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An internationally recognized mathematics program

Our department has been expanding the frontiers of mathematical understanding on a wide range of topics for over 100 years. We are a vibrant center for high-quality research and training at both the graduate and undergraduate levels.

Learn about our degree programs

Academic resources + tutoring.

We offer tutoring and support to help you develop your math skills. There are also many learning resources provided on campus to ensure you can succeed in all of your academic pursuits.

An array of mathematical courses

You can find courses in most major areas of mathematics represented in our department. We also offer several introductory courses so you can determine if a Math degree is a good fit for you. Nearly all undergraduate students take a mathematics course to fulfill the General Education requirements .

Research expertise

Our award-winning faculty are dedicated teachers with expertise in most areas of mathematical research. We are home to the Indiana University Mathematics Journal and host several conferences, a variety of seminars, and at least two distinguished lecture series each year. Our department also has one of the longest-running Research Experiences for Undergraduates (REU) programs in the country.

Departmental news

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Math Department jointly sponsors play Uniform Convergence

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New biography of former faculty IUB Math faculty member María Wonenburger just published

Two teams with iub math grads finish in top 5 of all 2023 erdős data science boot camp projects, faculty members jim davis, michael hill, and matthias strauch receive university instructional awards.

Dylan Thurston

Professor Dylan Thurston Receives Frontiers of Science Award

Saturday, march 2nd, the women in math club (wim) will host the julia robinson math festival from 1-3 pm.

1:00 P.M. – 3:00 P.M.

Second Annual Celebration of Math and Music announced for Feb. 20, 2024

7:00 P.M. – 9:00 P.M.

Math meets Art - Morton Bradley Jr.

2:30 P.M. – 3:30 P.M.

Upcoming Visit - Joel Lash

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University Graduate School Bulletin 2019-2020

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Mathematics

College of arts and sciences.

Departmental E-mail : mathdept [at] indiana [dot] edu

Departmental URL : http://www.math.indiana.edu/  

(Please note that when conferring University Graduate School degrees, minors, certificates, and sub-plans, The University Graduate School’s staff use those requirements contained only in  The University Graduate School Bulletin. )

Curriculum Courses Faculty

Degrees Offered

Master of Arts, Master of Arts for Teachers, and Doctor of Philosophy

Special Departmental Requirements

(See also general University Graduate School requirements.)

Admission Requirements

Undergraduate mathematics major or its equivalent.

Definitions

The Department of Mathematics offers core courses to give our students a broad education in mathematics and to prepare them for more advanced studies in the respective subjects. These core courses are divided into topics as follows:

  • M501/502 Algebra
  • M507/508 Lie Algebras and Lie Groups
  • M511/512 Real Analysis
  • M513/514 Complex Analysis
  • M518 Fourier Analysis (offered sporadically)
  • M521/522/M529 Topology
  • M531/M533/534 Differential Geometry
  • M540/541/542 Partial Differential Equations
  • M544/545 Ordinary Differential Equations
  • M557/558 Dynamical Systems
  • M560/M563/564 Probability
  • M571/572 Analysis of Numerical Methods
  • M583/584 Set Theory/Recursion Theory
  • Outside and miscellaneous courses (cryptography, quantum computing,financial mathematics, computer science, economics, and physics arecommonly used, but others may also be appropriate). Course choices in this category must be approved by the student’s advisor and the director of graduate studies.

These topics serve both to satisfy our breadth requirements as well as to define the possible research areas for a major and minor. Courses other than the core courses may be assigned to these topics with approval of the instructor and the director of graduate studies. Students with a strong interest in Physics are encouraged to consider the Ph.D. program in Mathematical Physics.

Master of Arts Degree

General Course Requirements

Students must complete a total of 30 credit hours, of which 18 credit hours must be from the core courses, taken from at least three different topics. With the permission of the director of graduate studies, core courses can be substituted by more advanced courses from the same topic.

