Bachelor of Science with a Major in Mathematics, Pure and Applied
The mathematics track offers students a background in pure and applied mathematics, with emphasis on analytical skills and problem-solving. It will prepare students for further study in mathematics or mathematics education or for a career in industry or government.
A program map, which provides a guide for students to plan their course of study, is available for download in the Courses tab below.
The Bachelor of Science in Mathematics program is designed to provide students with a strong foundation in mathematical theory, problem-solving skills, and mathematical applications. This undergraduate degree program offers a comprehensive curriculum that covers a wide range of mathematical topics, equipping students with the knowledge and skills necessary for careers in many government and private-sector fields, including statistics, data analysis, actuarial science, data science, and risk analysis. It also prepares students for graduate studies in mathematics and math education.
The mathematics track offers students a background in pure and applied mathematics, with emphasis on analytical skills and problem-solving. It will prepare students for further study in mathematics or mathematics education or for a career in industry or government.
Career Opportunities
Link to Additional Career Information:
https://www.buzzfile.com/Major/Mathematics
External Resource
Program Location
Carrollton Campus
Method of Delivery
Traditional classes.
Accreditation
The University of West Georgia is accredited by The Southern Association of Colleges and Schools Commission on Colleges (SACSCOC).
Credit and transfer
Total semester hours required: 120
This program may be earned entirely face-to-face. However, depending on the courses chosen, a student may choose to take some partially or fully online courses.
Save money
UWG is often ranked as one of the most affordable accredited universities of its kind, regardless of the method of delivery chosen.
Details
- Total tuition costs and fees may vary, depending on the instructional method of the courses in which the student chooses to enroll.
- The more courses a student takes in a single term, the more they will typically save in fees and total cost.
- Face-to-face or partially online courses are charged at the general tuition rate and all mandatory campus fees, based on the student's residency (non-residents are charged at a higher rate).
- Fully or entirely online course tuition rates and fees my vary depending on the program. Students enrolled in exclusively online courses do not pay non-Resident rates.
- Together this means that GA residents pay about the same if they take all face-to-face or partially online courses as they do if they take only fully online courses exclusively; while non-residents save money by taking fully online courses.
- One word of caution: If a student takes a combination of face-to-face and online courses in a single term, he/she will pay both all mandatory campus fees and the higher eTuition rate.
- For cost information, as well as payment deadlines, see the Student Accounts and Billing Services website
There are a variety of financial assistance options for students, including scholarships and work study programs. Visit the Office of Financial Aid's website for more information.
Coursework
Track Requirements: 36 Hours
MATH-3003, MATH-3203, MATH-3243, MATH-3303, MATH-4043, MATH-4233
Numerical Analysis or Real Analysis
Choose one of MATH 4013 or MATH 4253
Abstract Algebra or Linear Algebra
Choose one of MATH 4413 or MATH 4513
Combinatorics or Graph Theory
Choose one of MATH 4473 or MATH 4483
Additional Math or Directed Electives: 9 hours
Choose to take either 9 additional hours of mathematics or 9 hours of courses in a related area.
Additional Math Courses: 9 hours
9 hours of 3XXX or 4XXX MATH, excluding MATH 3703, 3803, 4713, 4753, 4773, 4863
Directed Electives: 9 hours
9 hours of 2XXX or higher courses selected from one of the lists below.
Note: For students taking directed electives, at least 9 credit hours from the combined general electives and directed electives must be at the 3000 level or above.
- ACCT, ECON, FINC, MGMT, MKTG
- SPMG
- BIOL, CHEM, PHYS, GEOL
- CS, COMP
- PHIL, PSYC, SOCI
General Electives: 21 Hours
Note: For students taking directed electives, at least 9 credit hours from the combined general electives and directed electives must be at the 3000 level or above.
Downloads
General
This course introduces two fundamental aspects of computer science--abstraction and design--as students learn to develop programs in a high-level programming language. Students will study and implement a variety of applications, including graphics and scientific simulations. The course assumes no prior background in programming or computer science.
This course is designed to prepare students for calculus, physics, and related technical subjects. Topics include an intensive study of algebraic and transcendental functions accompanied by analytic geometry and trigonometry.Students cannot receive credit for MATH 1112 and MATH 1113.
The first of a three-course sequence in calculus. Limits, applications of derivatives to problems in geometry and the sciences (physical and behavioral). Problems which lead to anti-derivatives.
