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Department of Mathematics

Requirements for a Minor in Mathematics
Bachelor of Science Degree in Mathematics Education
Bachelor of Science Degree in Mathematics
Major in Mathematical Sciences
Major in Actuarial Science
Course Descriptions
Graduate Courses


Degree Program – The Department of Mathematics offers a Bachelor of Science degree in Mathematics and a Bachelor of Science degree in Mathematics Education.  Students completing the first program will be prepared for employment in the government sector, private sector, or graduate study in mathematics.  Students interested in employment immediately upon graduation should select the Mathematical Sciences major.  This option gives the student the opportunity to apply various mathematical principles to specific areas such as economics, the sciences, finance, accounting, etc. emphasizing a student’s interest.  The Bachelor of Science in Mathematics gives the students a solid mathematical foundation and prepares them for graduate study in mathematics or applied mathematics.  The Actuarial Science major is specifically for those students interested in  careers as actuaries.  Completion of this option will provide the student with the information needed to pass the first two exams needed for an actuary career.  Finally, the completion of the Bachelor of Science in Mathematics Education will provide the student with teacher certification for secondary schools.  A grade of “C” or better is required in each course in Mathematics taken for credit for a major or a minor in mathematics.

Requirements for a Minor in Mathematics – A minor in mathematics is offered to the student who satisfactorily completes MAP 2302 Differential Equations and (15) fifteen hours in mathematics at the 3000 level or above, including MAS 3105 Linear Algebra and MAA 4211 Advanced Calculus.

Faculty
Professors:  Foster, Charles
Associate Professors: Blayneh, Kbenesh; Guerrieri, Bruno; Issos, James; Jones, Andrew; Stephens, Desmond; Stephens, Sonya; Williams, Henry; Williams, Roselyn
Assistant Professors: Lane, Rebekah; Lauric, Vasile; Thuo, Gikiri
Instructors: Andrews, Richard; McNealy, Roscoe

Bachelor of Science Degree in Mathematics Education
Freshman Year Sem. Hrs.
Fall Semester 
MAC 2311.......................................................................................................................4
ENC 1101 Freshman Communication Skills I.................................................................3
AMH 2091 African-American History  or AMH 2025.......................................................3
MAD 2120 Finite Mathematics.......................................................................................3
BSC 1005/L Biological Sciences w/Lab..........................................................................4
 17

Spring SemesterSem. Hrs.
MAC 2312 Calculus II.....................................................................................................4
ENC 1102 Freshman Communication Skills II................................................................3
MAE 1920 Professional Development I..........................................................................1
AMH 3751 African American History 1865.....................................................................3
PSC 1121/L Physical Science and Lab..........................................................................4
 15

Sophomore yearSem. Hrs.
Fall Semester 
MAC 2313 Calculus III....................................................................................................5
STA 2023 Probability and Statistics I..............................................................................3
EME 2040 Intro to Educational Technology....................................................................3
PHI 201Intro to Philosophy.............................................................................................3
SPC 2600 Public Speaking............................................................................................3
 17

Spring SemsterSem. Hrs.
MHF 4202 Foundations of Mathematics.........................................................................3
EDG 2701 Teaching Diverse Populations......................................................................3
PSY 2012 General Psychology.......................................................................................3
DEP 2004 Human Growth and Development.................................................................3
MAE 2920 Professional Development II.........................................................................1
GLY 2001 Intro to Earth & Space Science......................................................................3
 16

Junior YearSem. Hrs.
Fall Semester 
MAS 3105 Linear Algebra..............................................................................................3
MAP 3302 Differential Equations or MAP 4103 Mathematical Modeling........................3
EDG 3004 Overview & Orient. to Education...................................................................3
EDF 1005 Intro to Education..........................................................................................1
ESE 3341 Theor. & Pract. of Teach. Sec. Sch...............................................................3
EDF 3430 Measure & Eval of Educ. Growth..................................................................3
 16

Spring SemesterSem. Hrs.
MAS 4301 Abstract Algebra I.........................................................................................3
SYG 2000 Sociology.......................................................................................................3
EDG 4708 Multi-Cultural Education................................................................................3
RED 3333 Teach. Read. in Secondary Schools.............................................................3
MAE 3920 Professional Development III........................................................................3
 15

Summer SemesterSem. Hrs.
MAE 4360 Teaching Math in Middle & Secondary Schools............................................3

