Science and Mathematics CoursesBiology
*BIO 1510 is a prerequisite to higher numbered biology courses except where noted. BIO 1300—Principles of Biology (4) An introduction to the biological sciences with a particular emphasis placed on concepts relevant to the health sciences. Biomolecules, cell structure and function, metabolism, cellular basis of reproduction, genetics, microbiology, animal morphology, and animal tissues and organ systems will be studied in detail. An introduction to evolution and ecology will also be included. Biology-related social and ethical issues encountered in the health professions will also be discussed. Lecture and lab. Fee charged. BIO 1510—General Biology I (4) An introduction to fundamental concepts in the biological sciences including the organization of living matter, cellular structure and function, food production by photosynthesis, energy harvest, mechanisms of cellular reproduction, genetics, and evolution. Discussions of current scientific issues will also be included. Lecture and lab. Fee charged. BIO 1520—General Biology II (4) A study of diverse structures and functions observed in a variety of prokaryotic and eukaryotic organisms, with emphasis placed on plants and vertebrates. The study of the Kingdom Plantae will include investigation of plant life cycles and reproductive strategies. Topics including respiration, digestion, and reproduction will be introduced in the study of vertebrate animals. An introduction to ecology and the impact of humans on a variety of organisms will also be included. Lecture and lab. Fee charged. BIO 2010—Anatomy-Physiology I (4) A study that includes the anatomy of the body as a whole. Emphasis will be on anatomical structures and organizational relationships of the organs and systems of the body. General physiology of each system and the major influence systems have on one another is emphasized. Laboratory studies include dissection of the cat and study of various skeletons, models, and charts. Emotional, psychomotor and physical well being are included in the cognitive aspect of this course. Prerequisite: BIO 1510. Lecture and lab. Fee charged BIO 2020—Anatomy-Physiology II (4) A study that includes some anatomy, especially histology and embryology, as necessary for understanding physiology. Emphasis will be on physiological processes of all body organs and systems. Emotional, psychomotor and physical well being are important cognitive aspects of physiology. Lecture and lab. Prerequisite: BIO 2010 or equivalent. Fee charged. BIO 2100—Principles of Cell Biology (3) A survey of cellular structure and function. Topics will include energy conversions, cell replication, vesicular formation and transport, membrane structure and function, cell motility, and cell communication. Lecture and lab. Prerequisite: BIO 1510–20. (Spring, even numbered years). BIO 2700—Nutrition (3) A study of how chemical principles and biochemical pathways create certain nutritional requirements for humans in various states of health and disease. Emphasis will be given to the needs of pregnancy, infancy, adolescence, sports conditioning, maturity and nutritional therapy in some disease states. The possible benefits of proper nutritional practices for our culture, wellness programs, and managed care will be discussed. The world-wide impact of hunger and disease and our responsibility for relief will be pursued. The laboratory will include various measurements and profiling of nutritional status on the individual students. CHE 1010 or CHE 1040 recommended. (Fall, odd numbered years). Fee charged. BIO 2820—Microbiology (4) A survey of microscopic organisms with emphasis on bacteria and fungi. Classification, morphology, cultivation, and identification will be studied in both lecture and lab. The role of these organisms in the ecosystem, industry, and disease will also be discussed. Lecture and lab. Prerequisite: BIO 1510. Fee charged. BIO 3000—General Ecology (3) A course that promotes a basic understanding of the ecosystem as a whole. The study will include interactions of ecosystem constituents (both community and population), their contributions and/or detriments to the ecosystem, biogeochemical cycles, and energy flow through ecosystems. Aquatic and terrestrial habitats will be studied both in lecture and in laboratory field trips. Prerequisite: BIO 1510-20 and CHE 1010-20 or CHE 1040-50 or equivalents. (Spring, odd numbered years). Fee charged. BIO 3010—Histology (3) A study of mammalian tissue and microscopic identification of cells, tissues and organs. Lecture and lab. Prerequisite: BIO 1510-20 or equivalent. (Fall, odd