BSU Catalog Home | Math Program | All-University Courses and Descriptions

(MATH) College-Program: 17-10 Check with department for quarter when quarter courses are offered. Read each course description for prerequisites.

**106 MATHEMATICS FOR ELEMENTARY TEACHERS
I** (4 credits). The first of three courses providing the
background for teaching contemporary mathematics in the elementary
school. The use of mathematics manipulatives for modeling the basic
operations will be emphasized. Set theory; numeration; and the
systems of whole numbers, integers and rational numbers will be
considered. Prerequisite: Elementary education major or consent of
instructor.

**107 MATHEMATICS FOR ELEMENTARY TEACHERS II
**(4 credits). One of three courses providing the background for
teaching contemporary mathematics in the elementary school. The use
of mathematics manipulatives for modeling the basic operations for
the rational and real number systems will be emphasized. Ratio and
proportion, percentiles, elementary functions and solutions of linear
equations will be considered. Prerequisite: MATH
106.

**108 GEOMETRY FOR ELEMENTARY TEACHERS** (4
credits). Provides background for teaching Geometry in the elementary
classroom. Topics to be considered include geometric shapes,
measurement, triangle congruence and similarity, coordinate geometry,
and transformational geometry. Prerequisite: MATH
106. NOTE: MATH 107 is not a
prerequisite.

**112 BEGINNING COLLEGE ALGEBRA** (4
credits). Algebraic concepts including linear, quadratic, and
absolute value equations and inequalities; rational inequalities,
complex numbers, graphs of lines, parabolas, and other relations;
functions. Prerequisites: Two years of high school algebra and an
appropriate score on the Mathematics Placement Test or completion of
MATH 080 with a grade of C or better. (Applies
to Liberal Education Area II
).

**113 COLLEGE ALGEBRA** (4 credits).
Functions including polynomial, rational, inverse, exponential, and
logarithmic functions; systems of equations and inequalities,
matrices, sequences and series, binomial theorem, permutations and
combinations. Prerequisites: Three years of high school mathematics
(including two years of algebra) and an appropriate score on the
Mathematics Placement test or successful completion of MATH
112. (Applies to Liberal Education Area
II ).

**114 MODERN TRIGONOMETRY** (4 credits).
Trigonometric functions, identities, equations and applications.
Prerequisite: MATH 113. (Applies to Liberal
Education Area II ).

**141 PRE-CALCULUS MATHEMATICS I** (5
credits). The first of a two course sequence dealing with algebra,
functions (including polynomial, rational, exponential and
logarithmic), and discrete algebra topics. A graphics calculator is
required. Prerequisites: Three years of high school mathematics
(including two years of algebra) and an appropriate score on the
Mathematics Placement Test or completion of MATH
112 with a grade of B or better.

**142 PRE-CALCULUS MATHEMATICS II **(5
credits). The second of a two-course sequence dealing with
trigonometric functions, inverse trigonometric functions, identities,
applications of trigonometry, parametric equations, systems of linear
and non-linear equations, and matrices. A graphics calculator is
required. Prerequisites: Successful completion of
MATH 141. A half year of trigonometry is strongly
recommended.

**145, 146 ACCELERATED
PRE-CALCULUS MATHEMATICS A,B** (5,2 credits). Concurrent enrollment
is required for these two courses which are offered fall quarter
only. The topics are the same as those listed for MATH
141, 142 and a graphics calculator is
required. Prerequisites: Three years of high school mathematics
(including two years of high school algebra and a half year of
trigonometry) and an appropriate score on the Mathematics Placement
Test. NOTE: Not open to students who are concurrently enrolled in or
who have successfully completed MATH 113,
114, 141 or 142.
(Applies to Liberal Education Area
II ).

**211 CONCEPTS OF CALCULUS I** (4 credits).
A broad overview of both differential and integral calculus with less
rigor than MATH 241-242.
For students majoring in non-mathematically oriented disciplines
needing a survey of calculus. Prerequisite: A grade of C or better in
MATH 113 or MATH 142
or MATH 145 and 146.
(Not open to majors in mathematics, computer science, physics, or
chemistry, or students who have successfully completed 241,
242 or equivalent.) (Applies to Liberal
Education Area II ).

