COURSE DESCRIPTIONS
760-040 PRE-ALGEBRA - 3 cr
A course for students who need a review of basic mathematics or who lack
the computational skills required for success in algebra and other
University courses. Topics include fractions, decimals, percent,
descriptive statistics, English and metric units of measure, and measures
of geometric figures. Emphasis is on applications. A brief introduction
to algebra is included at the end of the course. This course does count
toward the semester credit load and will be computed into the grade point
average. It will not be included in the 120 credits required for
graduation. It may be taken for a conventional grade or on a
satisfactory/no credit basis. Not available to students who have
satisfied the University Proficiency requirement in mathematics.
Unreq: 760-140 or 760-141
760-041 BEGINNING ALGEBRA - 3 cr
A course for those who have a sound background in basic arithmetic, but
who have not been exposed to algebra, or who need to strengthen their
basic algebra skills. Topics include properties of the real numbers,
linear and quadratic equations, linear inequalities, exponents,
polynomials, rational expressions, the straight line, and systems of
linear equations. The course counts towards the semester credit load and
will be computed into the grade point average. It will not, however, be
included in the credits necessary for graduation. It may be taken for a
conventional grade or on a satisfactory/no credit basis.
Prereq: 760-040 or equivalent demonstration of capability. Students
cannot receive credit for 760-041 if they have been waived from the
Mathematics Proficiency Requirement. Not available to students who have
satisfied the University Proficiency requirement in mathematics.
Unreq:
760-140 or 760 141.
760-111 MATHEMATICS FOR THE ELEMENTARY TEACHER I - GM - 3 cr
A study of sets, whole numbers, fundamental operations of arithmetic,
fundamental algorithms and structural properties of arithmetic, fractions,
problem solving and introduction to inductive and deductive logic
stressing the structure of mathematics. All students will prepare a
mathematics based activity and present it at an area elementary school.
For elementary education prekindergarten-6 and elementary education
elementary/middle school emphasis students.
Prereq: A grade of C or better in 760-141 or 760-141B or a waiver from
the university mathematics proficiency requirement.
760-112 MATHEMATICS FOR THE ELEMENTARY TEACHER II - 3 cr
Selected topics in logic. The computer as a useful tool in mathematical
explorations is introduced and applied throughout the course. Topics in
probability and statistics, with emphasis on descriptive techniques.
Investigations in geometric figures, measurement, construction, congruent
and similar geometric figures. An introduction to coordinate geometry.
Problem solving, discovery, and student projects are emphasized
throughout. All students will prepare a mathematics based activity and
present it at an area elementary school.
Prereq: 760-111
760-140 MATHEMATICAL IDEAS - Proficiency - 3 cr
Designed to give students a broad understanding and appreciation of
mathematics. Includes topics not usually covered in a traditional algebra
course. Topics encompass some algebra, problem solving, counting
principles, probability, statistics, and consumer mathematics. This
course is designed to meet the University Proficiency Requirement in
mathematics for those students who do not wish to take any course which
has 760-141 as a prerequisite.
Prereq: Satisfactory completion of 760-041 or demonstration of equivalent
capability. This course cannot be taken for credit after completing any
mathematics course above 141.
760-141 INTERMEDIATE ALGEBRA - Proficiency - 3 cr
Introduction to college algebra. Topics and concepts extend beyond those
taught in a beginning algebra course. A proficiency course for those who
have not had sufficient preparation in high school to allow them to take
760-143 or 760-152.
Prereq: Satisfactory completion, with a grade of C or better, of 760-041
or demonstration of equivalent capability. A student cannot receive
credit for both 760-141 and 760-141B. A student cannot receive credit for
either 760-141 or 760-141B if they have been waived from the Mathematics
Proficiency Requirement. (See University Proficiency Requirements in the
Bulletin).
760-141B INTERMEDIATE ALGEBRA - Proficiency - 3 cr
Introduction to college algebra. Topics and concepts extend beyond those
taught in a beginning algebra course. A proficiency course for those who
have not had sufficient preparation in high school to allow them to take
760-143 or 760-152.
This course covers the same material as 760-141, but meets 5 days a week.
Prereq: Satisfactory completion, with a grade of C or better, of 760-041
or demonstration of equivalent capability. A student cannot receive
credit for both 760-141 and 760-141B. A student cannot receive credit for
either 760-141 or 760-141B if they have been waived from the Mathematics
Proficiency Requirement. (See University Proficiency Requirements in the
Bulletin).
