Departments & Programs
Department of Mathematical Sciences
Degree Requirements
Major Requirements
Pure Mathematics Option
With this option, students will be well prepared for graduate work in pure mathematics. However, students with undergraduate degrees in pure mathematics have also been successful with graduate studies in business administration, computer science, economics, educational research, engineering, law, medicine, operations research, physics, psychology, and statistics. Persons with advanced degrees in pure mathematics find careers primarily in college teaching, but careers in business, industry, or government service are also possible.
Courses taken to satisfy the Area IIIC requirements must include PHYS 15200 (or a more advanced physics course).
The Area IV major requirements are as follows:
- Core curriculum: MATH 16500, MATH 16600, MATH 17100, MATH 26100, MATH 26600, and MATH 35100
- MATH 45300 Beginning Abstract Algebra
- MATH 30000 Logic & Foundations of Algebra
- MATH 32101 Elementary Topology
- MATH 44400 Foundations of Analysis I
- The 45 credit hours required above must include at least 9 credit hours in the required advanced electives listed below plus 1 more 3-credit 300, 400 or 500 level course. *500 level courses require departmental approval
- Minimum of two credit hours of MATH 49200 Capstone Experience
- MATH 46200 Elementary Differential Geometry OR MATH 57100 Elementary Topology
- MATH 42500 Elements of Complex Analysis OR MATH 445 Foundations of Analysis II
- MATH 45400 Galois Theory OR MATH 45600 Theory of Numbers
Pure Mathematics Option Sample Program (120 credits required)
Freshman Year
| First Semester | |
| MATH 16500 Analytic Geometry and Calculus I | 4 |
| MATH 17100 Multidimensional Mathematics | 3 |
| SCI-I120 Windows on Science | 1 |
| ENG-W131 Reading, Writing and Inquiry | 3 |
| World Language | 4 |
| Total | 15 |
| Second Semester | |
| MATH 16600 Analytic Geometry and Calculus II | 4 |
| CSCI 23000 Computing I | 4 |
| COMM-R110 Fundamentals of Speech Communication | 3 |
| Life and Physical Science (approved elective) | 3 |
| World Language | 4 |
| Total | 18 |
Sophomore Year
| Third Semester | |
| MATH 26100 Multivariate Calculus | 4 |
| PHYS 15200 Mechanics | 4 |
| 2nd Written Communication Course | 3 |
| MATH 30000 Logic & Foundations of Algebra | 3 |
| Secondary Area elective | 3 |
| Total | 17 |
| Fourth Semester | |
| MATH 26600 Ordinary Differential Equations | 3 |
| MATH 35100 Elementary Linear Algebra | 3 |
| Life and Physical Science (approved elective) | 3 |
| Social Sciences (choose from list) | 3 |
| Secondary Area elective | 3 |
| Total | 15 |
Junior Year
| Fifth Semester | |
| MATH 44400 Foundations of Analysis I | 3 |
| Advanced Elective | 3 |
| Arts and Humanities/Social Sciences (choose from list) | 3 |
| Secondary Area electives | 6 |
| Total | 15 |
| Sixth Semester | |
| MATH 32101 Elementary Topology | 3 |
| Advanced Elective | 3 |
| Life and Physical Sciences (approved elective) | 3 |
| Secondary Area electives | 6 |
| Total | 15 |
Senior Year
| Seventh Semester | |
| MATH 45300 Beginning Abstract Algebra | 3 |
| Arts & Humanities/Social Science (choose from list) | 3 |
| General electives | 7 |
| Total | 13 |
| Eighth Semester | |
| Advanced Elective | 3 |
| Advanced Elective | 3 |
| General elective | 3 |
| MATH 49200 Capstone Experience | 3 |
| Total | 12 |
Applied Mathematics Option
Graduates with training in applied mathematics are employed in business, industry, and government. They would probably work as part of a team and would often need to communicate mathematical ideas to persons trained in other subjects. In many instances, they would need to formulate problems for solution on a computer and interpret the answers. Thus, besides a fundamental knowledge of mathematics, a knowledge of what computers can do is essential. This option is also good preparation for graduate study in applied mathematics, computer science, statistics, and engineering.
