Bachelor of Science
Bachelor of Arts
The Mathematical Sciences curriculum, carefully
designed to possess a high degree of versatility,
equips the student with the knowledge of mathematical concepts and
methods that are applicable
in physics, computer science, communication
theory, data processing, statistics, operations research, economics,
or any branch of the physical
sciences in which a strong mathematical background
is desired. In addition to containing the basic courses
which provide the student with the skills necessary
in the use of mathematics as it relates to other fields,
the curriculum allows the student in his or her junior year to select
one of five optional sets of courses,
providing an introduction to an area where mathematics is applied.
These options are
Applied Analysis,
Biology,
Computer Science,
Operations Research/Management Sciences,
Statistics.
In addition to the overall goal of preparing the student to cope with
the dynamics of any mathematical environment, the curriculum seeks to
provide
an adequate background for the student who plans to pursue graduate study in mathematics or to fill
many interesting positions in space research, computer development,
business, or government research. Those electing the Biology option
will have
the necessary preparation for entering medical
school.
Freshman Year
First Semester
- 3 - ECON 200 Economic Concepts or
- 3 - ECON 211 Principles of Microeconomics
- 3 - ENGL 101 Composition I
- 3 - HIST 172 or 173 Western Civilization
- 4 - MTHSC 106 Calculus of One Variable I
- 4 - Foreign Language(See note on Foreign Languages)
Total: 17
Second Semester
Total: 17
Sophmore Year
First Semester
Total: 15
Second Semester
Total: 17
Junior Year
First Semester
Total: 16
Second Semester
Total: 16
Senior Year
First Semester
Total: 16
Second Semester
- 3 - MTHSC 454 Advanced Calculus II or
- 3 - Option
- 10 - Elective
Total: 16
130 Total Semester Hours
OPTIONS
- 3 - I E 482 Systems Modeling or
- 3 - I E 384 Engineering Economic Analysis
- 3 - I E 486 Production Planning and Control or
- 3 - MGT 402 Operations Planning and Cont.
- 3 - MTHSC 407 Regression and Time-Series Analysis
- 3 - MTHSC 441 Intro. to Stochastic Models
- 3 - MTHSC 460 Intro. to Numerical Analysis I
Total: 15
Statistics
- 3 - MA SC 414 Statistical Analysis
- 3 - MTHSC 403 Intro. to Statistical Theory
- 3 - MTHSC 406 Sampling Theory and Methods
- 3 - MTHSC 407 Regression and Time Series Analysis
Total: 12
Applied Analysis
Total: 12
Foreign Languages Requirement
Eight semester hours in the same language are required.
Approved Courses
These requirements must he approved by the advisor.
Literature Requirement
ENGL 202, 203, 204, 205, 206, 207, 208, 209.
Science Requirement
Must include two of the following sequences:BIOL 103, 104;
CH101,102, or 112; ECON 314,405; PHYS 221/223,222/224.
Application Area
These courses must be approved by the advisor. Possibilities
include CH 331 332; E M 320; MTHSC 457, 458; PHYS 321, 322, 441, 442; M E 302.
Economics Requirements
ECON 314, 405.
Notes:
- For graduation, a candidate for the BS degree in Mathematical
Sciences will be required to have a 2.0 or higher cumulative
grade-point ratio in all required courses taught by the Mathematical
Sciences Department including approved
mathematical sciences electives and option courses.
- A grade of C or better must be eamed in all prerequisite
courses before enrolling in the next MTHSC course.
BIOLOGY
Freshman Year
First Semester
Total: 15
Second Semester
Total: 16
Sophmore Year
First Semester
Total: 18
Second Semester
Total: 18
Junior Year
First Semester
Total: 16
Second Semester
Total: 16
Senior Year
First Semester
Total: 16
Second Semester
Total: 15
130 Total Semester Hours
Advanced Placement Credits - Biology Option
Those qualifying for advanced placement in languages or wanting to take languages
the freshman year may take them in place of these courses.
Literature Requirement - Biology Option
ENGL 202, 203, 204, 205, 206, 207, 208, 209.
Foreign Language - Biology Option
In the same language.
Animal or Plant Diversity Requirement
BlOSC 302, 303, 304, 305.
Biological Science Requirement
Select from BIOCH 301, GEN 302, MICRO 305 or
any 300- and 400-level biological science or
zoology course.
Notes:
- For graduation, a candidate for the BS degree in Mathematical Sciences
will be required to have a 2.0 or higher cumulative grade-point ratio in ail required courses taught by the
Mathematical Sciences Department including approved mathematical sciences electives and option courses.