Master of Arts for Teachers Degree

Course Requirements

Students must complete a total of 36 graduate credit hours, with at least one 3-credit hour course in five of the eight topics. At least 21 of the 36 credit hours must be mathematics graduate courses. This includes 400-level courses that carry graduate credit. Those courses are assigned to topics by the director of graduate studies. At most 6 credit hours of other undergraduate mathematics courses at the 300-level or above may count towards the 36 credit hours, but they require consent of the director of graduate studies.

In addition to these 6 credit hours of undergraduate mathematics courses, M391 can also count towards the 36 credit hours.

Doctor of Philosophy Degree

The following course requirements are designed to provide the broad background needed for the successful pursuit of research leading to the dissertation. Students must complete 36 credit hours in mathematics at the 500, 600, or 700 level, excluding M551, M553, M555, M556, M595-M596, and M599, and, in addition, must complete 2 credit hours in M599. Their program of study will depend upon their background and interests. Students should formulate a program in consultation with their faculty advisor.

Reading courses may not be used to satisfy the requirements of these options unless they are specifically approved by the director of graduate studies. A dissertation is required.

Field of Research (Major Area)

The field of research or topic of the major will be one of the topics listed above, or will be listed as Pure Mathematics or Applied Mathematics and Computation, with approval of the advisor and the director of graduate studies.

Breadth Requirements

Students must complete 24 credit hours from the core courses, with 6 hours in each of at least four different topics. With the permission of the director of graduate studies, core courses can be substituted by more advanced courses within the same topic.

One of the topics covered must be in the major area.

A Ph.D. student must complete a minor in mathematics, or in some other department. If the student chooses to minor in another department, she or he must satisfy that department’s requirements as described in the University Graduate School Bulletin and have that department notify the Department of Mathematics Graduate Office that she or he has done so.

To complete a minor in mathematics itself, the student must complete 9 credit hours of courses in one of the topics above, except the Outside topic. This topic must also be different from that of the Major (Field of Research), and the courses used to cover the Minor must be different from those used to cover the breadth requirements. The chosen topic will then be the topic of the minor. Alternatively, it can be listed as Pure Mathematics or Applied Mathematics and Computation, with approval of the advisor and the director of graduate studies.

Foreign Language Requirement

The student must demonstrate reading proficiency in one foreign language in which major research articles in mathematics are published. Acceptable languages are German, French, and Russian or another language deemed to be more relevant by the dissertation advisor. The Graduate Policy Committee of the Department of Mathematics will consider petitions for substituting other languages.

Qualifying Examinations

The Department of Mathematics qualifying exam comprises a three-tier system designed to help determine as quickly and efficiently as possible whether students have mastered basic mathematics, exhibit the necessary abilities and self-discipline, and have prepared themselves to pursue the independent research necessary to earn the Ph.D. degree.

Tier 1 (Comprehensive 400-Level Written Exams)

Ph.D. students will take written exams on both 400- level algebra and analysis. The exams will be given during the week before classes begin in the fall and in the spring. Each part of the exam lasts four hours.

New students may take either or both of the Tier 1 exams in August when they first arrive. A student is allowed to try each exam each time it is offered, but s/he must pass both exams prior to the end of the second year of study.

Syllabi, references, and sample problems for these exams are available on the Department of Mathematics web site.

Tier 2 (Committee Review)

Each spring/summer, a departmental committee will review the record of every student who has either:

  • Completed two years in the program without previous review, or
  • Passed the Tier 1 exams on entrance to the program and elects thereview at the end of the first year.

The student will:

  • Provide to the graduate office a personal statement that describes thestudent’s plan for further study and research, including a proposal for thearea of research and a topic for a minor.
  • Request an “endorsement” from his or her (interim) advisor or another faculty member. By endorsing astudent, the faculty member agrees to guide the student to prepare for the Tier 3exam.

The review committee will decide which students may continue toward Ph.D. candidacy. The committee’s considerations will include:

  • Performance on the Tier 1 exams.
  • Performance in 500-level coursework.
  • A faculty endorsement.
  • Written personal statement by student.
  • Student’s performance of assistantship duties.