760-143 FINITE MATHEMATICS FOR BUSINESS AND SOCIAL SCIENCES - GM - 3 cr
Mathematical preparation for the understanding of various quantitative
methods in modern management and social sciences. Topics included are
sets, relations, linear functions, interest, annuities, matrix theory, the
solution of linear systems by the graphical, algebraic, Gauss-Jordan, and
inverse methods, linear programming by graphical and simplex methods,
counting and probability, and decision theory. College of Business and
Economics majors must take this course on a conventional grade basis.
Prereq: Waiver of or a grade of C or better in 760-141.
760-152 ELEMENTARY FUNCTIONS - GM - 5 cr
Review of algebraic functions, inequalities, mathematical induction,
theory of equations, exponential and logarithmic functions, circular
functions, trigonometric identities and equations, inverse trigonometric
functions, solution of triangles.
Prereq: Waiver of or a grade of C or better in 760-141.
760-177 THE LOGIC OF CHESS - 1 cr
A study of logic particularly as it is used in the game of chess and, most
particularly, in chess strategy and the end game of chess. The rules are
taught to those who are not already acquainted with the game.
Prereq: Fulfillment of University Proficiency requirement in mathematics.
760-230 INTRODUCTORY STATISTICS - 3 cr
A pre-calculus course in statistics. Descriptive statistics, probability
distributions, prediction, hypothesis testing, correlation, and
regression. This course does not count towards a mathematics major or
minor in either liberal arts or secondary education or towards a
mathematics minor in elementary education. This course may not be taken
for credit if credit has been or is being earned in any other statistics
course.
Prereq: Waiver or a grade of C or better in 760-141. Unreq: Any other
statistics course.
760-231 UNDERSTANDING PROBABILITY AND STATISTICS - GM - 3 cr
A pre-calculus course in probability and statistics. Descriptive
statistics, classical probability, probability distributions, prediction,
parametric and nonparametric hypothesis testing, correlation, regression,
and use of some statistical software. This course does not count towards
a mathematics major or minor in liberal arts or towards a mathematics
major in secondary education. This course may not be taken for credit if
credit has been or is being earned in any other statistics course.
Prereq: Completion, with a grade of C or better, of either 760-143 or
760-152. Unreq: Any other statistics course.
760-243 SHORT CALCULUS FOR BUSINESS AND SOCIAL SCIENCES - GM - 3 cr
A general survey of the Calculus. Topics covered include limits,
differentiation, max-min theory, exponential and logarithmic functions,
integration and functions of several variables. As in 760-143, business
and social science applications are stressed. College of Business and
Economics majors must take this course on a conventional grade basis.
Prereq: Completion with a grade of C or better in either of the courses
760-143 or 760-152. Unreq: 760-250. Students should check with their
major department for advice on whether to take 760-243 or 760-250.
760-250 APPLIED CALCULUS SURVEY FOR BUSINESS AND THE SOCIAL SCIENCES - GM - 5 cr
An applied calculus course covering elementary analytic geometry, limits,
differentiation, max-min theory, transcendental functions, integration,
functions of several variables, and elementary differential equations.
Some computer topics may be included. College of Business and Economics
majors must take this course on a conventional grade basis.
Prerequisite: 760-143, with a grade of C or better, or equivalent
preparation as determined by the Mathematics Department. Unreq: 760-243,
760-253.
760-253 CALCULUS AND ANALYTIC GEOMETRY I - GM - 5 cr
Review of algebraic and trigonometric functions, study of the derivative,
techniques of differentiation, continuity, applications of the derivative,
the Riemann integral, applications of the integral. Conventional grade
basis only if course is required in the College of Business for major.
Prereq: 760-152 or equivalent high school preparation as determined by
the Mathematics Department.
Unreq: 760-243 and 760-250.
760-254 CALCULUS AND ANALYTIC GEOMETRY II - 5 cr
Transcendental functions, techniques of integration, improper integrals,
Hospital's Rule and indeterminate forms, infinite series, polar
coordinates and conic sections.
Prereq: 760-250 with a grade of B or better, or 760-253.
760-255 CALCULUS AND ANALYTIC GEOMETRY III - 3 cr
Solid analytic geometry, vectors and vector functions, functions of
several variables, multiple integrals and their applications.
Prereq: 760-254.
760-280 DISCRETE MATHEMATICS - 3 cr
This course will supply a thorough grounding in the mathematical topics
which are central to the study of computer science, and which form the
basis for many modern applications of mathematics to the social sciences.
Topics covered will include sets, logic, Boolean algebra and switching
circuits, combinatorics, probability, graphs, trees, recursion, and
algorithm analysis. Expressing mathematical ideas and writing proofs will
be emphasized.
