2018-19 Undergraduate Academic Catalog

GMTH-1040 3 hours Calculus for Business/Social Science –Fa, Sp Introduction to the concepts of differential and integral calculus for students of business. Numerous applications from these areas will be considered. Does not apply toward major in mathematics. Prerequisite: proficiency in mathematics. GMTH-2110 Introduction to Biostatistics –Fa,Sp 3 hours An introduction to statistical methods that are of particular interest to biologists for experimental design and interpretation. Prerequisites: BIO-1110 Intro to Biology or MATH-1700 Calculus & Dynamical Systems for Life Sciences or MATH-1710 Calculus I. GMTH-3010 Proof and Mathematical Modeling –Fa 3 hours Proof by contradiction, contrapositive, and induction will be explored along with direct proof in the verification of conjectures and other mathematical propositions. Additionally, the formulation of discrete, statistical, and algebraic mathematical models, along with their use in solving problems, will be studied. Appropriate educational technology, including graphing calculators, spreadsheets, and geometric manipulation software will be used throughout. Does not count toward the B.A. or B.S. majors in mathematics or the B.A. in integrated mathematics education. Prerequisites: EDUC-2800 Principles of Mathematics II; GMTH- 1020 College Algebra. GMTH-3100 Theory of Interest –Sp 3 hours Interest: simple and compound. Effective rate of interest. Time value of money; present and future. Cash flow calculations: loans, bonds, and investments. Annuities: due and immediate. Perpetuities. Yield. Amortization and sinking funds. Interest rate risk. Immunization. Financial derivatives. Prerequisites: MATH- 1720 Calculus II; corequisite: FIN-3710 Principles of Finance. (even years) General Science (GSCI) Except where noted, general education courses are designed to meet the general education requirements for graduation. These courses will not count toward graduation requirements for majors found in the Department of Science and Mathematics unless they are specifically listed in the curriculum requirements for a major. A student majoring in science or mathematics may take these courses only as electives. However, any course listed for a science or mathematics major or minor may also count toward fulfilling general education requirements. GSCI-1010 Principles of Earth Science –Fa, Sp 3.5 hours A survey of the sciences of geology, oceanography, and meteorology. Major lecture topics include discussion of earth’s geological history, minerals, rocks, dating, plate tectonics, glaciers, volcanoes, ocean currents, marine life, waves, the atmosphere, and weather systems. When appropriate, contrasting views of these subjects will be examined. Laboratory experiences include field trips to areas of local geological interest. Lecture three times per week and laboratory on alternate weeks. Satisfies the physical science requirement of the general education requirements. (Fee: $75) GSCI-1020 Principles of Physical Science –Fa, Sp 3.5 hours A survey of the sciences of physics, chemistry, and astronomy. Major lecture topics include motion, force, energy, heat, waves, electricity, optics, quantum effects, periodic table, chemical bonds, chemical reactions, astronomical measurements, and the origin of the universe. Content of this course will be related to social and philosophical issues to emphasize a Christian’s responsibility in a technological society. Lecture three times per week and laboratory on alternate weeks. This course satisfies the physical science requirement of the general education requirements. (Fee: $75) GSCI-1030 Geology of the National Parks –Su 3.5 hours This course will explore the geology of the national parks and surrounding areas in specific regions of the United States. It is a two-week travel study course that fulfills the three and a half-hour laboratory physical science requirement. Trip locations may vary from year to year. Six or more major areas will be explored on each trip. Students will be expected to complete a photographic atlas with appropriate geological descriptions of each stop. Special emphasis will be placed on how geologic history is interpreted and placed into biblical and conventional frameworks. Students will learn how to make geological observations and take field notes. No previous geological knowledge is required. It is necessary for students to be in good physical shape for occasional hiking in rough terrain and at high altitudes, although requirements can be modified for students unable to do so. Special equipment may be required. Special course fees apply and will vary from year to year. GSCI-1110 4 hours Environment: Science, Sustainability, and Stewardship –Sp An interdisciplinary study of the environment that considers foundational understanding rooted in science, society, and economy. We will explore the socio-ecological implications of human