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Notes:

1. Unless otherwise noted, the courses listed are offered during both fall and spring semesters. Course offerings during the summer vary from year to year.
2. The code CAMA by a course title signifies a course that fulfills part of the FKL Core Curriculum Mathematics Requirement.
3. The code CAQR by a course title signifies a course that fulfills part of the FKL Core Curriculum Quantitative Reasoning Requirement.
4. The code CPST by a course title signifies a course that fulfills part of the Capstone Course Exit Requirement.

1000-Level Math Courses

MAC 1105 — COLLEGE ALGEBRA — CAMA (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)

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.

Note: This course is no longer taught at USF.

MAC 1140 — PRECALCULUS ALGEBRA (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 — CAMA (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 — CAMA (3) [Syllabus]

Concepts and analytical skills in areas of logic, linear equations, linear programming, mathematics of finance, permutations and combinations, probability, and descriptive statistics.

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 — CAMA (3) [Syllabus]

This terminal course is intended to present topics which demonstrate the beauty and utility of mathematics to the general student population. Among the topics which might be included are: Financial Mathematics, Linear and Exponential Growth, Numbers and Number Systems, Elementary Number Theory, Voting Techniques, Graph Theory, and the History of Mathematics.

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.

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.

2000-Level Math Courses

MAC 2233 — BUSINESS CALCULUS — CAMA (3) [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 — CAMA (3) [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 — CAMA (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 — CAMA (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 — CAMA (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 — CAMA (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 — CAMA (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.

MGF 2131 — CHAOS AND FRACTALS (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.

3000-Level Math Courses

MAD 3107 — 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.

Suggested Textbooks:
Discrete Mathematics by Dossey et al, Fifth Edition, Addison Wesley
Essentials of Discrete Mathematics by Hunter, Jones & Bartlett Learning

Note: This course is only taught in the spring semester.

MAS 3105 — LINEAR ALGEBRA (3)

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.

Suggested Textbook: Linear Algebra with Applications by Bretscher, Fourth Edition, Prentice Hall

MGF 3301 — BRIDGE TO ABSTRACT MATHEMATICS (3)

Techniques and logic of the construction of proofs. Topics will be selected from propositional logic, set theory, relations and functions, equivalence relations, Boolean algebra, cardinality, and limits.

Co-prerequisite(s): MAC 2283 or MAC 2313, and MAS 3105.

Suggested Textbook: A Transition to Advanced Mathematics by Smith, Eggen, & St. Andre, Seventh Edition, Cengage Learning

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.

Suggested Textbooks:
Geometry: Theorems and Constructions by Berele & Goldman, Pearson Education
Roads to Geometry by Wallace & West, Third Edition, Pearson Education
Kiselev's Geometry: Book 1 (Planimetry) by Kiselev, Sumizdat

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 I (3)

Sequences, series, metric spaces, continuity, differentiation.

Prerequisite(s): MAC 2313 and MGF 3301 and MAS 3105.

Suggested Textbook: Principles of Mathematical Analysis by Rudin, Third Edition, McGraw-Hill Higher Education

Note: This course is only taught in the fall semester.

MAA 4212 — INTERMEDIATE ANALYSIS II (3)

Riemann-Stieltjes integration, uniform convergence, and related topics. (No credit for students with credit in MAA 5306.)

Prerequisite(s): MAA 4211.

Suggested Textbook: Principles of Mathematical Analysis by Rudin, Third Edition, McGraw-Hill Higher Education

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

Suggested Textbooks:
Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics by Saff & Snider, Third Edition, Prentice Hall
Complex Variables and Applications by Brown & Churchill, Eighth Edition, McGraw-Hill

Note: This course is only taught in the spring semester of even years.

MAD 4401 — NUMERICAL ANALYSIS I (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.

Suggested Textbooks:
Numerical Analysis by Gautschi, Second Edition, Birkhäuser Boston
Numerical Analysis: Mathematics of Scientific Computing by Kincaid & Cheney, Third Edition, Brooks Cole
Numerical Analysis by Burden & Faires, Ninth Edition, Cengage

Note: This course is only taught in the fall semester of odd years.

MAD 4402 — NUMERICAL ANALYSIS II (3)

Note: This course is only taught in the spring semester of even 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.

Suggested Textbook: Introduction to the Theory of Computation by Sipser, Third Edition, Cengage Learning

Note: This course is only taught in the spring semester of even years.

MAP 4202 — OPTIMIZATION (3)

Note: This course is only taught in the fall 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.

Suggested Textbooks:
Fourier Series and Boundary Value Problems by Brown & Churchill, Seventh Edition, McGraw-Hill
Applied Partial Differential Equations with Fourier Series and Boundary Value Problems by Haberman, Fourth Edition, Prentice Hall

Note: This course is only taught in the spring semester of odd years.

MAS 4156 — VECTOR CALCULUS (3)

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.

Suggested Textbooks:
Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by Hubbard & Hubbard, Fourth Edition, Matrix Editions
Vector Calculus by Marsden & Tromba, Sixth Edition, W. H. Freeman
Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds by Shifrin, Wiley

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.

Suggested Textbooks:
Elementary Number Theory by Jones & Jones, Springer Verlag
Elementary Number Theory by Rosen, Sixth Edition, Pearson
Number Theory: A Lively Introduction with Proofs, Applications, and Stories by Pommersheim, Marks, & Flapan, Wiley

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.