- A grade of C or better must be earned in all prerequisite
courses before enrolling in the next MTHSC course.
Computer Science Option
Freshman Year
First Semester
- 3 - ECON 200 Economic Concepts or
- 3 - ECON 211 Principles of Microeconomics
- 3 - ENGL 101 Composition I
- 3 - HIST 172 or 173 Western Civilization
- 4 - MTHSC 106 Calculus of One Variable I
- 4 - Foreign Language(See note on Foreign Languages)
Total: 17
Second Semester
Total: 17
Sophmore Year
First Semester
Total: 16
Second Semester
Total: 17
Junior Year
First Semester
Total: 15-16
Second Semester
Total: 16
Senior Year
First Semester
Total: 16-18
Second Semester
Total: 16
130 Total Semester Hours
Foreign Language Requirement
Eight semester hours in the same language are required.
Literature Requirement
ENGL 202, 203, 204, 205, 206, 207, 208, 209.
Social Sciences Requirement
Must be approved by advisor.
Mathematical Sciences Requirement
Select from 300- and 400-level MTHSC courses with approval of advisor.
Sciences Requirement
Must include two of the following sequences: BIOL 103, 104;
CH 101,102 or 112;ECON 314,405;PHYS 221/223,222/224.
Computer Sciences Requirement
Choose one of the following sequences: CP SC 231, 428; 350,
450; 360, 462 or any two courses from CP SC 231, 350,
360, 372 or MTHSC 461.
Notes:
- For graduation, a candidate for the BS degree in Mathematical
Sciences will be required to have a 2.0 or higher cumulative
grade-point ratio in all required courses taught by the
Mathematical Sciences Department including approved
mathematical sciences electives and option courses.
- A grade of C or better must be earned in all prerequisite
courses betore enrolling in the next MTHSC course.
Bachelor of Arts
Bachelor of Sciences
Freshman Year
First Semester
- 3 - ECON 200 Economic Concepts or
- 3 - ECON 211 Principles of Microeconomics
- 3 - ENGL 101 Composition I
- 3 - HIST 172 Western Civilization
- 4 - MTHSC 106 Calculus of One Variable I
- 4 - Foreign Language(See note on Foreign Languages)
Total: 17
Second Semester
Total: 17
Sophmore Year
First Semester
Total: 15
Second Semester
Total: 17
Junior Year
First Semester
- 3 - A A H 210 Intro. to Art and Architecture or
- 3 - MUSIC 210 Music Appreciation: Music in the Western World
- 3 - ENGL 314 Technical Writing or
- 3 - SPCH 250 Public Speaking
- 3 - MTHSC 302 Statistics for Science and Engineering
- 3 - Minor
- 3 - Social Science Requirement(See note on Social Science Requirement)
- 2 - Elective
Total: 17
Second Semester
Total: 17
Senior Year
First Semester
- 3 - MTHSC 440 Linear Programming or
- 3 - MTHSC 453 Advanced Calculus I or
- 6 - Minor
- 3 - Elective
Total: 15
Second Semester
Total: 15
130 Total Semester Hours
Foreign Language Requirement
Four semesters of the same language.
Literature Requirement
ENGL 202, 203, 204, 205, 206, 207, 208, 209.
Social Sciences Requirement
Must be approved by advisor.
Mathematical Sciences Requirement
Select from 300- and 400-level MTHSC courses with approval of advisor.
Course Listings
MTHSC 101 Finite Probability 3(3,0)
Topics in include probability, discrete random
variables, and probability distributions. May not be taken by
students who have
successfully completed MTHSC 301. Preq: A
satisfactory score on the Mathematics
Test, Level II (Standard) or consent of instructor .
MTHSC 102 Introduction to Mathematical Analysis 3(3,0)
An
intuitive approach to
the concepts and applications of calculus. Topics include functions
and
graphing, differentiation, and integration. Applications from social,
biological, and management sciences are presented. Not open to those
receiving
credit for MTHSC 106. Preq: A satisfactory
score on the Mathematics Test, Level
II (Standard) or consent of instructor
MTHSC 104 College Algebra 3(3,1)
Basic course in college
algebra designed to
prepare students for more advanced courses in finite probability,
mathematical
analysis, and elementary statistics. Fundamental concepts of algebra,
algebraic
equations and inequalities, functions and graphs will be studied.
Students who
have received credit for MTHSC 102 or
105 or 106 will
not be allowed to enroll
in or receive credit for MTHSC 104.