In support of the Tier 2 review, grades in 500-level courses will be given and evaluated according to the following guidelines:

  • A grade of A means that, based on the student’s work in that course, theinstructor believes the student will succeed in being admitted to Ph.D.candidacy.
  • A grade of B means that the student’s work in that course is satisfactory,but the instructor has reservations (based on that work) about thestudent’s ability to be admitted to candidacy.
  • Lower grades will indicate unsatisfactory work.

All students must maintain at least a B average in their coursework, in accordance with currently published departmental and university guidelines.

As indicated above, students can accelerate their progress in the program by passing the Tier 1 exams on entrance into the program and electing to take the Tier 2 review at the end of their first year. The review committee will treat this as favorable for a student’s case. Students who elect to accelerate their progress in this way will be expected to pass the Tier 3 (Oral Exam) by the end of the Fall semester of their third year.

Students who do not receive a recommendation to continue will be encouraged to complete the M.A. degree. If they have financial support at the time of review, they will be entitled to at least one additional semester of support in order to do so.

Tier 3 (Oral Exam)

After passing the Tier 2 review, a student must arrange and pass an oral examination before October of his or her fourth year. The student will seek the direction of a faculty member as a scientific advisor for this exam. The faculty member will assign a reading list consisting of texts and research-level papers; this material will comprise the major topic of the exam. If and when the scientific advisor feels the student is ready for the exam, the advisor will arrange for a three-member faculty committee to administer the exam.

The student will submit for approval a proposal for the Tier 3 exam to the director of graduate studies, consisting of topics for the major and minor area of the examination, a syllabus and a reading list for the major and minor topic, and the list of three faculty members serving as the Tier 3 committee.

These exams are projected to last approximately two hours, and one of the committee members must be qualified to examine the student in the minor area, where the student must demonstrate 500-level mastery. In order to pass the exam, the student must:

  • Demonstrate a level of mathematical ability and maturity sufficient forsuccessfully undertaking a Ph.D. dissertation (normally in the major areaof the exam), and
  • Identify a faculty member willing to serve as Ph.D. advisor. This willtypically, but not necessarily, be the faculty member who organized theexam.

Ph.D. Minor in Mathematics

Doctoral students in other departments may complete a minor in mathematics by satisfying one of the following options: (1) 9 credit hours of mathematics courses at the 400 level or above, or (2) M343-M344 and 6 credit hours of mathematics courses at the 400 level or above. Reading courses (e.g., M800) and courses taken at other universities will not satisfy the course requirements for the Ph.D. minor.

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indiana university mathematics phd

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Math - COAS

Welcome to the department.

In our highly quantitative society, knowledge of Mathematics and Actuarial Science allows one to be more competitive in regional and national job markets and professional/graduate schools.  The goal of the department, therefore, is to present students with a set of mathematical tools and enable them to use those tools to begin technical careers or pursue further study in Mathematics or related fields.

Book publication by Dr. Iztok Hozo

In 2023, our faculty member Dr. Iztok Hozo published a book on mathematical decision-making models in Medicine. The book provides threshold models to help physicians in making optimal diagnostic, therapeutic and predictive decisions. Readers will not only find theoretical information but also practical examples illustrating how these decisions  should be made.

Book cover

Nationally ranked

Indiana University Northwest made a Top 40 List of Actuarial Science programs in the U.S., taking the Number 28 spot in a ranking by Online Accounting Degree Programs .

IU Northwest Actuarial Science students reach finals in international competition

Team’s winning case study was among 70 entries from top universities worldwide and the only U.S. team in top seven.

Department Highlights

The degree programs of our department provide students with effective curricula, led by experienced faculty.

Our faculty members are dedicated and student-focused teachers who have been recognized by a variety of awards, such as the Founder's Day Teaching Award, the Board of  Trustees '  Teaching   Award, and membership in the  IU Faculty Colloquium on Excellence in Teaching (FACET).

