MathematicsPhysics
2005  2006 College of the Ozarks Catalog 

Bachelor of Arts, Bachelor of Science
The major in Mathematics will enable students to: 1)
obtain a background in mathematics (including Analysis,
Algebra and Differential Equations) sufficient for
graduate work; 2) organize and analyze information,
solve problems readily and construct logical arguments;
3) do mathematics, using modern technology when appropriate;
4) appreciate the utility of mathematics.
All prerequisite courses require a grade of C or better.
Major in Mathematics

Core courses required of all
Mathematics majors: 30 hours 

MAT 135 Discrete Mathematics and Trigonometry
(F/S) 
5 
MAT 175 Calculus I (S) 
5 
MAT 205 Calculus II (F) 
5 
MAT 213 Calculus III (S) 
3 
MAT 333 Linear Algebra (F) 
3 
MAT 403 Advanced Calculus I (F) 
3 
MAT 433 Modern Algebra WI (S) 
3 
MAT 453 Great Ideas in Mathematics WI (F) 
3 
Additional Requirements: Complete the departmental
proficiency exam 

General Mathematics Emphasis 

Required major courses: 39 hours 

MAT core courses 
30 
MAT additional courses (300400 level) excluding
423 and limiting hours under 49V and/or 401 to a
total of 3 credit hours 
9

Required collateral courses: 3 hours 

CSC courses excluding 113, 213 
3 
OR MAT 353 Numerical Analysis* (SE) 

Recommended additional courses: 

PHY 225 General Physics I (F) 

PHY 235 General Physics II (SE) 

Double Major
Mathematics Education Emphasis/Secondary Education

Required major courses: 44 hours 

MAT core courses 
30 
MAT 202 Introduction to the History of Mathematics
(SO) 
2 
MAT 323 Modern Geometry (FO) 
3 
MAT 343 Probability and Statistics (FE) 
3 
MAT 423 Methods of Teaching Math in the Secondary
School (SE) 
3 
MAT additional courses (300400 level) limiting
hours under 49V and/or 401 to a total of 3 credit
hours 
3 
Required collateral courses: 3 hours 

CSC courses excluding 113, 213 
3 
OR MAT 353 Numerical Analysis* (SE) 

Mathematics majors with a Math Education
emphasis must also major in Secondary Education. 
* MAT 353 Numerical Analysis is the
required course for all mathematics majors who are
doublemajoring or minoring in Computer Science. 
Minor in Mathematics

