List of undergraduate and graduate level math courses offered at Florida A&M University.

**MAC 1105 College Algebra** (3 hrs)**Topics:** functions and functional notation, domains and ranges of functions, graphs of functions
and relations, operations on functions, inverse functions, linear, quadratic and rational
functions, absolute value and radical functions, algebraic techniques, linear and
quadratic equations, functions, and inequalities, complex numbers, logarithms and
exponential properties, systems of equations and inequalities, combinations and Binomial
Theorem.

**MAC 1114 Algebra and Trigonometry** (3 hrs)**Prereq: **MAC 1105**Topics:** trigonometric functions, properties, graphs, inverse trigonometric functions, properties,
graphs, trigonometric identities, conditional trigonometric equations, solutions to
triangles, vector algebra, parametric equations, polar coordinates.

**MAC 1147 Pre-Calculus Mathematics** (3 hrs)**Prereq: **Trigonometry (high-school) and MAC 1105**Topics: **polynomial, rational, and other algebraic functions, their properties and graphs,
polynomial and; rational inequalities, exponential and morganatic functions , their
properties and graphs, conic sections, Binomial Theorem, trigonometric functions,
their properties and graphs, inverse trigonometric functions, their properties and
graphs, trigonometric identities, conditional trigonometric equations, solutions of
triangles, vector algebra, parametric equations, polar coordinates, applications.

**MAT 1033 Intermediate Algebra** (3 hrs – elective credit)**Topics:** polynomial, rational, and other algebraic functions, their properties and graphs,
polynomial and; rational inequalities, exponential and morganatic functions

**MGF 1118 Selected Topics in College Mathematics **(1 hr – elective credit)**Topics: **symbolic logic and analysis of valid reasoning; informal geometry, elementary probability
and statistics; algebra review (individualized). This course is designed primarily
for CLAST preparation of students who have not taken MGF 1108 or MAD 2120 or MGF 1107.

**MGF 1106 Liberal Arts Mathematics I** (3 hrs)**Topics: **systematic counting, probability, statistics, history of mathematics, sets, geometry,
logic.

**MGF 1107 Liberal Arts Mathematics II** (3 hrs)**Topics: **financial mathematics, linear and exponential growth, numbers and number systems,
history of mathematics, elementary number theory, voting techniques, graph theory.

**MAC 2233 Business Calculus ** (3 hrs)**Prereq: **MAC 1105**Topics:** limits, continuity, differential techniques of logarithmic and exponential functions,
application of derivatives, curve sketching; integration and applications.

**MAC 2311 Calculus with Analytic Geometry I** (4 hrs)**Prereq:** MAC 1147 or the combination of MAC 1114 and MAC 1105.**Topics:** limits; continuity; differentiation techniques; introduction to integration; curve
sketching; areas between curves; theory augmented by applications from a variety of
disciplines.

**MAC 2312 Calculus with Analytic Geometry II **(4 hrs)**Prereq:** MAC 2311**Topics: **techniques of integration, approximate integration and Simpson's Rule, application
of the integral to volumes, moments, centroids, etc., conic sections, parametric equations
and polar coordinates, infinite series.

**MAC 2313 Calculus with Analytic Geometry III** (5 hrs)**Prereq:** MAC 2312**Topics: **solid analytic geometry, vectors in 3-space, partial derivatives and applications,
multiple integrals, line and surface integrals, topics from plane solid analytic geometry,
directional derivatives and curvature, differential calculus of functions of several
variables.

**MAD 2120 Finite Mathematics** (3 hrs)**Topics: **matrix operations; systems of linear equations and inequalities; linear programming
and the simplex method; symbolic logic; probability theory; counting techniques; elementary
graph theory; descriptive statistics.

**MAP 2302 Differential Equations** (3 hrs)**Prereq: **MAC 2313**Topics:** methods of solutions of ordinary differential equations, linear equations and systems
of linear equations, separation of variables, integrating factors, linear differential
equations, undetermined coefficients, variation of parameters, solution by series,
Laplace transform, successive approximation and applications, boundary value problems.

**MTG 2206 College Geometry** (3 hrs)**Prereq: **MAC 1105**Topics:** emphasizes Euclidean geometry and its relationship to logic, trigonometry, and coordinate
geometry, the problems proofs, constructions, and graphs involve line segments, angles,
triangles and polygons, parallel and perpendicular lines, slope of lines, circles,
and similarity, presented in terms of right triangle relationships, logic is the basis
for deductive reasoning in proofs of theorems, lines and other geometric figures are
graphed in the rectangular coordinate system.

