Mathematics Degree

Program Overview

Mathematics Degree

Overview

The University of North Texas offers a Bachelor of Arts (B.A.) or Bachelor of Science in Mathematics (BSMTH) degree. This program is designed to provide students with a strong foundation in mathematics, enabling them to work on important, challenging real-world problems in business, industry, medicine, government, education, and scientific research.

Program Details

• Program Type: Major
• Format: On Campus
• Estimated Time to Complete: 4 years
• Credit Hours: 120

Why Earn a Mathematics Degree?

The world is becoming increasingly quantitative, and mathematics plays a crucial role in deciding policies that affect our lives. Organizations are depending more and more on quantitative reasoning and complex mathematical models to solve their problems. With an undergraduate mathematics degree, students can develop new models for evaluating stock options and pricing derivatives, create state-of-the-art techniques for predicting atmospheric reactions and transport of chemical pollution, improve algorithms for computer-aided aircraft design, design procedures for DNA and protein sequencing, develop image and voice recognition systems, and help prepare the next generation for the analytically demanding world by teaching mathematics.

Marketable Skills

• Analytical and logical thinking
• Computer proficiency in Matlab, R, or C++
• Application of appropriate statistical methods
• Data collection, analysis, and interpretation
• Oral and written communication

Mathematics Degree Highlights

• The math department funds several scholarships to help students pursue their education.
• Positions are available as tutors and graders.
• The department hosts various conferences, seminars, and colloquiums that provide different viewpoints and discuss research being conducted in math.
• Upper-level math majors frequently work with faculty members on research grants, gaining valuable research experience in preparation for graduate school.
• Students have access to the mathematics library, which contains more than 500 mathematics journal subscriptions, most of which are available electronically.
• The Math Lab offers a quiet space to complete homework or receive assistance with specific problems, staffed by students with strong math backgrounds.
• Many faculty members are internationally recognized experts in their fields and have worked as consultants for private companies and government agencies.

Career Outlook

A Bachelor of Arts or Bachelor of Science degree in Mathematics from the University of North Texas can lead to working on important, challenging, real-world problems in business, industry, medicine, government, education, and scientific research. With a bachelor's degree, students can:

• Create state-of-the-art techniques for predicting atmospheric reactions and transport of chemical pollution
• Design procedures for DNA and protein sequencing
• Develop new models for evaluating stock options and pricing derivatives
• Improve algorithms for computer-aided aircraft design
• Teach math at a private or public school

Mathematics Degree Courses

• Number Theory (3 hrs): Factorizations, congruences, quadratic reciprocity, finite fields, quadratic forms, diophantine equations.
• Vector Calculus (3 hrs): Theory of vector-valued functions on Euclidean space. Derivative as best linear-transformation approximation to a function. Divergence, gradient, curl. Vector fields, path integrals, surface integrals. Constrained extrema and Lagrange multipliers. Implicit function theorem. Jacobian matrices. Green's, Stokes', and Gauss' (divergence) theorems in Euclidean space. Differential forms and an introduction to differential geometry.
• Dynamical Systems (3 hrs): One-dimensional dynamics. Sarkovskii's theory, routes to chaos, symbolic dynamics, higher-dimensional dynamics, attractors, bifurcations, quadratic maps, Julia and Mandelbrot sets.
• Applied Statistics (3 hrs): Descriptive statistics, elements of probability, random variables, confidence intervals, hypothesis testing, regression, contingency tables.
• Introduction to Metamathematics (3 hrs): Introduction of the syntax and semantics of propositional logic and first-order logic. Topics include quantifier elimination, compactness and completeness theorems, Craig's interpolation theorem, elementary submodels, partial recursive functions, Gödel numbering, decidability of theories, Peano arithmetic, Robinson's system and Gödel's incompleteness theorems.
• Real Analysis I (3 hrs): Introduction to mathematical proofs through real analysis. Topics include sets, relations, types of proofs, continuity and topology of the real line.

Program Outline

Degree Overview:

The Bachelor of Arts (B.A.) or Bachelor of Science in Mathematics (BSMTH) program at the University of North Texas (UNT) is a four-year, on-campus program requiring 120 credit hours. It aims to equip students with the skills to work on complex problems in various fields, including business, industry, medicine, government, and scientific research. The program emphasizes quantitative reasoning and complex mathematical models, making it suitable for students who enjoy working with numbers, solving puzzles, and identifying patterns.

Teaching:

• The program is taught by faculty members who conduct research in various areas of pure and applied mathematics, including:
• Computational Biology and Bioinformatics
• Machine Learning
• Numerical Analysis
• Optimization
• Uncertainty Quantification
• Conformal, Holomorphic, and Meromorphic Dynamical systems
• Conformal Iterated Functions Systems
• Ergodic Theory and Topological Dynamics
• Open Dynamical Systems
• Random Dynamical Systems
• Thermodynamic Formalism
• Automorphic Forms
• Classical Modular Forms
• Representation Theoretic Methods
• The Math Lab provides a quiet space for students to complete homework or receive assistance with specific problems.
It is staffed by students with strong math backgrounds.

Careers:

• A Bachelor of Arts or Bachelor of Science degree in Mathematics from UNT can lead to careers in:
• Business
• Industry
• Medicine
• Government
• Education
• Scientific research
• Specific career paths include:
• Creating state-of-the-art techniques for predicting atmospheric reactions and transport of chemical pollution
• Developing new models for evaluating stock options and pricing derivatives
• Improving algorithms for computer-aided aircraft design
• Teaching math at a private or public school
• UNT math alumni work for companies such as:
• Microsoft
• PricewaterhouseCoopers
• School districts across the United States

Other:

• The math department offers several scholarships to help students pursue their education.
• Positions are available as tutors and graders.
• The department hosts various conferences, seminars, and colloquiums that provide different viewpoints and discuss research being conducted in math.
• Upper-level math majors frequently work with faculty members on research grants, gaining valuable research experience in preparation for graduate school.
• Students have access to the mathematics library, which contains more than 500 mathematics journal subscriptions, most of which are available electronically.
• Many faculty members are internationally recognized experts in their fields and have worked as consultants for private companies and government agencies.
• The program emphasizes the development of marketable skills, including:
• Analytical and logical thinking
• Computer proficiency in Matlab, R, or C++
• Application of appropriate statistical methods
• Data collection, analysis, and interpretation
• Oral and written communication