Undergraduate Course Descriptions and Prerequisites
Notes:
- Unless otherwise noted, the courses listed are offered during both fall and spring
semesters. Course offerings during the summer vary from year to year.
- The code QM by a course title signifies a course that fulfills part
of the
General Education Quantitative Methods Requirement.
- The code XMW by a course title signifies a course that fulfills part
of the Major
Works and Major Issues Exit Requirement.
1000-Level Math Courses
MAC 1105 — COLLEGE ALGEBRA -QM (3)
[Syllabus]
Concepts of the real number system,
functions, graphs, and complex numbers. Analytic skills for solving linear, quadratic,
polynomial, exponential, and logarithmic equations. Mathematical modeling of real-life
applications.
Prerequisite(s): C (2.0) or better in MAT 1033, or SAT Math score of
490 or better, or ACT Math score of 21 or better, or
Elementary Algebra CPT score of 90 or better, or College-Level Math CPT
score of 40 or better.
MAC 1114 — PRECALCULUS TRIGONOMETRY (2)
[Syllabus]
Angles, trigonometric functions, properties
and graphs of trigonometric functions, right triangles, laws of sines and cosines. (No
credit for students with credit in MAC 1147.)
Prerequisite(s): C (2.0) or better in MAC 1105, or SAT Math score of
550 or better, or ACT Math score of 24 or better, or
College-Level Math CPT score of 60 or better.
MAC 1140 — PRECALCULUS ALGEBRA -QM (3)
Review of functions and graphs. Polar
coordinates; Analytic geometry, including conic sections and rotation of axes; Systems of
equations, including matrix algebra and determinants; Sequences and series; Binomial
theorem. (No credit for students with credit in MAC 1147. Students should either have
taken MAC 1114 previously or be taking it concurrently.)
Prerequisite(s): C (2.0) or better in MAC 1105, or SAT Math score of
550 or better, or ACT Math score of 24 or better, or
College-Level Math CPT score of 60 or better.
Note: This course is no longer taught at USF.
MAC 1147 — PRECALCULUS ALGEBRA AND TRIGONOMETRY -QM (4)
[Syllabus]
This is an accelerated combination of MAC
1114 and MAC 1140. Students in this course should already have seen some trigonometry. (No
credit for students with credit in MAC 1114 or MAC 1140.)
Prerequisite(s): C (2.0) or better in MAC 1105, or SAT Math score of
550 or better, or ACT Math score of 24 or better, or
College-Level Math CPT score of 60 or better.
MGF 1106 — FINITE MATHEMATICS -QM (3)
[Syllabus]
Topics include mathematical logic, sets,
counting techniques, probability, statistics, and geometry.
Prerequisite(s): C (2.0) or better in MAT 1033, or SAT Math score of
440 or better, or ACT Math score of 19 or better, or
Elementary Algebra CPT score of 72 or better.
MGF 1107 — MATHEMATICS FOR LIBERAL ARTS -QM (3)
[Syllabus]
Topics include voting techniques, graph
theory, fair division, scheduling, and linear and exponential growth.
Prerequisite(s): C (2.0) or better in MAT 1033, or SAT Math score
of 440 or better, or ACT Math score of 19 or better, or
Elementary Algebra CPT score of 72 or better.
MGF 1108 — SELECTED TOPICS IN LIBERAL ARTS MATHEMATICS (3)
Topics in this course are similar to those
in MGF 1106 or MGF 1107. This course may be repeated for credit with the consent of the
instructor.
Note: This course is no longer taught at USF.
MGF 1116 — MATHEMATICAL EXPERIENCE (3)
Introduction to some important and
interesting basic ideas in mathematics with an emphasis on a mathematical way of thinking.
Concepts such as definitions, axioms, and proofs are explained. Examples from number
theory, combinatorics, algebra, and geometry are used. Some topics are presented in their
historical context and their impact on the development of mathematics is discussed.
Note: This course is no longer taught at USF.