numbered years). Fee charged. BIO 3510—Biochemistry I (4) First course in a comprehensive biochemistry sequence. Topics of study will include the structure and function of proteins, carbohydrates and lipids; enzyme mechanics; the kinetics and regulation of biological reactions; and the principles of bioenergetics. Lecture and lab. Prerequisite: CHE 2010 or equivalent. (Fall, odd numbered years). Fee charged. Cross listed as CHE 3510. BIO 3520—Biochemistry II (4) A study of metabolic pathways and their regulation; nucleic acid structure, function and processing; regulation of gene expression; and current technologies used to study and combat diseases resulting from deficiencies in normal biochemical processes. Lecture and lab. Prerequisite: BIO 3510/CHE 3510. (Spring, even numbered years). Fee charged. Cross listed as CHE 3520. BIO 3620—Immunology (3) A study of the human immune system. The structure, physiology, and basic immunity principles will be discussed. Modern research and theories will be incorporated into the lecture. Basic immunological laboratory tests and procedures will be the focus of the lab. Lecture and lab. Prerequisite: BIO 2820 (BIO 3600, 2010, and 2020 strongly recommended). (Fall, even numbered years.) Fee charged. BIO 3720—Genetics (4) Mendelian (classical) is emphasized. Additional topics include chromosome mapping in eukaryotes, chromosomal mutations, extranuclear inheritance, quantitative genetics, and population genetics. Genetic principles are applied to selected human traits as well as those of other organisms. Several genetic disorders of humans are considered. Lecture and lab. Fee charged. BIO 3730—Molecular Biology (4) Molecular genetics is emphasized. Topics include DNA structure, replication, and variation; expression and regulation of genetic information; recombinant DNA technology; and applications and ethics of biotechnology. Selected techniques in molecular genetics are included. Lecture and lab. Fee charged. BIO 4000—Cancer Biology (3) Introduces students to cancer biology fundamentals. Topics include cell proliferation, cell death, the process of metastasis and tumor progression, oncogenes and tumor suppresson genes, and cancer therapeutics. This class will also explore the latest scientific and clinical research through readings and presentations. Prerequisites: Biology I, BIO 1510; Biology II, BIO 1520; and Cell Biology, BIO 2100. BIO 4110—Topics in Biology (1-3) In-depth coverage of one topoic in the biological sciences. Possible topics include botany, zoology, seminal papers in biology, mathematics of biology, biotechnology, and instrumental methods and analysis. Permission of instructor required. May be repeated for credit. Offered as needed. BIO 4330—Special Projects in Biology (1-3) Open to biology majors and minors with advanced standing. Individual study in a chosen field under the supervision of the faculty member in that area of biology. Prerequisite: BIO 1510-20 plus the advanced course in the area of study. Non-majors may take course by special permission. BIO 4335—Seminar in Biology (1) Includes project and papers presented and reported to the science faculty and science majors. To be taken during senior year. BIO 4340—Research Projects in Biology (1-3) Limited to biology majors and minors. Individual or small group research in selected field. Research is under supervision of a faculty member in biology. Prerequisite: beginning courses in major/minor, plus courses pertinent to area of research. BIO 4510—Career Internship in Biology (1-3) Work in off-campus facility under faculty supervision. Limited to juniors and seniors. Supervision coordinated with Career Planning Office. Maximum 6 hours. Graded S/U. GULF COAST RESEARCH LABORATORY–– Marine biology and ecology courses Trevecca has an affiliation with the Gulf Coast Research Laboratory (GCRL) in Ocean Springs, Mississippi. The following courses may be taken during the summer at GCRL and the credits transferred to Trevecca. These courses can then be used to fulfill the biology electives of a biology major of biology minor. The courses listed below are offered each summer. Cunsult the Coast Research Laboratory summer catalog at www.usm.edu/gcrl for a complete schedule of course and additional information. Oceanography (5) Marine Biology (5) Marine Mammals (5) Marine Ecology (5) Marine Invertebrate Zoology (6) Marine Ichthyology (6) Shark Bioloty (5) Costal Ornithology (5) Barrier Island Ecoloty (5) Sport Fisheries Management (5) Au Sable Institute of Environmental Studies Trevecca is a participating university with Au Sable Institute, which is a member of the