MATH101
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Fundamentals of Mathematics |
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| This course covers introductory algebra. Topics include linear
equations, polynomials, factoring, quadratic equations, straight
line graphing, and problem solving. Grades assigned for this course
include the 12-point grading scale and the addition of an "NC"
grade. "NC" stands for no credit and it doesn't affect the GPA.
Students receiving an "NC" will need to repeat the course successfully
to meet their prerequisites for other higher-level classes. ("NC"
may not be available in all off-campus programs due to state rulings
on repeating courses). This is a developmental course.
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MATH110
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Intermediate Mathematics |
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| Prerequisite: MATH 101, "B" or better in one
year of high school algebra, "B" or better in two yeas of integrated
mathematics, or permission of the instructor.
Topics include polynomials, rational expressions, inequalities, introduction
to functions, graphing of linear and nonlinear equations and inequalities,
systems of equations, and radicals.
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MATH123
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Elementary Statistics |
Y |
| Prerequisites: MATH 101, one year of high school Algebra I and one
year of any other college preparatory mathematics class, or two years
of integrated mathematics.
This is a first course in the study of descriptive and inferential
statistics utilizing only rudimentary skills of arithmetic and algebra.
Elementary probability, measures of central tendency, measures of variability,
confidence intervals, and hypothesis testing.
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MATH132
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Applied Mathematical Analysis |
Y |
| Prerequisite: MATH 110, advanced high school algebra, or three years of
integrated mathematics.
This course provides an introduction to finite mathematics and mathematical
analysis. Topics include matrices, linear programming, math of finance,
algebraic functions, and logic. A graphing calculator is required.
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MATH133
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Applied Calculus |
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| Prerequisite: MATH 132 or 140.
The course content consists of a survey of differential and integral
calculus of algebraic functions with an emphasis on applications in
business and economics. A graphing calculator is required.
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MATH140
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Precalculus |
Y |
| Prerequisite: MATH 110, advanced high school algebra, or three years
of integrated mathematics.
This is a pre-calculus course emphasizing the function concept and
trigonometry. It includes a study of the algebraic, exponential,
logarithmic, and trigonometric functions. Other topics include
graphing techniques, trigonometric identities, and complex numbers.
A graphing calculator is required.
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MATH141
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Calculus I |
Y |
| Prerequisite: MATH 140, satisfactory score on the mathematics
placement exam, or permission of the instructor.
This course is an introduction to a graphical, numerical, and
symbolic approach to differential and integral calculus of one
variable. Topics cover the rate of change of a function, limits,
continuity, rules of differentiation, and definite and indefinite
integrals. Applications to the study of motion, optimization,
and related concepts in other areas of the natural and social sciences
are included. A graphing calculator is required.
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MATH142
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Calculus II |
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| Prerequisite: MATH 141.
A continuation of MATH 141, this course includes a study of the
techniques and applications of integral calculus. Topics include
calculus of transcendental functions (logarithmic, exponential,
and inverse trigonometric functions), techniques of integration,
sequences, series, parametric equations, and polar equations of
curves. A graphing calculator is required and projects that require
use of computer algebra systems (Maple) are included.
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MATH223
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Applied Stat and Data Analysis |
Y |
| Prerequisite: MATH 133 or MATH 141
This course in applied statistics provides a broad and practical
overview of the statistical analysis methods used by researchers
today to design experiments and collect, summarize, analyze, and
draw conclusions from research data. Topics may include binomial
distribution, the normal distribution, sampling distributions,
confidence intervals, comparison of two independent samples,
statistical principles of design, comparison of paired samples,
analysis of categorical data, comparing the means of many
independent samples, ANOVAs, single and multiple regression,
and correlation, as well as parametric and non-parametric
data analysis.
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MATH250
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Calculus III |
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| Prerequisite: MATH 142.
A continuation of MATH 142, this course includes an introduction
to the calculus of vectors, vector-valued functions, and three-dimensional
surfaces. Topics include a development of vector calculus, motion
in space, functions of two or more variables and their derivatives,
multiple integrals, and line and surface integrals. A graphing
calculator is required and projects that require use of computer
algebra systems (Maple) are included.
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MATH295
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Intro to Discrete Mathematics |
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| Prerequisite: MATH 141 or permission of the instructor.
This course provides a bridge to higher-level mathematics through
the use of proof and the study of topics in discrete mathematics.
Topics include sets, logic, theorems, proofs, proofs by induction,
recurrence, permutations and combinations, order relations,
matrices, and graph theory.
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MATH301
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Mathematics Technology |
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| Prerequisite: MATH 142 or 133
A course designed for applied mathematicians and mathematics teachers.
Mathematical problem solving and instruction will be facilitated
by learning various technologies currently used in industry. Projects
will be designed based on the background of the student. Technologies
used in the course may include hand-held computer devices and software
packages that can be used in a variety of settings that may include
statistical analysis of data, geometric representations, symbolic
manipulation, or measurement.
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MATH302
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Mathematical Intro to Cryptology |
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| Prerequisite: MATH 132 or permission of instructor.
