# Mathematics Courses

 MTH Mathematics

MTH 08 Pre-Algebra . . . . . . . . . . . . . .4.0 (non-credit) (4)
Small study groups work in write-in texts in guided
discovery format, along with short lectures. Significant
use and instruction of TI83 calculator. This course
covers all basic operations with fractions and decimal
fractions. There is good coverage of special
denominator fractions such as percent, ppm, and ppb.
Proportions and ratios are used to introduce rational
numbers. There is a survey of metric and English
measurement systems with thorough treatment of
dimensial analysis in each. Conversion factors and
proportions
are both used for expanding fractions and
for dimensional analysis. Other topics that are
integrated throughout the course include: scientific
notation and large number nomenclature , prime number
theory and prime factorization, basic geometry of
angles, area and perimeter of rectangles, triangles and
circles. Volume and surface area of cubes and
rectangular prisms. Metric and English mass units are
introduced as are related topics such as density.
Variables are used in order to introduce algebraic
concepts. An algebraic approach is used for solving
proportions and other equations. The function concept
is used in each unit of the course using the graph and
table
utilities of graphing calculator.

MTH 23 Beginning Algebra . . . . . . . . 4.0 (non-credit) (4)
Prerequisite(s): MTH 08 or COMPASS score of 44 on prealgebra
or 19 on Algebra test.
The course covers the arithmetic of integers and rational
numbers, the properties of integral exponents , addition,
subtraction, and multiplication of polynomials and
rational expressions, and factoring of polynomials.
Solving linear equations, quadratic equations, and
equations containing rational expressions is also
covered. Function notation is introduced and used
throughout the course and basic graphing of functions is
covered, including slope, x and y- intercepts , and the
vertex of a parabola . Problem solving is stressed,
including unit conversions. Students are required to
have and learn to use a TI83 graphing calculator.

MTH 106 Math for ElementaryTeachers . . . . . . . .3.0 (3)
Prerequisite(s): MTH 111
Emphasis is on the structure of elementary
mathematics. Problem solving and critical thinking
using Polya’s four-step process. Sets, relations, whole
numbers, other base arithmetic, algorithms, properties
of numbers, ratios and proportions, percents, modular
arithmetic, elementary number theory, fractions,
integers, rational and irrational numbers are the main
topics presented. Group 2 course.

MTH 111 Intermediate Algebra . . . . . . . . . . . . . . . 4.0 (4)

Prerequisite(s): 2.0 or better in MTH 23 and ENG 99, or
COMPASSscore of 46 or higher on the Algebra portion of
the COMPASS test.

Intermediate Algebra covers elementary set notation, a
description of the Real number system and its major
subsets, and an introduction to the Complex number
system. Solving linear, quadratic and rational equations
and inequalities . Investigation of graphical, numerical
and symbolic representations and manipulations of
various functions including: linear, rational and
polynomial functions. Problem solving and the function
concept are integrated throughout. Students are required
to have and learn to use a TI-83 graphing calculator.
This course is offered in multiple formats such as online
Group 2 course.

MTH 116 Intro.to Computer Science . . . . . . . . . . .4.0 (4)
Prerequisite(s): MTH 111

A high level computer language (currently Java) will be
used to provide a thorough introduction to computer
science, object-oriented programming, problem solving,
and algorithm and data structure development.
Illustrative applications and programming assignments
will be given. Group 1 course.

MTH 121 College Algebra . . . . . . . . . . . . . . . . . . . 4.0 (4)
Prerequisite(s): MTH 111 or score of 66 on the Algebra
portion of the COMPASS test.

This course continues the development of algebraic
skills begun in MTH 111. The topics covered include
functions, mathematical models, solving equations
algebraically and graphically, equations of the conic
sections, polynomial, logarithmic, exponential
functions, linear and nonlinear systems of equations.
Group 1 course.

