# Mathematics Courses

BUAD 362 Consumer Behavior

BUAD 400 Business Strategies

COMM 240 Principles of Advertising

COMM 260 Principles of Public Relations

ECON 101 Principles of Microeconomics

ECON 102 Principles of Intl & Macroeconomics

INT 222 Social Science Statistics

MKTC 300 Integrated Promotional & Brand Strategy

MKTC 401 Senior Seminar

Elective Courses (select two):

BUAD 211 Managerial Accounting

BUAD 250 The Female Executive: Strategies in the

Workplace

BUAD 306 The Entrepreneur: Starting, Marketing

& Managing a Small Business

BUAD 332 Sales Strategy & Negotiation

BUAD 360 Retail, Services & Internet Marketing

BUAD 350 Project Management

COMM 100 Public Speaking

COMM 210 Interpersonal Communication

COMM 215 Mass Communication

MKTC 387 Marketing Communication Internship

It is recommended that ECON 101 and 102 be completed

in the freshman or sophomore year. Students may

substitute BUAD 211 for ECON 102, but must petition the

BUAD department to do so. The following courses are

not required, but are highly recommended, especially

for students planning to seek a masters in business

administration: BUAD 350, COMM 215, COMM 230,

BUAD 202, BUAD 211, BUAD 220, BUAD 312 or BUAD

340, ECON/POLS 301, and MATH 213.

**Requirements for the Minor in
Marketing Communication**

21 semester hours, including COMM 240, MKTC 300,

BUAD 200, BUAD 230, plus three classes from the following:

BUAD 307, BUAD 336, BUAD 338, BUAD 360,

BUAD 362, and COMM 260.

**Course Descriptions**

300 Integrated Promotional & Brand Strategy

300 Integrated Promotional & Brand Strategy

Fall (alternate years) (3 s.h.) McPherson

Students will develop integrated marketing communication

campaigns for local, regional, or national

organizations. These group projects will involve

research, planning, execution, evaluation, and formal

presentation. The course will also examine case studies

to explore the integration of advertising, public relations,

and marketing as applied to actual communication

problems and opportunities.

**387 Marketing Communication Internship**

(3 s.h.) McPherson

For course details see Experiential Learning under

Academic Regulations and Procedures.

**401 Senior Seminar**

(3 s.h.) McPherson

This is the keystone course, completed in the final

semester of the student’s senior year. The student conducts

a thorough review of a selected firm or competitive

industry, including collection of customer communication

components, analysis of competitive environment, and

determination of a revised relevant target market and

marketing mix. The student then develops alternative

strategies, writes a comprehensive recommendation, and

produces a variety of new marketing communication components

in a format ready for client presentation. The

student makes an oral presentation of his or her recommendations .

A primary course goal is to generate a

professional-quality and comprehensive sample worthy of

inclusion in the student’s portfolio to submit to potential

employers.

Mathematics

Michael Gentry, Bruce Hemp, John Ong, Adrian

Riskin, Rebecca Williams

Requirements for the Major in Mathematics

At least 33 semester hours of mathematics in courses

above 200 and including MATH 231, MATH 252, MATH

302, MATH 322, and MATH 400–401. MATH 213 does

not count toward the major in mathematics. Students

working toward a BS in mathematics must complete

PHYS 201-202 and CIS/CS 205 in addition to at least two

200-level lab science courses.

**Senior Requirement in Mathematics**

Senior requirement for students majoring in mathematics

is met by successful completion of MATH

400–401 and the senior project.

**Requirements for the Major in Applied
Mathematics**

At least 38 semester hours including the following

courses: CHEM 111; PHYS 201-202; MATH 211, MATH

212, MATH 231, MATH 301, MATH 302, MATH 306,

MATH 322; and the successful completion of the senior

requirement, MATH 400D. A minimum of two electives

selected from the following: CIS/CS 205; MATH 252,

MATH 304, MATH 311, MATH 312; also 30 semester

hours of transferable course work at the University of

Virginia, approved by the School of Engineering. It is

recommended that a student in this major do an externship

or a summer course in engineering.

