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)

MATH 6330Linear Algebra

3

MATH 6331Algebra I

3

MATH 6352Analysis I

3

Choose one of the following concentrations:

Mathematics Concentration:

Required Courses (6 Credits)
MATH 6332Algebra II

3

MATH 6353Analysis II

3

Designated Electives (15 Credits)
Chosen from the following:
MATH 6323Group Theory

3

MATH 6329Number Theory

3

MATH 6339Complex Analysis

3

MATH 6360Ordinary Differential Equations

3

MATH 6361Partial Differential Equations

3

MATH 6362Fourier Analysis

3

MATH 6363Integrable Systems

3

MATH 6364Statistical Methods

3

MATH 6366Micro-local Analysis

3

MATH 6367Functional Analysis

3

MATH 6368Operator Theory

3

MATH 6370Topology

3

MATH 6371Differential Geometry

3

MATH 6372Analytic Number Theory

3

MATH 6373Algebraic Geometry

3

MATH 6375Numerical Analysis

3

MATH 6376Numerical Methods for Partial Differential Equations

3

MATH 6385Cryptology and Codes

3

MATH 6387Mathematical Modeling

3

MATH 6388Discrete Mathematics

3

MATH 6399Special Topics in Mathematics

3

Choose one of the following capstone options:
Capstone Requirement (6 Credits)
Thesis
MATH 7300Thesis I

3

MATH 7301Thesis II

3

Or
Project
MATH 6391Master's Project

3

Additional 3 hours of electives

3

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:
MATH 6325Contemporary Geometry

3

MATH 6329Number Theory

3

MATH 6365Probability and Statistics

3

Designated Electives (12 Credits)
Chosen from the following:
MATH 6305History of Mathematics

3

MATH 6307Collegiate Mathematics Teaching

3

MATE 6310Mathematics Teaching and Learning Theories

3

MATH 6323Group Theory

3

MATH 6328Special Topics in Mathematics Teaching

3

MATH 6339Complex Analysis

3

Choose one of the following capstone options
Capstone Requirement
Thesis
MATH 7300Thesis I

3

MATH 7301Thesis II

3

Or
Project
MATH 6391Master's Project

3

Additional 3 hours of electives

3

Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Industrial and Applied Mathematics Concentration:

Required courses (9 Credits)
MATH 6360Ordinary Differential Equations

3

MATH 6361Partial Differential Equations

3

MATH 6375Numerical Analysis

3

Designated Electives (12 Credits)
Chosen from the following:
MATH 6332Algebra II

3

MATH 6339Complex Analysis

3

MATH 6353Analysis II

3

MATH 6362Fourier Analysis

3

MATH 6363Integrable Systems

3

MATH 6364Statistical Methods

3

MATH 6365Probability and Statistics

3

MATH 6366Micro-local Analysis

3

MATH 6367Functional Analysis

3

MATH 6368Operator Theory

3

MATH 6369Mathematical Methods

3

MATH 6376Numerical Methods for Partial Differential Equations

3

MATH 6377Mathematical Fluid Mechanics

3

MATH 6378Inverse Problem and Image Reconstruction

3

MATH 6379Stochastic Processes

3

MATH 6385Cryptology and Codes

3

MATH 6387Mathematical Modeling

3

MATH 6388Discrete Mathematics

3

MATH 6399Special Topics in Mathematics

3

Choose one of the following capstone options:
Capstone Requirement
Thesis
MATH 7300Thesis I

3

MATH 7301Thesis II

3

Or
Project
MATH 6391Master's Project

3

Additional 3 hours of electives

3

Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Statistics Concentration:

Required Courses (9 Credits)
MATH 6364Statistical Methods

3

MATH 6365Probability and Statistics

3

MATH 6375Numerical Analysis

3

Designated Electives (12 Credits)
Chosen from the following:
MATH 6336Advanced Sampling

3

MATH 6353Analysis II

3

MATH 6379Stochastic Processes

3

MATH 6380Time Series Analysis

3

MATH 6381Mathematical Statistics

3

MATH 6382Statistical Computing

3

MATH 6383Experimental Design and Categorical Data

3

MATH 6384Biostatistics

3

MATH 6386

3

MATH 6387Mathematical Modeling

3

MATH 6388Discrete Mathematics

3

MATH 6389

3

MATH 6399Special Topics in Mathematics

3

Choose one of the following capstone options:
Capstone Requirement (6 Credits)
Thesis
MATH 7300Thesis I

3

MATH 7301Thesis II

3

Or
Project
MATH 6391Master's Project

3

Additional 3 hours of electives

3

Or
Non-Thesis

Additional 6 hours of electives (6)

Written and/or Oral Comprehensive Exam 

Total Credit Hours: 36