**212 CONCEPTS OF CALCULUS II **(4
credits). Applications of differential and integral calculus for
students majoring in non-mathematically oriented disciplines.
Applications to problems in the areas of business, life, and
behavioral sciences. Prerequisites: Successful completion of
MATH 211. (Applies to Liberal Education Area
II ).

**213 CONCEPTS OF CALCULUS III** (4
credits). Investigates Taylor series, approximations using Taylor
series, indeterminate forms and L'Hospitals Rule; numerical
techniques, root approximations, interpolating polynomials, numerical
integration; discrete and continuous probability functions,
simulation and applications. Prerequisites: Successful completion of
MATH 212.

**241 CALCULUS I** (5 credits). Limits,
differentiation and integration of algebraic and trigonometric
functions, applications of the derivative, and curve sketching. A
graphics calculator is required. An appropriate score on the
Mathematics Placement Test or a grade of C or better in MATH
141 and 142, or MATH
145 and 146. (Applies to Liberal Education
Area II ).

**242 CALCULUS II** (5 credits).
Differentiation and integration of transcendental functions,
techniques of integration, applications of integration. A graphics
calculator is required. Prerequisite: Successful completion of
MATH 241. (Applies to Liberal Education
Area II ).

**243 CALCULUS III** (5 credits).
Parametric equations, polar coordinates, analytic geometry, infinite
sequences and series. A graphics calculator is required.
Prerequisites: Successful completion of MATH
242. (Applies to Liberal Education Area
II ).

**244 CALCULUS IV** (5 credits). Three
dimensional analytic geometry, spherical, and cylindrical coordinate
systems, vectors, partial derivatives, and multiple integrals. A
graphics calculator is required. Prerequisites: Successful completion
of MATH 243. (Applies to Liberal Education
Area II ).

**245 DIFFERENTIAL EQUATIONS** (5 credits).
Ordinary differential equations including first order, second order
linear, series solutions, Laplace transformations, existence and
uniqueness theory, applications. Prerequisite: Successful Completion
of MATH 243. (Applies to Liberal Education
Area II ).

**260 APPLIED STATISTICS I** (4 credits). A
nontheoretical introduction to statistics with an emphasis on
applications in a variety of disciplines. Topics include measures of
central tendency, position and dispersion; basic probability;
hypothesis testing; estimation; analysis of variance; linear
correlation and regression. Prerequisite: MATH
113 or 141, or 145
and 146.

**275 APPLIED MATHEMATICS: FOR BUSINESS,
ECONOMICS, TECHNOLOGY, LIFE SCIENCES, AND SOCIAL SCIENCES **(4
credits). Investigates linear models, matrices, non-linear models,
probabilistic models, linear programming, and stochastic processes
and their applications. Prerequisites: MATH
113 or MATH 141.

**300 MATH MODELS, GAMES AND ACTIVITIES FOR
THE PRIMARY GRADES** (2 credits). For teachers of grades K-3.
Mathematical background including teaching-aids, games, projects and
activities that relate to the primary level will be presented. The
basic mathematical operations will be presented from a "concrete"
standpoint.

**301 MATH MODELS, GAMES AND ACTIVITIES FOR
THE INTERMEDIATE GRADES** (2 credits). For teachers of grades 3-6.
Mathematical background including teaching-aids, games, projects and
activities that relate to the intermediate level will be presented.
The basic mathematical operations will be presented from a "concrete"
standpoint.

**302 MATH MODELS, GAMES, AND ACTIVITIES FOR
THE ELEMENTARY CLASSROOM** (4 credits). An intensive introduction
to activities, models, projects, and ideas needed to effectively
teach using contemporary text materials. Materials usable at every
ability level will be included. Prerequisite: Teaching experience or
consent of instructor.

**304 MATH ACTIVITIES FOR THE JUNIOR
HIGH/MIDDLE SCHOOL CLASSROOM** (4 credits). Presents and analyzes
mathematical activities, models, games, and related background
material that can be used to supplement textbook instruction.

**306 MATH ACTIVITIES FOR THE SECONDARY
CLASSROOM **(4 credits). Presents and analyzes mathematical
activities, games, models, and related background material that can
be used to supplement textbook instruction.

**307 NUMBER CONCEPTS FOR ELEMENTARY
TEACHERS** w (4 credits). Designed to provide the student with a
background in special number concepts which are pertinent to
elementary school mathematics. Topics include: properties of
integers, prime and composite numbers, GCD's, LCM's, the Euclidean
Algorithm, Famous Unsolved Problems, and congruences. Prerequisite:
MATH 107 or equivalent.