The faculty members of our department pursue vigorous research programs in different areas of Mathematics and its applications with more than one hundred publications to their credit. Students benefit from the faculty’s diverse research interests and can participate in undergraduate research projects, for example as part of their senior thesis.

Students pursuing a Bachelor of Science in Actuarial Science degree will receive a solid background for their actuarial exams. The department offers several courses designed specifically to fit the requirements of the actuarial exams, better preparing students to pass them. Most faculty members have actuarial exam experience and can expertly advise students in their preparations for their exams.

  • Career Opportunities

A graduate with a degree in mathematics is qualified for a broad range of positions in industry, business, academia, and government that require analytical thought and problems solving.  Graduates often work as system analysts, actuaries, and statisticians in banks, bureaus, consulting firms, and computer and communications industries.

The field of actuarial science offers exciting executive careers for students with a strong background in mathematics.  Specific opportunities include life, health, and casualty insurance, pension plan management, investment, and consulting.  Graduates of the IU Northwest actuarial science program have obtained excellent starting positions in Chicago and Indiana.

For More Information

Browse the links listed above of download the Departmental Information Sheet for either Mathematics or Actuarial Science to learn about degree and course requirements, students clubs and activities, and more.

Thank you for your interest in the Department of Mathematics and Actuarial Science at IU Northwest!

Office Hours

Monday ‑ Friday: 8:00 a.m. ‑ 5:00 p.m

Department Coordinator

Kristie Gilmore (219) 981-5691 [email protected]

(219) 981-4247

Department Chair

Axel Schulze-Halberg (219) 980-6780 [email protected]

Mailing Address

IU Northwest Mathematics and Actuarial Science Department Hawthorn Hall, Room 445 3400 Broadway Gary, Indiana 46408

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Mathematics, Graduate Certificate

Learn to integrate new mathematical concepts and approaches into your teaching with the Graduate Certificate in Mathematics from IU Online. Advance and enhance your education career with this fully online, flexible program designed to work with your schedule.

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Students in a math class sit with their desks arranged in a circle, facing the instructor holding a math book.

Course Delivery : 100% Online

Total Credits : 18

In-State Tuition Per Credit : $332.44

Out-of-State Tuition Per Credit : $491.08

Cost of attendance may vary by campus. View the total cost calculator

Students solve equations on a whiteboard.

Degree Overview

As a student in the Graduate Certificate in Mathematics, you’ll get  graduate-level instruction in various mathematical topics. You’ll choose courses from the following areas of study: algebra, analysis, typology and geometry, differential equations and applications, and probability and statistics. This program may be of special interest to instructors of finite mathematics, calculus, and other college-level mathematics courses.

You’ll graduate with an Indiana University certificate respected by employers worldwide—and you can work on yours anytime and anywhere. Plus, you’ll enjoy personalized support services throughout your academic journey.

To be accepted to this program, you must have:

  • A bachelor's degree Applicants to the Graduate Certificate in Mathematics must hold either a bachelor's degree in mathematics, a bachelor's degree in education with a mathematics concentration or outside area, or two years of secondary teaching experience in dual-credit mathematics.
  • 3.0 GPA or above on a 4.0 scale

To apply to this program, complete an online application that includes: 

  • Official transcripts
  • 250-word personal statement explaining background and reasons for entering the program

Application Dates

Fall semester: Aug 1

Spring semester: Jan 1

Summer I semester: May 1

Summer II semester: Jun 15

Of Special Interest for Teachers/Instructors Needing to meet HLC Dual-Credit Standards

The Graduate Certificate in Mathematics is ideal for those who want to teach dual-credit courses and who need to meet Higher Learning Commission dual-credit qualification standards. These standards require teachers wanting to teach dual-credit courses in mathematics to hold either a master's degree in mathematics or a master's degree in another discipline (such as education), plus at least 18 credit hours of discipline-specific graduate coursework.

If you hold a master's degree in a discipline other than mathematics, you can meet HLC standards by completing the 18 credit hour Graduate Certificate in Mathematics. If you plan to pursue the IU Online M.A.T. in Mathematics , you may apply the 18 credit hours from the Graduate Certificate in Mathematics toward the master's degree.

