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

UNDERGRADUATE COURSE OFFERINGS

College-Program Codes: 7-10. Check with department for semester when these courses are offered. Read each course description for prerequisites

**1011 MATHEMATICS FOR ELEMENTARY SCHOOL
TEACHERS I** (3 credits) This course meets the new BOT fundamental
topics in arithmetic competencies. These topics include addition,
subtraction, multiplication, and division of whole numbers; number
theory related to fractions; fractions; decimals; and integers. This
is the first of two mathematics courses providing the background for
teaching in the elementary school. Emphasizes the use of mathematics
manipulatives for modeling the basic operations. Prerequisite:
Elementary education major or consent of instructor.

**1012 MATHEMATICS FOR THE MINNESOTA
GRADUATION STANDARDS-ELEMENTARY** (1 credit) A second mathematics
course for elementary education majors. Provides background in
mathematics which is essential for preparing students to meet the
Minnesota Graduation Standards. Real numbers, ratio and proportion,
percentiles, and probability and statistics will be considered.
Prerequisite: Elementary education major or consent of the
instructor. Note: Course should be taken concurrently with or
subsequent to MATH 1011.

**1013 MATHEMATICS FOR ELEMENTARY SCHOOL
TEACHERS II** (3 credits) This course meets the new BOT
introduction to higher mathematics competencies. These topics include
geometry, discrete mathematics, probability, and statistics. This is
the second of two mathematics courses providing the background for
teaching in the elementary school. Emphasizes the use of mathematics
manipulatives for modeling the basic concepts. Prerequisite:
MATH 1011.

**1100
ALGEBRA AND MATHEMATICAL REASONING** (4 credits) Algebraic concepts, including
linear and quadratic equations and functions. Descriptive statistics; an introduction
to probability and inferential statistics. Mathematical reasoning as applied
to a selection of topics, which may include the mathematics of social choice,
the mathematics of management, geometry, and problem solving. A graphing calculator
is required. Not open to students who have completed MATH
1110. Prerequisites: Two years of high school algebra and an appropriate
score on the Mathematics Placement Test or completion of MATH
0800 with a grade of C or better. Liberal Education Category
4

**1110 BEGINNING COLLEGE ALGEBRA**
(3 credits) Algebraic concepts including linear, quadratic, rational and absolute
value equations and inequalities; function notation; complex numbers; graphs
of relations and functions including lines and parabolas. A graphing calculator
is required. Not open to students who have completed Math
1100. Prerequisite: Two years of high school algebra and an appropriate
score on the Mathematics Placement Test or Math 0800
with a grade of C or better. Liberal Education Category
4

**1170 COLLEGE ALGEBRA**
(3 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:
Successful completion of MATH 1110, or three years of
high school mathematics (including two years of algebra) and an appropriate
score on the Mathematics Placement Test. Liberal Education Category
4

**1470 PRECALCULUS** (5 credits)
Intended to provide the essential mathematical background needed in calculus.
Topics include equation solving, functions (including polynomial, rational,
exponential, logarithmic, trigonometric, and inverse trigonometric), identities,
applications, and parametric equations. A graphing calculator is required. Prerequisites:
Three years of high school mathematics (including two years of algebra with
a half year of trigonometry strongly recommended) and an appropriate score on
the Mathematics Placement Test, or completion of MATH 1110
with a grade of B or better. Liberal Education Category
4

**2171 CONCEPTS OF CALCULUS
I** (5 credits) A broad overview of both differential and integral calculus
with applications in the areas of business, life, and behavioral sciences. This
course has less rigor than MATH 2471 and is for students
majoring in non-mathematically orientated disciplines. A graphing calculator
is required. Prerequisite: A grade of C or better in MATH
1170 or MATH 1470 (Not open to majors in mathematics,
computer science, physics, chemistry, or students who have successfully completed
MATH 2471.) Liberal Education Category
4

