The Specifics
Requirements for the Major and Minor in Mathematics
Students who wish to major in mathematics should select an option based on their plans after graduation as follows:
For students who wish to prepare for graduate school or to pursue a mathematically oriented professional career, the following courses are required: MATH 201, 202*, 221*, 301, 302, 305, 307, 309, 311 or 401, 313, 314, 405, 406, 440; CSC 241 or 250.
For students who wish to combine a strong background in mathematics with in-depth study in another area, the following courses are required: MATH 201, 202*, 221*, 301, 302, 305 or 350, 307, 311, 401, 440, and one mathematics elective numbered 300 or higher; MATH 210 or SAT 319; CSC 241 or 250; the minor (or major) in one of the natural or social sciences, namely accounting, biology, business administration, chemistry, computer science, economics, physics, political science, psychology, or sociology.
For students who want to be certified to teach mathematics in the high school setting, the following courses are required for the major in mathematics: MATH 108, 201, 202*, 208, 221*, 301, 302, 307, 309, 313, 441; EDMS 350; and MATH 210. Students should complete all other courses required for teacher certification and meet the criteria for acceptance into the Teacher Education Program. See Teacher Education and Certification on pages 33 and 87 for more information. Candidates are highly encouraged to consult with their faculty advisor in the Department of Mathematics within their freshman year.
*Math majors must make a grade of “C” or better in MATH 202 and 221.
Students minoring in math must take MATH 201, 202, 221, 301, and 2 additional 3-hour math courses numbered 300 or higher.
It is crucial that prospective Middle School Education majors planning a concentration in math take MATH 201 and MATH 221 no later than their Sophomore year. Please see page 67 for more details.
General Education Requirements
105. College Algebra (3)
(Offered on a pass/fail basis only; does not satisfy the general education requirement in mathematics) A basic review of algebra designed to prepare students for more advanced courses. This course is reserved for students who have struggled with algebra in high school. Topics include equations and inequalities, the function concept, inverse functions, graphs of functions, polynomial and rational functions, and exponential and logarithmic functions. Students who have received credit for a math course beyond MATH 105 may not take this course.
108. Finite Mathematics (3)
A study of selected topics from finite mathematics: finance (including annuities), systems of equations, applications of matrices, counting methods, elementary set theory, and basic probability and statistics.
110. Mathematics for the Liberal Arts (3)
This course will provide a survey
of mathemat ics emphas izing
problem-solving, critical thinking,
and quantitative reasoning. Topics
will vary and will be chosen by the
instructor. The focus will be on
mathematics as encountered in the
world and the connections between
mathematics and the liberal arts.
196. Precalculus (3)
Pre-Calculus is a thorough study
of topics in mathematics involving
algebra and trigonometry designed
to prepare students to progress
into introductory calculus (Mat
201). Topics will include inverse
functions, right triangle and
unit circle approaches to the
trigonometry, graphs of functions,
inverse trigonometric functions,
and trigonometric identities,
solving equations, applications
using the Law of Sines and Law of
Cosines, and other algebraic topics.
201. Calculus I and Analytic Geometry (3)
(Students may not receive credit for both MATH 201 and MATH 211) The first of a four-course sequence of calculus and analytic geometry. Although topics covered in each of the four courses will vary with the textbook used, this course includes topics from analytic geometry, limits, continuity of functions, the derivative, differentiation techniques for algebraic and trigonometric functions, and applications of the derivative to graphing, maxima/minima problems, and related rates.
202. Calculus II (3)
(Prereq: MATH 201; math majors must make a grade of "C" or better) A continuation of MATH 201 with the definite integral; applications of the definite integral in finding areas, volumes, work, and arc length; differentiation and integration of exponential, logarithmic, and other transcendental functions; and techniques of integration, including integration by parts, substitutions, partial fractions, and tables.
208. Discrete Mathematics (3)
(Prereq: completion of general education requirement in mathematics) An introduction to discrete mathematics. Topics include set theory, logic, mathematical induction, discrete functions, recurrence relations, algorithms, graph theory, and combinatorics.
210. Applied Statistics (3)
(Students may not receive credit
for both MATH 210 and either of
STAT 319 or 320.) This course is a
data-oriented approach it analyzing
the data by arguing from the sample
to the population. Topics include
numeric and graphical measures of
describing data, density curves, the
normal random variable, interpreting
scatterplots, correlation, least squares
regression, sampling, experimental
design, discrete and continuous
probabi l i ty model s , random
variables, sampling distribution
for counts, proportions and sample
means, inference about means and
proportions, analysis of two-way
tables, multiple regression, oneand
two-way analysis of variance,
bootstrap methods, nonparametric
methods, and logistic regression.
