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Southwest Baptist University Course Catalog 2006-2007 |
Course Descriptions - Mathematics |
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MAT 0103. PreAlgebra - 3 hours (Fall, Spring) This course gives a review of and practice in basic mathematical skills. Applications studied include the use of whole numbers, common and decimal fractions, and percents. The subjects of perimeter, area, and volume are investigated; and concepts of measurement are developed using consumer problems. This course is recommended for students with less than one unit of high school algebra or who have a score of less than 9 on the prealgebra portion of the enhanced ACT Examination. There will be three hours of lecture and one hour of laboratory work each week. This course does not count toward the 128 hours required for graduation. Lab fee $12.
MAT 0123. Intermediate Algebra - 3 hours (Fall, Spring) This course is equivalent to one and one-half units of contemporary high school algebra. It has an emphasis on application. It is recommended for students with one to one and one-half units of high school algebra. There will be three hours of lecture and one hour of laboratory work each week. Prerequisite: Appropriate scores on the prealgebra and intermediate algebra portions of the enhanced ACT Examination or a minimum grade of C in MAT 0103. This course does not count toward the 128 hours required for graduation. Lab fee $12. MAT 1143. College Algebra - 3 hours (Fall, Spring) This course explores the use of algebra in the real world. This exploration takes place by examining the concept of function. Conceptual understanding of linear, exponential, logarithmic, quadratic, and other polynomial functions is grounded in the collection and statistical analysis of real world data. Functions will be used to solve real world problems using modeling techniques. The concept of function is also explored in detail using analytic geometry. Prerequisite: Satisfactory scores on the prealgebra and intermediate algebra portions of the enhanced ACT Examination or a minimum grade of C in MAT 0123 Intermediate Algebra. MAT 1163. PreCalculus - 3 hours (Fall) This course is a rapid and in depth review of algebra, trigonometry functions in the context that it will be used in Calculus. It is intended for the student needing additional algebra and/or trigonometry skills to enable success in MAT 1195 (Calculus) or MAT/BUS 1193 (Business Calculus). Prerequisite:Satisfactory scores on the prealgebra and intermediate algebra portions of the enhanced ACT Examination, a minimum of B in MAT 2283, or a minimum grade of C in MAT 1143 or its equivalent. MAT 1173. Discrete Mathematics - 3 hours (Spring) This course is a study of mathematical concepts that are not dependent upon the continuum. Topics will include sets, logic, combinatorics, probability, functions, relations, matrix algebra, Boolean algebra and graph theory. The concept of proof and the nature of proof will also be explored. Prerequisite: MAT 1143 or its equivalent with a minimum grade of C. MAT/BUS 1193. Business Calculus - 3 hours (Fall, Spring) This course studies derivatives and antiderivatives of functions, inclusive of exponential and logarithmic functions, with applications to business and economics. This course is not open to mathematics majors. Prerequisite: MAT 1143 or its equivalent with a minimum grade of C, MAT 1163 or its equivalent with a minimum grade of C, or satisfactory scores on the prealgebra and intermediate algebra portions of the enhanced ACT Examination. Note: MAT 1193 is a terminal math course. Students desiring further study of calculus must take MAT 1195. Also, a student who takes BUS/MAT 1193 and MAT 1195 will receive credit for only MAT 1195. MAT 1195. Analytics and Calculus I - 5 hours (Fall, Spring) This course studies graphs, functions, plane analytical geometry, limits, continuity, derivatives, velocity-acceleration, rates of change, maxima and minima, differentials, the Mean Value Theorems for integrals and derivatives, antiderivatives, definite integrals, area, and methods of finding volumes. Prerequisite: MAT 1163 or its equivalent with a minimum grade of C; MAT 1143 or its equivalent with a minimum grade of C; or satisfactory scores on the prealgebra, intermediate algebra and trigonometry portions of the enhanced ACT Examination. Note: A student who takes BUS/MAT 1193 and MAT 1195 will receive credit for only MAT 1195. MAT 2255. Analytics and Calculus II - 5 hours (Fall, Spring) This course examines derivatives and integrals of functions and their inverses including exponential and logarithmic functions. It also investigates techniques of integration, further applications of integrals, sequences, series, polar coordinates, applications of parametric equations, and conic sections. Prerequisite: MAT 1195 or its equivalent with a minimum grade of C. MAT 2263. Analytics and Calculus III - 3 hours (Fall, Spring) This course examines curves and surfaces in three dimensions, derivatives and integrals of functions of more than one variable, and vector calculus. Prerequisite: MAT 2255 or its equivalent with a minimum grade of C. MAT 2283. Survey of Mathematics for Elementary and Middle School Teachers I - 3 hours (Fall) This course presents sets, set notation, and symbolic logic in order to describe and define number properties and operations. It includes an axiomatic development of the system of whole numbers. The course investigates the concepts of addition, subtraction, multiplication, and division algorithms for whole numbers, integers, and rational numbers, using manipulatives. This leads to the development of algorithms. Open only to students preparing to teach in the elementary