activity, impacts, and responsibility for the environment. Students from all majors are welcome and will be challenged to develop and apply a biblical stewardship ethic. Three lectures and one two-hour laboratory per week. Crosslisted with ENVS-1110. (Fee: $100) GSCI-2010 Physical Science for Teachers –Fa, Sp 4 hours Introduction to a selection of core concepts of physics and chemistry for preservice elementary education teachers. Students will develop methods of learning science, with emphasis on inquiry, scientific method, and integrating common everyday objects and experiences with a view toward cultivating the excitement of studying God’s creation. Three lectures with one weekly one-hour lab. Does not satisfy the physical science general education requirement. (Fee: $75) GSCI-3010 Concepts in Middle School Science –Sp 4 hours This course highlights key concepts in middle school science by reviewing and extending concepts from previous science courses with an emphasis on the integration of earth sciences, physical sciences, and life sciences. Concepts addressed include the nature and history of science, the theories of biological and geological evolution, and cell theory. This course will include pertinent pedagogy for teaching stated concepts in a middle school setting. Three lectures and one laboratory session per week. Prerequisites: GBIO-1000 Principles of Biology; GSCI-1010 Principles of Earth Science. CHEM-1000 Principles of Chemistry (recommended) (Fee: $75) (even years) GSCI-3060 4 hours Environmental Science for Middle School Educators –Sp Introduction to the interdisciplinary study of the dynamic relationships that exist between the earth’s organisms and their environment and how human activity affects these relationships. Students will identify and analyze environmental problems both natural and human-made and identify and explore sustainable solutions to the problems. This course will include pertinent pedagogy for teaching environmental science in a middle school setting. Three lectures and one laboratory session per week. This course does not satisfy the general education requirement for biology. Prerequisites: GBIO-1000 Principles of Biology, GSCI-1010 Principles of Earth Science (Fee: $100) (odd years) Mathematics (MATH) MATH-1700 4 hours Calculus and Dynamical Systems for the Life Sciences –Fa, Sp An introductory calculus and dynamical systems course for majors in the life sciences. Discrete and continuous dynamical systems, limits and derivatives, including derivatives of trigonometric, exponential, logarithmic and inverse trigonometric functions, applications of derivatives and dynamical systems, including related rates and optimization, differential equations, integrals - both definite and indefinite - and their applications, and possibly analysis of autonomous differential equations. Prerequisite: GMTH-1030 Precalculus or equivalent; or permission of instructor. MATH-1710 Calculus I –Fa, Sp 5 hours First course of a two-course sequence covering basic concepts of analytic geometry and single variable calculus. Includes limits and single variable calculus. Includes limits and derivatives of algebraic and transcendental functions, applications of the derivative, single variable integration, including the Fundamental Theorem of Calculus and integration by substitution, and applications of integration, including solving differential equations and finding volumes of revolution. Prerequisite: GMTH-1030 Precalculus or equivalent; or permission of instructor. MATH-1720 Calculus II –Fa, Sp 5 hours The second course of a two-course sequence covering the basic concepts of analytic geometry and single variable calculus. Includes techniques of integration such as integration by parts, trigonometric substitution and partial fractions, improper integrals and L’Hopital’s rule, sequences, series, expansion of functions into Taylor and power series, conic sections, plane curves, calculus of parametric equations and polar coordinates, vectors and geometry in three-space, vector-valued functions and curvature. Prerequisite: MATH-1710 Calculus I or equivalent or permission of instructor. MATH-1880 Topics in Calculus –Fa, Sp, Su 1–3 hours This course is for students who are attempting to transfer credit for MATH-1710 or MATH-1720 Calculus I and II when those transferred courses lack some of the topics contained in MATH- 1710 or MATH-1720. It requires full participation in a MATH-1710 or MATH-1720 course during the sections in which the student’s transferred course is found to be deficient or in a stand-alone course offered during Summer School I. Prerequisite: GMTH-1030 Precalculus or equivalent; permission of instructor. Corequisite: partial transfer credit for MATH-1710 and/or MATH-1720 or approved transient credit for a Calculus I or II course that will provide less than full credit for MATH-1710 or MATH 1720. MATH-1990 3 hours Beautiful Math Structures