**STA 2023 Probability and Statistics** (3 hrs)**Prereq:** MAC 1105**Topics:** probability theory; random variables; hypothesis test ing; confidence intervals;
small sample methods; correlation; simple linear regression, nonparametric statistics.

**MAD 3401 Numerical Analysis** (3 hrs)**Prereq: **MAC 2313**Topics:** solutions to scalar nonlinear and finite difference equations; numerical differentiation
and integration; numerical solution of initial values problems for ordinary differential
equations, error and convergence; general interpolation problems, interpolation and
quadrature, numerical solutions of algebraic and transcendental equations.

**MAP 3130 Difference Operators** (3 hrs)**Prereq: **MAC 1105 and MAD 2120**Topics: **difference operators, introduction to difference equations, linear difference equations
with constant coefficients, examples from social sciences, Z–transforms, Cobweb cycles,
generating functions, matrix methods.

**MAP 3305 Engineering Mathematics I** (3 hrs)**Prereq:** MAC 2313

Topics: linear algebra, determinants, matrices, eigenvalues, and eigenvectors. Ordinary
differential equations, including systems of first-order equations.

**MAP 3306 Engineering Mathematics II** (3 hrs)**Prereq: **MAC 1105**Topics: **vector calculus, solution of partial differential equations by separation of variables,
Sturm-Louisville problems, Fourier series, complex numbers, Cartesian tenors.

**MAP 3341 Partial Differential Equations** (3 hrs)**Prereq: **MAP 2302**Topics: **solution of first-order partial differential equations, classification of linear second-order
partial differential equations, separation of variables, initial value and initial
boundary value problems.

**MAS 3105 Linear Algebra ** (3 hrs)**Prereq:** MAC 2313**Topics:** Major topics: investigation of systems of linear equations, matrices, vector spaces,
linear transformations, determinants, eigenvalues, inner product spaces.

**STA 3034 Mathematical Statistics ** (3 hrs)**Prereq:** MAC 2311**Topics:** probability, random variables, hypothesis testing, estimation.

**MAA 4211 Advanced Calculus I** (3 hrs)**Prereq: **MAC 2313**Topics:** real number system, functions, sequences, limits and continuity, fundamental theorems
and bounded sequences, Cauchy criterion, point sets, open, closed, compact and connected
sets, derivatives, Rolle’s Theorem, law of mean, Hospital’s Rules and intermediate
forms.

**MAA 4212 Advanced Calculus II **(3 hrs)**Prereq:** MAA 4211**Topics:** Riemann integral, fundamental theorem of integral calculus, infinite series, power
series, uniform convergence, functions of several variables, partial differentiation,
multiple integrals, improper integrals, Fourier series and orthogonal functions.

**MAA 4402 Complex Variables **(3 hrs)**Prereq: **MAC 2313**Topics: **Complex num bers; functions; continuity; derivatives; elementary functions; line and
con tour integrals; Cauchy formula; representation by power series and classification
of singularities.

**MAD 4203 Combinatorial Analysis **(3 hrs)**Prereq: **MAC 2313**Topics:** permutations and combinations, binomial coefficients, inclusion-exclusion, linear
recurrence relations, generating functions, block designs, difference sets, existence
and non-existence theorems, systems of distinct representatives, introduction to graphs.

**MAE 4360 Methods of Teaching Middle and Secondary Mathematics** (4 hrs)**Prereq:** MAC 2313**Topics:** Curriculum materials and methods used in teach ing in middle and secondary schools.

**MAP 4103 Mathematical Modeling** (3 hrs)**Prereq: **MAP 2302**Topics: **mathematical models of problems in the social, life, physical, and/or management sciences,
methods of solution including Laplace transforms, Fourier Series, calculus of variations,
and other techniques for solving differential equations.

**MAS 4301 Abstract Algebra I ** (3 hrs)**Prereq: **MAS 3105**Topics: **groups, subgroups, homomorphism theorems, rings, integral domains and quotient fields,
quotient groups, polynomial rings, ideals, quotient rings, subrings, extension fields
and finite fields.

**MAS 4203 Introduction to Number Theory** (3 hrs)**Prereq:** MAC 2312**Topics:** mathematical induction; linear Diophantine equa tions and congruence, Chinese Remainder
theorem, theorems of Euler, Fermat, and Wilson, divisibility and divisibility tests,
greatest common divisor, division and Euclidean algorithms, primes, number-theoretic
functions.

