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MATH 105
College Algebra with Analytic Geometry I
The study of real numbers and their operations and properties,
order of operations, exponents and roots, linear equations
and inequalities in one and two variables,
their systems and applications,
and introduction to functions and graphs.
Earns 3 credits.
Prerequisite: Placement scores. The grade of C or higher
in Math 105 is required to advance to Math 111 or Math 121.
Earns credit toward graduation but will not satisfy
any of the six hours of Basic Communications
(mathematics and/or Logic) in the General Education Requirements.
Credit cannot be given for both Mathematics 105 and either Math 110/110L.
Math 105 is normally offered in the Fall, Spring and Summer Sessions.
MATH 110
College Algebra with Applications
The study of real numbers and their operations and properties:
algebraic operations, linear function, linear equations, linear inequalities;
systems of equations; and introduction to functions and graphs.
Earns 3 credit.
Prerequisite: Placement scores or permission of the department;
Prerequisite/Corequisite: Math 110L.
Credit cannot be given for both Mathematics 110 and Math 105.
MATH 110L
College Algebra with Modeling
Study of algebraic operations, properties of the real number system,
data analysis, and problem solving skills
to complete a variety of assigned projects
involving linear modeling, linear programming, and regression.
Earns 1 credit; meets 3 hours per week in a laboratory setting.
Prerequisite/Corequisite: Math 110.
MATH 111
College Algebra with Analytic Geometry II
The study of polynomials, their operations and factoring,
operations with and simplifying rational expressions,
roots and radicals, quadratic equations and inequalities,
graphs of non-linear functions and the conic sections;
exponents and logarithmic functions.
Earns 3 credits.
Prerequisite: Grade C or higher in Math 105 or Math 110 and Math 110L or placement scores.
The grade of C or higher in Math 111 is required to
enroll in a higher- numbered mathematics course for which Math 111 is a prerequisite.
Credit cannot be given for both Mathematics 111 and 121.
Math 111 is normally offered in the Fall, Spring and Summer Sessions.
MATH 121
Introduction to Mathematical Modeling
and Problem Solving
The study of algebra and polynomial functions and operations
to include linear and nonlinear functions, data analysis,
basic statistics, and linear regression in applications setting.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 110 and 110L
or placement scores or permission of the department.
Recommended for non-math and non-science majors.
Credit cannot be given for both Mathematics 111 and 121.
MATH 132
College Trignometry with Analytic Geometry
College trigonometry, to include trigonometric identities
as well as the inverse trigonometric functions, parabolas,
ellipses and hyperbolas.
Earns 3 credits.
Prerequisite: Grade C or higher in Math 111 or placement scores.
Math 132 is normally offered in the Fall, Spring and Summer Sessions.
MATH 134
Probability and Statistics
Basics of probability, including counting, tree diagrams,
conditional probability, binomial and normal distributions,
mean, variance, standard deviation, and expected value.
Earns 3 credits.
Prerequisite: Grade C or higher in Math 111, Math 121, or placement scores.
Math 134 is normally offered in the Fall, Spring and Summer Sessions.
MATH 137
Pre-Calculus
A complete treatement of plane trigonometry,
including the trigonometric functions, trigonometric identities,
and solutions to and applications of right and arbitrary triangles;
properties of functions, including their composition, inversion,
and piecewise definition;
techniues of graphing functions,
including polynomial, rational, algebraic, exponential, and logarithmic functions;
and other pre-calculus topics as time permits.
Earns 3 credits.
Prerequisite: A grade of C or higher in Math 111, placement scores, or permission of the department.
Note: Credit toward graduation cannot be earned for both Math 137 and Math 132.
MATH 140
Applied Calculus
Topics include limits, derivatives, applications of the derivative,
exponential and logarithmic functions, definite integrals,
and applications of the definite integral.
Earns 3 credits.
Prerequisite: Grade of C in Math 111 or Math 121 or Math 137 or placement scores.
Note: This course cannot be used in place of Mathematics 201 for any reason,
and it is not a sufficient prerequisite for Mathematics 202.
Credit toward graduation cannot be earned for both Math 140 and 201.
Math 140 is normally offered in the Fall, Spring, and Summer Sessions.
MATH 150
Discrete Dynamical Modeling
Students will use discrete dynamical systems to mathematically model and solve real-world problems.
Earns 3 credits.
Prerequisite: Grade C or higher in Math 111, 121, or higher-numbered mathematics course than 121 or placement scores.