The impact of mathematics in the real world will be presented in the form of lectures, computer labs, and seminars offered by the department of mathematics faculty. The course includes problem solving sessions involving competition problems (e.g. Putnam, MCM, IMO,...) and the use of the technology and computer Algebra systems, such as Maple and Matlab. The course also explores applications of mathematics to the real world, its history and connection to other sciences through projects and reports. A final exam will assess their understanding of the subject matter discussed throughout the course.
A continuation of MATH 1634. The definite integral and applications, calculus of transcendental functions, standard techniques of integration, sequences and series.
A continuation of MATH 2644. Topics include functions of two, three, and more variables, multiple integrals, and topics in vector calculus.
A concrete, applied approach to matrix theory and linear algebra. Topics include matrices and their connection to systems of linear equations, Gauss-Jordan elimination, linear transformations, eigenvalues, and diagonalization. The use of mathematical software is a component of the course.
Major Required
This course explores the three fundamental aspects of computer science--theory, abstraction, and design--as the students develop moderately complex software in a high-level programming language. It will emphasize problem solving, algorithm development, and object-oriented design and programming. This course may not be attempted more than three times without department approval.
A transition course to advanced mathematics. Topics include logic, set theory, properties of integers and mathematical induction, relations, and functions.
A rigorous introduction to the fundamental concepts of single-variable calculus. Topics included the real numbers, limits, continuity, uniform continuity, differentiation, integration, and sequences and series.
Modeling with and solutions of ordinary differential equations, including operators, Laplace transforms, and series; systems of ODE's, and numerical approximations.
The practices and pitfalls of numerical computation. Topics include floating point representations; precision, accuracy, and error; numerical solution techniques for various types of problems; root finding, interpolation, differentiation, integration, systems of linear and ordinary differentiation.
A study of the theory of complex functions and their applications, including analytic and elementary functions; derivatives and integrals; The Cauchy Integral Theorem and contour integration; Laurent series; the theory of residues; conformal mapping; and applications.
Studies of classical boundary-value problems, including the heat equation, wave equation, and potential equation. Solution methods including characteristics, separation of variables, integral transforms, orthogonal functions, Green's functions, Fourier series.
The first of a two-course, in-depth, rigorous study in topics in the theory of groups, rings and fields.
An introduction to combinatorics. Topics include the pigeonhole principle, combinations, permutations, distributions, generating functions, recurrence relations, and inclusion-exclusion.
An introduction to the fundamental concepts of graph theory. Topics include isomorphisms, Euler graphs, Hamiltonian graphs, graph colorings, trees, networks, planarity.
The first course in a comprehensive, theoretically-oriented, two-course sequence in linear algebra. Topics include vector spaces, subspaces, linear transformations, determinants, and elementary canonical forms.
A faculty-directed independent research project culminating in the writing of a paper and an oral presentation of the results of the project. Prerequisite: Senior standing as a mathematics major.
Track Required
Numerical Analysis or Real Analysis: Choose one of MATH 4013 or MATH 4253
Abstract Algebra or Linear Algebra: Choose one of MATH 4413 or MATH 4513
Combinatorics or Graph Theory: Choose one of MATH 4473 or MATH 4483
A transition course to advanced mathematics. Topics include logic, set theory, properties of integers and mathematical induction, relations, and functions.
A calculus based statistics course with a strong emphasis on probability theory. Exercises are both theoretical and applied, including both discrete and continuous probability distributions such as the binomial and normal. The course provides the underlying theory and mathematically derived techniques of statistics. Hypothesis testing for various parameters and regression are also discussed in this course.
A rigorous introduction to the fundamental concepts of single-variable calculus. Topics included the real numbers, limits, continuity, uniform continuity, differentiation, integration, and sequences and series.
Modeling with and solutions of ordinary differential equations, including operators, Laplace transforms, and series; systems of ODE's, and numerical approximations.
The practices and pitfalls of numerical computation. Topics include floating point representations; precision, accuracy, and error; numerical solution techniques for various types of problems; root finding, interpolation, differentiation, integration, systems of linear and ordinary differentiation.
An in-depth study of selected topics in number theory.
An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.
An introduction to measure theory and integration. Topics include metric spaces, measure and integration, elementary functional analysis, and function spaces.
