Mathematics Degrees

Accreditation Information :
Pre Requisite Courses :
Qualifying Exams :

Tution Fees :
Financial Aid / Scholarship Offered :
Courses :

Accreditation Information :
Pre Requisite Courses :
Qualifying Exams :

Tution Fees :
Financial Aid / Scholarship Offered :
Courses :

Relation between point and infinity (MATH 466)
Topology shows how all mathematical aspects of shape, structure, and form can be expressed in terms of set theory. Students study topologies and their properties of separation, connectedness and compactness, topological mappings, and the fundamental group of a topological space. (4 units) Prerequisites: MATH 423 and 431
Theory of Computation
The laws that govern the self-interacting dynamics of numbers and their application (MATH 485)
Students focus on formal abstract models of computation and capabilities of abstract machines in relation to their increasing ability to recognize more general classes of formal languages. Topics include formal grammars, finite-state machines, equivalence of finite-state machines, right-linear and left-linear grammars, pushdown automata, context-free languages, Turing machines, unsolvable problems, and recursive functions. (4 units) Prerequisite: MATH 272
Senior Project
Integration of all knowledge in the self (MATH 490)
Students write a substantial paper unifying the knowledge gained from the courses taken during their major and relating this knowledge to deep principles from Maharishi’s Vedic Science. This paper may take the form of (1) An integrated summary of main ideas from the courses taken during their major, addressing themes and questions to be provided by the Department of Mathematics, or (2) A paper written in accord with the guidelines for submissions for the Raja Raam Award and submitted for that award (3) A report of research conducted by the student on a mathematical topic or problem chosen in conjunction with the Department of Mathematics.

Under the direction of a senior faculty member, students prepare and give lectures, lead tutorial sessions, and write and grade quizzes and exams for a college-level mathematics course. (4 units) Prerequisite: consent of the instructor
Undergraduate Research in Mathematics

(math 402)

this course provides an opportunity for students to do original research under the supervision of a faculty member. (1 unit) Prerequisite: consent of the instructor
Seminar in Applied Mathematics I

Knowledge is for action (MATH 410)
Seminar in Applied Mathematics II

Knowledge is for action (MATH 411)

In these courses, students apply the theoretical knowledge they have gained in previous mathematics courses to an applied problem taken from a real-life situation in business or industry. Problems differ from year to year. (4 units each — may be repeated) Prerequisite: consent of the instructor
Numerical Analysis

Using abstract mathematical principles to design accurate and efficient numerical methods for solving problems (MATH 420)

Scientific and engineering applications of computers require advanced numerical techniques of manipulating and solving complex systems of equations with great efficiency and minimum error. Topics include numerical solutions of systems of linear equations, curve fitting, interpolation, numerical integration, solution of algebraic equations, and error analysis. (4 units) Prerequisite: MATH 282
Real Analysis 1

Locating the finest impulses of dynamism within the continuum of real numbers (MATH 423)
Real Analysis 2

Developing a conceptual foundation for calculus (MATH 424)

Analysis is the mathematically rigorous development of calculus based on the theory of infinite sets. The analysis sequence begins with the application of the infinitary methods of set theory to construct the uncountable continuum of real numbers, and then shows how the basic principles of calculus can be logically unfolded from a set-theoretic understanding of the continuum. (4 units each)

Topics I: infinite sets, completeness, open sets, closed sets, compact sets, connected sets, and continuous functions. Prerequisite: MATH 283

Topics II: properties of continuous functions, differentiation, mean value theorem, Riemann integral, numerical sequences and series. Prerequisite: MATH 423
Algebra 1

Algebraic operations as the self-interacting dynamics of a number system (MATH 431)
Algebra 2

The integration and interaction of two algebraic operations on a number system (MATH 432)

Algebra is the study of sets of elements together with operations or relations as well as the structure-preserving transformations between these sets. (4 units each)

Topics Algebra I: groups and subgroups, quotient groups, group homomorphisms, direct sum, kernel, image, Noether isomorphism theorems, and the structure of finitely generated abelian groups. Prerequisite: MATH 286

Topics Algebra II: rings, integral domains, fields, principal ideal domains, unique factorization domains, modules and submodules, tensor products, and exact sequences. Prerequisite: MATH 431
Set Theory

Mathematics unfolding the path to the unified field — the most fundamental field of natural law (MATH 434)

Set theory provides a unified foundation for the diverse theories of modern mathematics based upon the single concept of a set. Topics include axioms of set theory, ordinals, transfinite induction, the universe of sets, cardinal arithmetic, large cardinals, and independence results. (4 units) Prerequisite: MATH 370
Foundations of Mathematics