Council of Christian Colleges and Universities. Through this affiliation students may enroll in courses at the Institute, and the credits will be transferred to Trevecca. Sustainable global development is emphasized in all courses. Biology courses can fulfill biology electives for the biology major and for the biology minor. Twelve hours from Au Sable are required for the environmental science minor. Au Sable offers courses in the Great Lakes, the Everglades, Puget Sound, Kenya, and India. The courses listed below are typically offered during January, May, Summer I, and Summer II sessions. Consult the Au Sable Institute catalog at www.AuSable.org for a complete schedule of courses and additional information. Advanced Field Botany, Biol 411 (4) Alpine Ecology: Live in Context of Snow and Ice, Biol 478 (4) Animal Ecology, Biol 321 (4) Appropriate Technology and Stewardshi[p Praxis, EnvSt/Biol/Int 353 (3) Aquatic Biology, Biol 322 (4) Bioethics; Bridge to the Future, Biol/EnvSt/Phil 351 (4) Bioregiona Models for Environmental Stewardship, Biol/Geog 457 Bioshpere Science, Biol/EnvSt/Geol/Geog 389 (4) Birds and Mammals of East Africa, Biol 331 (4) Birds and Mammals of South India, Biol 330 (4) Birds of the African Tropics, Biol 307 (4) Capstone Seminar and Practicum, Biol/EnvSt/Geog/Rel 443 (4) Conservation Biology, Biol/Geog 471 (4) Development and Ecological Sustainability in Africa, Biol/Geog 308 (4) Directed Individual Study, Biol/Chem/Geog 390 (1-4) Ecological Agriculture: Farms and Gardens for Sustainability, Biol/Agric/Geog 303 (4) Ecological Issues in Science and Religion, EnvSt/Rel (4) Ecology of African Agriculture, Biol/Geog/Agric 403 (4) Ecology of the Indian Tropics, Biol 427 (4) Environmental Art and Illustration, Art/EvnSt 210 (4) Environmental Chemistry, Chem 332 (4) Environmental Ethics, EnvSt/Rel 350 (4) Environmental History of the Pacific Northwest, Hist/EnvSt/Int 368 (4) Field Botany, Biol 311 (4) Field Geology, Geol/Geog 216 (4) Field Geology of the Pacific Northwest, Geol/Geog 217 (4) Field Natural History, Biol 361 (4) Fish Biology and Ecology, Biol 342 (4) Forest Ecology, Biol 487 (4) Global Evelopment and Ecological Sustainabililty, Biol/Geog 304 (4) Chemistry Cognitive skills are emphasized in the chemistry courses, and some psychomotor skills are learned in the laboratory portions of each course. CHE 1010—Principles of Inorganic and Organic Chemistry (4) Includes the basic principles of inorganic chemistry and an introduction to organic chemistry. Designed primarily for pre-nursing students. May also be taken for General Education credit. Lecture and lab. Fee charged. CHE 1020—Principles of Organic and Biochemistry (4) Continuation of organic chemistry CHE 1010 and study of biochemical compounds and their reactions. Prerequisite: CHE1010. Lecture and lab. Fee charged. CHE 1040-1050—General Chemistry I, II (4), (4) A sequence for students planning further work in chemistry. Topics discussed include chemical notation, atomic structures, periodic relationships, bonding, chemical equilibrium, acids, bases, salts, redox reactions, electrochemistry, environmental chemistry, and qualitative analysis. Lecture and lab. Fee charged. CHE 2010-2020—Organic Chemistry I, II (4),(4) An introduction to the study of the compounds of carbon-their classification, nomenclature, preparation, and reactions. Prerequisite: one year of college chemistry. Lecture and lab. Fee charged. CHE 2300—Principles of Analytic Chemistry (3) A study of volumetric, gravimetric and instrumental methods of analysis. Lecture only. Fall, even numbered years. CHE 2530—Analytical Chemistry (4) A study of volumetric, gravimetric, and instrumental methods of analysis. Lecture and lab. (Fall, even numbered years). Fee charged. CHE 3210—Synthetic Inorganic Chemistry (2) A laboratory course open to advanced students in chemistry. Inorganic compounds are prepared in pure conditions. Prerequisite: Chemistry 1050 or equivalent. 