Senior YearSem. Hrs.
Fall Semester 
MTG 4212 Modern Pure Geometry (Fall only)...............................................................3
MAS 4203 Number Theory.............................................................................................3
TSL 4324 Instruct. Survey for Teach. ESOL...................................................................3
ESE 4930 Seminar in Special Topics.............................................................................3
Fine Arts Elective............................................................................................................3
 15

Spring SemesterSem. Hrs.
ESE 4943 Student Teaching in Secondary Schools.......................................................12

Bachelor of Science Degree in Mathematics
Freshman Year Sem. Hrs.
Fall Semester 
MAC 2311 Calculus I......................................................................................................4
ENC 1101 Freshman Communication Skills I.................................................................3
AMH 2091 African American History..............................................................................3
Humanitives Elective......................................................................................................3
Social Science Elective..................................................................................................3
 16

Spring SemesterSem. Hrs.
MAC 2312 Calculus II.....................................................................................................4
ENC 1102 Freshman Communication Skills II................................................................3
COP 2221C Programming..............................................................................................3
SPC 2600 Public Speaking............................................................................................3
Humanities Elective........................................................................................................3
 16

Sophomore YearSem. Hrs.
Fall Semester 
MAC 2313 Calculus III....................................................................................................5
STA 3034 Mathematical Statistics..................................................................................3
MAS 3105 Linear Algebra..............................................................................................3
Approved Science Sequence*........................................................................................5
 16

Spring SemesterSem. Hrs.
MHF 4202 Foundations of Mathematics.........................................................................3
MAP 2302 Differential Equations....................................................................................3
Electives.........................................................................................................................3
Approved Science Sequence*........................................................................................5
 14

Junior YearSem. Hrs.
Fall Semester 
MAD 3401 Numerical Analysis.......................................................................................3
MTG 4302 Topology.......................................................................................................3
Electives.........................................................................................................................9
 15

Spring SemesterSem. Hrs.
MAA 4301 Abstract Algebra...........................................................................................3
MAA 4402 Complex Variables........................................................................................3
Electives.........................................................................................................................9
 15

Senior YearSem. Hrs.
Fall Semester 
MAA 4211 Advanced Calculus I.....................................................................................3
Traditional Mathematics Elective**.................................................................................3
Electives.........................................................................................................................9
 15

Spring SemesterSem. Hrs.
MAA 4212 Advanced Calculus II....................................................................................3
MAT 4937 Senior Seminar..............................................................................................3
Traditional Mathematics Elective**.................................................................................3
Electives.........................................................................................................................9
 18
*  Students must complete a one-year sequence of General Physics (PHY 2048/L, PHY 2049/L), General Chemistry (CHM 1045/L, CHM 1046/L), or General Biology (BSC 1010/L, BSC 1011/L).
** List of Mathematical Sciences electives:  MAP 4103 Mathematical Modeling, MTG 4212 Modern Pure Geometry, MAS 4203 Number Theory, MAD Combinatorial Analysis.

Bachelor of Science Degree in Mathematics
Major in Mathematical Sciences

Freshman YearSem. Hrs.
Fall Semester 
ENC 1101 Freshman Communication Skills...................................................................3
AMH 2091 African American History..............................................................................3
MAC 2311 Calculus I......................................................................................................4
Humanitives....................................................................................................................3
Social Science Elective..................................................................................................3
 16

Spring SemesterSem. Hrs.
ENC 1102 Freshman Communication Skills...................................................................3
COP 2221 C Programming.............................................................................................3
MAC 2312 Calculus II.....................................................................................................4
SPC 2600 Public Speaking............................................................................................3
Humanities Elective........................................................................................................3
 16

Sophomore YearSem. Hrs.
Fall Semester 
MAC 2313 Calculus III....................................................................................................5
STA 3034 Mathematical Statistics..................................................................................3
MAS 3105 Linear Algebra..............................................................................................3
Approved Science Sequence*........................................................................................4
 15

Spring SemesterSem. Hrs.
MHF 4202 Foundations of Mathematics.........................................................................3
MAP 2302 Differential Equation......................................................................................3
Elective...........................................................................................................................3
Approve Science Sequence*..........................................................................................4
 13

Junior YearSem.Hrs.
Fall Semester 
MAD 3401 Numerical Analysis.........................................................................................3
Elective.............................................................................................................................12
 15