The unified field as the basis of all of mathematics and all laws of nature (MATH 436)

This course introduces recent developments in foundational areas that have provided important new insights into the structure of the foundations of mathematics. Topics covered in the course vary from year to year. (4 units) Prerequisite: MATH 370
Topics in Set Theory

(math 460)

topics vary from year to year and may include large cardinals and elementary embeddings; applications of set theory in topology and analysis; applications of set theory in algebra; introduction to the theory of forcing; gödel’s constructible universe; descriptive set theory. (4 units) Prerequisite: consent of instructor

Discrete Mathematics

Unified approaches to managing discrete phenomena in computer science and other disciplines (MATH 272)

Discrete mathematics, the study of finite processes and discrete phenomena, is essential for computer science. Topics include logic and sets, relations and functions, vertex-edge graphs, recursion, and combinatorics. (4 units) Prerequisite: MATH 162
Calculus 1

Derivatives as the mathematics of transcending, used to handle changing quantities (MATH 281)
Calculus 2

Integrals as the mathematics of unification, used to handle wholeness (MATH 282)
Calculus 3

Unified management of change in all possible directions (MATH 283)

Calculus, one of the most useful areas of mathematics, is the study of continuous change. It provides the language and concepts used by modern science to quantify the laws of nature and the numerical techniques through which this knowledge is applied to enrich daily life. Using the mathematics computer laboratory, students gain a clear understanding of the fundamental principles of calculus and how they are applied in real-world situations. (4 units each)

Topics Calculus 1: limits, continuity, derivatives, applications of derivatives, integrals, and the fundamental theorem of calculus. (Prerequisite: MATH 162)

Topics Calculus 2: techniques of integration, further applications of derivatives, and applications of integration. (Prerequisite: MATH 281)

Topics Calculus 3: infinite series, vector-valued functions and their derivatives, the Jacobian matrix, directional derivatives, gradient, and chain rule. (Prerequisite: MATH 286)
Linear Algebra 1

Linearity as the simplest form of a quantitative relationship (MATH 286)

Linear algebra studies linearity, the simplest form of quantitative relationship and provides a basis for the study of many areas of pure and applied mathematics, as well as key applications in the physical, biological, and social sciences. Topics include systems of linear equations, vectors, vector equations, matrices, determinants, vector spaces, bases, and linear transformations. (4 units) Prerequisite: MATH 282
Calculus 4

Locating silence within dynamism (MATH 304)

This course extends the calculus of a function of a single real variable to functions of several real variables. Topics include maxima and minima, curvilinear coordinates, line integrals, multiple integrals, change of variables, gradient fields, surface integrals, and the theorems of Green, Stokes, and Gauss. (4 units) Prerequisite: MATH 283
Linear Algebra 2

Unified approaches to linear transformations (MATH 307)

This course deepens and extends many of the topics covered in Linear Algebra I; additional topics include the Cayley-Hamilton theorem, Jordan canonical form, inner-product spaces, orthogonality, and spectral theory. (4 units) Prerequisite: MATH 286
Ordinary Differential Equations

Describing evolving systems and predicting their future (MATH 308)

The most concise mathematical expression that describes a continuously changing physical system is a differential equation, which uses derivatives to quantify all possible states of an evolving system in one equation. Topics include first-order differential equations, second-order linear differential equations, power-series solutions, Laplace transforms, numerical methods of solution, and systems of differential equations. (4 units) Prerequisite: MATH 283
Mathematical Problem Solving

Systematic techniques for using mathematics to solve problems (MATH 310)

Problem solving is a fundamental — and exciting — part of mathematics. In this course, students develop and practice many methods and techniques of mathematical problem solving. (4 units) Prerequisite: MATH 282
Special Topics in Mathematics

(math 315)

in this course students investigate a specialized area of mathematics in depth. topics will vary. (4 units — may be repeated) Prerequisite: consent of the instructor
Complex Analysis

Transcending the real numbers to a simpler and more unified numbering system (MATH 318)

Complex analysis is one of the great achievements of modern mathematics, providing an extension of the real number line to a two-dimensional plane of numbers with surprising applications throughout most areas of mathematics. Topics include analytic functions, Cauchy-Riemann equations, contour integration, Cauchy’s Theorem and integral formulas, power series, residue theorem, and conformal mappings. (4 units) Prerequisite: MATH 304
Probability

Locating orderly patterns in random events to predict future outcomes (MATH 351)