Courses taken to satisfy the Area IIIC requirements must include PHYS 15200 and PHYS 25100 (or more advanced physics courses).
The Area IV major requirements are as follows:
- Core curriculum: MATH 16500, MATH 16600, MATH 17100, MATH 26100, MATH 26600, MATH 30000, and MATH 35100
- MATH 41400 Numerical Methods
- Mathematical modeling: MATH 42600 Introduction to Applied Mathematics and MATH 42100 Linear Programming and Optimization Techniques or MATH 42300 Discrete Modeling
- MATH 44400 Foundations of Analysis I
- Twelve (12) additional credit hours selected from MATH 27600 and mathematics courses at the 300 level or above and statistics courses numbered 35000 or higher. Courses in computer science or courses in other departments of the School of Science that have appropriate mathematical content may be selected with the approval of the advisor. Normally, no more than 6 credit hours outside of mathematics and statistics will be approved.
- The 45 credit hours of courses required above must include at least 6 credit hours in each of two of the course sequences listed below. Students planning on attending graduate school in mathematics, economics, engineering, or physics are advised to take MATH 44400 and 44500. MATH 30000 is a recommended advanced elective to be taken as a prerequisite for MATH 44400.
- Minimum of two credit hours of MATH 49200 Capstone Experience
Course Sequences
Two course sequences (each course 3 credit hours) are required. There must be at least one * sequence. No overlaps are allowed.
- *Differential Equations: MATH 52000 and MATH 52200
- *Biomathematics: Biomathematics course and STAT 35000 or higher
- Foundations of Analysis: MATH 44400 and MATH 44500
- Complex Analysis and Differential Equations: MATH 42500 and MATH 52000
- Abstract Algebra: MATH 45300 and MATH 45400
- Algebra and Number Theory: MATH 45600 and MATH 45300
- Linear Algebra: MATH 35100 and MATH 35300
- Differential Geometry: MATH 46200 and MATH 56200
- *Probability and Statistics: Two statistical-type courses at the STAT 35000 level or higher, with advisor's approval
- *Numerical Analysis: MATH 41400 and CSCI 51500
- *Scientific computing: CSCI 47500 and 476002
- *Theoretical computer science: CSCI 34000 and 484002
2Students are generally allowed to select only one of these two course sequences.
Applied Mathematics Option Sample Program (120 credits required)
Freshman Year
| First Semester | |
| MATH 16500 Analytic Geometry and Calculus I | 4 |
| MATH 17100 Multidimensional Mathematics | 3 |
| SCI-I120 Windows on Science | 1 |
| ENG-W131 Reading, Writing and Inquiry | 3 |
| World Language | 4 |
| Total | 15 |
| Second Semester | |
| MATH 16600 Analytic Geometry and Calculus II | 4 |
| CSCI 23000 Computing I | 4 |
| COMM-R110 Fundamentals of Speech Communication | 3 |
| Life and Physical Science (approved elective) | 3 |
| World Language | 4 |
| Total | 18 |
Sophomore Year
| Third Semester | |
| MATH 26100 Multivariate Calculus | 4 |
| MATH 30000 Logic & Foundations/Algebra | 3 |
| PHYS 15200 Mechanics | 4 |
| 2nd Written Communication Course | 3 |
| Secondary area elective | 3 |
| Total | 17 |
| Fourth Semester | |
| MATH 26600 Ordinary Differential Equations | 3 |
| MATH 35100 Elementary Linear Algebra | 3 |
| PHYS 25100 Heat, Electricity, and Optics | 5 |
| Secondary area elective | 3 |
| Total | 14 |
Junior Year
| Fifth Semester | |
| MATH 44400 Foundations of Analysis I | 3 |
| MATH/STAT sequence or elective | 3 |
| Arts and Humanities (choose from list) | 3 |
| Secondary area electives | 6 |
| Total | 15 |
| Sixth Semester | |
| MATH 42600 Introduction to Applied Mathematics and Modeling | 3 |
| MATH/STAT sequence or elective | 3 |
| Life and Physical Sciences (approved elective) | 3 |
| Secondary area electives | 6 |
|
Total |
15 |
Senior Year
| Seventh Semester | |
| MATH 41400 Numerical Methods | 3 |
| MATH 42100 Linear Programming and Opt. Tech. or MATH 42300 Discreet Modeling | 3 |
| Social Sciences (choose from list) | 3 |
| General Elective | 3 |
| Total | 12 |
| Eighth Semester | |
| MATH 49200 Capstone Experience | 2 |
| MATH/STAT sequence or electives | 6 |
| Arts and Humanities/Social Sciences (choose from list) | 3 |
| General Elective | 3 |
| Total | 14 |
Actuarial Science Option
The Actuarial Science Option for mathematics majors will provide students with the strong background in mathematics, statistics, and economics necessary to analyze financial risks. This concentration aims to prepare students for the first three actuarial examinations administered by the professional actuarial organizations. The secondary area of concentration for students in this option is fulfilled by required courses in business and economics.