**MAT 4906 Directed Individual Study** (1 – 6 hrs)**Prereq:** Consent of Mathematics Chairperson.**Topics:** Independent study or research under supervision of faculty member in various topics.

**MHF 4202 Foundations of Mathematics** (3 hrs)**Prereq: **MAC 1105**Topics:** sets, operations on sets, set algebra, Venn diagrams, truth tables, tautologies,
applications to mathematical arguments, general techniques of mathematical induction.

**MTG 4212 Modern Pure Geometry** (3 hrs)**Prereq: **MAC 2313**Topics: **fundamental concepts of Euclidean Geometry treated in specialization of projective
geometry. Postulate of projectivity, Quadrangles, Theorems of Desargues, Pappus and
Pascal. Harmonic sets, postulates of separation, matrices, cross ratio, affine and
homothetic transformations, Non-Euclidean geometry (Geometry of Bolyai-Lobachevsky).

**MTG 4302 Elementary Topology** (3 hrs)**Prereq: **MAC 2313**Topics: **topological spaces and properties, compactness, metric spaces and continuous functions;
general topological spaces, the topological spaces and topological properties. Hausdorff
spaces; connectedness.

**STA 4202 Design and Analysis of Experiments I **(3 hrs)**Prereq: **STA 3034, MAS 3105 preferred**Topics: **analysis of variance, blocking, factorial experiment, incomplete blocks, multiple
comparisons, confounding, variance components.

**STA 4603 Mathematical Techniques of Operations Research** (3 hrs)**Prereq: **MAC STA 3034 and MAS 3105**Topics:** inventory theory, dynamic programming, queuing theory, network analysis, Markov chains,
computer simulation.

**MAP 5345 Partial Differential Equations** (3 hrs)**Prereq: **MAC 2313**Topics:** solutions of first-order, quasi-linear partial differential equations, classification
and reduction of normal form of linear second-order equations, separation of variables,
Sturm-Louisville problems, Fourier series, Fourier integral, Fourier transforms, applications
to initial value and initial boundary value problems

**MAS 5145 Linear Algebra** (3 hrs)**Prereq: **MAS 3105**Topics: **review of linear algebra, applications of matrices, practical methods of matrix computation,
computations using Guassian elimination, Fredholm alternative, choice of pivots, modified
systems, unitary transformations and applications, eigenspaces, Schur, QR, and singular
value decomposition, similarity transformations, defective matrices, Jordan form,
iterative solutions, norms of matrices, quadratic forms and variational principles.

**MAS 5204 Number Theory** (3 hrs)**Prereq: **MAC 2313**Topics:** mathematical induction, linear Diophantine equations and congruences, Chinese remainder
theorem, Euler-Fermat theorems, quadratic reciprocity law.

**MAS 5311 Algebraic Structures** (3 hrs)**Prereq: **MAS 4301**Topics:** groups, direct products, linear algebras, rings, fields extensions of rings and fields,
Galois theory

**MAS 5317 Structures of the Real Number System** (3 hrs)**Prereq:** MAC 2313**Topics:** concepts in set theory, relations and their properties, evaluation of numeration
systems, integers, rational and irrational numbers, the field of real numbers, introduction
to the theory of matrices.

**MAS 5328 Group Theory in the Physical Sciences** (3 hrs)

**MAT 5907 Directed Individual Study** (1 – 6 hrs)**Prereq: **Consent of Mathematics Chairperson.**Topics: **Independent study or research under supervision of faculty member in various topics.

**MAT 5932 Topics in Mathematics** (3 hrs)**Topics:** Course centers around current interest or of special interest to students or instructors.
Topics or focus vary.

**MAT 5939 Seminar in Mathematics** (3 hrs)**Topics:** Course centers around current interest or of special interest to students or instructors.
Topics or focus vary.

**MHF 5206 Structures and Concepts of Arithmetic** (3 hrs)**Prereq: **MAC 2313**Topics:** Zermelo-Frankel axioms for set theory, finite and infinite sets, ordinal numbers,
cardinal numbers, the Axiom of Choice and some of its equivalents.

**MTG 5220 Logic and Geometry** (3 hrs)**Prereq: **MAC 2313**Topics:** foundations of mathematical logic and geometry, sentential logic, survey of fundamental
concepts of non-metric geometry, metric geometry in development of geometry as a mathematical
system.

**STA 5155 Liberal Statistical Inference** (3 hrs)**Prereq: **STA 3034**Topics: **nature and importance of statistics, descriptive statistics, probability theory and
sampling distribution, experimental designs and data analysis, introduction to matrix
algebra, regression analysis, introduction to times series analysis.