MATH 170
Survey of Mathematics for Early Childhood
and Elementary Teachers I
Origin and development of the real numbers.
Emphasis on the precision of mathematical language
as well as computational procedures and algorithms involving whole numbers and integers.
The study of algebraic concepts (patterns, relations, and functions)
and the role of mathematical structures in the use of equalities, equations, and inequalities
are emphasized.
Earns 3 credits.
Prerequisite: Grade of C in Math 111 or placement scores.
Mathematics 170 is for students seeking South Carolina Teacher
Certification in early childhood educatioin or elementary education
and is not open to other majors.
Math 170 is normally offered in the Fall, Spring, and Summer Sessions.
MATH 201
Calculus I
The first of a three-course sequence covering an introduction
to the analysis of real-valued functions of one variable. Topics include
the limit of a function, continuity, the derivative, and applications.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 132 or Math 137 or placement scores
or permission of the department.
Credit toward graduation cannot be earned for both Math 140 and 201.
Math 201 is normally offered in the Fall, Spring, and Summer Sessions.
MATH 201L
Calculus I Workshop
Students work collaboratively in small groups on problems that emphasize the key ideas of calculus.
The workshop will also introduce students to technology that can automate and help visualize calculus concepts.
Assessed as S (Satisfactory) or U (Unsatisfactory).
Earns 1 credit. Meets in a laboratory setting three hours per week.
Corequisite: Math 201.
Math 201 is normally offered in the Fall, Spring, and Summer Sessions.
MATH 202
Calculus II
Continuation of Calculus I,
the course covers the integral, techniques of integration,
the exponential function, the logarithm functions,
and applications.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 201 or qualifying AP score.
Math 202 is normally offered in the Fall, Spring, and Summer Sessions.
MATH 203
Calculus III
Continuation of Calculus II, the course covers sequences,
infinite series, improper integrals, and applications.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 202 or qualifying AP score.
Math 203 is normally offered in the Fall, Spring, and Summer Sessions.
MATH 212
Introduction to FORTRAN
A study of programming to include input and output procedures,
arithmetic and logical operations, DO loops,
branching procedures, arrays, declaration statements,
and subroutines.
Application of these ideas by writing, running, and correcting programs.
Earns 3 credits.
Prerequisite / Corequisite: Math 201 or permission of the department.
This course is the same as Computer Science 212.
Math 212 is normally offered in the Fall, Spring, and Summer Sessions.
MATH 222
Problem Solving in the Sciences using Software
Provides students from diverse areas of science an introduction to software
currently available to solve problems in the sciences with the aid of computers.
Packages include, but are not limited to, Maple, Matlab, SAS, and SPSS.
Skills that pertain to the practical implementation of solutions to applied problems in the use of these software packages
will be presented.
Problems from the sciences that require elementary concepts from calculus, algebra, and statistics will be considered.
Appropriate presentation of solutions containing computational and graphical components
together with documentation will be emphasized.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 201 or placement scores.
MATH 230
Discrete Mathematics I
Propositional and predicate logic, methods of proof,
sequences and summations, recursion, combinatorial circuits,
algorithm analysis, set theory, counting techniques, Boolean algebras,
and other related topics.
Earns 3 credits.
Prerequisite: eligibility to take Math 202 or permission of department.
Math 230 is normally offered in the Spring and Summer Sessions.
MATH 235
Mathematics for the Middle-School Teacher
Topics include the development of the set of real numbers,
problem solving, elementary number threory, rational and irrational numbers,
decimals, percents, relations, and functions.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 230.
Math 235 is for students seeking South Carolina Teacher Certification
in middle-school education with a mathematics area of concentration.
It is not open to other majors.
Math 235 is normally offered in the Fall.
MATH 270
Survey of Mathematics for Early Childhood
and Elementary Teachers II
Continuation of Math 170.
The study of rational numbers (fractional, decimal, and percentage forms),
of elementary concepts in probability,
of data analysis (collecting, organizing, and displaying data),
and of appropriate statistical methods
are the major componenets of the course
with additional emphasis on problem solving.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 170 or 201.
Mathematics 270 is for students seeking
South Carolina Teacher Certification in early childhood education
and elementary education and is not open to other majors.
Math 270 is normally offered in the Spring and Summer Sessions.
MATH 301
Ordinary Differential Equations
General first-order differential equations and second-order linear equations
with applications. Introduction to power series solutions and numerical methods.
