Program of Study - Mathematics (Accelerated BS/MS 5 Year Program)

Overview

The accelerated Bachelor's and Master's (4+ 1) degree program is designed by to provide students with high academic achievements the opportunity to link advanced undergraduate coursework with graduate coursework and degree completion. The program will allow students to get an early start on master's degree while completing the Bachelor's degree

Admission Requirements

Students are eligible to apply for admission to the 5 year program during the semester they complete 60 hours (45 General Education core (including 3 for Calculus)+ 15 math) of undergraduate coursework with at least a 3.2 GPA and minimum 3.5 GPA from at least 15 hours in mathematics courses.

To be considered for admission to the 5 year program, students must submit a 5 year application during the semester they complete 60 hours. Only 5 year program candidates demonstrating superior undergraduate academic performance in mathematics and strong recommendation will be considered for admission. By the end of their third year, students in the program must complete minimum 90 hours; complete courses in Modem Algebra and Real Analysis; and maintain at least a 3.2 GPA and 3.5 GPA in mathematics courses.

Before the start of the second semester of the fourth year, students should submit the General GRE scores with a minimum Quantitative score of 150.

Application for admission must be submitted prior to the published deadline. The application is available at www.utrgv.edu/gradapply.

Program Requirements

Required Courses (9 Credits)

CourseCourse Name
MATH 6330Linear Algebra
MATH 6331Algebra I
MATH 6352Analysis I

Choose one of the following concentrations:

Mathematics Concentration:

Required Courses (6 Credits)
CourseCourse Name
MATH 6332Algebra II
MATH 6353Analysis II
Designated Electives (15 Credits)
Chosen from the following:
CourseCourse Name
MATH 6323Group Theory
MATH 6329Number Theory
MATH 6339Complex Analysis
MATH 6360Ordinary Differential Equations
MATH 6361Partial Differential Equations
MATH 6362Fourier Analysis
MATH 6363Integrable Systems
MATH 6364Statistical Methods
MATH 6366Micro-local Analysis
MATH 6367Functional Analysis
MATH 6368Operator Theory
MATH 6370Topology
MATH 6371Differential Geometry
MATH 6372Analytic Number Theory
MATH 6373Algebraic Geometry
MATH 6375Numerical Analysis
MATH 6376Numerical Methods for Partial Differential Equations
MATH 6385Cryptology and Codes
MATH 6387Mathematical Modeling
MATH 6388Discrete Mathematics
MATH 6399Special Topics in Mathematics
Choose one of the following capstone options:
Capstone Requirement (6 Credits)
Thesis
CourseCourse Name
MATH 7300Thesis I
MATH 7301Thesis II
Or
Project
CourseCourse Name
MATH 6391Master's Project
Additional 3 hours of electives
Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Mathematics Teaching Concentration:

Required Courses (9 Credits)
Chosen from the following:
CourseCourse Name
MATH 6325Contemporary Geometry
MATH 6329Number Theory
MATH 6365Probability and Statistics
Designated Electives (12 Credits)
Chosen from the following:
CourseCourse Name
MATH 6305History of Mathematics
MATH 6307Collegiate Mathematics Teaching
MATE 6310Mathematics Teaching and Learning Theories
MATH 6323Group Theory
MATH 6328Special Topics in Mathematics Teaching
MATH 6339Complex Analysis
Choose one of the following capstone options
Capstone Requirement
Thesis
CourseCourse Name
MATH 7300Thesis I
MATH 7301Thesis II
Or
Project
CourseCourse Name
MATH 6391Master's Project
Additional 3 hours of electives
Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Industrial and Applied Mathematics Concentration:

Required courses (9 Credits)
CourseCourse Name
MATH 6360Ordinary Differential Equations
MATH 6361Partial Differential Equations
MATH 6375Numerical Analysis
Designated Electives (12 Credits)
Chosen from the following:
CourseCourse Name
MATH 6332Algebra II
MATH 6339Complex Analysis
MATH 6353Analysis II
MATH 6362Fourier Analysis
MATH 6363Integrable Systems
MATH 6364Statistical Methods
MATH 6365Probability and Statistics
MATH 6366Micro-local Analysis
MATH 6367Functional Analysis
MATH 6368Operator Theory
MATH 6369Mathematical Methods
MATH 6376Numerical Methods for Partial Differential Equations
MATH 6377Mathematical Fluid Mechanics
MATH 6378Inverse Problem and Image Reconstruction
MATH 6379Stochastic Processes
MATH 6385Cryptology and Codes
MATH 6387Mathematical Modeling
MATH 6388Discrete Mathematics
MATH 6399Special Topics in Mathematics
Choose one of the following capstone options:
Capstone Requirement
Thesis
CourseCourse Name
MATH 7300Thesis I
MATH 7301Thesis II
Or
Project
CourseCourse Name
MATH 6391Master's Project
Additional 3 hours of electives
Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Statistics Concentration:

Required Courses (9 Credits)
CourseCourse Name
MATH 6364Statistical Methods
MATH 6365Probability and Statistics
MATH 6375Numerical Analysis
Designated Electives (12 Credits)
Chosen from the following:
CourseCourse Name
MATH 6336Advanced Sampling
MATH 6353Analysis II
MATH 6379Stochastic Processes
MATH 6380Time Series Analysis
MATH 6381Mathematical Statistics
MATH 6382Statistical Computing
MATH 6383Experimental Design and Categorical Data
MATH 6384Biostatistics
MATH 6386
MATH 6387Mathematical Modeling
MATH 6388Discrete Mathematics
MATH 6389
MATH 6399Special Topics in Mathematics
Choose one of the following capstone options:
Capstone Requirement (6 Credits)
Thesis
CourseCourse Name
MATH 7300Thesis I
MATH 7301Thesis II
Or
Project
CourseCourse Name
MATH 6391Master's Project
Additional 3 hours of electives
Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Total Credit Hours: 36