**2172 CONCEPTS OF CALCULUS
II **(3 credits) Investigate Taylor's series, and its applications, indeterminate
forms and L'Hopital's Rule, numerical techniques, root approximations, interpolating
polynomials, numerical integration, discrete and continuous probability functions,
simulation and application. A graphing calculator is required. Prerequisite:
Successful completion of MATH 2171. Liberal Education
Category 4

**2471 CALCULUS I** (5 credits)
Limits, differentiation and integration of algebraic and trigonometric functions;
applications of the derivative and curve sketching; applications of integration.
A graphing calculator is required. Prerequisite: An appropriate score on the
Mathematics Placement Test or a grade of C or better in MATH
1470. Liberal Education Category 4

**2472 CALCULUS II** (5 credits)
Differentiation and integration of transcendental functions, techniques of integration,
infinite sequences and series, parametric equations, polar coordinates, analytic
geometry, and vectors. A graphing calculator is required. Prerequisite: A grade
of C or better in MATH 2471. Liberal Education Category
4

**2480 MULTIVARIABLE CALCULUS** (4
credits) Three dimensional analytic geometry, spherical, and
cylindrical coordinate systems, vectors, partial derivatives, and
multiple integrals. A graphing calculator is required. Prerequisite:
Successful completion of MATH 2472.

**2490 DIFFERENTIAL EQUATIONS** (4
credits) Ordinary differential equations including first order and
second order linear equations, series solutions, Laplace
transformations, existence and uniqueness theory, systems of linear
and nonlinear equations, dynamical systems and applications. A
graphing calculator is required. Prerequisite: MATH
2472.

**2610 APPLIED STATISTICS** (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; nonparametric statistics. Prerequisite: MATH
1170 or higher.

**3010
MATHEMATICS FOR PRE-K TO GRADE 3** (3 credits) Students gain understanding
of appropriate mathematics and pedagogy for young children from pre-K through
the primary grades. Prerequisite: Liberal Education Math course and ED
3670.

**3050 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. Set theory, numeration, and the systems of whole numbers
and rational numbers will be considered. Prerequisite: Teaching
experience or consent of instructor.

**3051 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. The systems of integers, rational
numbers, and real numbers; ratio and proportion; percentiles; and
elementary functions will be considered. Prerequisite: Teaching
experience or consent of instructor.

**3052 MATH MODELS, GAMES, AND ACTIVITIES
FOR THE ELEMENTARY CLASSROOM** (3 credits) An intensive
introduction to activities, models, projects, and ideas needed to
effectively teach using contemporary text materials. Material usable
at every ability level will be included. Set theory; numeration; and
the systems of whole numbers, integers, rational numbers, and real
numbers. Prerequisite: Teaching experience or consent of
instructor.

**3054 MATH ACTIVITIES FOR THE JUNIOR
HIGH/MIDDLE SCHOOL CLASSROOM** (3 credits) Presents and analyzes
mathematical activities, models, games, and related background
material that can be used to supplement textbook instruction.
Prerequisite: Teaching experience or consent of instructor.

**3056 MATH ACTIVITIES FOR THE SECONDARY
CLASSROOM** (3 credits) Presents and analyzes mathematical
activities, models, games, and related background material that can
be used to supplement textbook instruction. Prerequisite: Teaching
experience or consent of instructor.

**3064 NUMBER CONCEPTS FOR ELEMENTARY AND
MIDDLE SCHOOL TEACHERS** (4 credits) This course meets or helps
meet the new BOT rule with respect to number sense and concepts of
patterns, relations, and functions. Provides a background in special
number concepts that are pertinent to middle school mathematics.
Topics include elementary algebra, properties of integers, prime and
composite numbers, divisors, GCDs, LCMs, the number of divisors, the
sum of divisors, the Euclidean Algorithm, famous unsolved problems,
finite mathematical systems, modular arithmetic and congruences, and
sequences. Emphasis given to problem solving techniques as they
relate to number concepts and algebraic representation. Prerequisite:
MATH 1011 or equivalent. (Might not be offered every year)