MGF 1131 — CHAOS AND FRACTALS -QM (3)
Computer experiments in the behavior of
functions under iteration: periodicity, attractors, stability, complex numbers, Cantor
set, fractional dimension, sensitive dependence.
Prerequisite(s): C (2.0) or better in MAT 1033, or SAT Math score
of 440 or better, or ACT Math score of 19 or better, or
Elementary Algebra CPT score of 72 or better.
Note: This course is no longer taught at USF.
2000-Level Math Courses
MAC 2233 — BUSINESS CALCULUS -QM (4)
[Syllabus]
Linear equations and functions, mathematics
of finance, differentiation and integration of algebraic functions with applications to
business, finance, and economics. (No credit for math majors or students with credit in
MAC 2241, MAC 2281, or MAC 2311.)
Prerequisite(s): C (2.0) or better in MAC 1105, or C (2.0) or better
in MAC 1140, or C (2.0) or better in MAC 1147, or SAT Math
score of 590 or better, or ACT Math score of 26 or better, or
College-Level Math CPT score of 78 or better.
MAC 2241 — LIFE SCIENCES CALCULUS I -QM (4)
[Syllabus]
Differentiation and integration of
algebraic, trigonometric, exponential, and logarithmic functions with applications to
biological sciences. (No credit for math majors or students with credit in MAC 2233, MAC
2281, or MAC 2311.)
Prerequisite(s): C (2.0) or better in MAC 1114, or C (2.0) or better
in MAC 1147, or SAT Math score of 650 or better, or ACT Math
score of 29 or better, or College-Level Math CPT score of 90 or better,
and knowledge of trigonometry.
MAC 2242 — LIFE SCIENCES CALCULUS II -QM (4)
[Syllabus]
Techniques of integration, differential
equations, functions of several variables, series, and Taylor polynomials. (No credit for
math majors or students with credit in MAC 2282 or MAC 2312.)
Prerequisite(s): C (2.0) or better in MAC 2241.
MAC 2281 — ENGINEERING CALCULUS I -QM (4)
[Syllabus]
Limits, differentiation, differentials,
extrema, indefinite integrals. (No credit for students with credit in MAC 2233, MAC
2241, or MAC 2311.)
Prerequisite(s): C (2.0) or better in MAC 1114 and C (2.0) or better
in MAC 1140, or C (2.0) or better in MAC 1147, or SAT Math
score of 650 or better, or ACT Math score of 29 or better, or
College-Level Math CPT score of 90 or better, and knowledge of trigonometry.
MAC 2282 — ENGINEERING CALCULUS II -QM (4)
[Syllabus]
Techniques of integration for trigonometric,
exponential, and logarithmic functions, series, polar coordinates, applications. (No
credit for students with credit in MAC 2242 or MAC 2312.)
Prerequisite(s): C (2.0) or better in MAC 2281.
MAC 2283 — ENGINEERING CALCULUS III (4)
[Syllabus]
Functions of several variables, partial
derivatives, vector algebra, applications. (No credit for students with credit in MAC
2313.)
Prerequisite(s): C (2.0) or better in MAC 2282.
MAC 2311 — CALCULUS I -QM (4)
[Syllabus]
Limits, derivatives, applications. (No
credit for students with credit in MAC 2233, MAC 2241, or MAC 2281.)
Prerequisite(s): C (2.0) or better in MAC 1114 and C (2.0) or better
in MAC 1140, or C (2.0) or better in MAC 1147, or SAT Math
score of 650 or better, or ACT Math score of 29 or better, or
College-Level Math CPT score of 90 or better, and knowledge of trigonometry.
MAC 2312 — CALCULUS II -QM (4)
[Syllabus]
Antiderivatives, the definite integral,
applications, series, trigonometric, exponential, and logarithmic functions. (No credit
for students with credit in MAC 2242 or MAC 2282.)
Prerequisite(s): C (2.0) or better in MAC 2311.
MAC 2313 — CALCULUS III (4)
[Syllabus]
Integration, polar coordinates, conic
sections, vectors, indeterminate forms, and improper integrals. (No credit for students
with credit in MAC 2283.)
