aim of the course is to show how mathematical and analytical of mappings, dual spaces, and diagonalization. Prerequisites: tools may be used to explore and explain a wide variety of biological MATH 211Q and MATH 221Q. Offered every two years. phenomena that are not easily understood with verbal reasoning MATH 321. Ordinary Differential Equations. 1 Unit. alone. The mathematical models will be used to illustrate answers to An introduction to the study of equations involving derivatives. Topics biological problems. Prerequisite: Math Placement Testing required for include first and second order differential equations, existence entry. and uniqueness of solutions, separation of variables, variation of MATH 190. Special Topics in Mathematics. 1 Unit. parameters, linear and non-linear systems, solution by generalized This is an introductory-level course with varied content designed by eigenvectors, phase portraits, linearization, numerical methods, faculty to delve into topics that are not typically taught in existing potential functions, gradient systems, limit cycles and chaotic systems, courses. The sophistication and rigor of the content is consistent with and mathematical modeling with differential equations. Prerequisites: courses that are offered in the first year of study in the department. MATH 211Q and MATH 243Q. Offered annually, either fall or spring MATH 211Q. Linear Algebra. 1 Unit. semester. An introduction to the theory and applications of linear systems MATH 331. Combinatorics and Graph Theory. 1 Unit. and vector spaces. Topics include matrix
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