Actuarial science deals with the analysis of financial consequences of risk. Actuaries are highly trained professionals, well versed in mathematical, statistical, and economic techniques that enable them to evaluate financial risk of uncertain future events, especially those pertaining to health care, insurance, and pension plans. Actuaries answer risk-related questions by developing, implementing, and interpreting sophisticated mathematical models.
Courses taken to satisfy Area IIIC requirements must include PHYS 15200 (or a more advanced physics course).
The Area IV major requirements are as follows:
- Core Curriculum: MATH 16500, MATH 16600, MATH 17100, MATH 26100, MATH 26600, and MATH 35100
- ECON-S201, ECON-E202 or ECON-S202, ECON-E305, ECON-E321, ECON-E322
- BUS-A200, BUS-F300, BUS-F305
- MATH 37300 Mathematical Finance
- Mathematical Modeling: MATH 42600 Introduction to Applied Mathematics and Modeling or MATH 42100 Linear Programming and Optimization Techniques or MATH 42300 Discrete Modeling
- STAT 41600 Probability and STAT 41700 Statistical Theory
- Actuarial Models: STAT 47200 and STAT 47300
- Two credit hour or three credit hour STAT elective at the 300 level or above (not STAT 30100, 30200, or 31100) Suggested course: STAT 51200 and STAT 37100 (Prep for Actuarial Exam 1)
- Three credit hour MATH or STAT course selected from MATH 27600 and mathematics and statistics courses at the 300 level or above (not STAT 30100, 30200, or 31100). Suggested course: STAT 35000 Introduction to Statistics
- Two or three credit hours of MATH 49200 Capstone Experience
Actuarial Science Option Sample Program (120 credits required)
Freshman Year
| First Semester | |
| MATH 16500 Analytic Geometry and Calculus I | 4 |
| MATH 17100 Multidimensional Mathematics | 3 |
| SCI-I120 Windows on Science | 1 |
| ENG-W131 Reading, Writing and Inquiry | 3 |
| World Language | 4 |
| Total | 15 |
| Second Semester | |
| MATH 16600 Analytic Geometry and Calculus II | 4 |
| Arts and Humanities (choose from list) | 3 |
| COMM-R110 Fundamentals of Speech Communication | 3 |
| Life and Physical Science (approved elective) | 3 |
| World Language | 4 |
| Total | 17 |
Sophomore Year
| Third Semester | |
| MATH 26100 Multivariate Calculus | 4 |
| STAT 35000 Introduction to Statistics | 3 |
| MATH 37300 Financial Mathematics | 3 |
| ECON-S201 Introduction to Microeconomics: Honors | 3 |
| BUS-A200 Foundations of Accounting | 3 |
| Total | 16 |
| Fourth Semester | |
| MATH 35100 Elementary Linear Algebra | 3 |
| MATH 26600 Ordinary Differential Equations | 3 |
| PHYS 15200 Mechanics | 4 |
| ECON-E202 Intro to Macro Economics |
3 |
| 2nd Written Communication Course | 3 |
| Total | 16 |
Junior Year
| Fifth Semester | |
| STAT 41600 Probability | 3 |
| ECON-E305 Money and Banking | 3 |
| BUS-F300 Introduction to Finance | 3 |
| CSCI 23000 Computing I | 4 |
| Social Sciences (choose from list) | 3 |
| Total | 16 |
| Sixth Semester | |
| STAT 37100 Prep for Exam P/1 | 2 |
| STAT 41700 Statistical Theory | 3 |
| Arts and Humanities/Social Sciences (choose from list) | 3 |
| BUS-F305 Intermediate Finance | 3 |
| Life and Physical Science (approved elective) | 3 |
| Total | 14 |
Senior Year
| Seventh Semester | |
| STAT 47200 Actuarial Models I | 3 |
| ECON-E322 Intermed. Macroeconomic Theory | 3 |
| MATH 42100 Linear Prog. and Optim. Tech. or MATH 423 Discrete Modeling | 3 |