Earns 3 credits.
Prerequisite: grade of C or higher in Math 202 or permission of the department.
Math 301 is normally offered in the Spring.
MATH 304
Linear Algebra
Introduction to the algebra of finite-dimensional vector spaces.
Topics covered include finite-dimensional vector spaces,
matrices, systems of linear equations,
determinants, change of basis, eigenvalues, and eigenvectors.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 202.
Math 304 is normally offered in the Fall, Spring and Summer Sessions.
MATH 305
Linear Programming
Introduction to the theoretical, computational and applied aspects of the subject.
Topics covered include the mathematical model of linear programming,
convex sets and linear inequalities,
the simplex method, duality, the revised simplex method,
and several of the many applications.
Computer solutions for several problems will be required.
Earns 3 credits.
Prerequisite: Math 304 and one course from Math 212 or Computer Science 226.
Math 305 is normally offered in the Spring.
MATH 306
Multivariable Calculus
Vectors and vector calculus; the calculus of real-valued functions of several variables;
topics include partial derivatives, gradients,
extreme problems, multiple integrals,
iterated integrals, line integrals, and Green's Theorem, as time permits
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 203 or permission of the department.
Math 304 is recommended.
A student with a grade of B or higher in Math 202 may, with the permission of the department,
take Math 203 concurrently with with Math 306 instead of as a prerequisite.
Math 306 is normally offered in the Fall and Spring.
MATH 310
Mathematical Models and Applications
Introduction to the theory and practice of building and studying
mathematical models for various real world situations
that may be encountered in the physical, social, life,
and management sciences.
Earns 3 credits.
Prerequisite: Math 202.
Math 310 is normally offered during alternating Spring semesters.
MATH 311
Transition to Higher Mathematics
This course is principally devoted to understanding and writing mathematical proofs
with correctness and style.
Elements of mathematical logic
such as Boolean logical operators, quantifiers, direct proof, proof by contrapositive,
proof by contradiction, and proof by induction, are presented.
Other material consists of topics such as elementary set theory, elementary number theory,
relations and equivalence relations, equivalence classes,
the concept of a function in its full generality, and the cardinality of sets.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 203 or qualfiying AP score and
grade of C or higher in either Math 230 or Math 304.
Math 311 is normally offered in the Fall and Spring semesters.
MATH 312
Probability and Statistics for Science and Math
Descriptive statistics, elementary probability,
random variables and their distributions,
expected values and variances, sampling techniques,
estimation procedures, hypothesis testing, decision making,
and related topics from inferential statistics.
Earns 3 credits.
Prerequisite: Math 230 or 134 and 202 or permission of the department.
Math 312 is normally offered in the Fall.
MATH 315
History of Mathematics
Origins of mathematics and the development of
Egyptian, Babylonian, Pythagorean, Greek, Chinese and Indian,
and Arabic mathematics as well as
mathematics of the Middle Ages and modern mathematics.
The development of the calculus, geometry, abstract algebra,
analysis, mathematical notation, and basic mathematical concepts
will be emphasized as well as the personalities of mathematics
and their contributions to the subject.
Earns 3 credits.
Prerequisite: Math 202.
Math 315 is normally offered in the Summer.
MATH 317
Number Theory
Introduction to the elementary aspects of the subject
with topics including divisibility, prime numbers,
congruencies, Diophantine equations,
residues of power, quadratic residues, and number theoretic functions.
Earns 3 credits.
Prerequisite or Corequisite: Math 202.
Math 317 is normally offered during alternating Fall semesters.
MATH 318
Combinatorics and Graph Theory
In combinatorial theory the course will discuss the basic
counting principles, arrangements, distributions of objects, combinations,
and permutations. Considerable attention will be given to ordinary and
exponential generating functions. Also to be covered will be the standard
counting techniques of recurrence, inclusion-exclusion, Burnside's Theorem,
and Polya's Enumeration Formula. In graph theory the course will cover
the basic theory of graphs. Also covered will be graph isomorphism, planar
graphs, Euler and Hamiltonian circuits, trees, and graph colorings.
Earns 3 credits.
Prerequisite: Math 203.
Math 318 is offered as needed.
MATH 330
Special Topics in Mathematics I
In-depth study of an area of interest in mathematics.
Different areas of study will be offered.
Earns 3 credits.
Prerequisite: Permission of the department.