Probability provides precise descriptions of the laws underlying random events, with applications in quantum physics, statistics, computer science, and control theory. Topics include permutations and combinations, conditional probability, random variables, discrete and continuous distributions, expectation, and the central limit theorem. (4 units) Prerequisite: MATH 282
Probability and Statistics 1

Methods for deriving dependable knowledge from incomplete information (MATH 353)

Probability provides precise mathematical descriptions of the laws underlying random events, and statistics uses this mathematical theory to make inferences from empirical data and assess their reliability. Topics include probability, random variables, probability distributions, mean and standard deviation, central limit theorem, tests of hypotheses, linear regression, and correlation. (4 units) Prerequisite: MATH 161
Probability and Statistics 2

Methods for deriving dependable knowledge from incomplete information (MATH 354)

In this course, the topics of Probability and Statistics are studied more deeply, with emphasis on their mathematical foundations. (4 units) Prerequisites: MATH 353 and MATH 283
Mathematical Logic

Mathematical criteria for establishing accurate forms of knowledge (MATH 370)

Mathematical logic is the mathematical description of the structure and function of the symbolic language of mathematics. This course develops a rigorous symbolic language, suitable for expressing all mathematical concepts, demonstrates the soundness and completeness of the language, and shows the inherent limitations of such formal systems indicated by Gödel’s Incompleteness Theorems. (4 units) Prerequisite: consent of the instructor
Practicum in Teaching College Mathematics

Knowledge is structured in consciousness (MATH 401)

Basic Mathematics

Locating the basis of mathematics in the self-interacting dynamics of consciousness (MATH 151)

Arithmetic is the study of patterns, relations, and operations on numbers. Students study the arithmetic of integers, fractions, decimal fractions, ratios, and percents, with an emphasis on applications. (4 units)
Elementary Algebra

Using variables to manage all possible numbers at the same time and solve practical problems (MATH 152)

The infinitely flexible language of algebra is used to quantify and model mathematical patterns and relationships. Topics include operations on algebraic expressions, linear equations, the coordinate plane, inequalities, factoring, and simple quadratic equations. (4 units)
Intermediate Algebra

Using variables to manage the total possibility of numbers and solve practical problems (MATH 153)

This course extends Elementary Algebra to develop further algebraic models. Students study polynomials, rational expressions, quadratic equations, complex numbers, and graphing in the coordinate plane. (4 units) Prerequisite: MATH 152
Functions and Graphs 1

Name and form — locating the patterns of orderliness that connect a function with its graph and describe numerical relationships (MATH 161)
Functions and Graphs 2

Name and form — learning to relate the shape of a graph to its corresponding function (MATH 162)

A mathematical function quantifies the relationship between two related quantities and can be used to model change. Functions and their graphs are essential to all branches of mathematics and their applications. (4 units each)

Topics I: domain and range, average rate of change, graphs, functions (linear, exponential, logarithmic, and quadratic), and applications. (Prerequisite: MATH 153)

Topics II: trigonometry, algebra of functions, compositions and inverses of functions, functions (trigonometric, power, polynomial, and rational), and applications. (Prerequisite: MATH 161)
Mathematics

From numbers to the numberless infinite (MATH 200)

This course gives students a vision of the unified structure of modern mathematics grounded in the infinite, self-referral field of pure intelligence, the Unified Field of Natural Law. Students explore many different ways in which mathematics expresses, emerges from, and uses infinity and its self-interacting dynamics, and how the mathematical quantification of the infinite dynamism of the unified field leads to the great organizing power of modern mathematics. Topics include the development of set theory as a foundation of mathematics, the deductive structure of mathematics, algebraic symbolism and structure, elementary number theory, geometry, the continuum and its limit process, and applications of mathematics in many areas of our lives.
Maharishi Vedic Mathematics

Mathematical structure and the transcendental source of natural law (MATH 205)

This course studies the mathematics of Veda, as explained by Maharishi. Topics include mathematical models of the self-referral structure of the Veda, mathematics as the intellectual expression of the structure of pure knowledge, mathematics in the Vedic Literature, and examination of the principles of modern mathematics in the light of Maharishi Vedic Science. (2–4 units)
Geometry for the Artist

Applying abstractions of shape and form to create beautiful concrete images (MATH 266)

Geometry, the study of shape and form, is an essential tool for the visual artist. Topics in this course include symmetry, Euclidean and non-Euclidean geometry, perspective and projective geometry, and fractals. Materials fee: $10 (4 units) No prerequisite
Geometry