**3065 MATHEMATICAL FOUNDATIONS FOR ELEMENTARY AND MIDDLE
SCHOOL TEACHERS** (4 credits) This course meets or helps meet the new BOT
rule with respect to concepts of patterns, relations, and functions; discrete
mathematics; probability; and statistics that are pertinent to middle school
mathematics. Prerequisite: MATH 1011 or equivalent.
(Might not be offered every year)

**3066 UTILIZING TECHNOLOGY IN THE ELEMENTARY
AND MIDDLE SCHOOL MATHEMATICS CLASSROOM** (4 credits) This courses meets
the licensure rule with respect to concepts of patterns, relations, and functions;
shape and space; limits and derivatives; and appropriate use of technology in
the classroom. Prerequisites: MATH 1011 and MATH 1100
or MATH 1110 or equivalent;
Recommended: CS 1107 or computer competency. (Might not be offered every year)

**3210 FOUNDATIONS AND DISCRETE
MATHEMATICS** (4 credits) Symbolic logic, quantifiers, predicate
calculus, methods of proof, set theory, relations and functions,
graphs, trees, networks, recurrence relations, and complexity of
algorithms. Prerequisites: Sophomore status and MATH
2471.

**3230 MATHEMATICS CONCEPTS FOR MIDDLE
SCHOOL TEACHERS** (3 credits) A study of mathematics concepts
pertaining to middle school based on the current Curriculum and
Evaluation Standards established by the National Council of Teachers
of Mathematics and the Minnesota Graduation Standards. Prerequisite:
MATH 3210.

**3260 MATHEMATICAL PROBLEM SOLVING** (3
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 situations. Prerequisite: MATH
3210. (Might not be offered every year)

**3310 LINEAR ALGEBRA** (4 credits)
Systems of linear equations, linear transformations, matrix
operations, vector spaces, eigenvalues and eigenvectors,
orthogonality, and applications. Prerequisites: MATH
2472 and MATH 3210.

**3350 MATRIX ALGEBRA** (3 credits)
Operations on matrices, solving linear systems of equations,
determinants, similar matrices, orthogonalization, and canonical
forms. Prerequisites: MATH 2472 and MATH
3210. (Might not be offered every year)

**3410 INTRODUCTION TO ANALYSIS** (3
credits) Functions, sequences, and properties of limits. Topics from
calculus including continuity, differentiation, and integration. Open
and closed sets, cluster points, and other topological properties.
Prerequisites: MATH 2472 and MATH
3210.

**3440 INTRODUCTION TO FRACTALS AND
CHAOS** (3 credits) An introduction to 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, and bifurcation. Prerequisites:
MATH 2472 and MATH
3210. (Might not be offered every year)

**3560 CLASSICAL AND MODERN GEOMETRY** (3 credits)
Euclidean and non-Euclidean geometry, axiomatic systems, the geometry of solids,
transformations, measurement, and fractal geometry. Prerequisite: MATH
3210.

**3631 PROBABILITY AND STATISTICS I **(4 credits) Probability
of finite sample spaces, discrete and continuous probability distributions,
exploratory data analysis, statistical models. Prerequisites: MATH
2472.

**3632 PROBABILITY AND STATISTICS II** (3 credits)
Multivariable distributions, sampling distribution theory, estimation, hypothesis
testing, regression and correlation. Prerequisites: MATH
2480 and MATH 3631. (Might not be offered every
year)

**3710 MATHEMATICAL MODELING **(3 credits)
Mathematical modeling of applications that involve difference equations, matrices,
probability, differentiation, and integration. Applications may be chosen from
among the biological and p hysical sciences, economics, the social sciences,
or other areas of interest. A graphing calculator is required. Prerequisite:
MATH 2472. (Might not be offered every year)

**3730 MATHEMATICS OF FINANCE** (3
credits) A thorough and modern treatment of mathematics of
investment, incorporating both theory and applications. Topics to be
covered are the measurement of interest, annuities, yield rates,
amortization schedules and sinking funds, bonds and other securities.
Prerequisite: MATH 2171 or MATH
2471. (Might not be offered every year)

**3741 NUMERICAL METHODS AND OPTIMIZATION I** (3 credits)
Root finding techniques, fixed point iteration, polynomial interpolation, methods
for solving linear and nonlinear systems of equations, numerical integration
and differentiation, numerical solutions of differential equations, and the
method of steepest descent. Prerequisite: MATH 2472.