6 hours Laboratory. Offered on demand. Fee charged. CHE 3220—Advanced Inorganic Chemistry (4) Descriptive chemistry of the metallic and nonmetallic elements, coordination chemistry, nuclear chemistry, and industrial inorganic chemistry. Prerequisite: Chemistry 1050 or equivalent. Lecture and lab. (Spring, odd-numbered years). Fee charged. CHE 3510—Biochemistry (4) First course in a comprehensive biochemistry sequence. Topics of study will include the structure and function of proteins, carbohydrates and lipids; enzyme mechanics; the kinetics and regulation of biological reactions; and the principles of bioenergetics. Lecture and lab. Prerequisite: CHE 2010 or equivalent. (Fall, odd numbered years). Fee charged. Cross listed as BIO 3510. CHE 3520—Biochemistry II (4) A study of metabolic pathways and their regulation; nucleic acid structure, function and processing; regulation of gene expression; and current technologies used to study and combat diseases resulting from deficiencies in normal biochemical processes. Lecture and lab. Prerequisite: BIO 3510/CHE 3510. (Spring, even numbered years). Fee charged. Cross listed as BIO 3520. CHE 4000—Principles of Physical Chemistry (3) A study of three laws of thermodynamics, phase equalibria, and reaction equilibria. Prerequisites: MAT 1510, PHY 2110, and CHE 1040-50. Lecture only. (Fall, odd numbered years). CHE 4010—Physical Chemistry I (4) A study of three laws of thermodynamics, phase equilibria, and reaction equilibria. Prerequisites: MAT 1510-1520, PHY 2110-20, and CHE 1040-50. Lecture and lab. (Fall, odd numbered years). Fee charged. Cross listed as PHY 4010. CHE 4020—Physical Chemistry II (4) Explores selected recent advances in physical chemistry including quantum mechanics, atomic phenomena, nuclear structure, nuclear forces, nuclear energy, and spectroscopy. Prerequisites: MAT 1510-1520, PHY 2110-20, and CHE 1040-50. Lecture and lab. (Spring, even numbered years). Fee charged. Cross listed as PHY 4020. CHE 4330—Special Projects in Chemistry (1-3) Open to chemistry majors and minors with advanced standing. The course consists of individual study in a chosen field under the supervision of the faculty member in that area of chemistry. Prerequisite: CHE 1040-50 plus the advanced course in the area of study. Non-majors may take course by special permission. CHE 4335—Seminar in Chemistry (1) Consists of projects and paper presented and reported to the science faculty and science majors. CHE 4340—Research Projects in Chemistry (1-3) Limited to chemistry majors and minors. Individual or small group research in a selected field. Emphasis is on basic research techniques. Research is under supervision of a faculty member in chemistry. Prerequisite: beginning courses in major/minor plus courses pertinent to area of research. CHE 4510—Career Internship in Chemistry (1-3) Work in an off-campus chemistry laboratory under faculty supervision. Recommended for students planning a career in chemistry. Prerequisite: CHE 2530. Supervision coordinated with the Career Planning Office. Maximum of 6 hours. Graded S/U. Physics PHY 1010—Basic College Physics (4) An introductory treatment of mechanics, vibration, wave motion, sound, and fluids. Emphasis will be placed on the conceptual aspects of these topics with many illustrative examples drawn from biology and medicine. This course does not require prior knowledge of calculus. Mathematics above high school algebra is not required. .Lecture and lab. Fee charged. PHY 1020—Basic College Physics (4) A continuation of PHY 1010 emphasizing heat, thermodynamics, electricity and magnetism, geometrical and physical optics, topics in atomic, quantum and nuclear physics. Lecture and lab. Fee charged. PHY 1050—Science of Sound (4) Designed as an introductory course in acoustics. A background in physics is not required. Covers the basics needed to understand acoustics in a variety of non-musical and musical areas. This course explores the production, transmission and reception of sound. Topics include fundamental units of measurement, frequency, intensity, superposition, harmonic structure and effects of sound in the normal ear. Lecture and lab. Fee charged. PHY 2030—Digital Electronics (4) A study of the elements of digital circuit logic and microprocessors. Includes minimization techniques, error detecting, data transfer, data conversion, and arithmetic methods. Lecture and lab. (Fall, even years.) Fee charged. PHY 2040—Environmental Physics (3) Energy, advantages and disadvantages of the various energy types now used, energy conversion processes and radiation, and their roles in technological development and the quality of the natural environment. Introduction to sources and methods of energy production, energy usage, energy conservation strategies and alternate energy utilization. Lecture and lab. (On demand.) Prerequisite: PHY 2110. Fee charged. PHY 2100—Object-Oriented Design and Programming in Java I (3) An IT core course designed to provide an in-depth, hands-on introduction to designing and developing software using the Java programming language. Design methodologies, object modeling with UML, structured programming, and data structures are also reviewed. Extensive lab time will help to develop skills needed when developing software in the business