2013â2014 Undergraduate Catalog - University of the Cumberlands
2013â2014 Undergraduate Catalog - University of the Cumberlands
2013â2014 Undergraduate Catalog - University of the Cumberlands
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MATH 240. Calculus II<br />
This course is a continuation <strong>of</strong> MATH 140. Topics include transcendental functions, areas, volumes, inverse functions,<br />
techniques <strong>of</strong> integration, conic sections, polar coordinates, indeterminate forms, and improper integrals. Prerequisite:<br />
grade <strong>of</strong> C or better in MATH 140. Credit, 4 hours. Offered fall and spring semesters.<br />
MATH 241. Calculus III<br />
This is a continuation <strong>of</strong> MATH 240. Topics include sequences, series, vectors, <strong>the</strong> calculus <strong>of</strong> vector-valued functions,<br />
and <strong>the</strong> calculus <strong>of</strong> functions <strong>of</strong> more than one independent variable. Prerequisite: grade <strong>of</strong> C or better in MATH 240.<br />
Credit, 4 hours. Offered fall and spring semesters.<br />
MATH 330. Geometry for <strong>the</strong> Elementary and Middle School Teacher<br />
This course is designed for those elementary and middle school education majors with teaching emphasis in ma<strong>the</strong>matics.<br />
It is <strong>the</strong> study <strong>of</strong> plane and solid Euclidean geometry as an axiomatic system. (This course does not count toward <strong>the</strong><br />
ma<strong>the</strong>matics major.) Credit, 3 hours. Offered spring semesters <strong>of</strong> odd years and o<strong>the</strong>r semesters by demand.<br />
MATH 331. College Geometry<br />
This course is <strong>the</strong> study <strong>of</strong> Euclidean geometry at <strong>the</strong> college level and <strong>the</strong> introduction to development <strong>of</strong> non Euclidean<br />
geometries. Topics include: Historical development, sets and propositions, logical equivalences, axiomatic systems,<br />
coordinate systems, and plane hyperbolic geometry. Prerequisite: Pr<strong>of</strong>iciency in high school geometry and methods <strong>of</strong><br />
pro<strong>of</strong> are required to enter this course. Credit, 3 hours. Offered fall semesters.<br />
MATH 332. P-5 Teaching Math<br />
This is a course in modern methods <strong>of</strong> teaching ma<strong>the</strong>matics in grades P-5 with emphasis on applications <strong>of</strong> KERA to<br />
<strong>the</strong> primary school ma<strong>the</strong>matics classroom. Prerequisites: MATH 130, 230 and ACT <strong>of</strong> 21+. Credit, 3 hours. Offered fall<br />
and spring semesters.<br />
MATH 333. Middle School Math Methods<br />
This is a course in modern methods <strong>of</strong> teaching ma<strong>the</strong>matics in grades 5-9 with emphasis on applications <strong>of</strong> KERA to<br />
<strong>the</strong> middle school ma<strong>the</strong>matics classroom. Prerequisites: MATH 130, 230, and ACT <strong>of</strong> 21+. Credit, 3 hours. Offered fall<br />
and spring semesters.<br />
MATH 335. Introduction to Probability and Statistics<br />
The purpose <strong>of</strong> this course is to acquaint <strong>the</strong> student with <strong>the</strong> basic concepts <strong>of</strong> statistics and probability and how <strong>the</strong>y<br />
are used in handling data. Prerequisite: MATH 132. Credit, 3 hours. Offered fall and spring semesters.<br />
MATH 401. Ma<strong>the</strong>matics History<br />
This course provides <strong>the</strong> student with <strong>the</strong> opportunity to study <strong>the</strong> development <strong>of</strong> ma<strong>the</strong>matics from <strong>the</strong> ancient<br />
Babylonians to <strong>the</strong> present day from a historical point <strong>of</strong> view. An in-depth study is made <strong>of</strong> <strong>the</strong> Greek contribution and <strong>of</strong><br />
<strong>the</strong> ma<strong>the</strong>matical revolution <strong>of</strong> <strong>the</strong> l7th and l8th centuries. This Integrated Studies course can fulfill a requirement in Section<br />
IIIA <strong>of</strong> <strong>the</strong> General Education Curriculum. Credit, 3 hours.<br />
MATH 430. Differential Equations<br />
First order ordinary differential equations are studied, followed by differential equations <strong>of</strong> higher order. Prerequisite:<br />
MATH 241. Credit, 3 hours. Offered spring semesters.<br />
MATH 431. Abstract Algebra<br />
Topics covered include structure <strong>of</strong> <strong>the</strong> number systems, groups, mappings, rings, fields, sets, and metrics. Prerequisite:<br />
MATH 241 or consent <strong>of</strong> instructor. Credit, 3 hours. Offered fall semesters.<br />
MATH 432. Linear Algebra<br />
Topics covered include topics from matrix algebra, vector spaces, linear transformations, change <strong>of</strong> bases, orthogonality,<br />
determinants, eigenvalues, and eigenspaces. Prerequisite: MATH 241 or consent <strong>of</strong> instructor. Credit, 3 hours. Offered<br />
spring semesters.<br />
MATH 433. Discrete Ma<strong>the</strong>matics<br />
Topics will include symbolic logic, functions, cardinality, pro<strong>of</strong>s, ma<strong>the</strong>matical induction, pigeonhole principle,<br />
permutations, combinations, trees, and graphs. Prerequisite: MATH 241 or consent <strong>of</strong> instructor. Credit, 3 hours. Offered<br />
spring semesters.<br />
MATH 435. Ma<strong>the</strong>matical Statistics<br />
This is an introduction to discrete and continuous distributions, expected values and moments, special probability<br />
distributions and densities. Prerequisite: MATH 241. Credit, 3 hours. Offered on demand.<br />
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