or middle school. Prerequisite: Satisfactory scores on the prealgebra portion of the Enhanced ACT Examination, a minimum grade of B in MAT 0103 or minimum grade of C in MAT 0123. MAT 2293. Survey of Mathematics for Elementary and Middle School Teachers II - 3 hours (Spring) This course extends the concepts of number theory to algebraic reasoning. Concepts of probability and statistics are explored. Analytic, synthetic, and transformation geometry are investigated. Open only to students preparing to teach in the elementary or middle school. Prerequisite: MAT 2283. MAT 2951-4. Special Topics in Mathematics - 1-4 hours Selected mathematics topics of special interest. MAT 3313. Abstract Algebra - 3 hours (Spring, even years) An introduction to abstract algebraic systems and use of properties of groups, rings, integral domains and fields to describe and develop certain characteristics of natural numbers, integers, rational, real and complex numbers. Prerequisite: MAT 1195. Suggested prerequisite: MAT 3333. MAT 3323. Linear Algebra - 3 hours (Spring, odd years) A study of systems of linear equations, matrices, determinants, vector products, vector spaces, linear transformations and quadratic forms. Prerequisite: MAT 1193 or 1195. MAT 3333. Symbolic Logic and Set Theory - 3 hours (Winterfest) This course is an introduction to symbolic statements, truth tables, quantifiers, inference and implication, special sets of numbers, set operations, correspondences, cardinal numbers, Boolean algebra, and the logical structure of mathematical arguments. It is recommended that this course be taken before MAT 3313, MAT 4483, or MAT 4663. Prerequisite: Must have met mathematics general education requirement. MAT 3343. Probability and Statistics - 3 hours (Fall, odd years) This course is a Calculus-based investigation of the concepts of probability and statistics including sample spaces, methods of enumeration, discrete and continuous functions or random variables and their distributions, conditional probability, Chebyshev inequalities, central limit theorem, regression and correlation, and sampling and hypothesis testing. Prerequisite: MAT 1195. MAT 3353. Integrated Mathematics - 3 hours (Spring, even years, Winterfest, odd years) This course will enable students seeking certification in middle or secondary school teaching to analyze mathematics curriculum from an integrated approach. The course will strengthen the students' level of mathematical knowledge, while broadening their structure of this knowledge in a way that is necessary for teachers. The course is recommended for students seeking certification in middle school or secondary school mathematics teaching. All students taking this course will be teaching a component of the course and will be evaluated on their teaching. Prerequisite: Must have met mathematics general education requirement. MAT 3363. Differential Equations - 3 hours (Spring) This course studies explicit and power series solutions of certain types of linear differential equations, boundary value problems, solving differential equations using applications of Laplace Transforms, and various real-world applications of differential equations. Prerequisite: MAT 2263 or concurrent enrollment in MAT 2263. MAT 3373. Math Technologies - 3 hours (Fall, even years, Winterfest, even years) What is math technology? How has it and how should it affect how and what we teach in Mathematics? How will it affect your future - be it mathematics, physical science, social science, or business using mathematics? We will consider and write about these and other questions via hands on experience with various math technologies. This course will have a lab component. Topics developed will be tailored to individual students’ backgrounds and interests. Prerequisites: MAT 1193 or 1195. MAT 3383. History of Mathematics - 3 hours (Fall, odd years) A survey of the significant developments in mathematics and contributions of great mathematicians from the Greeks (Thales) to present day. The course focuses mainly on mathematics developed since the invention of analytic geometry and the calculus. Prerequisite: MAT 1195. MAT/CIS 4433. Numerical Analysis - 3 hours (Fall, even years) A study of finite differences, numerical integration, matrix computations, numerical solution of linear systems and differential equations and curve fitting. Lab fee $12. Prerequisite: MAT 2263. MAT 4483. Contemporary Geometry - 3 hours (Spring, odd years) An axiomatic development of geometry that includes both the classical material of Euclidean geometry and the structure of the alternate axiomatic system of hyperbolic geometry. Prerequisite: MAT 1195. Suggested prerequisite: MAT 3333. MAT 4663. Advanced Calculus - 3 hours (Fall) Advanced Calculus is a study of the basic concepts in analysis. These include concepts such as continuity, convergence of sequences and series of numbers, convergence of sequence and series of functions, differentiation, and integration. A more complete understanding of these concepts than is achieved in the Calculus sequence is necessary for all mathematics majors and thus this course is a core course of the math major and a type of capstone course. Prerequisite: MAT 2263. Suggested Prerequisite: MAT 3333. MAT 4951-4. Special Topics in Mathematics - 1-4 hours (On demand) Selected topics of special interest in mathematics. May be repeated. MAT 4991-3. Independent Studies - 1-3 hours (On demand) Selected mathematics topics of special interest. Students initiate a proposal of study as detailed elsewhere in the catalog. Methods of Teaching Mathematics in the Middle and Secondary Schools. (See EDU 4513). Mathematics Through the Eyes of Faith. (See SCF 3422).
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