MS in Mathematics
Mathematics - Applied Mathematics Concentration, MS
The degree of Master of Science – Applied Mathematics Concentration: To obtain the degree of Master of Science in the applied mathematics option, the student must complete a minimum of 30 semester hours of graduate credit and meet the following requirements:
| Code | Title | Hours |
|---|---|---|
| MATH 5710 & MATH 5720 | Methods Of Numerical Analysis I and Methods Of Numerical Analysis II | 6 |
| MATH 5820 & MATH 5830 | Introduction To Real Analysis I and Introduction To Real Analysis II | 6 |
| MATH 6500 & MATH 6510 | Ordinary Differential Equations and Partial Differential Equations | 6 |
| MATH 5880 | Complex Variables | 3 |
| Select three of the following: | 9 | |
| Dynamical Systems I | ||
| Dynamical Systems II | ||
MATH 6720 | ||
| Discrete Structures And Analysis Algorithms | ||
| Classical Differential Geometry I | ||
| Classical Differential Geometry II | ||
| Ordinary Differential Equations | ||
| Partial Differential Equations | ||
| Abstract Algebra I | ||
| Abstract Algebra II | ||
| Introduction To Theory Of Probability | ||
| Introduction To Mathematical Statistics | ||
| Calculus Of Variations And Optimal Control Theory I | ||
| The student must pass a two-part comprehensive examination or submit and defend a master’s thesis. For distance learning students, the exams will be administered remotely and will require access to a remote site or the internet and a computer with video and audio capabilities. | ||
| Total Hours | 30 | |
COMBINED BACHELOR'S TO MASTER'S - BS to MS in Mathematics
Undergraduate students accepted to the BS to MS in Mathematics program option will be admitted to the MS in Mathematics with a concentration in Applied Mathematics and allowed to complete up to three graduate level classes (nine credit hours) during their final academic year of undergraduate studies. Students admitted into the pipeline program must apply for admission to the College of Graduate Studies for the semester that they intend to matriculate. They will then continue in to the graduate program upon completion of the undergraduate degree requirements. The graduate coursework (up to nine hours) may be applied to completion of both undergraduate and graduate degree requirements. It will be the joint responsibility of the faculty and administrators in the undergraduate and graduate programs to supervise students admitted to the combined program option, to ensure that the limit of nine hours taken as an undergraduate is strictly enforced, and to request that the College of Graduate Studies change their matriculation from Undergraduate to Graduate when they meet all undergraduate degree requirements.
The following provisions apply for classes taken for graduate credit: 1) graduate classes taken at The University of Toledo only after the student is accepted in the program, 2) MATH 5710 Methods Of Numerical Analysis I, MATH 5720 Methods Of Numerical Analysis II, MATH 5820 Introduction to Real Analysis I, MATH 5830 Introduction to Real Analysis II, MATH 5880 Introduction to Complex Variables, MATH 5800 Ordinary Differential Equations, MATH 5810 Partial Differential Equations, may be included in the approved nine semester hours of graduate credit taken as an undergraduate. Students interested in the combined program must submit a graduate admission application to the College of Graduate Studies.
Mathematics -Pure Mathematics Concentration, MS
To obtain the degree of Master of Sciences - Pure Mathematics Concentration, students must complete a minimum of 30 semester hours of graduate credit and meet the following requirements:
| Code | Title | Hours |
|---|---|---|
| MATH 5330 & MATH 5340 | Abstract Algebra I and Abstract Algebra II | 6 |
| MATH 5820 & MATH 5830 | Introduction To Real Analysis I and Introduction To Real Analysis II | 6 |
| MATH 5450 & MATH 5460 | Introduction To Topology I and Introduction To Topology II | 6 |
| MATH 5880 | Complex Variables | 3 |
| Select one of the following: | 6 | |
| Algebra I and Algebra II | ||
| Topology I and Topology II | ||
| Ordinary Differential Equations and Partial Differential Equations | ||
| Differential Geometry I and Differential Geometry II | ||
| Real Analysis I and Real Analysis II | ||
| Complex Analysis I and Complex Analysis II | ||
| Select one of the following: | 3 | |
| Classical Differential Geometry I | ||
| Ordinary Differential Equations | ||
| Partial Differential Equations | ||
| Calculus Of Variations And Optimal Control Theory I | ||
| Methods Of Numerical Analysis I | ||
Any course at the 6000 level listed above | ||
| The student must pass a three-part comprehensive examination or write a master’s thesis. If a thesis is elected, the student must take an oral examination on the general area of the thesis. For distance learning students, the exams will be administered remotely and require a remote test site or access to the internet and a computer with video and audio capabilities. | ||
| Total Hours | 30 | |
COMBINED BACHELOR'S TO MASTER'S - BS to MS in Mathematics
Undergraduate students accepted to the BS to MS in Mathematics program option will be admitted to the MS in Mathematics and allowed to complete up to three graduate-level classes (nine credit hours) during their final academic year of undergraduate studies. Students admitted into the pipeline program must apply for admission to the College of Graduate Studies for the semester that they intend to matriculate. They will then continue into the graduate program upon completion of the undergraduate degree requirements. The graduate coursework (up to nine hours) may be applied to the completion of both undergraduate and graduate degree requirements. It will be the joint responsibility of the faculty and administrators in the undergraduate and graduate programs to supervise students admitted to the combined program option, to ensure that the limit of nine hours taken as an undergraduate is strictly enforced, and to request that the College of Graduate Studies change their matriculation from Undergraduate to Graduate when they meet all undergraduate degree requirements.