Prerequisite(s): C (2.0) or better in MAC 2312.
MAP 2302 — DIFFERENTIAL EQUATIONS (3)
[Syllabus]
First-order linear and nonlinear
differential equations, higher-order linear equations, applications.
Prerequisite(s): MAC 2283 or MAC 2313.
MAT 2930 — SELECTED TOPICS IN MATHEMATICS (1-4)
The course content will depend on the
interest of faculty members and student demand.
Prerequisite(s): CI.
MAT 2936 — TECHNOLOGY SEMINAR (1)
A two contact hour/week technology seminar
designed to acquaint students majoring in mathematics, physics, and other sciences with
the computer tools necessary for scientific communication and document preparation.
(S/U only. May not be repeated.)
Prerequisite(s): None.
Note: This course is no longer taught at USF.
3000-Level Math Courses
MAD 3100 — DISCRETE MATHEMATICS (3)
An introduction to some of the aspects of
discrete mathematics that are fundamental to digital computing. Topics include: sets,
numbers, algorithms, Boolean algebra, computer arithmetic, elementary combinatorics, and
an introduction to graph theory. (No credit towards Mathematics major.)
Prerequisite(s): MAC 2281 or MAC 2311.
Note: This course is only taught in the spring semester.
MAS 3105 — LINEAR ALGEBRA (4)
Linear systems, matrix algebra, vector
spaces, linear independence, inner product spaces. Gram-Schmidt algorithm, linear
transformations and matrix representations, determinants, eigenvalues, diagonalization,
quadratic forms.
Co-prerequisite(s): MAC 2283 or MAC 2313, and MGF
3301.
MGF 3301 — BRIDGE TO ABSTRACT MATHEMATICS -QM (4)
An introduction to the axiomatic nature
of mathematics through topics in areas such as set theory, algebra, and calculus. The
rigor of precise definitions, theorems, and proofs will be emphasized.
Co-prerequisite(s): MAC 2283 or MAC 2313, and MAS
3105.
MTG 3212 — GEOMETRY (3)
Emphasis on axiomatics, advanced Euclidean
geometry, elements of projective geometry, non-Euclidean geometry. (No credit towards
Mathematics major.)
Prerequisite(s): MAC 2281 or MAC 2311.
4000-Level Math Courses
COP 4313 — SYMBOLIC COMPUTATIONS IN MATHEMATICS (3)
Students will write programs to solve
problems in various areas of mathematics, including calculus and linear algebra, with
symbolic programming systems such as Maple, Mathematica, or Macsyma.
Prerequisite(s): MAP 2302 and MAS 3105.
MAA 4211 — INTERMEDIATE ANALYSIS (4)
Sequences, series, metric spaces,
continuity, differentiation.
Prerequisite(s): MAC 2313 and MGF 3301 and MAS 3105.
Note: This course is only taught in the fall semester.
MAA 4212 — INTRODUCTION TO REAL ANALYSIS (3)
Riemann-Stieltjes integration, uniform
convergence, and related topics. (No credit for students with credit in MAA 5306.)
Prerequisite(s): MAA 4211.
Note: This course is only taught in the spring semester.
MAA 4402 — COMPLEX VARIABLES (3)
Complex numbers, Cauchy-Riemann equations,
analytic and conformal functions, power series, Cauchy Integral Theorem, Cauchy Integral
Formula, residue theory. (No credit for students with credit in MAA 5405.)
Prerequisite(s): MAP 2302
Note: This course is only taught in the spring semester of even years.
MAD 4401 — NUMERICAL ANALYSIS (3)
Interpolation and quadrature, finite
differences, numerical solution of algebraic and transcendental equations, numerical
solution of differential equations, computer techniques.
Prerequisite(s): MAP 2302 and MAS 3105.
Note: This course is only taught in the fall semester of odd years.
MAD 4504 — THEORY OF COMPUTATION (3)
Mathematical aspects of alphabets and
languages. Chomsky's hierarchy. Grammars. Regular languages, grammars and finite state
machines. Context-free languages and grammars. Turing machines and languages.