environment. Prerequisite: ITI 2000 or permission of instructor. Cross listed as ITI 2100. PHY 2110-20—General Physics I, II (4), (4) For students with an interest in science, engineering, and medicine. Includes mechanics, heat, sound, electricity and magnetism, light, and modern physics. Lecture and lab. Prerequisites: SCI 2100; MAT 1510, 1520. (The Math course may be taken concurrently with PHY 2110, 2120.) Fee charged. PHY 2130—Statics (3) The elements of statics with application to systems of forces in two and three dimensions (particles and rigid bodies), resultants, equivalent systems, and equilibria. Vector notation is introduced. Friction. Corequisite: PHY 2120, MAT 1520. (Spring, even numbered years.) PHY 2140—Intermediate Mechanics (4) A study of the states of systems of particles and of rigid bodies using Newton’s Laws and conservation principles. Covering topics such as kinematics and dynamics of system particles, rotation proportions of rigid bodies, and motion under a central force. Lecture and lab. Prerequisites: PHY 2110, PHY 2120, PHY 4020 and MAT 1510 and 1520. (Fall, even numbered years). Fee charged. PHY 2150—Intermediate Electricity and Magnetism (4) A study that covers electrostatics, electric fields, potential, dielectrics, magnetic fields, currents, and introduction to Maxwell’s equations. Lecture and lab. Prerequisites: PHY 2110, PHY 2120, PHY 4020 and MAT 1510 and 1520. (Spring, odd numbered years). Fee charged. PHY 3130—Circuits (4) Elements of AC/DC circuits with semiconductor devices as applied to computing and other systems. Lecture and lab. (Fall, odd numbered years.) Fee charged. PHY 3500—Object-Oriented Programming in C++ (3) A course designed to provide an in-depth, hands-on introduction to designing and developing software using the C++ programming language. Extensive lab time for programming will help to develop skills needed when developing software in the business and science environment. Some database programming is also included. Prerequisites: ITI 2100 and ITI 2700, or permission of instructor. Cross listed as ITI 3500. PHY 4010—Thermodynamics (4) A study of the first, second, and third laws of thermodynamics, phase equilibria, and reaction equilibria. Lecture and lab. Prerequisites: PHY 2120, MAT 1520. (Fall, odd numbered years). Fee charged. Cross listed as CHE 4010. PHY 4020—Modern Physics (4) A course that explores some of the current concepts in physics. Topics include relativity, energy quanta, atomic phenomena, nuclear structure, nuclear forces, and nuclear energy. Prerequisites: PHY 2120, MAT 1520. Lecture and lab. (Spring, even number years.) Fee charged. Cross listed as CHE 4020. PHY 4330—Special Projects in Physics (1-3) Open to science majors and minors with advanced standing. Individual study in a chosen field under the supervision of a faculty member in Physics. Non-majors may take course by special permission. PHY 4335—Seminar in Physics (1) Consists of projects and paper presented and reported to the science faculty and science majors. PHY 4340—Research Projects in Physics (1-3) Limited to physics majors and minors. Individual or small group research in a selected field. Emphasis is on basic research techniques. Research is under supervision of a faculty member in physics. Prerequisite: beginning courses in major/minor, plus courses pertinent to are of research. PHY 4510—Career Internship in Physics (1-3) Work in off-campus physics lab under faculty supervision. Recommended for students planning a career in science. Prerequisite PHY 2150. Supervision coordinated with Career Planning Office. Maximum 6 hrs. Graded S/U. Science SCI 1500—Life Science (3) A study of biological concepts including the chemistry of life, principles of inheritance, evolutionary theories, biological organization of various organisms, and relationships between organisms and their environment. Issues related to current advances in biotechnology and medicine are also considered. The process of scientific inquiry is emphasized and practiced in both the lecture and laboratory. Fee charged. SCI 1600—Physical Science (3) Designed to convey the nature of matter and methods of study in the physical sciences and to study physical science concepts; issues and values related to the well being of individuals, society and the environment are considered. Fee charged. SCI 2000—Introduction to Environmental Science (3) An introduction to Environmental Science and the scope of environmental problems facing the world. The course focuses on the rapidly increasing rate at which these problems are occurring and the changes they are setting in motion in the