MATH 332
Discrete Mathematics II
Major topics covered include sums, recurrences, integer functions
(mod, floor, ceiling), elementary number theory,
binomial coefficients, discrete probability, and graphs.
Additional topics may be chosen from
generating functions (solving recurrences, convolutions),
special numbers (e.g. Stirling, Bernoulli, Fibonacci),
and asymptotics (O notation, manipulation, and summation formulas).
Earns 3 credits.
Prerequisite: Math 202 and Math 230.
Math 332 is offered as needed.
MATH 345
Plane Geometry
Topics include the elements of plane geometry, up to and including congruence,
parallelism and similarity, areas and volume, ruler and compass constructions,
other geometries, and transformations. This course includes topics from the history
of mathematics.
Earns 3 credits.
Prerequisite: Math 230 or 311 or 370 or permission of the department
Math 345 is normally offered in the Fall.
MATH 370
Intuitive Geometry
Continuation of Mathematics 270.
Intuitive development of geometric figures in plane and in space.
Consideration of congruence, parallelism, perpendicularity,
symmetry, and measurement.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 202 or 270.
Mathematics 370 is for students seeking South Carolina Teacher
Certification in early childhood education and elementary education
and is not open to other majors.
Math 370 is normally offered in the Fall, Spring, and Summer Sessions.
MATH 375
Fundamental Skills of Mathematics
An apprenticeship offered in the freshman mathematics program.
Each student will work under careful supervision of a mathematics faculty member
who will assign outside reading as well as evaluate performance
in both oral and written examinations.
Earns 3 credits.
Math 375 is normally offered in the Spring.
MATH 405
Abstract Algebra
Introduction to the terminology and basic properties of
algebraic structures, such as groups, rings, and fields.
This couse includes topics from the history of mathematics.
Earns 3 credits.
Prerequisite: Math 311 or both Math 306 and grade of C or higher in Math 230
or permission of the department.
Math 405 is normally offered in the Fall.
MATH 407
Real Analysis I
At the intermediate-level covers the following topics:
Cauchy sequences and the construction of real numbers,
sequences and series of real numbers, the real line as a metric space,
continuity and uniform continuity,
derivatives of real-valued functions of one real variable,
spaces of continuous functions, Lebesgue measure and the Lebesgue integral,
and Fourier series.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 311 or permission of the department.
Math 407 is normally offered in the Spring.
MATH 409
Complex Analysis I
Complex numbers and functions, derivatives and integrals
of complex functions, the Cauchy integral theorem and its consequences,
residue theory, and conformal mapping.
Additional topics as time permits.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 311 or permission of the department.
Math 409 is normally offered during alternating Spring semesters.
MATH 411
Topology I
Introduction to Point Set Topology including discussion
of limit points, continuity, compactness, connectedness, metric spaces,
locally compact spaces, locally connected spaces,
and the Baire Category Theorem.
Earns 3 credits.
Prerequisite: Grade of C or higher in Math 311 or permission of the department.
Math 411 is offered as needed.
MATH 420
Mathematical Probability
Introduction to probability theory to include the topics
of probability spaces, conditional probability and independence,
combinatorial theory, random variables,
special discrete and continuous distributions, expected value,
jointly distributed random variables, order statistics,
moment generating functions and characteristic functions,
Law of Large Numbers, and the Central Limit Theorem.
Earns 3 credits.
Prerequisite: Math 306 and grade of C or higher in Math 230 or 311.
Math 420 is normally offered during alternating Spring semesters.
MATH 425
Nonlinear Optimization
Nonlinear optimization topics including derivatives, partial derivatives,
one-dimensional search techniques, multi-dimensional search techniques,
both unconstrained and constrained optimization techniques
including LaGrange Multipliers and Kuhn- Tucker Conditions,
and specialized techniques. Emphasis is on optimization theory,
numerical algorithms with error analysis,
and solving applied problems.
Earns 3 credits.
Prerequisite: Math 306.
Math 422 is normally offered during alternating Spring semesters.
MATH 425
Numerical Analysis
Techniques and types of errors
involved in computer applications to mathematical problems.
Topics include techniques for solving equations,
systems of equations, and problems in integral calculus.
Computer solutions for several problems will be required.
Earns 3 credits.
Prerequisite: Math 203 and one of Math 212 or Computer Science 220.
This course is the same as Computer Science 425.
Math 425 is normally offered in the Fall.
MATH 430
Special Topics in Mathematics II
In-depth study of an area of interest in mathematics.
