Faulkner University

Courses in Mathematics (MH)

0305 Fundamentals of Algebra

A course including a review of arithmetic operations followed by fundamental algebraic operations: real numbers, integers, rational numbers, exponents, operations with polynomials, linear inequalities, solving and graphing linear equations. Prerequisite: Score of 17 or below on the math component of the ACT . This course will be used as institutional credit only. Fundamentals of Algebra is taught every semester.

1300 College Mathematics

A course designed for the executive and professional student to develop problem solving skills and present an overview of many of the concepts of mathematics. Topics include set theory, logic, probability, statistics, sets of real numbers, and consumer math. This course is not designed to prepare students for any other mathematics course. This course will not satisfy the Math requirement in any traditional program.

1335 Intermediate Algebra

This course is designed to provide the development of basic algebra skills necessary for success in Pre-calculus algebra or Finite Math. Topics include factoring, rational expressions, roots and radicals, absolute value equations and inequalities, quadratic equations. Prerequisite: Minimal score of 18 on math component of ACT, or minimal grade of "C" in MH 0305. This course will not satisfy core curriculum degree requirements. Intermediate Algebra is taught every semester.

1338 Finite Mathematics

This course is designed primarily for students not intending to pursue further study in any mathematics or science related field. Topics include sets and counting, permutations, combinations, probability, statistics, matrices and their application to Markov chains. Additional topics may include linear programming and finance. Prerequisite: Minimal score of 20 on math component of ACT or minimal grade of "C" in MH 1335. Finite Mathematics is taught every fall and spring semester.

1340 Pre-Calculus Algebra

This course emphasizes the algebra of functions, including polynomial, rational, exponential and logarithmic functions; systems of equations and inequalities; the binomial theorem; and quadratic inequalities. Additional topics may include matrices, Cramer's Rule, and mathematical induction. Prerequisite: Minimal score of 20 on math component of ACT or minimal grade of "C" in MH 1335. Pre-calculus Algebra is taught every fall and spring semester, and summer semester as needed.

1341 Business Calculus

A course designed specifically for the business major including basic techniques of differential and integral calculus with business applications. Prerequisite: Minimal score of 24 on math component of ACT OR a minimum grade of "C" in MH 1340. MH 1341 is offered spring semester of every year. Business majors may substitute MH 1451 for MH 1341.

1342 Pre-Calculus Trigonometry

A course designed to provide adequate trigonometric background for the calculus sequence. Topics include analytic and geometric properties of trigonometric and inverse trigonometric functions; graphs; identities; equations; sum and difference formulas; laws of sines and cosines; polar coordinates; vectors and other topics as time permits. Prerequisite: MH 1340 or equivalent. MH 1342 is offered on demand.

1451 Calculus I

A course covering limits, continuity, the derivative, computation and applications of the derivative, and the definite and indefinite integral. Prerequisite: Minimal score of 24 on math component of ACT or minimal grade of "C" in MH 1340. MH 1451 is offered every fall semester and spring semester. (MH 1341 will not substitute for MH 1451.)

2305 Elementary Math I

A course designed specifically and exclusively for Elementary Education majors. Topics include problem solving, set theory, logic, number systems and sets of real numbers. Neither MH 1301 (Survey of Math) nor MH 1338(Finite Math) will substitute for Elementary Math I. Prerequisite: MH 1340 or higher AND sophomore standing.

2306 Elementary Math II

A continuation of Elementary Math I (MH 2305) designed specifically and exclusively for Elementary Education majors. Topics include geometry, U.S. measurement, metric measurement, probability, statistics, and history of relevant math ideas. Prerequisite: MH 2305. This course will be offered every spring semester and must be taken directly following MH 2305.

2340 Statistics

A course providing a statistical background including probability, frequency distributions, sampling, hypotheses testing, correlation, and regression. Prerequisite: MH 1340 or higher. MH 2340 is offered fall semester of even years.

2452 Calculus II

This course is a continuation of Calculus I. Topics covered include applications of integrals, techniques of integration, infinite sequences and series. Prerequisite: MH 1451 or departmental approval. MH 2452 is offered spring semester of every year.

2453 Calculus III

This course is a continuation of Calculus II. Topics include Taylor's formula and numerical applications, polar coordinates, vector calculus, partial derivatives, multiple integrals, surface integrals and line integrals. Prerequisite: MH 2452 or departmental approval. MH 2453 is offered fall semester of every year.

2190 Transition to Advanced Mathematics

An introduction to mathematics proof is covered in this course including direct proof, proof by construction, induction, contradiction, and proof using the contrapositive method. Other topics may be included as time permits. Prerequisite: MH 2453. This course is offered every spring semester.

3310 Linear Algebra

This course includes the study of vector spaces, linear transformations, matrices, and systems of equations. Prerequisite: MH 1340 or higher. MH 3310 is usually offered fall semester of odd years.

3320 Discrete Mathematics

Topics in set theory, logic, relations, graph theory, counting principles, permutations, combinations and modeling. Prerequisite: Junior standing or departmental approval. MH 3320 is offered fall semester of odd years.

3340 Number Theory

This course includes the mathematics of integers, divisibility, primes, unique factorization, congruences, Diophantine problems, and number theoretic functions. Prerequisite: Junior or Senior standing. MH 3340 is offered on demand.

3370 Ordinary Differential Equations

Topics for this course include solution techniques for first-order differential equations, higher-order linear differential equations, Laplace transforms, series solutions, systems of linear differential equations, and applications. Prerequisite: MH 2453. MH 3370 is offered spring semester of every year.