The following provisions apply for classes taken for graduate credit: 1) graduate classes taken at The University of Toledo only after the student is accepted in the program, 2) MATH 5330 Abstract Algebra I, MATH 5340 Abstract Algebra II, MATH 5450 Introduction to Topology I, MATH 5460 Introduction to Topology II, MATH 5820 Introduction to Real Analysis I, MATH 5830 Introduction to Real Analysis II, MATH 5880 Introduction to Complex Variables, may be included in the approved nine semester hours of graduate credit taken as an undergraduate. Students interested in the combined program must submit a graduate admission application to the College of Graduate Studies.
Mathematics - Statistics Concentration, MS
The degree of Master of Science - Statistics Concentration: To obtain the degree of Master of Science in the statistics option, the student must complete a minimum of 33 semester hours of graduate credit and meet the following requirements:
| Code | Title | Hours |
|---|---|---|
| MATH 5680 | Introduction To Theory Of Probability | 3 |
| MATH 5690 | Introduction To Mathematical Statistics | 3 |
| MATH 5600 | Advanced Statistical Methods I | 3 |
| MATH 5610 | Advanced Statistical Methods II | 3 |
| MATH 5620 | Linear Statistical Models | 3 |
| MATH 5630 | Theory And Methods Of Sample Surveys | 3 |
| MATH 5640 | Statistical Computing | 3 |
| MATH 6620 | Categorical Data Analysis | 3 |
| MATH 6630 | Nonparametric Statistics | 3 |
| MATH 6650 | Statistical Inference | 3 |
| MATH 6690 | Multivariate Statistics | 3 |
| Pass a two-part comprehensive examination, one part in probability and statistical theory and one part in applied statistics. For distance learning students, the exams will be administered remotely and will require access to a remote testing site or to the internet and a computer with video and audio capabilities. | ||
| Total Hours | 33 | |
COMBINED BACHELORS'S TO MASTER's - BS to MS in Mathematics
Undergraduate students accepted to the BS to MS in Mathematics program option will be admitted to the MS in Mathematics with a concentration in Statistics and allowed to complete up to three graduate level classes (nine credit hours) during their final academic year of undergraduate studies. Students admitted into the pipeline program must apply for admission to the College of Graduate Studies for the semester that they intend to matriculate. They will then continue in to the graduate program upon completion of the undergraduate degree requirements. The graduate coursework (up to nine hours) may be applied to completion of both undergraduate and graduate degree requirements. It will be the joint responsibility of the faculty and administrators in the undergraduate and graduate programs to supervise students admitted to the combined program option, to ensure that the limit of nine hours taken as an undergraduate is strictly enforced, and to request that the College of Graduate Studies change their matriculation from Undergraduate to Graduate when they meet all undergraduate degree requirements.
The following provisions apply for classes taken for graduate credit: 1) graduate classes taken at The University of Toledo only after the student is accepted in the program, 2)
MATH 5600Advanced Statistics Methods I, MATH 5610 Advanced Statistical Methods II, MATH 5620 Linear Statistics Models, MATH 5640 Statistical Computing, MATH 5680 Introduction to the Theory of Probability, MATH 5690 Introduction to Mathematics Statistics may be included in the approved nine semester hours of graduate credit taken as an undergraduate. Students interested in the combined program must submit a graduate admission application to the College of Graduate Studies.