MTHSC 105 Precalculus 5(5,1)
Extensive treatment of topics
chosen to prepare
students for the study of calculus. Special emphasis is given to
polynomial,
rational, exponential, logarithmic and trigonometric functions and
their graphs,
as well as basic and analytic trigonometry. Students who have
received credit
for MTHSC 102 or
104
or 106 will not be allowed to enroll in or
receive credit
for MTHSC 105.
MTHSC 106, H106 Calculus of One Variable 1 4(4,0)
Topics
include analytic
geometry, introduction to derivatives, computation and application of
derivatives, integrals, exponential and logarithm functions. Preq: MTHSC 105, or
a satisfactory score on the Mathematics Test, Level II (Standard) or
consent of
instructor.
MTHSC 108, H108 Calculus of One Variable II 4(4,0)
Topics
include infinite
series limits, differentiation and techniques of integration. Preq:
MTHSC 106.
MTHSC 109 Algebra and Trigonometry for Teachers 3(3,0)
Unified course in algebra
and trigonometry. Complex number system, functions, graphs, solving
equations
and inequalities, trigonometry, sequences, series, combinations, and
permutations. A refresher course for teachers assigned to teach in a
school's
college preparatory program. Enrollment limited to in-service
teachers.
MTHSC 110 Analytic Geometry for Teachers 3(3,0)
Algebraic
techniques applied to
geometry; lines, conic sections and their graphs; transformations of
coordinates; general second-degree equations: parametric equations;
polar
coordinates. Restricted to in-service teachers. Preq: MTHSC 109 or equivalent.
MTHSC 115 Contemporary Mathematics for Elementary School Teachers
I 3(3,0)
Logic,
sets, and the properties of the counting numbers, numeration systems.
Open to
Elementary Education majors only. Preq: A satisfactory score on the
Mathematics
Test Level II.
MTHSC 116 Contemporary Mathematics for Elementary School Teachers
113(3,0)
Continuation of MTHSC 115. Subtraction,
properties of the integers, elementary
number theory, rational number system, real number system. Open to
Elementary
Education majors only. Preq: MTHSC 115 or
consent of instructor.
MTHSC 119 Introduction to Discrete Methods 3(3,0)
Topics
normally will include
elementary logic and methods of proof: sets, functions, and
relations; graphs
and trees; combinatoral circuits and Boolean Algebra. Preq:
Satisfactory score
on the Mathematics Test, Level II (Standard).
MTHSC 129 Problem Solving in Discrete Mathematics 3(2,2)
A
problem-solving
approach to learning mathematics will be applied to topics in modern
discrete
mathematics. Typical selection of topics will include logic and
proof, sets,
relations, functions, mathematical induction, graphs and trees,
counting
techniques, recurrence equations. For Bachelor of Science and
Bachelor of Arts
majors in Mathematical Sciences only. Credit may not be received for
both
MTHSC 119 and MTHSC
129.
Preq: MTHSC 106.
MTHSC 203 Elementary Statistical Inference 3(3,0)
Survey
course in fundamental
statistical principles with applications. Topics include estimation,
tests of
hypotheses, regression and correlation, analysis of variance, and
nonparametric
statistics May not be taken by students who have passed MTHSC 301.
Preq: MTHSC 101.
MTHSC 206, H206 Calculus of Several Variables 1(4,0)
Topics
include real valued
functions of several variables, multiple integration, differential
calculus of
functions of several variables, vector field theory. Preq: MTHSC 108.
MTHSC 207 Multivariable Calculus 3(3,0)
Introduction to the
calculus of several
variables, differential calculus and optimization of several
variables, multiple
integrals. Topics from the management sciences will be used to
illustrate the
above concepts. May not be taken by students who have passed MTHSC 206.
Preq: MTHSC 102, or
106 with consent of instructor.
MTHSC 208, H208 Introduction to Ordinary Differential Equations
4(4,0)
Introduction to the study of differential equations and their
application to
physical problems. Topics include exact, series and numerical
solutions; solutions by means of Laplace transforms; and
solutions of systems of differential equations. Preq: MTHSC 206.
MTHSC 210 Applied Matrix Algebra 3(3,0)
Introduction to the
basic principles of
matrix algebra with applications to the behavioral and managerial
sciences. The
major areas of application will include linear programming, directed
graphs, and
game theory. Preq: MTHSC 101 and MTHSC 102
or 106.
MTHSC 216 Geometry for Elementary School Teachers 3(3,0)
An
informal treatment
of the basic concepts of geometry. Open to Elementary Education
majors only.
Preq: MTHSC 116 or consent of instructor.
MTHSC 231 Mathematics of Life Insurance 3(3,0)
Introduction
to the basic
mathematics of finance and life insurance. Topics include compound
interest,
annuities certain, mortality tables, life annuities, net premiums,
net level
reserves, modified reserves, nonforteiture values and dividends.