Decidability. Inductive definition of functions and basic computable functions.
Introduction to computational complexity.
Prerequisite(s): MGF 3301 or MAD 3100.
Note: This course is only taught in the spring semester of even years.
MAP 4341 — Partial Differential Equations (3)
Separation of variables, Fourier series,
Sturm-Liouville problems, initial boundary value problems, Bessel functions and
Legendré polynomials.
Prerequisite(s): MAC 2313 and MAP 2302.
Note: This course is only taught in the spring semester of odd years.
MAS 4156 — VECTOR CALCULUS (4)
Implicit and inverse function theorems,
parametrized surfaces, submanifolds on Euclidean space, exterior calculus of differential
forms, differentiation of vector fields, line and surface integrals, Stokes' Theorem,
elementary continuous groups.
Prerequisite(s): MAC 2313 and MGF 3301 and MAS 3105.
MAS 4214 — ELEMENTARY NUMBER THEORY (3)
Divisibility, prime numbers, Fundamental
Theorem of Arithmetic, Diophantine equations, the algebra of congruences, number
functions, and other selected topics. (No credit towards Mathematics major.)
Prerequisite(s): MAC 2282 or MAC 2312.
Note: This course is only taught in the fall semester.
MAS 4301 — ELEMENTARY ABSTRACT ALGEBRA (3)
An introduction to the basic algebraic
structures: groups, rings, integral domains and fields; homeomorphisms, and isomorphisms.
Prerequisite(s): MGF 3301 and MAS 3105.
MAT 4906 — INDEPENDENT STUDY (1-4)
Specialized independent study determined
by the student's needs and interests. The written contract required by the College of
Arts & Sciences specifies the regulations governing independent study. (S/U only.
May be repeated.)
Prerequisite(s): CI.
Note: This course requires the approval of the Associate Chair.
MAT 4930 — SELECTED TOPICS IN MATHEMATICS (1-4)
The course content will depend on the
interest of faculty members and student demand.
Prerequisite(s): CI.
MAT 4937 — MATHEMATICS MAJORS SEMINAR (1)
Directed discussions on a variety of topics
of interest to mathematics majors, including career opportunities in mathematics. (S/U
only. May not be repeated.)
Prerequisite(s): MAS 4301.
Note: This seminar is not currently offered at USF.
MAT 4970 — MATHEMATICS SENIOR THESIS (3)
Course restricted to mathematics majors.
(S/U only.)
Prerequisite(s): Admission to Mathematics Honors Program and CC.
MHF 4403 — THE EARLY HISTORY OF MATHEMATICS -XMW (3)
A study of the history and development of
mathematics and its cultural impact from the formation of number systems to the
Renaissance. (No credit for students with credit in MHF 5402.)
Prerequisite(s): MAC 2312 and upper-level standing.
Note: This course is not offered during the spring semester of odd years.
MHF 4406 — HISTORY OF MODERN MATHEMATICS -XMW (3)
Traces the development of mathematical
ideas from the Renaissance to the 19th century. (No credit for students with credit in
MHF 5405.)
Prerequisite(s): MAC 2313 and upper-level standing.
Note: This course is only offered during the spring semester of odd years.
MTG 4214 — MODERN GEOMETRY (3)
Topics will be selected from modern plane
geometry. Möbius geometry, elliptic and hyperbolic geometry.
Co-prerequisite(s): MAS 4301 or CI.
Note: This course is only offered during the spring semester of even years.
MTG 4302 — INTRODUCTION TO TOPOLOGY (3)
Metric spaces, completeness, topological
spaces, subspaces, product spaces, continuity, homeomorphisms, connectedness, compactness,
separation axioms, countability axioms.
Prerequisite(s): MAC 2313 and MGF 3301 and MAS 3105.
Note: This course is only offered during the spring semester of odd years.
Undergraduate Statistics Courses
STA 1022 — BASIC STATISTICS -QM (3)
Basic philosophy of statistical thinking.