The first of a two-course, in-depth, rigorous study in topics in the theory of groups, rings and fields.
An introduction to combinatorics. Topics include the pigeonhole principle, combinations, permutations, distributions, generating functions, recurrence relations, and inclusion-exclusion.
An introduction to the fundamental concepts of graph theory. Topics include isomorphisms, Euler graphs, Hamiltonian graphs, graph colorings, trees, networks, planarity.
The first course in a comprehensive, theoretically-oriented, two-course sequence in linear algebra. Topics include vector spaces, subspaces, linear transformations, determinants, and elementary canonical forms.
Track Selects
Additional Math Courses: 9 hours of 3XXX or 4XXX MATH, excluding MATH 3703, 3803, 4713, 4753, 4773, 4863
Directed Electives: 9 hours of 2XXX or higher courses selected from one of the lists below.
NOTE: For students taking directed electives, at least 9 credit hours from the combined general electives and directed electives must be at the 3000 level or above.
ACCT, ECON, FINC, MGMT, MKTG, SPMG, BIOL, CHEM, PHYS, GEOL, CS, COMP, PHIL, PSYC, SOCI
This course helps develop programming skills necessary for statistical analysis and data science. Students will learn the basic syntax and functions of the programming language, data organization and visualization, programming, as well as how to use existing packages of the language. Case studies in applied statistics, data science, or machine learning will be discussed.
The practices and pitfalls of numerical computation. Topics include floating point representations; precision, accuracy, and error; numerical solution techniques for various types of problems; root finding, interpolation, differentiation, integration, systems of linear and ordinary differentiation.
An in-depth study of selected topics in number theory.
A continuation of MATH 4203, this course introduces certain discrete and continuous distributions such as the Poisson, Gamma, T and F. The course also provides an introduction to multivariate distributions. Estimation techniques such as the method of moments and maximum likelihood are discussed along with properties such as unbiasedness, efficiency, sufficiency and consistency of estimators.
An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.
An introduction to measure theory and integration. Topics include metric spaces, measure and integration, elementary functional analysis, and function spaces.
A study of the theory of complex functions and their applications, including analytic and elementary functions; derivatives and integrals; The Cauchy Integral Theorem and contour integration; Laurent series; the theory of residues; conformal mapping; and applications.
Studies of classical boundary-value problems, including the heat equation, wave equation, and potential equation. Solution methods including characteristics, separation of variables, integral transforms, orthogonal functions, Green's functions, Fourier series.
The first of a two-course, in-depth, rigorous study in topics in the theory of groups, rings and fields.
A continuation of MATH 4413. Topics include linear groups, group representations, rings, factorization, modules, fields, and Galois Theory.
An introduction to combinatorics. Topics include the pigeonhole principle, combinations, permutations, distributions, generating functions, recurrence relations, and inclusion-exclusion.
An introduction to the fundamental concepts of graph theory. Topics include isomorphisms, Euler graphs, Hamiltonian graphs, graph colorings, trees, networks, planarity.
The first course in a comprehensive, theoretically-oriented, two-course sequence in linear algebra. Topics include vector spaces, subspaces, linear transformations, determinants, and elementary canonical forms.
A continuation of MATH 4513. Topics include rational and Jordan forms, inner product spaces, operators on inner product spaces, and bilinear forms.
An elementary but rigorous study of the topology of the real line and plane and an introduction to general topological spaces and metric spaces. Emphasis placed on the properties of closure, compactness, and connectedness.
This course involves a thorough examination of the analysis of variance statistical method including hypotheses tests, interval estimation, and multiple comparison techniques of both single-factor and two-factor models. Extensive use of a statistical computer package, Minitab, will be a necessary part of the course.
This course involves a thorough examination of both simple linear regression models and multivariate models. The course requires extensive use of statistical software for confidence intervals, statistical tests, statistical plots, and model diagnostics.
This course provides an introduction to design and analysis of planned experiments. Topics will include one and two-way designs; completely randomized designs, randomized block designs, Latin-square and factorial designs. Use of technology will be an integral part of this course.
This course will involve the study of several nonparametric tests including the Runs test, Wilcoxon signed rank and rank sum test, Kruskal, Wallis and Friedman F test. These tests will include applications in the biological sciences, engineering, and business areas. A statistical software package will be used to facilitate these tests.
This course will consider applied principles and approaches for conducting a sample survey, designing a survey, and analyzing a survey.