211. Calculus for the Social and Biological Sciences (3)
(Students may not receive credit for both MATH 201 and MATH 211) A one-semester introduction to the differential and integral calculus of algebraic, exponential, and logarithmic functions with applications in the social and biological sciences, including business and economics. This is a terminal course and does not prepare the student for MATH 202.
221. Transition to Advanced Mathematics (3)
(Prereq: MATH 201 or MATH 202 with consent of instructor. Math majors must make a grade of “C” or better) This course is a prerequisite for MATH 305, 307, 309, 311, 313, and 405 and is required for all math majors and minors. It is designed to prepare a student for advanced math courses and will cover concepts and techniques used in studying logic, proofs, set theory, relations, functions, and cardinality of sets.
258. Special Topics (1-6)
301. Calculus III (3)
(Prereq: MATH 202) A continuation of MATH 201 and 202. Topics covered will include indeterminate forms, improper integrals, sequences and series, power series, conic sections, and curves given by parametric and polar equations with applications of derivatives and integrals to these curves.
302. Calculus IV (3)
(Prereq: MATH 301) The last course in the four-course calculus sequence. Topics are multivariate calculus, including solid analytic geometry; vectors in three dimensions; vector-valued functions, functions of several variables; partial derivatives; and multiple integrals.
305. Complex Variables (3)
(Prereq: MATH 221 and 302) This course is a study of the complex plane and the calculus of functions of a complex variable. Topics to be considered include the algebra and geometry of complex numbers, limits and derivatives of functions of a complex variable, the Cauchy-Riemann equations, contour integrals, Taylor and Laurent series, and residues. (Alternate years)
307. Linear Algebra (3)
(Prereq: MATH 202) A study of vector spaces, subspaces, bases, and dimension with applications to solving systems of equations. Also includes linear transformations, representation of linear transformations by matrices, eigenvalues, eigenvectors, and diagonalizing matrices.
309. Modern College Geometry (3)
(Prereq: MATH 201 and 221) A study of the axiomatic method, neutral geometry, plane Euclidean geometry, and plane hyperbolic geometry. (Alternate years)
311. Mathematical Statistics (3)
(Prereq: MATH 221 and 302 or MATH 221 and 301 with consent of instructor) A calculus-based introduction to probability with some application to statistics. (Alternate years)
313-314. Abstract Algebra (3 each sem)
(Prereq: MATH 202 and 221 or consent of instructor; MATH 313 for MATH 314) These courses cover algebraic structures such as groups, subgroups, quotient groups, rings, ideals, integral domains, fields, and polynomial rings and the relationships of these structures to the number system.
(Alternate years)
350. Numerical Methods (3)
(Prereq: CSC 250 or 241 and MATH 202 or consent of instructor; crosslisted with CSC 350) A study of the use of the computer to solve mathematical problems of interest to scientists and engineers. Topics include function approximation, numerical differentiation and integration, systems of linear equations, least-squares fitting, function minimization, and Monte-Carlo methods. Special emphasis is placed on using matrix methods where appropriate. Students are expected to write several programs illustrating these topics. (Alternate years)
398. Honors Research (3-6)
401. Differential Equations (3)
(Prereq: MATH 302 or 301 and consent of instructor) This course includes first and second order differential equations and linear equations with constant and variable coefficients.
405-406. Introduction to Analysis (3 each sem)
(Prereq: MATH 221 and 302; MATH 405 for MATH 406) These courses include topics such as the real number system, the completeness property, numerical sequences and series, continuity and uniform continuity of functions, differentiation, the Riemann integral, sequences and series of functions, and metric spaces
(Alternate years)
440. Senior Capstone in Mathematics (3)
(Prereq: Option I or II Senior Math Majors) A seminar for senior Option I and Option II majors, emphasizing the application of previous content to the study of new topics. The supervising faculty member(s) will facilitate students' projects, including both written and oral presentations.
441 Senior Capstone in Teaching Mathematics (1)
(Prereq: Option III Senior Math Majors; coreq: EDSD 400, 401, 402) The capstone for senior Option III majors will be taken in conjunction with student teaching. Students will keep a journal to reflect upon their mastery of mathematical knowledge and their understanding of teaching and learning. The supervising faculty member(s) will observe and assess the majors' content knowledge and student teaching.
442. Directed Study in Mathematics (1 to 3). See page 28.
Hours and credit arranged to meet the needs of the student. Open to junior and senior departmental majors by special permission. Subject matter pertaining to the student's field of interest.
444. Internships
446. Readings.
448. Research.
450. Seminar.
452. Special Projects
458. Special Topics.
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