and Thinking –Fa This course introduces freshmen math majors to interesting mathematical ideas and applications beyond the usual scope of standard math courses. Topics include an introduction to propositional logic, function theory, and infinite sets. Other topics will be chosen from elementary number theory, modular arithmetic, error-correcting codes, Fibonacci numbers and the golden ratio, fractals, discrete dynamical systems and chaos, Euler and Hamilton Circuits, democracy and impossibility theorems, game theory, the Platonic solids, n-dimensional space, and other topics up to the discretion of the instructor. MATH-2210 Logic and Methods of Proof –Fa 3 hours Introduction to formal mathematical logic; emphasis on preparing students for the abstraction of upper-division courses. Special attention is given to the development of students’ skills with a variety of methods of proof, using examples from numerous areas. Prerequisites: MATH-1720 Calculus II; MATH- 1990 Beautiful Math Structures and Thinking; or permission of instructor. MATH-2510 Discrete Math for Computer Science –Sp 3 hours An introduction to mathematical foundations of computer science, including propositional and predicate calculus, methods of proof, sets and relations, recurrences, graphs and trees, and program correctness and proofs. This course does not satisfy any requirements for the B.A. or B.S. in mathematics or the B.A. in integrated mathematics education. Prerequisite: MATH-1710 Calculus I. MATH-2520 3 hours Discrete Math and Probability Principles for Computer Science –Sp An introduction to mathematical foundations of computer science, including propositional and predicate calculus, methods of proof, sets and relations, recurrences, program correctness and proofs, probability models, random variables, probability distributions, estimation, and hypothesis testing. This course does not satisfy any requirements for the B.A. or B.S. in mathematics or the B.A. in integrated mathematics education Prerequisites: MATH-1720 Calculus II; EGCP-1010 Digital Logic Design. MATH-2710 Calculus III –Fa, Sp 3 hours Introduction to differential and integral calculus of several variables, multiple integrals, vector analysis, line integrals, and surface integrals. Prerequisite: MATH-1720 Calculus II or equivalent or permission of instructor. MATH-2740 Differential Equations –Fa, Sp 3 hours Study of the standard techniques employed in the solution of differential equations with emphasis on those arising from physical problems. Prerequisite: MATH-1720 Calculus II or equivalent. MATH-2800 LaTeX for Technical Documents –Sp 1 hour In this course students will be introduced to the typesetting language of LaTeX through the use of tutorials, example documents, and homework assignments. They will learn to easily prepare professional-looking theses, conference papers, and journal papers. They will also learn how to create professional- looking presentations, homework, quizzes, examinations, syllabi, resumés, and curriculum vitae. MATH-3050 4 hours Algebraic Structures for Secondary Education Majors –Fa An introduction to the basic ideas of number theory, abstract algebra, and linear algebra. Factorization of integers, congruence modulo m, Fermat’s Theorem, groups, rings, integral domains, fields, vector spaces, systems of linear equations, determinants and inverses, linear transformations, eigenvalues, and eigenvectors. Does not count toward B.A. or B.S. majors in mathematics. Prerequisites: MATH-2210 Logic and Methods of Proof. (even years) MATH-3110 Probability and Statistics –Sp 3 hours Probability models, random variables, probability distributions, estimation, and hypothesis tests are studied from theoretical and practical viewpoints. Prerequisite: MATH-1720 Calculus II. MATH-3120 Theory of Probability –Sp 3 hours Topics include combinatorial analysis, axioms of probability, conditional probability, independent events, Bayes’ Formula, random variables, expected value, variance, discrete distributions, continuous distributions, joint distributions, the Law of Large Numbers, and the Central Limit Theorem. Prerequisites: MATH- 2710 Calculus III; MATH-2210 Logic and Methods of Proof MATH-3240 Introduction to Operations Research –Fa 3 hours Formulation and analysis of mathematical models for the optimal solution of decision making problems under certainty. Course content includes linear programming; the simplex method, duality and sensitivity analysis. This course applies probabilistic analysis to such nondeterministic models as queueing models, elements of dynamic programming, and Markov decision analysis. Prerequisites: MATH-3610 Linear Algebra; or permission of the instructor. (even years) Page 296 2018–19 Undergraduate Academic Catalog 2018–19 Undergraduate Academic Catalog Page 297 Course Descriptions Course Descriptions GMTH-1040 – GSCI-3060 MATH-1700 – MATH-3240 SCIENCE AND MATHEMATICS SCIENCE AND MATHEMATICS