MTHSC 232 Actuarial Science Seminar I 1(1,0)
Problem-solving
seminar designed to
prepare the student for the Society of Actuaries Examination I
(General
Mathematics). Preq: MTHSC 206.
MTHSC 250 Introduction to Mathematical Sciences 1(1,0)
Lectures and discussions
on the mathematical sciences disciplines: Applied Mathematics,
Computing
Science. Core Mathematics, Management Science, Operations Research,
and
Statistics. Preq: MTHSC 106.
MTHSC 301, H301 Statistical Theory and Methods I 3(3.0)
Principal topics
include elementary probability theory, discrete and continuous random
variables,
expected values, normal distribution, chi-square distribution,
t-distribution,
F-distribution, tests of hypotheses, point and interval estimation,
curve
fitting. Preq: MTHSC 106 or 207
or 210.
MTHSC 302 Statistics for Science and Engineering 3(3,0)
Methodology for
collecting, organizing and interpreting data. Topics include
understanding
variability, graphical and numerical summarization of data,
introductory
probability, normal and related distributions statistical inference,
experimental design, simple linear regression. Statistical
microcomputer
software will be used. Preq: MTHSC 106.
MTHSC 308 College Geometry 3(3,0)
Theorems and concepts more
advanced than those
of high school geometry. A treatment of the various properties of the
triangle,
including the notable points, lines, and circles associated with it.
Preq:
MTHSC 106.
MTHSC 311, H311 Linear Algebra 3(3,0)
Introduction to the
algebra of matrices,
vector spaces, polynomials, and linear transformations. Preq: MTHSC 108
or consent of instructor.
MTHSC 360 Intermediate Mathematical Computing 3(3,0)
Continuing study of
mathematical computing using the FORTRAN language. Emphasis on
subroutine
computation with applications to problems in science and engineering.
Preq:
CP SC 110 or consent of instructor.
MTHSC 400, H400, 600 Theory of Probability 3(3,0)
Principal
topics include
combinatorial theory, probability axioms, random variables, expected
values
special discrete and continuous distributions, jointly distributed
random
variables, correlation, conditional expectation, law of large
numbers, central
limit theorem. Preq: MTHSC 206 or consent of
instructor.
MTHSC 401, H401, 601 Statistical Methodology 3(3,0)
Probability-based treatment
of statistical methods. Topics include point and interval estimation,
hypothesis
testing, analysis of variance, regression and correlation, analysis of
categorical data, and distribution-free& procedures. Preq: MTHSC 311
and 400.
MTHSC 403, H403, 603 Introduction to Statistical Theory
3(3,0)
Principal topics
include sampling distributions, point and interval estimation,
maximum likelihood
estimators, method of moments, least squares estimators, tests of
hypotheses,
likelihood ratio methods, regression and correlation analysis,
introduction to
analysis of variance. Preq: MTHSC 400 or
equivalent.
MTHSC 405, 605 Statistical Theory and Methods II 3(3,0)
Principal topics
include simple linear regression, multiple regression and correlation
analysis
one-way analysis of variance multiple comparison, multifactor
analysis of
variance, experimental design. Computation and interpretation of
results are
facilitated through use of statistical computer packages. Preq: MTHSC 301.
MTHSC 406, 606 Sampling Theory and Methods 3(3,0)
Probability-based treatment
of sampling methodology. Theory and application of estimation
techniques will be
treated using simple and stratified random sampling, cluster
sampling, and
systematic sampling. Coreq: MTHSC 401.
MTHSC 407, 607 Regression and Time-Series Analysis 3(3,0)
Theory and
application of the regression and time series approaches to empirical
model
building and data analysis are treated. Computation and
interpretation of results
are facilitated through the use of interactive statistical packages.
Preq: MTHSC 401.
MTHSC 408, 608 Topics in Geometry 3(3,0)
Introduction to
topics in special
geometries which include non-Euclidean: space concepts such as
projective
geometry, finite geometries, and intuitive elementary topology. A
brief
introduction to vector geometry. Preq: MTHSC
206.
MTHSC 410 Number Theory 3(3,0)
Introduction to the theory of
integers and
related number systems. Topics include historical development,
principle of
mathematical induction, divisibility primes Congruences,
number-theoretic
functions, primitive roots, quadratic residues, and diophantine
equations. Preq:
MTHSC 108 or consent of instructor.
MTHSC 412, H412, 612 Introduction to Modern Algebra 3(3,0)
Introduction to the
concepts of algebra. Topics included are the number system and the
elementary
theory of groups, rings, and fields. Preq.:
MTHSC 311.