This course offers an introduction to current cryptological practice
that have mathematical content or underpinnings. Topics include
ciphers and modular arithmetic, probability and expectation,
the Hill cipher including matrix arithmetic, Boolean functions,
computational complexity, and number theory. A graphing
calculator is required.
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MATH305
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Math for Early Childhood Tch. I |
Y |
| Co-requisite: sophomore education block.
This course is a study of the mathematical concepts underlying
mathematics. Topics include problem solving, sets, numeration
systems, functions, number theory, rational and real numbers,
money, and time.
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MATH306
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Math for Early Childhood Tch. II |
Y |
| Prerequisite: MATH 305.
A continuation of MATH 305, this course covers topics including
geometry, angles, measurement, statistics, probability, normal
curve, and confidence intervals.
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MATH310
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Differential Equations |
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| Prerequisite: MATH 142.
This is a first course in differential equations, including such
topics as separable variables, homogeneous equations, exact equations,
integrating factors, linear and higher order differential equations.
It also includes the solution of nth order equations, and Laplace
Transform solutions, and applications. This is an alternate-year course.
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MATH315
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Math for Middle Childhood Teach and Intervention Specialist I |
Y |
| Prerequisite: EDUC 151, 161, or SPED 134
This course is a study of the mathematical concepts underlying middle
school mathematics. Topics include problem solving, numeration systems,
functions, number theory, rational and real numbers.
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MATH316
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Math for Middle Childhood Teach and Intervention Specialist II |
Y |
| Prerequisite: MATH 315.
A continuation of MATH 315, this course covers topics including
functions and graphs, probability, statistics, geometry, measurement,
calculators, and computers.
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MATH320
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Concepts & Foundations of Math |
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| Prerequisite: MATH 133 or 142.
This course is steeped in the history of mathematics, with emphasis on
the beginnings of arithmetic, algebra, geometry, and calculus.
Includes a study of number systems, sequences and patterns, the
beginning of number theory, and an in-depth study of individual
mathematicians.
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MATH330
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Mathematical Modeling |
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| Prerequisite: MATH 142.
This course provides an introduction to the mathematical modeling
process and applies this process to problems that require the student
to reason analytically, and relate mathematical concepts to everyday
activities. Emphasis will be placed on connections of mathematics to
application areas such as business, industry, economics, and physical,
biological, and social sciences. Topics may include optimization
techniques, deterministic and stochastic models, and simulations.
This is an alternate-year course.
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MATH342
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Linear Algebra |
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| Prerequisite: MATH 142, however MATH 295 is strongly recommended.
This course offers a study of matrix operations, vector spaces and
transformations and their applications to simultaneous linear
equations and geometry. This is an alternate-year course.
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MATH343
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Abstract Algebra |
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| Prerequisite: MATH 295.
This course provides an introduction to algebraic structures.
Equivalence relations, binary operations, isomorphisms, and
homomorphisms will be studied. Binary operations and their properties
in the context of groups, subgroups, rings, and fields are developed.
This is an alternate- year course.
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MATH345
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Modern Geometry |
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| Prerequisite: MATH 295.
This course offers an introduction to classical geometry and modern
systems from the viewpoint of axiomatics. Other topics include
historical foundations of Euclidean and non-Euclidean geometry.
This is an alternate-year course.
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MATH400
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Topics in Math |
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| Prerequisite: MATH 295.
This course is a flexible multiple elective as a regular offering
or for independent study. Topics include advanced calculus, number
theory, statistics, regression analysis, complex variables,
topology, etc. This is an alternate-year course.
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MATH410
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Probability and Statistics |
Y |
| Prerequisites: MATH 142 and 295.
This course offers a study of discrete and continuous random
variables and their distribution functions. Topics will include
discrete and continuous probability theory, random variables,
sampling distributions, hypothesis testing and confidence intervals.
A graphing calculator is required. This is an alternate-year course.
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MATH420
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Real Analysis |
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| Prerequisites: MATH 142 and 295
This course in real analysis is designed specifically to
present advanced calculus topics within a framework that will
help students more effectively write and analyze proofs. Students
will be able to gain a deeper understanding of the foundations of
the real number system and its axioms. Also students will study
proofs of theorems covering limits, functions, continuity, sequences,
differentiation, and the Riemann integral. This is an alternate-year
course.
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MATH495
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Directed Math Investigations |
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| Prerequisites: MATH 142 and permission of student's research mentor
The student will develop, with the aid of a research mentor selected
from one of the mathematics faculty, a question to be investigated.
The student will then do what is necessary to answer the question,
and present the results to mathematics faculty and peers. This course
is repeatable.
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MATH499
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Mathematics Internship |
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| Prerequisites: 18 hours of mathematics, minimum 2.75 GPA and a
minimum of 30 semester hours at The University of Findlay.
This course provides guided work-study experiences. Students have
the opportunity to apply their knowledge and skills in a work
environment. The internship must be approved and supervised by the
mathematics faculty. The student is also supervised on site
by a representative of the business. Up to 12 hours of internship
may count toward graduation requirements. This course is graded
S/U and repeatable up to 12 semester hours.
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