Different areas of study will be offered.
Earns 3 credits.
Prerequisite: Permission of the department.
MATH 497
Special Studies
Open only to juniors or seniors with a GPA
of 3.0 or higher in their major courses.
A maximum of 3 semester hours may be earned.
All individual research projects are reviewed
by three faculty members from two different disciplines.
May be taken for credit (3 hours) towards the Honors degree by special arrangment.
Earns 1, 2, or 3 credits.
Prerequisite: Permission of department. Open only to juniors or seniors
with a GPA of 3.0 or higher in their major courses.
May be taken for credit (3 hours) towards the Honors degree by special arrangement.
Math 497 is normally offered in the Spring.
MATH 499
Mathematics Capstone Course
This course will include review and integration of the concepts
from the core courses required for the mathematics major
as well as an in-depth exploration in some advanced mathematics area.
Requirements will include the completion an internal exam
and completion of a capstone mathematics project
sponsored by a faculty member and approved by the
Department of Mathematics.
Earns 3 credits.
Prerequisite: A grade of C or higher in Math 230 or 11,
at least 24 hours of mathematics required for the major; and permission of the department;
should be taken the semester before graduation.
Math 499 is normally offered during the Fall and Spring Semesters.
MATH 502
Geometry for Teachers
Accelerated training in methods of proof, Euclidean, non-Euclidean,
transformational, and finite geometries, plus constructions.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department.
With written departmental approval,
seniors may take courses numbers 500 599
for either undergraduate or graduate credit.
Designation of credit as undergrduate or graduate must be made at registration.
Freshmen, sophomores and juniors may not take 500- level courses
Math 502 is normally offered in the Summer.
It will occasionally be offered in the Fall and/or Spring Semester.
MATH 508
Linear Algebra for Teachers
Matrices, vector spaces, and linear transformations.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department.
With written departmental approval,
seniors may take courses numbers 500 599
for either undergraduate or graduate credit.
Designation of credit as undergrduate or graduate must be made at registration.
Freshmen, sophomores and juniors may not take 500- level courses
Math 508 is normally offered in the Summer.
It will occasionally be offered in the Fall and/or Spring Semester.
MATH 509
Abstract Algebra for Teachers
Review of real and complex numbers, sets,
functions, induction, and well ordering.
Introduction to semigroups, groups, rings, homomorphism, and isomorphism.
Elementary theory of groups, elementary theory of rings.
As time permits, topics will include factor groups, quotient rings,
cyclic groups, finite groups, abelian groups, polynomial rings,
division rings, and fields.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department.
With written departmental approval,
seniors may take courses numbers 500 599
for either undergraduate or graduate credit.
Designation of credit as undergrduate or graduate must be made at registration.
Freshmen, sophomores and juniors may not take 500- level courses
Math 509 is normally offered in the Summer.
MATH 511
Discrete Mathematics for Teachers
Study of propositional and predicate logic, set theory,
combinatorics and finite probability, relations, functions,
Boolean Algebras, simplification of circuits,
and other selected topics in discrete mathematics.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department.
With written departmental approval,
seniors may take courses numbers 500 599
for either undergraduate or graduate credit.
Designation of credit as undergrduate or graduate must be made at registration.
Freshmen, sophomores and juniors may not take 500- level courses
Math 511 is normally offered in the Summer.
It will occasionally be offered in the Fall and/or Spring Semester.
MATH 515
History of Mathematics for Teachers
General survey of the history of mathematics
with special emphasis on topics that are encountered
in high school or college (undergraduate) mathematics courses.
The course will cover the mathematics of ancient times,
beginning with the Egyptians, Babylonians, and Greeks,
and continue to the present.
Particular attention will be given to the contributions
of selected mathematicians.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department.
With written departmental approval,
seniors may take courses numbers 500 599
for either undergraduate or graduate credit.
Designation of credit as undergrduate or graduate must be made at registration.
Freshmen, sophomores and juniors may not take 500- level courses
Math 515 is normally offered in the Summer.
It will occasionally be offered in the Fall and/or Spring Semester.
MATH 516
Calculus for Teachers
Full development of limits, derivatives, and integrals.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department.
With written departmental approval,
seniors may take courses numbers 500 599
for either undergraduate or graduate credit.
Designation of credit as undergrduate or graduate must be made at registration.
Freshmen, sophomores and juniors may not take 500- level courses
Math 516 is normally offered in the Summer.