**308 MATHEMATICAL FOUNDATIONS FOR ELEMENTARY
TEACHERS** w (4 credits). Designed to provide the elementary
teacher with a background in the foundations of mathematics. Content
includes: finite mathematical systems; modular arithmetic; elementary
statistics; probability and elementary algebraic structures.
Prerequisite: MATH 107 or equivalent.

**310 PROBLEM SOLVING AND CALCULATORS IN THE
ELEMENTARY CLASSROOM** w (4 credits). An analysis of problem
solving strategies and the use of calculators in the elementary
classroom. Prerequisite: MATH 106 or
equivalent.

**320 FOUNDATIONS OF MATHEMATICS** (4
credits). Symbolic logic, quantifiers, predicate calculus, methods of
proof, set theory, relations and functions. Prerequisites: sophomore
status and MATH 242, or consent of the
instructor.

**322 MATHEMATICAL CONCEPTS FOR MIDDLE SCHOOL
/ JUNIOR HIGH TEACHERS** (4 credits). A study of mathematics
concepts pertaining to middle school or junior high based on the
current Curriculum and Evaluation Standards established by the
National Council of Teachers of Mathematics. Prerequisite
MATH 320.

**326 DISCRETE MATHEMATICS** (4 credits). A
variety of topics that have applications in mathematical modeling and
in computer science. Topics include: graphs, trees, networks,
mathematical induction, recurrence relations, and complexity of
alogrithms. Prerequisites: MATH 212 or
242.

**327 MATHEMATICAL PROBLEM SOLVING** (4
credits). Investigation of problems and the process of problem
solving across a variety of mathematical areas. Development and
application of strategies used to solve problems with emphasis on
multistep and nonroutine problems. Application of the process of
mathematical modeling to real world problem situations.
Prerequisites: MATH 320 or MATH
326.( Prerequisites updated from 96-98 hard copy catalog.)

**332, 333 LINEAR ALGEBRA
I, II** (4,4 credits). Systems of linear equations, matrices and
determinants, vector spaces; linear transformations, eigenvalues and
eigenvectors, inner product spaces, canonical forms, and
applications. Prerequisites: MATH 243 and
MATH 320 or 326.

**338 MATRIX ALGEBRA **(4 credits).
Operations with matrices; determinants; systems of equations;
orthogonalization, canonical forms. (May not be offered every year.)
Prerequisite: MATH 243 and either MATH
320 or 326.

**340 INTRODUCTION TO FRACTALS &
CHAOS** (4 credits). An introduction into the topics of fractal
geometry, chaos, and dynamic mathematical systems. Topics included
are iteration, fractals and fractal dimension, iterated function
systems, Julia set, Mandelbrot set, bifurcation, and chaos.
Prerequisites: MATH 243, MATH
320.

**347 COMPLEX VARIABLES I** w (4 credits).
Complex number system, polar form, analytic functions,
differentiation and integration, series, and residues. Prerequisites:
MATH 244 and 320.

**348 COMPLEX VARIABLES II** (4 credits).
Theory of residues, conformal mapping, Schwarz-Christoffel
transformations, and applications. (May not be offered every year.)
Prerequisites: MATH 347.

**352 ADVANCED EUCLIDEAN GEOMETRY** (4
credits). A rigorous examination of secondary school geometry, the
interaction of definitions, postulates, and theorems in the study of
the structure of geometries. Prerequisite: MATH
320.

**361 PROBABILITY THEORY** (4 credits).
Probability of finite sample spaces; discrete and continuous random
variables; Chebyshev's inequality; independence.
Prerequisites: MATH 243 and either MATH
320 or 326.

**362 MATHEMATICAL STATISTICS** (4
credits). Moment generating functions; the Law of Large Numbers;
Central Limit Theorems; sampling distributions; estimations of
parameters; testing hypotheses. Prerequisite: MATH
361 and MATH 244.

**370 MATHEMATICS OF FINANCE **(4 credits).
A thorough and modern treatment of mathematics of investment,
incorporating both theory and applications. Topics to be converted
are the measurement of interest; annuities; yield rates; amortization
schedules and sinking funds; and bonds and other securities.
Prerequisites: MATH 212 or MATH
242.