MTH 122 Trigonometry . . . . . . . . . . . . . . . . . . . . . .3.0 (3)
Prerequisite(s): MTH 121

Definition and graphic representation of the
trigonometric functions. Triangles, angle measure,
equations, identities, and inverse functions are discussed
in detail. Law of Sines , Law of Cosines, and vectors
will also be covered. Group 1 course.

MTH 131 Intro to Probability and Statistics . . . . .3.0 (3)
Prerequisite(s): MTH 111

Descriptive statistics, experimental design, an
introduction to probability concepts and inferential
statistics are all included in this course. Descriptive
statistics includes graphical representations such as
histograms, bar charts, pie charts, boxplots, stemplots,
scatterplots and the normal curve . Measures of central
tendency such as the mean and median, and measures
of variation such as the standard deviation and quartiles
are studied. The normal density function and linear
regression are included. One and two sample problems
involving confidence intervals and significance tests are
studied for the sample mean and the sample proportion.
Group 1 course.

MTH 140 College Algebra & Trigonometry . . . . . .5.0 (5)
Prerequisite(s): MTH 111 or a score of 21 on the College
Algebra portion of COMPASS. Students receiving credit for
MTH 121 and/or MTH 122 will not receive credit for MTH
140.

This course is designed to provide the student with
the necessary maturity and skills to begin the calculus
sequence. The topics covered include elementary set
theory, equations of the conic sections, polynomial,
logarithmic, exponential, trigonometric functions, linear
and nonlinear systems of equations. Group 1 course.

MTH 141 Calculus I . . . . . . . . . . . . . . . . . . . . . . . .5.0 (5)
Prerequisite(s): MTH 140 or MTH 122 or a score of 46 or
higher on the College Algebra portion of COMPASS.
This is the first course in a traditional calculus
sequence, emphasizing the development of the
mathematical thought process. The topics covered
include limits (definitions and limit proofs), continuity,
derivatives of algebraic and trigonometric functions,
applications of the derivative, the indefinite and definite
integral, the fundamental theorem of calculus, and
applications of integration. Group 1 course.

MTH 142 Calculus II . . . . . . . . . . . . . . . . . . . . . . . .5.0 (5)
Prerequisite(s): MTH 141

This course is a continuation of Calculus I. The topics
include differentiation and integration involving
exponential, logarithmic and inverse trigonometric
function. There is an introduction of various integration
methods. L’Hosital’s Rule, improper integrals,
parametric equations, polar coordinates, and infinite
sequences and series are also investigated. Group 1 course.

MTH 206 Math for Elem. Teachers II . . . . . . . . . . . 3.0 (3)
Prerequisite(s): MTH 106

Continuation of MTH 106, problem solving and critical
thinking using Polya’s four-step process, statistics,
probability, geometric shapes, measurement and
dimensional analysis, area and volume formulas, similar
and congruent triangles, geometric constructions,
geometry using coordinates, geometry using
transformations. Writing is emphasized.
Group 2 course.

MTH 241 Calculus III . . . . . . . . . . . . . . . . . . . . . . .4.0 (4)
Prerequisite(s): MTH 142
The course covers multivariable calculus including
three-dimensional analytical geometry, vector valued
functions, partial differentiation, and multiple
integration (with applications of each). Also an
introduction to linear algebra will be covered. Group 1
course.

MTH 251 Differential Equations . . . . . . . . . . . . . . .4.0 (4)

Prerequisite(s): MTH 241
Introduces the concepts of differential equations and of
linear algebra. Topics include: solving linear and
systems of linear differential equations, Laplace
transformations, power series solutions, and their
physical applications. Solutions are found using
analytical, numerical, or graphical techniques relating to
quantitative modeling and Laplace transforms. Linear
algebraic topics include: vector spaces, subspaces,
spanning sets, linear dependence and independence,
basis and dimensions, eigenvalues, eigenvectors, and
linear transformations. Group 1 course.

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