**Senior Requirement in Applied Mathematics**

Senior requirement for students majoring in applied

mathematics, MATH 400D, will consist of a directed

study of partial differential equations , or comparable

area of mathematics, and the application of that area to

a significant engineering problem. Students will present

their projects to the mathematics senior seminar in the

spring of their third (last) year at Mary Baldwin College.

**Recommended Programs**

For teachers of mathematics:

MATH 211, MATH 212, MATH 221, MATH 231, MATH

252, MATH 301, MATH 302, MATH 311, MATH 322,

MATH 341, and MATH 400–401, and teaching assistantship

in mathematics.

For graduate study in mathematics:

MATH 211, MATH 212, MATH 221, MATH 231, MATH

252, MATH 301, MATH 302, MATH 304, MATH 306,

MATH 311, MATH 312, MATH 322, MATH 341, and

MATH 400–401 in both the junior and senior year.

For graduate study in computer science:

CIS/CS 205, CIS/CS 215, CIS/CS 300; MATH 211, MATH

212, MATH 221, MATH 231, MATH 252, MATH 301,

MATH 302, MATH 304, MATH 306, MATH 311, MATH

322, MATH 400–401; externship in computer science

and directed inquiry in mathematics.

For graduate study in statistics:

MATH 211, MATH 212, MATH 214, MATH 231, MATH

252, MATH 301, MATH 302, MATH 304, MATH 306,

MATH 311, MATH 312, MATH 322, and MATH 400–401;

together with CIS/CS 205 and other CIS/CS courses.

For business/industry:

Third or fourth program described above.

**Requirements for the Minor in Mathematics**

18 hours in mathematics at the 200-level or higher

including MATH 211, MATH 212, MATH 231 and MATH

252, but excluding MATH 213.

**Mathematics Courses**

130 Basic Mathematical Concepts

150 College Algebra

156 Mathematics for Prospective

Elementary School Teachers

157 Topics in Geometry

161 The Nature of Mathematics

171 Precalculus

211 Introduction to Calculus and

Analytical Geometry I

212 Introduction to Calculus and

Analytical Geometry II

213 Introduction to Statistics

214 Intermediate Statistical Methods

221 History of Mathematics (global awareness)

231 Discrete Mathematical Structures

252 Problem Solving Seminar

301 Multivariable Calculus I

302 Multivariable Calculus II

304 Numerical Analysis and Computing

306 Ordinary Differential Equations

311 Probability and Distribution Theory

312 Mathematical Statistics

322 Linear Algebra

341 Modern Geometry

370 Colloquium in Mathematics

400 Senior Mathematics I: Abstract Algebra

or Real Analysis

401 Senior Mathematics II

Directed inquiries, teaching assistantships, and internships

in mathematics can be arranged on an individual

basis. Teaching assistantships and internships may

include service-oriented work in the community in fulfillment

of the requirements of the civic engagement

emphasis contract.

**Course Descriptions**

130 Basic Mathematical Concepts

130 Basic Mathematical Concepts

(3 s.h.) Staff

This course is not open to any student who has passed

MBC’s Mathematics Proficiency Exam, scored 480 or

higher on the mathematics portion of the SAT, or passed a

college-level mathematics course. Topics covered include

real numbers, variable expressions, linear equations,

applications of linear equations, polynomial arithmetic ,

and factoring. A computer-based, instructional delivery

system will be available for students who require additional

practice outside the classroom. This course does

not fulfill the mathematical reasoning General Education

Requirement.

**150 College Algebra**

(3 s.h.) Staff

Students are provided with a background in college

algebra appropriate for the application of mathematics in

other disciplines and for further study. Topics include

basic algebraic manipulations, polynomials, exponents

and radicals, graphing, systems of linear equations and

inequalities, quadratic and polynomial equations, and an

introduction to functions. Emphasis is on logical analysis

and deduction and on algebraic and problem solving

skills. This course is open to students who have scored

480 or above on the mathematics portion of the SAT (19

or above for the ACT), or have passed the MATH 130

exemption exam, or have passed MATH 130.