MTHSC 419, H419, 619 Discrete Mathematical Structures 1
3(3,0)
This course
applies theoretical concepts of sets, functions, binary relations,
graphs,
Boolean algebras, propositional logic, semigroups, groups,
homomorphisms, and
permutation groups to computer characteristics and design, words over
a finite
alphabet and concatenation, binary group codes, and other
communication or
computer problems. Preq: MTHSC 311.
MTHSC 425, H425 Orthogonal Functions and Boundary Value Problems
3(3,0)
Continuation of MTHSC 208. Introduction to
Fourier Series, numerical methods,
partial differential equations, and certain special functions is
given. Preq:
MTHSC 208.
MTHSC 432 Actuarial Science Seminar II 1(1,0)
Problem-solving seminar designed to
prepare the student for the Society of Actuaries Examinations 2
(probability and
statistics). Preq: MTHSC 403 may be taken
concurrently or consent of instructor.
MTHSC 434,634 Advanced Engineering Mathematics 3(3,0)
Fourier series, Laplace and
Fourier transform and numerical methods for solving initial value and
boundary-value problems in partial differential equations are
developed.
Applications to diffusion wave and Dirichlet problems are given.
Matrix methods
and special functions are utilized. Preq: MTHSC
208.
MTHSC 435, H435, 635 Complex Variables 3(3,0)
Elementary
functions.
Differentiation and integration of analytic functions, Taylor and
Laurent
series. Contour integration and residue theory, conformal mapping,
Schwartz-Christoffel transformation. Preq: MTHSC
206.
MTHSC 440, H440, 640 Linear Programming 3(3,0)
Introduction
to linear
programming covering the simplex algorithm, duality, sensitivity
analysis,
network models, formulation of models, and the use of simplex codes
to solve,
interpret, and analyze problems. Preq: MTHSC
206, 311, or consent of instructor.
MTHSC 441, H441, 641 Introduction to Stochastic Models
3(3,0)
Introductory
treatment of stochastic processes, finite-state Markov chains,
queueing, dynamic
programming Markov decision processes, reliability, decision analysis
and
simulation. Both theory and applications will be stressed. Preq: MTHSC 400.
MTHSC 450 Introduction to Mathematical Models 3(3,0)
Study
of the modeling
process which will include the translation of practical problems into
mathematical models, the solution of the mathematical models, and the
interpretation of the solution back into practical problems. Examples
will be
chosen from the physical, biological, social, and management
sciences. Preq: CP SC 110, MTHSC 208. Coreq: MTHSC 401 or
consent of instructor.
MTHSC 453, H453, 653 Advanced Calculus I 3(3,0)
Limits,
continuity, and
differentiation of functions of one and several variables, the
Riemann integral,
and vector analysis. Preq: MTHSC 206.
MTHSC 454 H454, 654 Advanced Calculus II 3(3,0)
Continuation
of MTHSC 453.
Transformations, multiple integrals line and surface integrals,
infinite
sequences and series, and improper integrals.
MTHSC 460, 660 Introduction to Numerical Analysis I 3(3,0)
Introduction to the
problems of numerical analysis emphasizing computational procedures
and
application. Topics include sources of error and conditioning, matrix
methods,
systems of linear equations, nonlinear equations, interpolation and
approximation by splines, polynomials and trigonometric functions.
Preq: MTHSC 206 or MTHSC 207 and MTHSC 360 or
equivalent.
MTHSC 463, H463, 663 Mathematical Analysis 1 3(3,0)
Basic
properties of the real
number system, sequences and limits; continuous functions, uniform
continuity
and convergence. Integration, differentiation, functions of several
real
variables, implicit function theory. Preq: MTHSC
206.
MTHSC 464, H464, 664 Mathematical Analysis II 3(3,0)
Continuation of MTHSC 463 .
MTHSC 481 Seminar in Mathematics 1-3(1-3,0)
Attention will
be focused upon
mathematical areas in which nonroutine problems can be posed with
comparative
ease. Emphasis will be upon independent study and student use of
previously
acquired mathematical skills. Open to students only by invitation for
not more
than 3 hours credit.
Credit toward graduation will be given for only one of the
following:
EX ST 301. MTHSC
301, 302.
See listings for Experimental Statistics
See listings for Computer Sciences
To top of listings
This is a project of the Ad Hoc Committee on Recruitment,
Advising and Retention of the Department of Mathematical Sciences
Author:
Calvin
L. Williams,
Mathematical Sciences-Clemson
University,
Clemson University
Last updated:
March 30, 1997
Send Comments to :
calvinw@math.clemson.edu