Required minor courses: 24 hours 
MAT 135 Discrete Mathematics and Trigonometry
(F/S) 
5 
MAT 175 Calculus I (S) 
5 
MAT 205 Calculus II (F) 
5 
MAT 213 Calculus III (S) 
3 
MAT 333 Linear Algebra (F) 
3 
MAT additional courses (300400 level) excluding
423 and limiting hours under 49V and/or 401 to a
total of 3 credit hours 
3 
MPT refers to the Mathematics
Placement Test. This test consists of 55 multiple
choice questions over arithmetic and algebra. Sample
questions may be obtained from the MathematicsPhysics
department or from the Admissions office. 
COURSES IN MATHEMATICS (MAT)
013 Intermediate Algebra Topics include real
and complex numbers, factoring, solving linear and nonlinear
equations and inequalities in one variable, and applications
of equations. Many course topics will be illustrated
with calculators and/or computers. Does not satisfy
General Education requirements. May not be taken concurrently
with or after completion of the equivalent of MAT 133
(or the equivalent of any higher numbered MAT course)
with a C or better. (F/S)
104 Mathematics for Elementary and Middle School
Teachers—Prerequisite: Admission in the Teacher
Ed. program or permission. This course prepares prospective
teachers of elementary and middle school mathematics.
An understanding of the basic operations in mathematics
and their grounding in sets is developed. Topics include
sets, numeration, measurement, geometry, logic, number
theory, algebraic reasoning, statistics, and problem
solving. Mathematical learning experiences using manipulatives
are the focus of the laboratory portion of the course.
Three hours lecture, one twohour laboratory per week.
(F/S)
123 Mathematical Inquiry with Applications—Prerequisite:
MAT 013 or Math ACT 19 or greater or MPT 20 or greater.
Topics may include logic, sets, probability, statistics,
functions, finance, and geometry. (F/S)
133 College Algebra—Prerequisite: MAT 013 or
Math ACT 21 or greater or MPT 25 or greater. Topics
include graphing functions and relations, conic sections,
exponential and logarithmic functions, systems of equations,
and matrices. (F/S)
135 Discrete Mathematics and Trigonometry—Prerequisite:
MAT 133 or Math ACT 25 or greater or MPT 35 or greater.
Topics covered will include sets, functions, elementary
propositional and predicate logic, Boolean algebra,
elementary graph theory, matrices, proof techniques
(including induction and contradiction), combinatorics,
probability, theory of random numbers and an introduction
to trigonometric functions and their applications. (F/S)
142 Trigonometry—Prerequisite: MAT 013 or Math
ACT 21 or greater or MPT 25 or greater. Topics include
trigonometric functions, identities, equations, vectors,
and inverse functions. (F)
143 Statistics—Prerequisites: MAT 013 or Math
ACT 21 or greater or MPT 25 or greater or permission.
This course is an algebrabased introduction to descriptive
and inferential statistics. Topics include discrete
and continuous distributions, measures of central tendency
and variability, correlation and regression, and analysis
of variance.
175 Calculus I—Prerequisite: MAT 133 and MAT
142 or MAT 135 or permission. Introductory topics to
include Analytic Geometry, limits, definition of derivatives,
derivatives and differential formulas, applications
of derivatives, definition of integrals, the Fundamental
Theorem of Calculus, integration formulas and Riemann
sums. Four hours lecture, one twohour laboratory per
week. (S)
202 Introduction to the History of Mathematics—Prerequisite:
MAT 175 or permission. Designed to give an appreciation
of the historical development of mathematics. The course
includes a survey of various concepts and their developments
from antiquity to present, with emphasis on the people
involved in the growth of mathematics. (S–odd)
205 Calculus II—Prerequisite: MAT 175 or permission.
Topics include applications of integrals, exponential
and logarithmic functions, formal integration of exponential,
logarithmic, trigonometric, hyperbolic and inverse functions.
Other topics include vectors and analytic geometry.
Four hours lecture, one twohour laboratory per week.
(F)
213 Calculus III—Prerequisite: MAT 205 or permission.
Infinite series, tests for convergence and divergence,
differential calculus of functions of several variables,
multiple integration and improper integrals. (S)
Prerequisite for all 300400 level
courses: 45 hours or permission.
303 Number Theory—Prerequisite: MAT 135 or permission.
An introduction to the theory of numbers. A variety
of topics dealing with the properties of integers will
be covered. These include division and factorization
properties of integers, prime numbers and perfect numbers,
number representations, linear diophantine equations,
linear and quadratic congruences, quadratic reciprocity
and others.
313 Differential Equations—Prerequisite: MAT
205. An introductory course in the methods of solving
ordinary differential equations. Emphasis on the
techniques for solving linear differential equations
with applications to geometric, physical science and
engineering problems. (S–odd)
323 Modern Geometry—Prerequisite: MAT 135 or
permission. A study of some modern aspects of mathematics,
including logical foundations of geometries and an introduction
to nonEuclidean geometries. Recommended for prospective
secondary teachers of mathematics. (F–odd)
333 Linear Algebra—Prerequisite: MAT 205 or
permission. Topics include vector spaces, systems of
linear equations, determinants, matrices and linear
transformations. (F)
343 Probability and Statistics—Prerequisite:
MAT 213. Topics include basic probability theory, introduction
to mathematical statistics, random variables, expectations,
means, variances, discrete and continuous distributions.
(F–even)
353 Numerical Analysis—Prerequisite: MAT 205
and CSC 133 or permission. Topics include finite difference
formulas, polynomial approximations and interpolation,
numerical differentiation and integration, solutions
of differential equations. The emphasis is on numerical
techniques used in conjunction with digital computers.
Work on the computer will be included. (S–even)
363 Complex Variables—Prerequisite: MAT 135
and MAT 213 or permission. The course will introduce
the subject of complex variables. In particular, we
will study the properties of complex numbers; analytic
and elementary functions; complex integration including
definite, contour, and line integrals; series; residues
and poles.
401 Mathematics Seminar—Prerequisite: permission.
Seminars and discussions of mathematical topics of current
interest to the staff and students. Students will generally
be expected to present one or more seminars. May be
taken as many as three times.
403 Advanced Calculus I—Prerequisite: MAT 135
and MAT 213 or permission. Topics covered include an
advanced treatment of the theory of continuous functions
in ndimensional space; line, path, surface integrals
and their applications; conditional, absolute, and uniform
convergence of series, and the representation of functions
by power and trigonometric series. (F)
413 Advanced Calculus II—Prerequisite: MAT 403.
A continuation of MAT 403. Topics covered vary but frequently
include differentiation, RiemannStieltjes Integral,
sequences of functions, series of functions, special
types of series and functions of several variables.
423 Methods of Teaching Mathematics in the Secondary
School Mathematics teaching and learning in grades
7 through 12. Topics include objectives, teaching materials,
use of technology in mathematics teaching and learning,
curriculum organization and principles of presenting
mathematical content to secondary students. Does not
count toward a major in mathematics. (S–even)
433 Modern Algebra—Prerequisite: MAT 135 and
MAT 213 or permission. Intended for majors and minors.
An introduction to abstract algebra. Topics include
sets, mappings, equivalence relations, operations and
groups. Writing Intensive. (S)
443 General Topology—Prerequisite: MAT 403 or
permission. Topics include functions, Metric Spaces,
Normed Spaces, Compactness, Completeness, Connectedness
and Separation Axioms.
453 Great Ideas in Mathematics—Prerequisite
and/or Corequisite: MAT 403 and MAT 433 or permission.
This course will attempt to tie together the many concepts
already discussed in previous classes as well as to
provide a medium in which a student is encouraged to
assimilate a variety of complex mathematical ideas into
a cohesive and thoughtful presentation. An additional
course aspect is the administering of an exam typifyng
the subjects common to a degree in mathematics at College
of the Ozarks. Writing Intensive. (F)
49V (16) Special Problems—Prerequisite: permission.
An opportunity to do directed research under the supervision
of a program faculty member.
COURSES IN PHYSICS (PHY)
104 Fundamentals of Physical Science An introductory
course in the physical sciences designed primarily for
nonscience majors. This course covers important topics
in physics and astronomy. Three hours lecture and one
twohour lab per week. (F/S)
114 Astronomy A course intended for students
with little or no scientific background, covering the
solar system, distances and motions of stars, the light
from stars, stellar evolution, star clusters, galaxies
and cosmology. Sky observation with the college’s 8”
reflector is included. It is recommended that PHY 104
and MAT 013 be taken prior to Astronomy. (F)
124 Introduction to Geology A comprehensive
study of physical and historical geology with an emphasis
on geological phenomena occurring in North America.
Some emphasis is placed on the geology of the Ozark
Region. Three hours of lecture and one twohour lab
period per week. (S)
204 Physics for the Life Sciences—Prerequisite:
MAT 133 and MAT 142 or MAT 135 or permission. A course
intended for Biology majors, Medical Technology and
PreNursing students and other interested students.
This course will cover the basic concepts of physics
(mechanics, heat, light, sound, electricity, atomic
and nuclear physics) and their applications to the life
sciences. (S–odd)
225 General Physics I—Prerequisite: High school
physics or PHY 104 and MAT 175. Covers the principles
of mechanics. For engineering and science majors. Three
lecture periods and one twohour experimental laboratory
and one twohour computational laboratory each week.
(F)
235 General Physics II—Prerequisite: PHY 225.
Covers the principles of magnetism, electricity, and
light. Three lecture periods, one twohour experimental
laboratory one twohour computational laboratory each
week. (Seven)
Prerequisite for all 300400 level
courses: 45 hours or permission.
303 Mechanics I–Statics—Prerequisite: PHY 225.
Topics include vectors, force systems, centroids, beams,
moment of inertia, principle of virtual work, etc. (F–even)
313 Mechanics II–Dynamics—Prerequisite: PHY
303. Topics include motion of a particle, mass and acceleration,
work and energy, impulse and momentum and motion of
a rigid body.
49V (16) Special Problems—Prerequisite: permission.
An opportunity is given to do independent or semiindependent
research with the approval and direction of a member
of the program.
2005  2006 College of the Ozarks Catalog 