**156 Mathematics for Prospective Elementary**

School Teachers

School Teachers

(3 s.h.) Staff

This course is designed for students who wish to become

elementary school teachers, although it satisfies the mathematical

reasoning requirement for all students. Topics

include discrete probability, basic descriptive statistics,

basic geometry, and other topics that include both content

and process knowledge. The emphasis is on building

mathematical reasoning skills and on applying mathematical

concepts to diverse situations. Prerequisites: MATH

150 and a passing score on the mathematics portion of

the PRAXIS.

**157 Topics in Geometry**

(3 s.h.) Staff

Prerequisites: MATH 150 and high school geometry.

This course is designed to give students an introduction to

Euclidean geometry, axiomatics, and deductive reasoning.

Emphasis will be on open exploration and conjecturing,

visualization, analysis, informal deduction, and other

levels of geometric thinking in order to give students a

broad view of classical geometry. Geometer’s Sketchpad

will be used to conduct computer investigations.

**161 The Nature of Mathematics**

(3 s.h.)

A knowledge of mathematics strengthens the way we

know, perceive, and understand our surroundings. This

course provides glimpses into the nature of mathematics

and how it is used to understand our world. Topics to be

studied include the mathematics of finance, combinatorics

and probability, apportionment and voting, and logic or

descriptive statistics or mathematical systems, with additional

topics selected from among: problem solving, sets,

logic, numeration systems, number theory, mathematical

systems, applications of first-degree and second-degree

equations, applications of functions, basic concepts of

geometry, fractals, and graph theory. A course of this

nature will give students insight into what mathematics is,

what it attempts to accomplish, and how mathematicians

think. Students who successfully complete the course will

better understand the world they inhabit, and they will be

better prepared to take their respective places in our

society as informed citizens. This course is open to students

who have scored 480 or above on the mathematics

portion of the SAT (19 or above for the ACT), or have

passed the MATH 130 exemption exam, or have passed

MATH 130.

**171 Pre-Calculus**

(3 s.h.) Staff

Prerequisite: MATH 150 or equivalent

This course develops the general properties of the mathematical

construct called functions and explores the

conceptual relationships between functions, graphs,

data, and the modeling of the physical world via mathematics.

In addition to the general properties of

functions, students taking the course should gain familiarity

with the specific mathematical properties of

algebraic functions, trigonometric functions, logarithmic

functions, and exponential functions. The main emphasis

will be on developing the trigonometric functions and

their properties, as they play an indispensable role in the

modeling of physical phenomena within the calculus

sequence. The course also provides students with the

opportunity to practice regularly the algebraic techniques

that will be used in the study of calculus.

Included is a project on modeling and problem solving

that introduces students to the graphing and algebraic

capabilities of the mathematical software Derive.

**211, 212Introduction to Calculus and Analytic
Geometry I, II**

(4 s.h. each) Staff

Prerequisite: MATH 171

This sequence is required for mathematics majors and

useful for majors in economics, natural science, and

social science. MATH 211 treats the basic concepts of

differential calculus and its applications. After the derivative

is developed and the major rules of differentiation

covered, applications follow in the areas of graphing,

max-min problems, related rate problems, and an introduction

to the definite integral.

MATH 212 develops the concept of the definite

integral and its application to area, volume, work, arc

length, and center of mass. Considerable attention is

paid to the calculus of exponential, logarithmic, and

trigonometric functions. The last few weeks are devoted

to the major techniques of integration.

213 Introduction to Statistics

213 Introduction to Statistics

(3 s.h.) Staff

Prerequisite: MATH 150 or higher

An introduction to statistical inference for students in

applied disciplines, such as business, economics, and

the physical and life sciences, that is designed to bridge

the gap between the theoretical foundations of statistics

and the need to extract useful decision-making information

from data. Topics include measures of central

tendency and dispersion, discrete and continuous

random variables, sampling distributions and the Central

Limit Theorem, statistical control charts , parameter estimation,

hypothesis testing, linear correlation and

regression, and analysis of contingency tables. Minitab, a

statistical software package, is used to illustrate and

reinforce the material presented.