biosphere and the interconnectedness of humans in the world ecosystem. This course can be used for the General Education laboratory science curriculum requirement. Available by distance learning. Fee charged. SCI 2100—Introduction to Microcomputer Applications for Science and Mathematics (3) An introduction to computing, providing hands-on experience using commercial software packages for general use with the PC and software used in science and mathematics applications. Specific emphasis will be placed on those programs currently used in science and mathematics courses. DOS, Windows and network environments will be utilized. Software packages such as word-processing, electronic spreadsheets, database programs, plotting and curve fitting, interfacing for data collection and analysis, and programs for mathematical analysis will be covered. SCI 2200—Physical Geology (3) Covers earth processes and their effects on the materials, structure, and morphology of the earth’s crust. Laboratory includes field work, study of rocks, minerals, models, topographic and aerial photographs. Available by distance learning. Fee charged. SCI 2510—Earth and Space Science (3) Covers topics of geology, astronomy, meteorology, oceanography. Suitable for elementary or secondary education majors and for general education. Lab activities related to each major topic are included. Fee charged. SCI 2600—Issues in Science (3) An introduction to themes in the natural sciences that have significantly impacted our world. Among the themes discussed are: relativity, modern cosmology, evolutionary thought, biotechnology, advances in modern medicine, biodiversity, and the use of natural resources. Scientific discoveries will be approached with both a historical perspective and a consideration of current and future applications. Interactions of scientific thought and the Christian worldview are considered. SCI 4330—Special Projects in Earth and Space Science (1-3) Individual study in a chosen area of earth and space science under the supervision of the faculty member in this area. Selected activities are also included. Mathematics MAT 1040—Concepts of Mathematics (3) Considers the realm of mathematics as some of the greatest ideas of humankind—ideas comparable to the works of Shakespeare, Plato, and Michelangelo. This course will introduce students to several of these ideas, selected from topics in numerical patterns, infinity, geometry, topology, chaos, probability, and statistics. Study of these topics will not only demonstrate the beauty of mathematics but will also develop critical thinking skills. This course is designed for liberal arts majors to satisfy the general education requirement. MAT 1055—College Algebra (3) A brief review of concepts of algebra followed by a study of equations and inequalities; polynomial and rational functions and their graphs; solutions to polynomial equations; exponential and logarithmic functions; and systems of equations. MAT 1250—Discrete Mathematics (3) A study of discrete structures geared toward those entering information technology fields. Topics include problem solving, numeration systems, sets, logic, relations, recursion, graphs and trees, sorting, and elementary data structures. (Fall, even numbered years). MAT 1310—Precalculus (3) A brief review of polynomial and rational functions and systems, and of exponential and logarithmic functions. Study of trigonometric functions, graphs, formulas and identities; inverse functions, including inverse trigonometric functions; solutions to systems of equations; and polar coordinate systems. MAT 1400—Perspectives in Mathematics (1) An introduction to mathematical thought for students, especially freshmen, who are interested in a mathematics major or minor, or for any student interested in learning about some important ideas and uses of mathematics. Several contemporary mathematical topics will be studied, such as recently solved problems, orders of infinity, Fermat’s last theorem, Tangles and knot theory, cryptography, the fourth dimension, the four-color theorem, topology, or fractals and chaos. Prerequisite: High school algebra and trigonometry. Calculus is NOT necessary. Graded S, U. MAT 1510-1520—Calculus I and II (4), (4) A study of Cartesian and polar coordinates, parametric equations, vectors and vector-valued functions in 2 and 3 dimensions, limits, differentiation of functions with applications, integration of functions with applications, Taylor polynomials, and series. It is strongly recommended that students take PHY 2110 and PHY 2120 concurrently with MAT 1510 and MAT 1520, respectively. Prerequisites for MAT 