Certificate Requirements

To earn the Graduate Certificate in Mathematics, you must complete 18 credit hours. Requirements are broken down as follows:

  • Mathematics core courses (9 credit hours)
  • Mathematics elective courses (9 credit hours)

Find course descriptions with our Search Schedule of Classes/Courses tool .

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Apply for a Ph.D.

How to apply to a math ph.d. program.

You can pursue a Ph.D. degree in mathematical sciences in three disciplines.

  • Pure mathematics
  • Applied mathematics
  • Mathematical statistics

Admissions requirements

Applications are invited from individuals with a strong background in mathematics who have an M.S. in mathematics or have successfully completed a bachelor's degree with advanced courses in mathematics.

A minimum cumulative GPA of 3.0 is required.

Competitive applicants will have successfully completed the following coursework:

  • Linear algebra
  • Abstract algebra
  • Complex analysis
  • Real analysis
  • Numerical analysis
  • Partial differential equations (PDE)
  • Ordinary differential equations (ODE)
  • Probability

Application instructions

To apply to a Ph.D. program, you'll need to complete Indiana University's online graduate application.   Visit the Graduate Office website   to learn more about the centralized application system. You can also find   tips for applying .

International applicants can   visit the Office of International Affairs website   for information about the application process.

To start your application,   select the term you are applying for , then click   Apply Now   to access the application portal. Find your math program by using the search and filter functions.

Start your application

Application tips

Information for international applicants

What to submit with your application

Gre test scores.

  • GRE is not required for application or financial support.
  • GRE is encouraged and is considered as a plus for the application.
  • Math subject GRE is more important than general GRE.

IUPUI’s school code for the GRE is 1325.

Proof of English proficiency

If your native language is not English, you must demonstrate English proficiency through one of the following:

  • Official TOEFL scores
  • Official IELTS scores
  • Proof of successful completion of a post-secondary degree at a college or university in a native-English speaking country or country recognized by IUPUI for TOEFL exemption within two years of the anticipated enrollment semester.

TOEFL scores

Your TOEFL score report must not be more than two years old (IUPUI's school code for the TOEFL is 1325). You must have one of the following:

  • Score of 570 on paper-based test with the same minimum scores as the internet-based test
  • Score of 230 on computer-based test
  • Speaking 18
  • Listening 14

International English Language Testing System (IELTS)

You must have scores of at least 6.5 with the following sub-scores:

  • Reading: 6.5
  • Listening: 6.0
  • Speaking: 6.0
  • Writing: 5.

Official PTE (Pearson Test of English) score of at least 58.

Duolingo english test (det)—you must have a minimum score of 105..

Note: After admission is granted and prior to IUPUI course registration, non-native speakers of English may be required to take the English for Academic Purposes (EAP) Placement Test through IUPUI's Testing Center and take supplemental English courses if prescribed based on the results.

This information will be provided in the admission letter sent by the Office of International Affairs, if admission is granted.

U.S. Permanent Residents

Non-native speakers of English who are U.S. permanent residents must demonstrate English proficiency through one of the IUPUI approved options for admission purposes. After admission is granted and prior to IUPUI course registration, U.S. permanent residents may be required to take the English for Academic Purposes (EAP) Placement Test through IUPUI’s Testing Center and take supplemental English courses if prescribed based on the results. 

Personal statement

The Graduate Admissions Committee is looking for a statement that outlines your personal and professional goals (300–500 words). This must be uploaded to the online application.

Tips for writing a personal statement »

Resume or CV

You will be required to upload a current resume or CV in the Program Materials section of the application.

Three letters of recommendation

Requests for letters of recommendation are submitted through the online application. You must list three references on your online application with their contact information (valid email address, title, institution, mailing address, and phone number) so that the requests may be sent.

Official transcripts

Official transcripts and evidence of degrees awarded from each post-secondary school attended must be sent directly to the department:

If the original documents are not in English, you must submit a certified translation of each official transcript and degree certificate. Notarized copies are NOT acceptable.