**371 NUMERICAL ANALYSIS I** (4 credits).
Root finding techniques, fixed point iteration, polynomial
interpolation, solution of systems of equations, numerical
integration and differentiation. Prerequisites: MATH
243 and programming competency.

**372 NUMERICAL ANALYSIS II** (4 credits).
A continued study of numerical methods, numerical solutions of
differential and partial differential equations, eigenvalues and
eigenvectors. (May not be offered every year.) Prerequisites:
MATH 244 and 371 or
consent of instructor.

**376 LINEAR PROGRAMMING** (4 credits).
Mathematical models applicable to linear programming; systems of
linear equations and inequalities; graphical methods; the simplex
method; game theory. (May not be offered every year.) Prerequisite:
MATH 211 or MATH 241.
NOTE: Not open to students who have taken CS 330.

**381 HISTORY OF MATHEMATICS** (3 credits).
Historical presentation of the source and growth of mathematical
knowledge and principles. (May not be offered every year.)
Prerequisite: Junior or senior status and consent of the
instructor.

**411 ACTUARIAL MATHEMATICS I** (2
credits). Investigation of topics from calculus and linear algebra
that are covered on the Course 100 examination, as jointly
administered by the Society of Actuaries and the Casualty Actuarial
Society. Prerequisites: MATH 244, MATH
332 .

**412 ACTUARIAL MATHEMATICS II** (2
credits). Investigation of topics from probability and statistics
that are covered on the Course 110 examination, as jointly
administered by the Society of Actuaries and the Casualty Actuarial
Society. Prerequisites: MATH 362.

**423 Set Theory** w (4 credits).
Investigation of the various types of sets including: finite and
infinite, countable and uncountable, and well-ordered; cardinal
numbers; Peano's axioms and Zermelo-Fraenkel's axioms; the Axiom of
Choice and Russell's Paradox. Prerequisite: MATH
320.

**425 NUMBER THEORY** w (4 credits).
Elementary properties of integers; prime and composite numbers; the
Euclidean Algorithm; congruences; finite algebras; Diophantine
equations; quadratic reciprocity; numerical functions. Prerequisite:
MATH 320.

**431 ABSTRACT ALGEBRA FOR SECONDARY
TEACHERS** w (4 credits). For secondary school mathematics
teachers. Designed to deepen the algebraic background of the student
through the study of the real number system, applications of
deduction, functional concepts, and other concepts of an algebraic
nature. Prerequisite: MATH 320, MATH
332.

**434 ABSTRACT ALGEBRA** (4 credits). A
study of abstract algebraic systems with emphasis on rings, integral
domains, and fields. Not open to students who have taken
MATH 436. Prerequisite: MATH 320.

**435, 436 MODERN ALGEBRA
I, II **(4,4 credits). Theory of groups, homomorphisms, rings,
integral domains and fields, polynomial rings, algebraic field
extensions, and other topics in abstract algebra. (May not be offered
every year.) Prerequisite: MATH 320, MATH
332.

**441, 442 ADVANCED
CALCULUS I, II** (4,4 credits). Functions, sequences, limits,
properties of continuous functions, mean value theorems, the definite
integral, improper integrals, infinite series, convergence, power
series. (May not be offered every year.) Prerequisites: MATH
244 and 320.

**451 GEOMETRY OF CURVES AND SURFACES **(4
credits). An introduction to the geometry of hypersurfaces with the
goal of introducing the basic notions of differential geometry
through examples of curves and surfaces. These include vector fields,
orientation, Gauss map, geodesics, curvature, surface area and
volume, Stoke's Theorem and the Gauss-Bonnet Theorem. Prerequisites:
MATH 244 and MATH 332
or consent of instructor.

**475 METHODS OF OPTIMIZATION** (4
credits). N-dimensional vector space, convexity, classical methods of
optimization of functions of one or more variables, global and local
extremes, various search techniques for functions of several
variables. (May not be offered every year.) Prerequisites: MATH
332, programming competency, and MATH 244
or consent of instructor.

**489 SEMINAR IN MATHEMATICS **(1-4
credits). Lecture, group discussion, readings in an area or field of
mathematics. Prerequisite: MATH 320 or consent
of instructor.

Math Program | All-University Courses and Descriptions

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