1510: MAT 1310 or equivalent; either MAT 1511 or SCI 2100 (may be taken concurrently with MAT 1510). Prerequisites for MAT 1520: MAT 1510. (Fall and Spring, respectively, every year). MAT 1511—Calculus I Computer Lab (1) An introduction to computer software for use in the study of calculus. Will focus on the use of Maple as a tool for solving calculus problems. MAT 2150—Introduction to Mathematical Software and Programming (3) An introduction to current mathematical software. Development of skills in several current programs, such as Derive, Sketch Pad, and Maple Mathematica, for solving symbolic and numerical mathematics problems will be emphasized. Students will learn to write programs using one or more of these systems and graphing calculators. Prerequisites: MAT 1510. (Spring, odd numbered years). MAT 2510—Calculus III (4) A study of partial derivatives and multiple integrals and additional topics in vector-valued functions. Prerequisite: MAT 1520. (Fall, every year). MAT 2600—Introduction to Abstract Mathematics (3) Study of basic ideas and methods of mathematics including sets, logic, proof techniques, relations, functions, mathematical induction, and modular arithmetic. Prerequisite or corequisite: MAT 1520. (Spring, every year). MAT 2800—Program Design and Data Structures (4) The study of elementary data structures, their associated algorithms and their application in problems; rigorous development of programming techniques and style; design and implementation of programs with multiple modules, using good data structures and good programming style. Prerequisite: PHY 3500. (Offered as needed.) MAT 3000—Theory of Probability and Mathematical Statistics (3) Probability of sample spaces, random variables, discrete and continuous probability distributions. Analysis of the principles of descriptive and inferential statistics. Prerequisite: MAT 1520. (Fall, even numbered years). MAT 3010—Discrete Methods (3) Discrete mathematical ideas including graph theory, counting techniques, recurrence relations, and methods of solving applied problems. Prerequisite: MAT 2600. (Fall, odd numbered years). MAT 3020—Differential Equations (3) An introduction to ordinary differential equations, including linear and nonlinear equations with applications, power series solutions, and Laplace transforms. Prerequisite: MAT 1520. (Spring, odd numbered years). MAT 3050—Introduction to Operations Research (3) Study of methods and ideas in operations research including linear programming using the simplex method and interior point methods, nonlinear programming, stochastic processes and Markov chains. Prerequisite: MAT 1520. (Spring, odd numbered years). MAT 3080—Foundations of Geometry (3) Elementary geometry from an advanced standpoint; a study of axiomatic structures; Euclidean in two and three dimensions; Finite geometries, projective geometry and constructions. Prerequisite or corequisite: MAT 2600. (Spring, even numbered years). MAT 3090—Linear and Matrix Algebra (3) Linear equations, vector operations, matrices, determinants, linear transformations, eigenvalues and eigenvectors, singular values and singular vectors, canonical forms, polynomial functions of matrices, vector spaces, and related topics. Prerequisite: MAT 2600. (Spring, even numbered years). MAT 4030—Introduction to Real Analysis (3) Real number system, functions, sequences, limits, continuity, uniform continuity, infinite series and sequences. Prerequisite or corequisite: MAT 2510 and MAT 2600. (Fall, odd numbered years). MAT 4060—Modern Algebra (3) Sets, groups, rings, and fields. Logical rigorous proofs and analysis are emphasized. Prerequisite: MAT 2600. (Fall, even numbered years). MAT4110—Topics in Mathematics (3) In-depth coverage of one topic to be selected from pure or applied mathematics, with regard to interest of the instructor and students. Possible topics include combinatorics, number theory, differential geometry, topology, numerical analysis, coding theory, cryptology, or partial differential equations. Permission of instructor required. May be repeated for credit. Offered as needed. MAT 4330—Directed Study in Math (1-3) For advanced students working on special projects supervised by the instructor. MAT 4335—Seminar in Mathematics (1) Projects and paper presented to the mathematics faculty and other mathematics majors. To be taken by seniors. Offered as needed. MAT 4510—Career Internship in Mathematics (1-3) Mathematics service laboratory (on-the-job experience) under the supervision of faculty. Juniors and Seniors only. Supervision coordinated with Career Planning Office. Maximum 6 hrs. Graded S/U. |