This course introduces computation-intensive statistical approaches and modern machine learning methods. Topics include:1. R-computing and programming (intermediate to advanced)2. Rmarkdown3. Data scraping and text mining4. Random number simulations5. Bootstrapping6. Optimization7. Regression8. Analysis of Variance9. Classification, Clustering10. Network data analysis
This course will be taught from a variety of statistical topics such as statistical quality control, applied time series, game theory, etc. Prerequisite: Dependent upon course title.
A hands-on supervised field experience in mathematics or statistics. Students will create and present a comprehensive portfolio documenting the field experience. This course may be repeated for a total of 6 hours. Grading is S/U.
William M Faucette, Ph.D.
Associate Professor of Mathematics
Scott Gordon, Ph.D.
Professor of Mathematics
Nguyen Hoang, Ph.D.
Associate Professor of Mathematics
Abdollah Khodkar, Ph.D.
Professor of Mathematics
David Leach, Ph.D.
Professor of Mathematics & Program Coordinator
Kyunghee Moon, Ph.D.
Professor of Mathematics
Veena Paliwal, Ph.D.
Associate Professor of Mathematics
Dave Robinson, Ph.D.
Senior Lecturer in Mathematics
Kwang Shin, Ph.D.
Associate Professor of Mathematics
Scott Sykes, Ph.D.
Professor, First-Year Math Program Coordinator
Fengrong Wei, Ph.D.
Professor of Mathematics
Rui Xu, Ph.D.
Professor of Mathematics
Mohammad Yazdani, Ph.D.
Professor of Mathematics
Guidelines for Admittance
Each UWG online degree program has specific requirements that you must meet in order to enroll.
- Complete online application. A one-time application fee of $40 is required.
- Official transcripts from all schools attended. Official transcripts are sent from a regionally or nationally accredited institution.
- Verify specific requirements associated with specific populations identified here: Freshman Adult Learners Transfer International Home School Joint / Dual Enrollment Transient Auditor Post-Baccalaureate Non-Degree Seeking Readmission
Application Deadlines
Fall Semester - June 1
Spring Semester - November 15
Summer Semester - May 15
Admission Process Checklist
- Review Admission Requirements for the different programs and guides for specific populations (non-traditional, transfer, transient, home school, joint enrollment students, etc).
- Review important deadlines:
- Fall semester: June 1 (undergrads)
- Spring semester: November 15 (undergrads)
- Summer semester: May 15 (undergrads)
See program specific calendars here
- Complete online application
Undergraduate Admissions Guide
Undergraduate Application
Undergraduate International Application - Submit $40 non-refundable application fee
- Submit official documents
Request all official transcripts and test scores be sent directly to UWG from all colleges or universities attended. If a transcript is mailed to you, it cannot be treated as official if it has been opened. Save time by requesting transcripts be sent electronically.
Undergraduate & Graduate Applicants should send all official transcripts to:
Office of Undergraduate Admissions, Murphy Building
University of West Georgia
1601 Maple Street
Carrollton, GA 30118-4160
- Submit a Certificate of Immunization, if required. If you will not ever be traveling to a UWG campus or site, you may apply for an Immunization Exemption. Contact the Immunization Clerk with your request.
- Check the status of your application
Contact
Dr. David Leach, Director of Undergraduate Studies
Phone: 678-839-4127
Email: cleach@westga.edu
Specific dates for Admissions (Undergraduate Only), Financial Aid, Fee Payment, Registration, Start/End of Term Dates, Final Exams, etc. are available in THE SCOOP.
Specific Graduate Admissions Deadlines are available via the Graduate School
L1. A thorough understanding of the calculus, including its computational aspects, applications, and theoretical foundations.
L2. An ability to read, write, and understand mathematical proofs involving foundational aspects of mathematics, such as logic, set theory, basic function theory, and mathematical induction.
L3. A solid foundation in the fundamentals of applied linear algebra, including its computational aspects and applications.
L4. An ability to make written an oral presentations on various mathematical topics and problems.
L8. A solid background in the fundamentals of the applied computational area of mathematics, including numerical analysis, differential equations, and applied linear algebra.
L9. An ability to apply mathematical techniques and models to solve specific problems.
L10. A solid background in the fundamentals of the applied discrete area of mathematics, including graph theory, combinatorics, and number theory.