Spring SemesterSem. Hrs.
MAA 4301 Abstract Algebra...........................................................................................3
MAA 4402 Complex Variables........................................................................................3
Electives.........................................................................................................................9
 15

Senior YearSem. Hrs.
Fall Semester 
MAA 4211 Advanced Calculus I.....................................................................................3
Electives.........................................................................................................................12
 15

Spring SemesterSem. Hrs.
MAT 4937 Senior Seminar..............................................................................................3
Mathematical Science Elective**....................................................................................3
Electives.........................................................................................................................9
 15
* Students must complete a one-year sequence of General Physics (PHY 2048/L, PHY 2049/L), General Chemistry (CHM 1045/L, CHM 1046/L), or General Biology (BSC 1010/L, BSC 1011/L).
**List of Mathematical Sciences electives:  MAP 4103 Mathematical Modeling, MAA 4212 Advanced Calculus II

Bachelor of Science Degree in Mathematics
Major in Actuarial Science

Freshman Year Sem. Hrs.
Fall Semester 
MAC 2311 Calculus I......................................................................................................4
ENC 1101 Freshman Communication Skills I.................................................................3
BSC 1005/L General Biology I and Lab..........................................................................4
AMH 2091 African American History..............................................................................3
 14

Spring SemesterSem. Hrs.
MAC 2312 Calculus II.....................................................................................................4
ENC 1102 Freshman Communication Skills II................................................................3
BSC 1010/L  General Biology II and Lab........................................................................4
MAN 2812 Intro to Business Systems............................................................................3
STA 2023 Probability and Statistics................................................................................3
 17

Sophomore YearSem. Hrs.
Fall Semester 
MAC 2313 Calculus III....................................................................................................5
GEB 1931 Professional Development I..........................................................................2
STA 3034 Mathematical Statistics..................................................................................3
MAT 4906 Pro-Seminar..................................................................................................3
Humanities Elective........................................................................................................3
 16

Spring SemesterSem. Hrs.
MAS 3105 Linear Algebra..............................................................................................3
GEB 1932 Professional Development II.........................................................................2
MAT 4906 Pro-Seminar..................................................................................................3
Social Science Elective..................................................................................................3
Humanities Elective........................................................................................................3
 14

Junior YearSem. Hrs.
Fall Semester   
SPC 2600 Public Speaking............................................................................................3
ECO 2013 Principles of Economics I..............................................................................3
ACG 2021 Financial Accounting.....................................................................................3
MAP 2302 Differential Equations....................................................................................3
Approved Actuarial Electives..........................................................................................6
 18

Spring SemesterSem. Hrs.
ECO 2023 Principles of Economics II.............................................................................3
ACG 2301 Managerial Accounting.................................................................................3
FIN 3403 Corporate Finance..........................................................................................3
COP 2221 Programming in C Language........................................................................3
Approved Actuarial Elective............................................................................................3
 15

Senior YearSem. Hrs.
Fall Semester 
MAP 4103 Mathematical Modeling.................................................................................3
MAN 3025 Principles of Management............................................................................3
RMI 3011 Risk Management..........................................................................................3
Approved Actuarial Elective............................................................................................4
 13

Spring SemesterSem. Hrs.
MAR 3023 Principles of Marketing.................................................................................3
MAD 3401 Numerical Analysis.......................................................................................3
Approved Actuarial Electives..........................................................................................7
 13