Acquisition of data. Techniques for organizing and presenting statistical data. Sample
mean, variance, and standard deviation. Statistical decisions—estimation and
hypothesis testing. Design of experiments, linear association and prediction. Statistical
software. (No credit towards Mathematics major.)
Prerequisite(s): C (2.0) or better in MAT 1033, or SAT Math score
of 440 or better, or ACT Math score of 19 or better, or
Elementary Algebra CPT score of 72 or better.
STA 2023 — INTRODUCTORY STATISTICS I -QM (4)
Descriptive statistics, basic probability
principles, discrete and continuous probability distributions: binomial, normal,
t, and chi-square; point estimation, confidence limits and hypothesis testing.
Emphasis on applications to social sciences, life sciences, physical sciences,
engineering, and business. (No credit for students with credit in QMB 2100 or STA 2122.
No credit towards Mathematics major.)
Prerequisite(s): C (2.0) or better in MAT 1033, or SAT Math score
of 440 or better, or ACT Math score of 19 or better, or
Elementary Algebra CPT score of 72 or better.
STA 3024 — INTRODUCTORY STATISTICS II (3)
Factorials, ANDOV; multiple curvilinear
regression; response surfaces; Latin squares, Split Plots, incomplete designs;
distribution free methods.
Prerequisite(s): STA 2023.
STA 4222 — SAMPLE SURVEY DESIGN (3)
An introduction to the design of sample
surveys and the analysis of survey data, the course emphasizes practical applications
of survey methodology. Topics include sources of errors in surveys, questionnaire
construction, simple random, stratified, systematic and cluster sampling, ratio and
regression estimation, and a selection of special topics such as applications to quality
control and environmental science.
Prerequisite(s): STA 3024.
Note: This course is only offered during the spring semester of even years.
STA 4321 — ESSENTIALS OF STATISTICS (3)
Basic statistical methods. Estimation,
hypothesis testing, regression, ANOVA, and nonparametric theory and methods.
Prerequisite(s): STA 4442.
STA 4442 — INTRODUCTION TO PROBABILITY (3)
Introduction to probability theory using
calculus. Basic ideas of probability and random variables, discrete probability functions,
continuous probability densities, joint distributions, transformations of random
variables, moments and generating functions of random variables, and limit theorems.
Prerequisite(s): MAC 2313 or MAC 2283, and MGF 3301.
STA 4502 — NONPARAMETRIC STATISTICAL METHODS (3)
Introduction to nonparametric statistics,
including one- and two-sample testing and estimation methods, one- and two-way layout
models and correlation and regression models.
Prerequisite(s): STA 3024.
Note: This course is only offered during the fall semester of even years.
STA 4504 — CATEGORICAL DATA ANALYSIS (3)
Description and inference using proportions
and odds ratios, multi-way contingency tables, logistic regression and other generalized
linear models, loglinear models applications.
Prerequisite(s): STA 3024.
Note: This course is only offered during the fall semester of odd years.
STA 4702 — MULTIVARIATE STATISTICAL METHODS (3)
Review of matrix theory, univariate normal,
t, chi-squared and F distributions and multivariate normal
distribution. Inference about multivariate means including Hotelling's T2, multivariate
analysis of variance, multivariate regression and multivariate repeated measures.
Inference about covariance structure including principal components, factor analysis and
cannonical correlation. Multivariate classification techniques including discriminant
and cluster analyses. Additional topics at the discretion of the instructor, time
permitting.
Prerequisite(s): STA 3024.
Note: This course is only offered during the spring semester of even years.
STA 4821 — STOCHASTIC PROCESSES (3)
Theoretical development of elementary
stochastic processes, including Poisson processes and their generalizations, Markov
chains, birth and death processes, branching processes, renewal processes, queuing
processes and genetic and ecological processes.
Prerequisite(s): STA 4442.
Note: This course is only offered during the spring semester of even years.
STA 4930 — SELECTED TOPICS IN STATISTICS (1-4)
The course content will depend on the
interest of faculty members and student demand.
Prerequisite(s): CI.