Prereq: 760-250 with a grade of B or better, or 760-253.
760-342/542 APPLIED STATISTICS - 3 cr
This course will cover the basics of statistical testing, regression
analysis, experimental design, analysis of variance, and the use of
computers to analyze statistical problems.
Prereq: 760-253 or 760-250 or cons instr.
Unreq: 230-245.
760-353 COLLEGE GEOMETRY I - 3 cr
A course following high school geometry, especially adapted to the
prospective teacher of plane geometry. The course includes the foundations
of geometry, logic and proof, finite geometries, introduction to
non-Euclidean geometry and topics in modern geometry such as
transformations, vectors, similarities and inversion.
Prereq: 760-253 and 760-280.
760-354 COLLEGE GEOMETRY II - 3 cr
A continuation of 760-353 which includes non-Euclidean geometry, synthetic
and analytic projective geometry and subgeometries of projective geometry.
Their relation to Euclidean geometry will also be considered.
Prereq: 760-353, or 760-253 and 760-280 and cons instr.
760-355/555 MATRICES AND LINEAR ALGEBRA - 3 cr
Systems of linear equations, matrices and determinants, finite dimensional
vector spaces, linear dependence, bases, dimension, linear mappings,
orthogonal bases, and eigenvector theory. Applications stressed
throughout.
Prereq: 760-250 or 760-253.
760-361 DIFFERENTIAL EQUATIONS - 3 cr
Ordinary differential equations: general theory of linear equations,
special methods for nonlinear equations including qualitative analysis and
stability, power series and numerical methods, and systems of equations.
Additional topics may include transformation methods and boundary value
problems. Applications stressed throughout.
Prereq: 760-255.
760-365/565 LINEAR PROGRAMMING - 3 cr
A study of the vector-matrix theory and computational techniques of the
simplex method, duality theorem, degeneracy problem, transportation
problems and their applications to engineering and economics. Machine
solution of large linear programming problems.
Prereq: 765-171 and 760-355.
760-375/575 DEVELOPMENT OF MATHEMATICS - 3 cr
A study of the development of mathematical notation and ideas from
prehistoric times to the present. The development and historic background
of the new math will be included.
Prereq: 760-152 or cons instr.
760-380/580 PATTERNS OF PROBLEM SOLVING - 3 cr
This course will expose students to a variety of techniques useful in
solving mathematics problems. The experiences gained from this course can
be applied to problems arising in all fields of mathematics. The student
will have the chance to see how some general techniques can be used as
tools in many areas. Homework for this course will consist mostly of
solving a large number of mathematics problems. Consent will be given to
students with substantial interest in problem solving, and adequate
preparation.
Prereq: 760-280 or cons instr.
760-415/615 MODERN ALGEBRA AND NUMBER THEORY FOR THE ELEMENTARY TEACHER - 3 cr
An introduction to modern algebra with special emphasis on the number
systems and algorithms which underlie the mathematics curriculum of the
elementary school. Topics from logic, sets, algebraic structures, and
number theory.
Prereq: 760-112 and 760-152.
Unreq: 760-452.
760-416/616 GEOMETRY FOR THE ELEMENTARY TEACHER - 3 cr
A study of the intuitive, informal geometry of sets of points in space.
Topics include elementary constructions, coordinates and graphs,
tesselations, transformations, problem solving, symmetries of polygons and
polyhedra, and use of geometry computer software.
Prereq: 760-112 and 760-152
760-417/617 THEORY OF NUMBERS - 3 cr
A study of the properties of integers, representation of integers in a
given base, properties of primes, arithmetic functions, modulo arithmetic.
Diophantine equations and quadratic residues. Consideration is also given
to some famous problems in number theory.
Prereq: 760-280 or 760-415 or cons instr.
760-431/631 TOPOLOGY - 3 cr
An introduction to point-set topology, including such topics as
topological spaces, mappings, connectedness, compactness, separation
axioms, metric spaces, complete spaces, product spaces and function spaces.
Prereq: 760-255 and either 760-280 or cons instr.
760-441/641 PROBABILITY THEORY - 4 cr
Probability spaces, discrete and continuous random variables, mathematical
exceptation, discrete and continuous distributions, moment generating
functions and functions of random variables.
Prereq: 760-255 and either 760-280 or cons instr.
760-442/642 MATHEMATICAL STATISTICS - 3 cr
This course will cover sampling distributions, the theory of estimation,
Bayesian estimation, hypothesis testing, nonparametric tests, and linear
models.
Prereq: 760-441 and either 760-355 or cons instr.