If you are requesting a transcript directly from an academic institution, please have the institution submit the official transcript to mathgrad@iupui.edu . If you are a student wishing to submit an electronic transcript directly, please submit the transcript through the application system. Do not send emails with attached transcripts.

Application and materials deadlines

For fall semester admission:.

February 1 for consideration for university fellowships and departmental financial support. Applications received by March 1 will be considered as space and funding allow.

For spring semester admission:

November 15 (October 1 for international students)

Ready to apply?

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indiana university mathematics phd

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indiana university mathematics phd

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indiana university mathematics phd

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indiana university mathematics phd

Graduate Study at USI    >>  Pott College of Science, Engineering, and Education    

812-465-7024

30 Credit hours

MSE Program Information

Program description.

The Master of Science in Education (MSE) degree program involves advanced study designed to enhance the knowledge and skills of licensed, practicing teachers in P-12 schools. The program blends studies of educational theory with analysis of current educational issues and practices. The program of study includes 30 credit hours culminating in a research project implemented in the graduate student’s P-12 classroom or school. The program does not lead to initial teacher licensure. However, courses may be used for license renewal. Programs are offered in the following areas:

  • Curriculum and Instruction
  • Educational Leadership and Administration
  • Secondary Mathematics Teaching

Graduate Studies Admission Criteria and Application Process

Refer to the Admission    section of the bulletin for information about Graduate Studies admission criteria and the online application process.

MSE Program Admission Requirements

Applicants must be admitted to Graduate Studies then be accepted into the specific MSE track. In addition to the requirements for admission to Graduate Studies, admission to the MSE program requires the following:

  • A baccalaureate degree (minimum cumulative GPA 2.75) from an accredited college or university with a degree in education or a related field
  • A minimum GPA of 3.0 in all courses taken at the graduate level at all schools attended
  • A copy of a standard U.S. teaching license or an approved waiver form
  • A completed personal information form that includes a record of teaching experience (e.g. curriculum vitae, resume)

The (Secondary) Mathematics Teaching track also requires a baccalaureate degree with a major in mathematics or mathematics teaching.

Program Outcomes

All Master of Science in Education programs address learning outcomes in the areas of advanced instruction, curriculum theory, human development, and social foundations appropriate for the specific emphasis. Graduates of the Master of Science in Education with an emphasis in Secondary Mathematics Teaching will:

  • demonstrate an understanding of the varied dimensions of the relationship between schools and their surrounding community, as well as the ability to use that understanding to ensure equitable and respectful treatment of all stakeholders and develop and implement a collaboratively developed mission and vision for a school;
  • critically evaluate research on educational issues such as pedagogical practices, student learning, and educational polices and engage in action research to advance student learning;
  • apply theories and best practices of curriculum, instruction, and assessment relevant to their roles in education;
  • engage in reflection and critical inquiry to explore educational issues related to curriculum and instruction;
  • demonstrate knowledge of advanced mathematics in the areas of mathematics typically taught in grades 9-12; and,
  • apply mathematics processes in their own learning of advanced mathematics.

The Master of Science in Education degree program with an emphasis in Secondary Mathematics Teaching is designed to enhance the content knowledge and skills of licensed, practicing secondary mathematics teachers. Eighteen credit hours in mathematics classes prepares graduates of the program to teach dual-credit mathematics courses or to teach mathematics at some higher education institutions. 

Mathematics Courses (18 hours)

Choose 6 of the following seven courses:

  • MATH 603 - Fundamental Concepts of Algebra Credits: 3
  • MATH 604 - Fundamental Concepts of Geometry Credits: 3
  • MATH 605 - Problem Solving in Mathematics Credits: 3
  • MATH 611 - Introduction to Analysis for Secondary Teachers Credits: 3
  • MATH 621 - Technology for Teaching Mathematics Credits: 3
  • MATH 641 - Number Theory and Applications Credits: 3
  • STAT 638 - Fundamental Models in Statistical Inference Credits: 3

Education Core (6 hours)

  • EDUC 523 - Collaborative Partnerships Credits: 3
  • EDUC 604 - Equity Education Credits: 3

Research Sequence (6 hours)

All MSE students must complete the 6 hour research sequence. Note: these courses must be taken at USI. Transfer courses will not be accepted for the research sequence.