From point to infinity — using properties of shape and form to handle visual and spatial data (MATH 267)

Geometry gives an understanding of shape, form, and structure that has many applications in mathematics, science, and technology. This course will study Euclidean and non-Euclidean geometries and their applications. (4 units) Prerequisite: Math 162

This minor is for students who wish to have knowledge of mathematics to support their study in computer science or any of the natural or applied sciences

The Major in Mathematics provides a foundation in mathematics, plus electives in mathematics, computer science, biology, and/or physics. The program allows for flexibility in student goals by providing two tracks within the major. The program allows for flexibility in student goals:
Mathematics Track

This track provides a strong foundation in mathematics that includes an introduction to real analysis and abstract algebra, plus a limited number of electives in mathematics, computer science, and/or physics.
Students are prepared for a career in a technical area or in other professional and scientific areas.
By judicious choice of electives and other courses, students may graduate prepared to undertake graduate study in mathematics, in computer science, in business, or in other professional and scientific areas.
By careful selection of additional courses in computer science, students can graduate prepared to complete the Master of Science in Computer Science at Maharishi University of Management in one year.
By also majoring in education, students can graduate prepared to teach mathematics in primary or secondary schools.
Sciences Track
This track allows students to include more science courses than the Mathematics Track. It provides students with basic mathematics and computer science and an opportunity to take further courses in mathematics, computer science, or applied areas of interest to the student.
Students are prepared for a career in a technical area or, with careful attention to electives and other courses, for graduate study in computer science, business, and other professional or scientific areas.
By careful selection of additional courses in both computer science and mathematics, students can graduate prepared to complete the Master of Science in Computer Science at Maharishi University of Management in one year.
By also majoring in education, students can graduate prepared to teach mathematics in primary or secondary schools.
Although it is possible to proceed to graduate study in mathematics through this degree, it is preferable to do so by following the Mathematics Track.

MAT01 - Mathematics (i)
MAT02 - Mathematics (ii)
MAT03 - Mathematics (i)
MAT04 - Mathematics (ii)
MAT05 - Mathematics and Statistics
MAT06 - Mathematics and Statistics
MATH03 - Mathematics - Advanced

Admission to Macon State College requires the Office of Admissions to know as much as possible about the academic ability and conduct of its applicants. Acceptance is based on previous academic performance, test scores, conduct, and, when appropriate, results of personal interviews and other information deemed necessary to determine the applicant’s general fitness for admission to an institution of higher learning. Only after such information is obtained is the College able to make an admissions decision in the best interest of both the applicant and the College. Macon State College reserves the right to refuse admission to an applicant based on the results of such appraisal. The admission procedures outlined below should be followed in order to furnish the Office of Admissions with a complete set of relevant information. Applicants desiring an appeal of an admissions decision must do so in writing. The written request for appeal should be sent to the Director of Admissions.

Prospective students should:
Complete the application and return it along with the non-refundable application fee to the Office of Admissions, Macon State College, 100 College Station Drive, Macon, Georgia 31206-5145. Applications may also be completed on-line by visiting the Macon State College web site at www.maconstate.edu.
Have an official transcript mailed by the high school directly to the Office of Admissions if entering directly from high school.
Have an official transcript of GED test scores mailed by the State Department of Education directly to the Office of Admissions if entering on the basis of a GED “High School Equivalency Diploma.”
Have an official transcript from each college attended mailed by the respective registrar’s offices directly to the Office of Admissions at Macon State College if entering as a transfer student.
Have test scores sent directly to the Office of Admissions if requested by the Admissions Office.
Submit a Certificate of Immunization. A medical examination is not required of applicants for admission to Macon State College. However, all new students must submit a Certificate of Immunization prior to attending classes. The Office of Admissions will provide applicants with the required Immunization form.
Complete Orientation. Orientation is mandatory for all new and transfer students attending Macon State College. Orientation is designed to provide essential information about academic programs and requirements, students organizations and activities, and the wide range of campus resources, both academic and non-academic, available to students. Most of all, orientation is intended to help new students connect with the campus community and to be well prepared for success. Students may elect to attend a traditional face-to-face orientation session or participate in an online orientation. Students may visit www.maconstate.edu/orientation/new_transfer.aspx to learn more about the in-person orientation schedule and sign up online for the session they wish to attend, or they may visit orientation.maconstate.edu/login.aspx to complete the online version of orientation. While students will be able to register and attend classes the first semester of enrollment without participating in orientation, they will not be allowed to register for second semester classes unless they have completed the orientation requirement.