It will occasionally be offered in the Fall and/or Spring Semester.
MATH 517
Abstract Algebra and Linear Algebra for Teachers
This course will examine the basic concepts and results
of abstract algebra and linear algebra.
The course will address such topics as the division algorithm,
greatest common divisor, least common multiple, prime factorization,
modular arithmetic, simultaneous equations, matrices,
binary operations, groups, examples of groups, group properties,
subgroups, finite groups, permutation groups, Lagrange's Theorem,
linear spaces, the span and independence of a set of vectors, and basis.
Applications will be given throughout.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department.
With written departmental approval,
seniors may take courses numbers 500 599
for either undergraduate or graduate credit.
Designation of credit as undergrduate or graduate must be made at registration.
Freshmen, sophomores and juniors may not take 500- level courses
Math 517 is normally offered in the Summer.
It will occasionally be offered in the Fall and/or Spring Semester.
MATH 518
Probability and Statistics for Teachers
Survey of areas of probability theory to include selected topics from sample spaces;
combinatorial theory; random variables and their distributions;
conditional probability; joint and marginal distributions;
expected values and variances; and the Central Limit Theorem.
Survey of descriptive and inferential statistics
to include selected topics from the use of tables, graphs, and formulas;
sampling techniques; estimation and confidence intervals;
hypothesis testing; decision making; and correlation and regression.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department.
With written departmental approval,
seniors may take courses numbers 500 599
for either undergraduate or graduate credit.
Designation of credit as undergrduate or graduate must be made at registration.
Freshmen, sophomores and juniors may not take 500- level courses
Math 518 is normally offered in the Summer.
It will occasionally be offered in the Fall and/or Spring Semester.
MATH 519
Logic and Geometry for Teachers
This course will include a discussion of mathematical language,
logic, and sets; an introduction to Euclid and the Elements;
axiomatic systems, modern geometry;
the postulates of Hilbert, Birkhoff, and School Mathematics Study Group(SMSG);
neutral geometry, i.e., geometry based on Euclid's first four postulates;
the basics for non-Euclidean geometry
including models for hyperbolic geometry and elliptic geometry.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department.
With written departmental approval,
seniors may take courses numbers 500 599
for either undergraduate or graduate credit.
Designation of credit as undergrduate or graduate must be made at registration.
Freshmen, sophomores and juniors may not take 500- level courses
Math 519 is normally offered in the Summer.
It will occasionally be offered in the Fall and/or Spring Semester.
MATH 520
AP Calculus AB Certification for Teachers
Study of the topics covered in the AP Calculus AB course
and how a teacher should cover these topics.
There are essentially 6 main areas:
function theory, definitions of limits and derivatives,
differentiation techniques, applications of the derivative,
the definite integral and techniques of integration,
and applications of the integral.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification
in mathematics or science,
or senior status as a mathematics major,
or permission of department,
or permission of the State Department of Education.
Math 520 is normally offered in the Summer.
MATH 521
AP Calculus BC Certification for Teachers
Study of topics covered in the AP Calculus BC course
and how a teacher should cover these topics.
In addition to all subject matter covered in Mathematics 520,
which will be reviewed during the course,
the following topics will be emphasized:
the calculus of vector functions and parametrically defined functions;
polar coordinates;
integration by parts, partial fractions and trigonometric substitutions;
L'Hopital's rule; improper integrals;
convergences of sequences of numbers and functions;
series of real numbers; power series;
Taylor polynomials and error approximation.
Earns 3 credits.
Prerequisite: 520 or equivalent,
or permission of State Department of Education,
or permission of department.
Math 521 is normally offered in the Summer.
It will occasionally be offered in the Fall and/or Spring Semester.
MATH 530
Special Topics in Mathematics for Teachers
A topic of interest to secondary mathematics teachers
will be logically and rigorously covered.
Earns 3 credits.
Prerequisite: Bachelor's degree plus eligibility for certification in mathematics or science,
or senior status as a mathematics major,
or permission of the department.
Math 530 is normally offered in the Summer.
MATH 799
Mathematics: Seminar Practicum Capstone
This course is designed to integrate and extend the subject matter
covered in the preceding four specialty area courses.
A special course will involve the identification and completion
of one or more projects involving the specialty and education core
and/or exploration of a related topic.
Earns 3 credits.
Prerequisite: 12 hours in specialty core;
Corequisite: Education 768.
Math 799 is normally offered in the Summer.
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