Suggested Textbook: Modern Algebra: An Introduction by Durbin, Fifth Edition, Wiley

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 4938 — RESEARCH EXPERIENCE IN MATHEMATICS — CPST (3)

This course will cover topics from algebra, arithmetic, geometry and topology. The course will combine lectures with student presentations on a weekly basis. The objective of this course is to give students a first glimpse into research by focusing their attention on the specific subject of their term paper and at the same time offering a broader perspective on their overall undergraduate mathematical experience. With the completion of their term paper and through oral presentations, students will demonstrate their ability to communicate mathematics in a coherent and professional way.

Prerequisites: Senior standing and at least 9 credit hours in mathematics courses at the 4000 level or higher, or consent of instructor.

Suggested Textbook: Mathematical Omnibus: Thirty Lectures on Classic Mathematics, Fuchs and Tabachnikov, American Mathematical Society

Note: This course 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 (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.

Suggested Textbook: A History of Mathematics: An Introduction by Katz, Third Edition, Addison Wesley

Note: This course is not offered during the spring semester of odd years.

MHF 4406 — HISTORY OF MODERN MATHEMATICS (3)

Traces the development of mathematical ideas in Western culture. (No credit for students with credit in MHF 5405.)

Prerequisite(s): MAC 2313 and upper-level standing.

Suggested Textbook: The History of Mathematics: An Introduction by Burton, Seventh Edition, McGraw-Hill

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.

Suggested Textbooks:
Geometry by Brannan, Esplen, & Gray, Cambridge
Modern Geometries: Non-Euclidean, Projective, and Discrete by Henle, Second Edition, Prentice Hall

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.

Suggested Textbooks:
Introduction to General Topology by Cain, Addison Wesley
Topological Spaces: From Distance to Neighborhood by Buskes & van Rooij, Springer Verlag
Introduction to Topology: Pure and Applied by Adams & Franzosa, Prentice Hall

Note: This course is only offered during the spring semester of odd years.

STA 1022 — BASIC STATISTICS (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.

Note: This course is no longer taught at USF.

STA 2023 — INTRODUCTORY STATISTICS I — CAQR (3)

Descriptive and Inferential Statistics; Principles of Probability Theory, Discrete and Continuous Probability Distributions: Binomial Probability Distribution, Poisson Probability Distribution, Uniform Probability Distribution, Normal Dist and more. (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.

Suggested Textbooks:
The Joy of Statistics: Learning with Real World Data by Tsokos & Wooten, Kendall Hunt
Understandable Statistics by Brase & Brase, Eighth Edition, Houghton Mifflin

STA 3024 — INTRODUCTORY STATISTICS II (3)

Factorials, ANCOVA; multiple curvilinear regression; response surfaces; Latin squares, Split Plots, incomplete designs; distribution free methods.

Prerequisite(s): STA 2023.

Suggested Textbook: Introduction to the Practice of Statistics by Moore & McCabe, Fifth Edition, W H Freeman

STA 4102 — COMPUTATIONAL METHODS FOR APPLIED STATISTICS (3)

This course introduces fundamentals of the R and SAS statistical software packages. Topics include data manipulation, graphs, regression, ANOVA, hypothesis testing, and non-parametric tests.

Prerequisite(s): STA 3024.

Note: This course is only offered in the fall semester.

STA 4222 — SAMPLE SURVEY DESIGN (3)

The course covers common statistical survey design methods, including random sampling, stratified sampling, systematic sampling, and cluster sampling. Other topics include bias and non-sampling errors.

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): MAC 2313 or MAC 2283.

Suggested Textbook: Mathematical Statistics with Applications by Ramachandran & Tsokos, Academic Press

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.

Suggested Textbooks:
A First Course in Probability by Ross, Eighth Edition, Prentice Hall
Probability for Engineering, Mathematics, and Sciences by Tsokos, Duxbury

STA 4502 — NONPARAMETRIC STATISTICAL METHODS (3)

This course covers the fundamental concepts, and provides examples, of nonparametric statistical methods. Topics to be covered include sample testing, estimation methods, layout models, correlation and regression models, and goodness-of-fit tests.

Prerequisite(s): STA 3024.

Note: This course is only offered in the spring semester.

STA 4504 — CATEGORICAL DATA ANALYSIS (3)

Fundamental concepts and examples of categorical data analysis. Topics include description and interference using proportions and odd ratios, multi-way contingency tables, logistic regression and other generalized linear models, and log linear models.

Prerequisite(s): STA 3024.

Note: This course is only offered in the spring semester of odd years.

STA 4702 — MULTIVARIATE STATISTICAL METHODS (3)

This course covers the fundamental concepts of multivariate analysis. Topics to be covered include Matrix theory and distributions (normal, $$t$$, chi-squared, $$F$$), inference about multivariate means and inference about covariance structure.
Prerequisite(s): STA 3024.

Suggested Textbook: Applied Multivariate Statistical Analysis by Johnson & Wichern, Sixth Edition, Prentice Hall

Note: This course is only offered in the fall semester.

STA 4852 — APPLIED TIME SERIES (3)

This course covers the fundamental concepts, estimations, and hypothesis testing of discrete time series models. The models will be developed using the autoregressive and moving average processes. Numerous examples will be provided.
Prerequisite(s): STA 3024.

Suggested Textbook: Introduction to Time Series Analysis and Forecasting by Montgomery, Jennings, & Kulahci, Wiley

Note: This course is only offered in the fall semester.

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.