MTH 091D Basic Mathematics A
A review of
basic arithmetic. The topics include numeration, operations
with whole numbers, introduction to fractions, and use of
decimals, ratio and proportions, and percents. Syllabus |
MTH 092D Basic Mathematics B
This course is a
prealgebra course to include the use of fractions with an
emphasis on how algorithms will apply in an algebra setting.
It will also include addition, multiplication, and division of
fractions, operations with signed numbers and an introduction
to solving algebraic equations. Finding areas and volumes of
basic geometric shapes will also be included. The Pythagorean
Theorem will be introduced.
Syllabus |
MTH 097D Beginning Algebra
First course in
a sequence of algebra courses. Basic algebra topics covered
include: arithmetic operations and order of operations with
real numbers, application of the commutative, associative and
distributive property to polynomials, collecting similar
terms, the properties of exponents, and the solution of linear
equations and inequalities in one variable. The use of graphs
to evaluate algebraic expressions and an introduction to
statistical ideas such as Venn diagrams, permutations, and
combinations are also included in this course. This course is
designed for students with good arithmetic skills, but little
or no high school algebra.
NOTE: Credits earned in this course do not count toward
degree requirements.
Syllabus
|
MTH 098D
Intermediate Algebra I
Second course in a
sequence of algebra courses. Basic algebra topics covered
include slope concept and equations for linear functions;
solution of systems of equations in two variables by
substitution, addition and Cramer's rule; solution of linear
inequalities; simplification of algebraic expressions with
integer exponents; arithmetic operations on polynomials; and
factoring polynomials. Statistical concepts of probability and
central tendency will be introduced. This course is intended
for the student with good arithmetic skills and some knowledge
of algebra. NOTE:
Credits earned in this course do not count toward degree
requirements. Syllabus |
MTH 099D Intermediate Algebra II
Third course in
a sequence of algebra courses. Basic algebra topics covered
include: operations with rational algebraic expressions
including complex fractions; equations and applications with
rational algebraic expressions; rational exponents and the
concept of roots extending to equations with radicals;
solution of quadratic equations using factoring, completion of
the square and the quadratic formula; and operations with
complex numbers. NOTE:
Credits earned in this course do not count toward degree
requirements.
Syllabus
|
MTH 122S College Algebra
Comprehensive
college algebra course designed to provide a basis for
continued study in mathematics or application fields. Topics
include: functions and relations and their graphs; algebraic
operations on functions; theory of polynomial equations;
analysis of rational functions; exponential and logarithmic
relationships; systems of equations and inequalities, and
conics.
Syllabus
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MTH 123S Trigonometry
Part of an
algebra-trigonometry sequence. Topics include basic
trigonometric ratios; radians as an angle measure;
trigonometric functions and their graphs; trigonometric
identities; trigonometric description of complex numbers and
roots and powers of real and complex numbers.
Syllabus
|
MTH 125S General Statistics
An introductory
general statistics course. Topics include data organization
and display; measure of dispersion and central tendencies;
probability models, random variables and finite probability
distributions; normal and binomial distributions; normal
distribution approximation to the binomial distribution;
central limit theorem and confidence limits; introduction to
experimental design and sampling; and statistical control
charts for statistical process control (SPC).
Syllabus |
MTH 126S Mathematical Foundations
I
First of a two
course sequence designed for elementary education majors.
Topics covered include origin of numbers and systems of
numeration; systems of whole numbers, integers, and rational
numbers; and sets and logic.
Syllabus |
MTH 127S Mathematical Foundations
II
Continuation of
MTH 126S. Topics covered include introduction to probability,
statistics, plane geometry, and coordinate geometry; and
concepts of measurement and problem solving.
Syllabus
|
MTH 201S Inferential Statistics
An advanced
course in inferential statistics and a continuation of MTH
125S. Includes topics of normal distribution, t-distribution,
and the normal approximation to the binomial distribution;
experimental design and sampling; estimating confidence
intervals with test of significance; hypothesis testing for
the mean of a population and comparison of two means;
Chi-square distribution with application to inference about a
population variance and to contingency tables; analysis of
variance; and scatter plots with least squares regression and
correlation.
Syllabus
|
MTH 221S Calculus
and Analytical Geometry I
Introduction to
differential and integral calculus. Includes differentiation
and integration of algebraic and transcendental functions with
applications to science and engineering.
Syllabus
|
MTH 222S Calculus and Analytical
Geometry II
A standard
second semester calculus course. Includes topics of numerical
integration techniques; conic sections; indefinite integral;
indeterminate forms of limits; and infinite series and
Taylor's theorem.
Syllabus
|
MTH 223S Calculus and Analytical
Geometry III
A standard third
semester calculus course. Includes the topics of parametric
equations; solid analytical geometry; vectors and vector
functions; multivariable calculus; partial derivatives; and
multiple integrals. Syllabus |
MTH 226S Calculus for Business and
Life Sciences
Designed for
business and life science majors. Topics include limits,
continuity, the derivative and techniques of differentiation;
graphing techniques; logarithmic and exponential functions;
anti-derivatives, definite integrals and techniques of
integration; and applications of the derivative and integral
to business and life science. Syllabus |
MTH 231S Differential Equations
An ordinary
differential equations course with topics that include
techniques of first order differential equations; existence
and uniqueness theorems for solutions; solutions of linear
differential equations; systems of linear differential
equations; LaPlace transforms and solutions of initial value
problems; and series solutions. Syllabus |
MTH 299S Selected Topics in
Mathematics
An in-depth
study of a particular selected topic in Mathematics. |