**3742 NUMERICAL METHODS AND OPTIMIZATION II** (3 credits)
Numerical solutions of differential equations, methods for finding eigenvalues
and eigenvectors, classical numerical methods for optimization of functions
of one or more variables, various search techniques for optimization of functions
of several variables, topics chosen from operations research, wavelets, neural
networks, and other areas of application. Prerequisites: MATH
2480 and MATH 3741 or consent of instructor. (Might
not be offered every year)

**3750 LINEAR PROGRAMMING** (3 credits)
Mathematical models applicable to linear programming, systems of
linear equations and inequalities, graphical methods, the simplex
method and game theory. Prerequisite: MATH
2171 or MATH 2471. Note: Not open to
students who have taken CS
3610. (Might not be offered every year)

**3820 HISTORY OF MATHEMATICS** (3
credits) Historical investigation and presentation of the sources and
growth of mathematical knowledge and principles, including Peano's
axioms, the Axiom of Choice, and Russell's Paradox. Prerequisites:
Junior or senior status and consent of the instructor. (Might not be offered every year)

**4131 ACTUARIAL MATHEMATICS ** (2 credit)
Investigation of topics from calculus and probability theory that are
covered on the Course 1 examination of the Society of Actuaries.
Prerequisite: MATH 2480 and MATH
3631. (Might not be offered every year)

**4240 NUMBER THEORY** (3 credits)
Properties of integers, primes and their distribution, linear and
quadratic congruences, number-theoretic functions, Diophantine
equations, Fibonacci numbers, primitive roots and quadratic
reciprocity. Prerequisite: MATH 3210. (Might not be offered every year)

**4350 ABSTRACT ALGEBRA **(3 credits) A
study of abstract algebraic systems with an emphasis on the
development of number systems, properties of polynomials, rings,
integral domains, and fields. Prerequisites: MATH
3210 and MATH 3310. (Might not be offered every year)

**4371 MODERN ALGEBRA** (3 credits) A study of abstract
algebraic systems with an emphasis on groups and an introduction to rings. Prerequisite:
MATH 3310.

**4470 ADVANCED CALCULUS **(3 credits)
Properties of limits, vector valued functions, infinite series,
Taylor series, uniform convergence, improper integrals, convergence
in the mean and Fourier series. Prerequisite: MATH
2480 and MATH
3210. (Might not be offered every year)

**4480 COMPLEX ANALYSIS** (3 credits)
Complex number system, polar form, analytic functions,
differentiation and integration, series, residues, conformal mapping,
Schwarz-Christoffel transformations, and applications. Prerequisites:
MATH 2480 and MATH
3210. (Might not be offered every year)

**4890 SEMINAR IN MATHEMATICS** (1-4
credits) Lecture, group discussion, readings in an area or field of
mathematics. Prerequisite: MATH 3210 or
consent of instructor.

**4980 RESEARCH PROJECT AND PRESENTATION** (0 credits)
This research and presentation is part of an approved upper division mathematics
course. Students engage in research on a specialized mathematics topic or application
selected by the student in consultation with the course instructor; students
present the research results in a public forum. This course is graded Satisfactory/Unsatisfactory
only. Prerequisite: Junior or senior status; Corequisite: MATH 3310 or MATH
3410 or MATH 3560 or MATH 3631 or MATH 3632
or MATH 3742 or MATH 4240 or MATH 4371
or MATH 4470 or MATH 4480.

Math Program | All-University Courses and Descriptions

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