760-446/646 ACTUARIAL MATHEMATICS - 3 cr
This course will discuss the actuarial profession and the insurance
industry, provide direction to students wishing to take the first few
actuarial examinations, thoroughly cover the theory of interest, and
introduce the basic concepts of actuarial mathematics.
Prereq: 760-441 or concurrent registration
760-452/652 ALGEBRAIC STRUCTURE OF THE NUMBER SYSTEMS - 3 cr
An introduction to abstract algebra with emphasis on the development and
study of the number systems of integers, integers mod n, rationals, reals,
and complex numbers. These offer examples of and motivation for the
algebraic structures of groups, rings, integral domains, fields, and
polynomial rings.
Prereq: 760-280 and either 760-355 or 760-255.
Unreq: 760-415.
760-453/653 MODERN ALGEBRA I - 3 cr
Introduction to the theory of groups. Definition and examples of groups,
normal subgroups, quotient groups, homomorphisms, permutation groups and
other topics as time permits: Sylow's Theorem, symmetry groups, simple
groups, etc.
Prereq: 760-355 and 760-280.
760-454/654 MODERN ALGEBRA II - 3 cr
Rings, integral domains, and fields including the treatment of polynomial
and matrix rings, homomorphisms, ideals, quotient rings, unique
factorization and field extensions.<
Prereq: 760-453 or cons instr.
760-458/658 APPLIED MATHEMATICAL ANALYSIS I - 3 cr
Selected topics in ordinary differential equations: series solutions,
stability, transform methods, special functions, numerical methods, vector
differential calculus, line and surface integrals.
Prereq: 760-361.
760-459/659 PARTIAL DIFFERENTIAL EQUATIONS - 3 cr
Fourier analysis, partial differential equations and boundary value
problems, complex variables, and potential theory.
Prereq: 760-361.
760-463/663 FUNCTIONS OF A COMPLEX VARIABLE - 3 cr
A study of the algebra of complex numbers and the calculus of the
functions of a complex variable. Analytic functions, complex integrals,
calculus of residues, conformal mapping and applications are studied.
Prereq: 760-255 and 760-280.
760-464/664 ADVANCED CALCULUS I - 3 cr
Rigorous treatment of the differential and integral calculus of single
variable functions, convergence theory of numerical sequences and series,
uniform convergency theory of sequences and series of functions.
Prereq: 760-255 and 760-280.
760-465/665 ADVANCED CALCULUS II - 3 cr
Differential and integral calculus of functions of several variables,
calculus of vector valued functions, inverse and implicit function
theorems.
Prereq: 760-355 and 760-464.
760-471/671 NUMERICAL ANALYSIS I - 3 cr
Emphasis on numerical algebra. The problems of linear systems, matrix
inversion, the complete and special eigenvalue problems, solutions by
exact and iterative methods, orthogonalization, gradient methods.
Consideration of stability and elementary error analysis. Extensive use
of microcomputers and programs using a high level language, such as PASCAL.
Prereq: 765-171 and 760-355.
760-472/672 NUMERICAL ANALYSIS II - 3 cr
Emphasis on algorithmic approach to numerical analysis. Methods of
iteration, interpolation and approximation applied to numerical
differentiation and integration and to solution of nonlinear systems,
difference equations, ordinary and partial differential equations.
Consideration of rounding error and numerical stability. Extensive use of
microcomputers and programs using a high level language, such as PASCAL.
Prereq: 765-171 and 760-471.
760-490/690 WORKSHOP - 1-3 cr
Repeatable.
Prereq: Consent of instructor.
760-492 FIELD STUDY - 1-3 cr
A study for which data is obtained or observations are made outside the
regular classroom. Repeatable.
Prereq: Consent of instructor.
760-494/694 SEMINAR - 2 cr
Repeatable.
Prereq: Consent of instructor.
760-496/696 SPECIAL STUDIES - 1-3 cr
Repeatable three times maximum in 6 years.
Prereq: Consent of instructor.
760-498 INDEPENDENT STUDY - 1-3 cr
Repeatable.
Prereq: Consent of instructor and consent of department
chairperson.
760-499 PROJECT FOR MAJORS - 1 cr
This course is designed to give students experience and to improve their
skill in reading, writing, and understanding mathematics by requiring them
to research one or more mathematical topics and then write a report about
their activities and discoveries. The focus is on the learning and
communication of mathematics: how to read with understanding, write with
clarity and precision, and in the process discover how writing can aid in
understanding.
Prereq: Jr st or cons dept chp.
UW-Whitewater Undergraduate Bulletin - 1995-1997
Office of the Registrar
Formatted by Web Development Team - UWW
Last Update - kt 2/15/96