| STAT 51200 Regression Analysis | 3 |
| Elective or MATH 39000 (Topics) | 1 |
| Total | 13 |
| Eighth Semester | |
| STAT 47300 Actuarial Models II | 3 |
| MATH 49200 Capstone Experience | 3 |
| Life and Physical Science (approved elective) | 3 |
| ECON-E321 Theory of Prices & Markets | 3 |
| General elective | 1 |
| Total | 13 |
Applied Statistics Option
The Applied Statistics Option for mathematics majors will provide students with the strong background in mathematics and statistics necessary to analyze risks. The secondary area of concentration may be selected by the student or fulfilled by required courses in business and economics.
The Area IV major requirements are as follows:
- Core Curriculum: MATH 16500, MATH 16600, MATH 17100, MATH 26100, MATH 26600, MATH 35100.
- Math Major Concentration: STAT 41600, STAT 41700, STAT 42100, STAT 51200
- Advanced Electives: STAT 35000 or MATH 51100, MATH 41400, MATH 42100, MATH or STAT elective course.
- Secondary area of concentration selected by student.
- Two or three credit hours of MATH 49200 Capstone Experience
Freshman Year
| First Semester | |
| MATH 16500 Analytic Geometry and Calculus I | 4 |
| MATH 17100 Multidimensional Mathematics | 3 |
| SCI-I120 Windows on Science | 1 |
| ENG-W131 Reading, Writing and Inquiry | 3 |
| World Language | 4 |
| Total | 15 |
| Second Semester | |
| MATH 16600 Analytic Geometry and Calculus II | 4 |
| CSCI 23000 Computing I | 4 |
| COMM-R110 Fundamentals of Speech Communication | 3 |
| Life and Physical Science (approved elective) | 3 |
| World Language | 4 |
| Total | 18 |
Sophomore Year
| Third Semester | |
| MATH 26100 Multivariate Calculus | 4 |
| STAT 35000 Introduction to Statistics | 3 |
| MATH 41400 Numerical Methods | 3 |
| Course for concentration or minor | 3 |
| 2nd Written Communication Course | 3 |
| Total | 16 |
| Fourth Semester | |
| MATH 35100 Elementary Linear Algebra | 3 |
| MATH 26600 Ordinary Differential Equations | 3 |
| PHYS 15200 Mechanics | 4 |
| Arts and Humanities (choose from list) |
3 |
| Course for concentration or minor | 3 |
| Total | 16 |
Junior Year
| Fifth Semester | |
| STAT 41600 Probability | 3 |
| Statistics Elective Course | 3 |
| Courses for concentration or minor | 6 |
| Social Sciences (choose from list) | 3 |
| Total | 15 |
| Sixth Semester | |
| STAT 41700 Statistical Theory | 3 |
| STAT 42100 Modern Statistical Modeling/R & SAS | 3 |
| Arts and Humanities/Social Sciences (choose from list) | 3 |
| Course for concentration or minor | 2 |
| Life and Physical Science (approved elective) | 3 |
| Total | 14 |
Senior Year
| Seventh Semester | |
| STAT 51200 Applied Regression Analysis | 3 |
| MATH 42100 Linear Prog. & Opt. Techniques | 3 |
| Course for concentration or minor | 3 |
| Free Electives | 4 |
| Total | 13 |
| Eighth Semester | |
| MATH 49200 Capstone Experience | 3 |
| Course for concentration or minor | 3 |
| Life and Physical Science (approved elective) | 3 |
| Free Electives | 4 |
| Total | 13 |
Secondary School Teaching Option
Students who wish to teach in secondary schools must meet the requirements for teacher certification in the state in which they expect to teach. Interested persons can obtain these requirements by writing to the Department of Public Instruction, Certification Office, in the capital city of any state.