  • EDUC 601 - Research in Education Credits: 3
  • EDUC 699 - Supervised Research Credits: 1-3  (3 Credits required)
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School of Education

Mathematics education, department of curriculum and instruction.

Explore your passion for teaching and researching math.

Our programs involve you in developing the skills you need to work in a variety of domains in the field of Mathematics Education, such as research, teacher education and curriculum development.

You’ll learn new strategies for engaging students, from problem-based, discussion-rich teaching methods to appropriate uses of technology in mathematics classrooms.

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Available programs.

Ph.D. in Curriculum and Instruction – Specialization in Mathematics Education

Ed.D. in Curriculum and Instruction – Specialization in Mathematics Education (Online)

M.S.Ed. in Secondary Education – Mathematics Education Track

Undergraduate License Addition in Mathematics

Ph.D. Minor in Mathematics Education

Career options range from teaching in middle and high schools to becoming a mathematics educator at colleges or universities.

Our faculty are well-known for their research in student learning, teacher education, assessment, technology, and a number of other areas.

  • Mathematics Graduate Student Portal

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Enrique Galindo

Associate professor.

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Amy Hackenberg

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Erik Jacobson

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Sarah Lubienski

Executive associate dean.

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Erik Tillema

Affiliated faculty.

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Crystal Morton

Associate professor, adjunct associate professor in africana studies.

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Craig Willey

Associate professor, dept. chair of urban teacher education.

Amy Hackenberg Professor ED 3060 ahackenb@iu.edu (812) 856-8149

Start your life-changing journey

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Mr. Khalid Siddiq

indiana university mathematics phd

indiana university mathematics phd

Indiana teen, 15, set to become youngest college graduate in state’s history: ‘The sky is the limit’

A true wunderkind.

A 15-year-old Indiana student is set to become the youngest-known college graduate in the Hoosier state — and he did so while earning his high school degree at the same time.

Khaya Njumbe will receive his bachelor’s degree in general studies from Indiana University Northwest on May 8 with dreams of becoming a doctor, according to the university.

Njumbe started studying at IU Northwest when he was only 12, taking online and in-person classes while maintaining extracurricular activities, such as playing piano and learning Chinese.

He had been enrolled at the university while taking dual-credit courses at the 21st Century Charter High School in Gary, Ind., which allows students to take college courses and earn associate degrees before graduation. 

However, the young phenom challenged himself and took the opportunity to a place no student before him had ever done, and he finished with enough college credits to earn his bachelor’s degree.

“I guess a lot of people would think that I’m surprised, didn’t think I was going to be able to do this,” Njumbe said. “It’s pretty normal for me now because as far back as I can remember, that’s all I’ve known.”

The young wiz kid has already earned three associate degrees in biology, liberal arts, and general studies from Ivy Tech.

Jack Bloom, a Sociology and Anthropology professor at IU Northwest who has been teaching at the university for 45 years, said Njumbe is a one-of-a-kind student.

“You can count on him. He is a serious student. He does the reading. He produces great work,” Bloom told WGN9 .

Njumbe’s age has captivated those across campus.

He was once accused of having a fake school ID while he played basketball in the school’s gymnasium and was mistaken for a professor’s grandson while in class.

His parents, Belinda and David Njumbe, always knew their son was gifted. 

The couple told the outlet that Njumbe would recite the words flashing on the screen from the ‘Your Child Can Read!’ DVDs at 13 months old.

Njumbe showed a strong interest in education as far back as his parents could remember, and was enrolled in a reading program at IU Northwest when he was 4 years old.

“Since he was 4, he said this is the school he’s going to go to,” Belinda Njumbe told the university. 