**214 Intermediate Statistical Methods**

Offered as needed (3 s.h.) Staff

Prerequisite: MATH 213 or

ECON/BUAD/COMM/HCA/POLS/SOC 222

A second course in the principles and procedures of

applied statistics. It is strongly recommended for students

in the behavioral, social, managerial and physical

sciences. Attention will be focused on use of the Minitab

computer package, analysis of variance, contingency

table analysis, multiple linear regression, and nonparametric

statistical methods.

**221 History of Mathematics**

(3 s.h.) Staff

Prerequisites: MATH 211, MATH 212

This course reflects the College’s emphasis on global

awareness. Mathematics has a fascinating history, interwoven

with striking personalities and outstanding

achievements and contributions from many different countries

throughout the world. This course includes highlights

in the development of mathematics and addresses the scientific,

humanistic, and global import of the subject. Some

mathematical maturity is required to appreciate the historical

development, especially since 1700.

**231 Discrete Mathematical Structures**

(3 s.h.) Staff

Prerequisites: MATH 211; or permission of the instructor

The course treats selected topics in mathematics that

have substantial application to computer science and also

serves as an introduction to techniques of theoretical

mathematics. Included are logical deduction and proof,

mathematical induction, algorithms, algebraic structures,

automata and formal languages, and graph theory.

The course is intended to promote development of

skills in logical deduction, analysis, and problem

solving, as well as providing the mathematical foundation

of much of computer science. Some computer

programming may be required.

**252 Problem Solving Seminar**

(1 s.h.) Staff

Prerequisites: MATH 212, MATH 231

The seminar explores a wide range of quantitative problems

at various levels of difficulty and involving a variety

of mathematical techniques. Students are presented with

problems and asked to find methods of solution . They

present those methods informally to the seminar group.

Some real-world problems from business or industry

may be considered.

The content of the seminar, in terms of specific

problems, will vary from year to year. Students may take

the seminar more than once for credit.

**301 Multivariable Calculus I**

(3 s.h.) Staff

Prerequisites: MATH 211, 212

For students pursuing a career in mathematics, computer

science, engineering, economics, actuarial

science, statistics, or the physical sciences. Topics to be

studied include indeterminate forms, improper integrals,

infinite series, polar coordinates, parametric

equations, vectors and vector- valued functions . Derive, a

symbolic computer algebra system, will be used to

explore a variety of non-routine problems.

**302 Multivariable Calculus II**

(3 s.h.) Staff

Prerequisite: MATH 301

Topics to be studied include partial differentiation, multiple

integrals, and vector calculus. Derive, a symbolic

computer algebra system, will be used to explore a

variety of non-routine problems.

**304 Numerical Analysis and Computing**

(Alternate years) (3 s.h.) Staff

Prerequisite: MATH 301

This course introduces students to the techniques and

algorithms that are used in numerical computing.

Topics include the numerical solution of equations

(including differential equations), interpolation,

approximation and iteration theory, and numerical differentiation

and integration. The concepts of error

analysis, stability and the convergence of solutions will

also be discussed. Students will be made aware of the

software tools that exist in the field of numerical computing

today, and they will be solving problems

numerically with a text CD rom or the software Maple.

In the course, they will be required to solve a problem

numerically that has been presented by the Society for

Industrial and Applied Mathematics.

306 Ordinary Differential Equations

(Alternate years) (3 s.h.) Staff

Prerequisite: MATH 212 or equivalent

Designed for students planning careers in mathematics,

engineering, economics, actuarial science, or the biological

or physical sciences. Topics to be studied

include separable first-order equations; integrating

factors and exact equations; initial-value problems;

linear first-order equations with applications to radioactive

decay, population growth, economic models,

cooling and falling bodies; vector spaces; linear

dependence; the Wronskian; linear homogeneous differ-

ential equations with constant coefficients ; Cauchy-Euler

equations, variation of parameters; the method of undetermined

coefficients; applications of second-order

equations to simple harmonic motion and electrical circuits;

Laplace Transform; matrix methods; and infinite

series solutions.