MAA 4211 Advanced Calculus I (3) Prereq: MAC 2313. Major 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) Prereq: MAA 4211. Major 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) Prereq: MAC 2313. Complex num-bers; functions; continuity; derivatives; elementary functions; line and con-tour integrals; Cauchy formula; representation by power series and classi-fication of singularities.
MAC 1105 College Algebra (3) Major 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 Trigonometric Functions (3) Prereq: MAC 1105. Major 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 (4) Prereq: Trigonometry (high-school) and MAC 1105. Major 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 6.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.
MAC 2233 Business Calculus (3) Prereq: MAC 1105. Major topics: limits, continuity, differential techniques of logarithmic and exponential functions, application of derivatives, curve sketching; integration and appli-cations.
MAC 2311 Calculus with Analytic Geometry I (4) Prereq: MAC 1147 or the combination of MAC 1114 and MAC 1105. Major 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) Prereq: MAC 2311. Major 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) Prereq: MAC 2312. Major 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)  Major 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.
MAD 3401 Numerical Analysis (3) Prereq: MAC 2313. Programming skills required. Major 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.
MAD 4203 Combinatorial Analysis (3) Prereq: MAC 2313. Major 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) Prereq: MAC 2313. Major topics: Curriculum materials and methods used in teaching in middle and secondary schools.
MAP 2302 Differential Equations (3) Prereq: MAC 2313. Major 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.
MAP 3130 Difference Operators (3) Prereq: MAC 1105 and MAD 2120.  Major 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) Prereq: MAC 2313. Major topics: linear algebra, determinants, matrices, eigenvalues, and eigenvectors. Ordinary differential equations, including systems of first-order equations.
MAP 3306 Engineering Mathematics II (3) Prereq: MAP 3305. Major 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)  Prereq: MAC 2313.  Major 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.
MAP 4103 Mathematical Modeling (3) Prereq: MAP 2302.  Major 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 3105 Linear Algebra (3) Prereq: MAC 2312. Major topics: investigation of systems of linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues, inner product spaces.
MAS 4301 Abstract Algebra I (3) Prereq: MAS 3105. Major 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) Prereq: MAC 2313. Major topics: mathematical induction; linear Diophantine equations 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 Individualized Study (1-6) Prereq: Consent of Mathematics Chairperson. Independent study or research under supervision of faculty member in various topics.
MGF 1118 Selected Topics in College Mathematics (1) Major topics: symbolic logic and analysis of valid reasoning; informal geometry, ele-mentary 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 Math I (3) Major topics: systematic counting, probability, statistics, history of mathematics, sets, geometry, logic.
MGF 1107 Liberal Arts Mathematics II (3) Major topics: financial mathematics, linear and exponential growth, numbers and number systems, history of mathematics, elementary number theory, voting techniques, graph theory.
MHF 4202 Foundations of Mathematics (3) Prereq: MAC 2313. Major topics: sets, operations on sets, set algebra, Venn diagrams, truth tables, tautologies, applications to mathematical arguments, general techniques of mathematical induction.
MTG 2206 College Geometry (3)  Prereq: MAC 1105.  Major 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.
MTG 4212 Modern Pure Geometry (3) Prereq: MAC 2313. Major 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) Prereq: MAC 2313. Major topics: topological spaces and properties, compactness, metric spaces and continuous functions; general topological spaces, the topological spaces and topological properties. Hausdorff spaces; connectedness.
STA 2023 Probability and Statistics  (3) Prereq: MAC 1105. Major topics: probability theory; random variables; hypothesis testing; confidence intervals; small sample methods; correlation; simple linear regression, nonparametric statistics.
STA 3034 Mathematical Statistics (3) Prereq: MAC 2311. Major topics: probability, random variables, hypothesis testing, estimation.
STA 4202 Design and Analysis of Experiments I (3) Prereq: STA 2023.  MAS 3105 preferred. Major topics: analysis of variance, blocking, factorial experiment, incomplete blocks, multiple comparisons, confounding, variance components.
STA 4603 Mathematical Techniques of Operations Research (3) Prereq: MAC 2313 or MAS 3105. Major topics: inventory theory, dynamic programming, queuing theory, network analysis, Markov chains, computer simulation.


MAP 5345 Partial Differential Equations (3)   Prereq: MAC 2313.  Major 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) Prereq:  MAS 3105.  Major 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)  Prereq: MAC 2313.  Major topics:  mathematical induction, linear Diophantine equations and congruences, Chinese remainder theorem, Euler-Fermat theorems, quadratic reciprocity law.
MAS 5311 Algebraic Structures (3)  Prereq:  MAS 4301.  Major topics:  groups, direct products, linear algebras, rings, fields extensions of rings and fields, Galois theory.
MAS 5317 Structures of the Real Number System (3)  Prereq: MAC 2313.  Major 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).
MAT 5907 Directed Individual Study (1-6) Prereq: Consent of Mathematics Chairperson. Independent study or research under supervision of faculty member in various topics.
MAT 5932 Topics in Mathematics (3)Course centers around current interest or of special interest to students or instructors.  Topics or focus vary.
MAT 5939 Seminar in Mathematics (3)  Course centers around current interest or of special interest to students or instructors.  Topics or foci vary.
MHF 5206 Structures and Concepts of Arithmetic (3) Prereq: MAC 2313.  Major 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) Prereq: MAC 2313.  Major 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 Statistical Inference (3)  Prereq:  STA 3034.  Major 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.