4129 Materials and Methods in Mathematics

This course focuses on the materials and methods of teaching as related to the field of mathematics, the purposes of education and characteristics of adolescents. Prerequisite: Admission into teacher education program and concurrent enrollment in ED 4229. This course is only for those planning to enter the field of secondary education. MH 4129 is offered every spring semester.

4300 Numerical Analysis and Scientific Computing

This course deals with mathematical techniques for solving difficult mathematical problems and the implementation of these techniques on a modern computing system. At times, solutions are approximated using scientific computing methods. Applications are found in physics, engineering, orbital mechanics economics and other disciplines. Prerequisite: completion of calculus sequence as well as completion of CS 2305 - Intro to Computer Science and Programming (CS 2320 - Data Structures - also recommended but not required). MH 4300 is offered spring of every year.

4310 Mathematical Statistics

This course covers topics such as estimation of parameters, maximum likelihood estimation, sufficient statistics, confidence intervals, testing of hypothesis, distributions such as gamma, beta, chi-squared, Student's t and F distributions and fitting straight lines. Students are expected to be able to reproduce and apply theoretical results and to carry out some standard statistical procedures. Prerequisite: MH 2340 and Junior Standing or departmental approval. MH 4310 is offered spring Semester of odd years.

4330 History of Mathematics

A course designed to provide students with a study of many famous mathematicians along with the historical development of key mathematical concepts. Each student taking this course for honors credit will be expected to contribute a superior effort in the traditional course format as well as perform in a timely and exemplary manner, the extra work required for honors qualification. Prerequisite: Junior standing or departmental approval. MH 4350 is offered fall semester of even years.

4340 Abstract Algebra I

Topics for this course include sets, functions, the integers, groups, homomorphisms, rings, and ideals. Prerequisite: Junior standing or departmental approval. MH 4340 is offered fall semester of even years.

4345 Abstract Algebra II

A continuation of Abstract Algebra I (MH 4340). Additional topics include the Sylow theorems, simple groups, integral domain arithmetic, field extensions, Galois theory and geometric constructions. Prerequisite: MH 4340. This course is offered spring of even years.

4350 Foundations of Plane Geometry

A course designed to provide students with an axiomatic development of plane geometry. Prerequisite: Junior standing or departmental approval. MH 4350 is offered spring semester of even years.

4360 Real Analysis I

A course designed to develop an understanding of the basic theory of real analysis. Topics will include the theoretical viewpoint of the real number system, sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, and sequences and series of functions. Prerequisite: junior or senior standing or departmental approval. MH 4360 is offered fall of odd years.

4370 Complex Variables

This course includes properties of complex numbers, complex functions, analytic and harmonic functions, complex integration, series, residues and conformal mapping. Prerequisite: Junior standing or departmental approval. MH 4370 is offered spring semester of even years.

4390 Internship

Supervised work experience in the field of mathematics at an appropriate local facility.


Special Courses

2099/3099 Individual Study

The course may involve a systematic reading program, library research, laboratory project, studio work, field study or creative expression. Conferences or tutoring as required, but no formal lectures or recitations. Quizzes, tests, and examinations as appropriate. MH 2099 is open only to sophomores; MH 3099 is open to juniors and seniors. May be repeated for credit. Number of credit hours awarded (1-3) will be set by department head and approved by the dean.


GRADUATE OFFERINGS:

6310 Mathematical Statistics

Topics in this course include estimation of parameters, maximum likelihood estimation, sufficient statistics, confidence intervals, testing of hypothesis, distributions such as gamma, beta, chi-squared, Student's t and F distributions and fitting straight lines. Students are expected to reproduce and apply theoretical results and carry out standard statistical procedures. A research project will be required. Prerequisite: MH 2340 and graduate standing. MH 6310 is offered spring of odd years.

6330 History of Mathematics

A course designed to provide students with a study of many famous mathematicians along with the historical development of many key mathematical concepts. A research component will be required. Prerequisite: graduate standing. MH 6330 is offered fall of even years.

6340 Abstract Algebra I

Topics for this course include sets, functions, the integers, groups, homomorphisms, rings, and ideals. Additional selected algebraic topics will be included in this course as the graduate component. Prerequisite: graduate standing. MH 6340 is offered fall of even years.

6345 Abstract Algebra II

A continuation of Abstract Algebra I (MH 4340/6340). Topics include the Sylow theorems, simple groups, integral domain arithmetic, field extensions, Galois theory and geometric constructions. Additional selected algebraic topics will be included in this course as the graduate component. Prerequisite: MH 4340/6340 and graduate standing. MH 6345 is offered spring of odd years.

6350 Foundations of Plane Geometry

A course designed to provide students with an axiomatic development of plane geometry. Includes both Euclidean and non-Euclidean Geometry. A research project will be required. Prerequisite: graduate standing. MH 6350 is offered spring of even years.

6360 Real Analysis I

A course designed to develop an understanding of the basic theory of real analysis. Topic include the theoretical viewpoint of the real number system, sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, and sequences and series of functions. Additional selected topics will be included as the graduate component. Prerequisite: graduate standing. MH 6360 is offered fall of odd years.

6370 Complex Variables

This course includes properties of complex numbers, complex functions, analytic and harmonic functions, complex integration, series, residues and conformal mapping. A research project will be required. Prerequisite: graduate standing. MH 6370 is offered spring of even years.

6190 Directed Study

This course is designed for students to engage in a systematic examination.

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