To satisfy Indiana law, a student should have 40 credit hours in general education courses and a specified core of professional education courses as part of the requirement for a teaching license. Students should be sure to see an advisor to ensure that these hours are properly distributed and that the professional education requirements are met.
Courses taken to satisfy the Area IIIC requirements must include PHYS 15200 (or a more advanced physics course).
The Area IV major requirements are as follows:
- Core curriculum: MATH 16500, MATH 16600, MATH 17100, MATH 26100, MATH 26600, and MATH 35100
- MATH 27600 Discrete Math
- MATH 30000 Logic and the Foundations of Algebra
- MATH 45300 Abstract Algebra
- MATH 46300 Intermediate Euclidean Geometry for Secondary Teachers
- Probability and Statistics: STAT 35000
- MATH 58300 History of Elementary Mathematics
- EDUC-M457 Methods of Teaching Senior High/Junior High/Middle School Mathematics
Secondary School Teaching Option Sample Program (124 credits required)
Freshman Year
| First Semester | |
| MATH 16500 Analytic Geometry and Calculus I | 4 |
| MATH 17100 Multidimensional Mathematics | 3 |
| SCI-I120 Windows on Science | 1 |
| ENG-W131 Reading, Writing and Inquiry | 3 |
| World Language | 4 |
| Total | 15 |
| Second Semester | |
| MATH 16600 Analytic Geometry and Calculus II | 4 |
| MATH 27600 Discrete Mathematics | 3 |
| COMM-R110 Fundamentals of Speech Communication | 3 |
| 2nd Written Communication Course | 3 |
| World Language | 4 |
| Total | 17 |
Sophomore Year
| Third Semester | |
| MATH 26100 Multivariate Calculus | 4 |
| MATH 30000 Logic and the Foundations of Algebra | 3 |
| EDUC-H341 American Culture and Education | 3 |
| PSY-B110 Introduction to Psychology | 3 |
| Life and Physical Science (approved elective) | 3 |
| Total | 16 |
| Fourth Semester | |
| MATH 26600 Ordinary Differential Equations | 3 |
| MATH 35100 Elementary Linear Algebra | 3 |
| MATH 58300 History of Mathematics | 3 |
| PHYS 15200 Mechanics | 4 |
| Arts and Humanities (choose from list) | 3 |
| Total | 16 |
Junior Year
| Fifth Semester | |
| CSCI 23000 Computing I | 4 |
| Block I-Diversity & Learning, Content Area Literacy, Field Exp. | 10 |
| Life and Physical Science (approved elective) | 3 |
| Total | 17 |
| Sixth Semester | |
| MATH 46300 Intermediate Euclidean Geometry for Secondary Teachers | 3 |
| Education Block IIA | 7 |
| Education Block IIB-EDUC-M457 Methods of Teaching Senior High/Junior High/Middle School Mathematics | 3 |
| Arts and Humanities/Social Sciences (choose from list) | 3 |
| Total | 16 |
Senior Year
| Seventh Semester | |
| MATH 45300 Abstract Algebra | 3 |
| STAT 35000 Introduction to Statistics | 3 |
| Block III-High School Methods, Field Exp. | 4 |
| Life and Physical Science (approved elective) | 3 |
| Total | 13 |
| Eighth Semester | |
| Block IV-Student Teaching in Middle School/Junior High School Student Teaching in High School | 14 |
| Total | 14 |