311 Probability and Distribution Theory

(3 s.h.) Staff

Prerequisites: MATH 211 and 212

An introduction to mathematical statistics. Topics to be

studied include sample-point and event-composition

methods for calculating the probability of an event;

Bayes’ rule; the binomial , geometric, hypergeometric

and Poisson probability distributions; mathematical

expectations; moment-generating functions;

Tchebysheff’s theorem; continuous random variables and

their probability distributions; multivariate probability

distributions; and functions of random variables. This

course is recommended for students planning to work in

industry.

**312 Mathematical Statistics**

(3 s.h.) Staff

Prerequisite: MATH 311

An introduction to applied statistics. Topics include point

and interval estimation; hypothesis testing using the z, t,

x2 and F distributions; regression and correlation;

analysis of variance; contingency table analysis; Shewhart

control charts, measurement system evaluation, and

process capability studies. Recommended for students

planning to work in industry.

**322 Linear Algebra**

(Alternate years) (3 s.h.) Staff

Prerequisites: MATH 211 and 231

This course quickly reviews matrices and systems of

linear equations, then covers vector space concepts,

inner product spaces and orthogonality, the eigenvalue

problem, and linear transformations with a matrix

emphasis. Use of deductive logic and the development of

a mathematical system will be emphasized. Applications

will appear for topics such as the least squares problem

and differential equations. Issues related to numerical

linear algebra will be discussed.

**341 Modern Geometry**

(3 s.h.) Staff

Prerequisite: MATH 231

A study of the various geometries, including Euclidean,

non-Euclidean, and projective geometry, and of the

abstract axiomatic method in mathematics. The course is

designed to treat the role of geometry in mathematics

and the relationships among the various geometries, to

promote better understanding of the axiomatic method

and the historical significance of non-Euclidean geometry,

and to improve skills in deduction and abstract

mathematical reasoning. Strongly recommended for students

planning to teach mathematics as well as providing

excellent background for graduate study in mathematics.

**370 Colloquium in Mathematics**

(3 s.h.) Staff

Colloquium is offered periodically and is devoted to

selected topics in mathematics that are not treated in

regular courses.

**400, 401Senior Mathematics I, II**

(3 s.h. each) Staff

Prerequisites: MATH 302 and MATH 322

This two semester sequence addresses selected topics in

theoretical mathematics, explores relationships among

the major branches of mathematics, and serves as the

senior requirement for mathematics majors. The content

of MATH 400 alternates between abstract algebra one

year, which includes groups, rings, integral domains,

and fields; and real analysis the next year, which

includes properties of the real numbers, limits of

sequences and functions, continuity, and the theoretical

foundations for calculus. Emphasis is on the logical

structure of mathematical systems and the use of conjectural

inductivism and deductive logic in mathematics.

MATH 400 may be taken twice for credit since the

content changes in alternate years.

The content of MATH 401 varies from year to year

and addresses selected topics in theoretical mathematics

— e.g., complex variables , number theory, combina-torics

and graph theory, set theory, history and

philosophy of mathematics, probability theory and stochastic

processes, statistical theory, numerical analysis,

topology, partial differential equations, functional

analysis, and general applied mathematics.

MATH 400 and MATH 401 provide the structure

under which students complete their senior projects.

Each student completes a research project in an area

related to the content of the course. The student then

writes a senior paper based on the results of her

research project. The results of the senior paper are

presented orally to the class and the members of the

mathematics faculty. MATH 400 and MATH 401 are

required of all mathematics majors. Adult Degree

Program students may substitute standard courses in

abstract algebra and real analysis from another institution;

however, they must still complete a senior research

project and present the results to the class and faculty

members.

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