His mother said she homeschooled him for a few years and that no matter how advanced the material was, he was able to blow through it and complete entire grade levels in months.

Njumbe’s passion for knowledge was “fun” for him, and even when he wasn’t in school, he wanted to be learning. 

“I would just watch YouTube videos and then YouTube would recommend more educational content and I would just keep clicking to the next video, from video to video. And I would just remember it,” he said.

Belinda Njumbe said nothing could stop her son from learning.

“Something comes into him. When he clicks, he gets out of bed, he has to go and do that. If it’s a math problem, he will get up in the middle of the night and figure it out,” she said, adding that she’s caught him speaking Chinese while sleeping.

The boy genius’s plans to pursue a degree in medicine were put on pause until he turned 18 due to labor laws, but he has no plans to stop his education journey. 

Njumbe said he plans to find a master’s program as he prepares for medical school.

His goal is to get his doctorate in biomedical engineering from IU Northwest by the time he’s 22 years old.

“The sky is the limit for him,” 21st Century School social worker Theresa Canady told WGN9. “I see him doing exactly what he wants to do and more.”

Indiana teen, 15, set to become youngest college graduate in state’s history: ‘The sky is the limit’

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indiana university mathematics phd

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Looking at health data from all the angles

At a glance.

Start dates

Identifying problems and crafting solutions using biomedical data—while never forgetting patients’ needs—is what we’re all about. The Master of Science in Health Informatics degree integrates health care, health information technology, informatics, and many other fields. Our students learn to analyze and protect patient data, and to improve the quality of medical care and make it more efficient.

About the Health Informatics master's degree

Learning outcomes.

Upon completion of the Master of Health Informatics, students attain the following competencies expected of practitioners in the discipline:

Fundamental professional and interdisciplinary skills:

  • Analyze problems: Analyze, understand, abstract, and model a specific biomedical problem in terms of their data, information, and knowledge components.
  • Produce solutions: Use the analysis to identify and understand the space of possible solutions and generate designs that capture essential aspects of solutions and their components.
  • Implement, evaluate, and refine: Carry out the solution (including obtaining necessary resources and managing projects), evaluate it, and iteratively improve it.
  • Innovate: Create new theories, typologies, frameworks, representations, methods, and processes to address biomedical informatics problems.
  • Work collaboratively: Team effectively with partners within and across disciplines.

Health and health care systems skills:

  • Understand the fundamentals of the field in the context of the effective use of biomedical data, information, and knowledge.
  • For substantive problems related to scientific inquiry, problem solving, and decision making, apply, analyze, evaluate, and create solutions based on biomedical informatics approaches.
  • Apply, analyze, evaluate, and relate biomedical information, concepts, and models spanning molecules to individuals to populations.
  • Analyze and evaluate complex biomedical informatics problems in terms of data, information, and knowledge.

Technological skills:

  • Apply, analyze, and create data structures, algorithms, programming, mathematics, statistics.
  • Apply, analyze, and create technological approaches in the context of biomedical problems.
  • Apply and evaluate methods of inquiry and criteria for selecting and using algorithms, techniques, and methods to solve substantive health informatics problems.

Human and social context:

Health Informatics recognizes that people are the end users of biomedical information, draws on the social and behavioral sciences to inform the design, development, and evaluation of technical solutions, policies, and economic, ethical, social, educational, and organizational systems.

The above learning outcomes are guided by this article:

Kulikowski, C. A., Shortliffe, E. H., Currie, L. M., Elkin, P. L., Hunter, L. E., Johnson, T. R., … & Smith, J. W. (2012). AMIA Board white paper: definition of biomedical informatics and specification of core competencies for graduate education in the discipline.  Journal of the American Medical Informatics Association ,  19 (6), 931-938.

CAHIIM-accredited and AMIA-approved

CAHIIM Seal

Our Master of Science in Health Informatics is accredited by the Commission on Accreditation for Health Informatics and Information Management Education (CAHIIM) and approved by the American Medical Informatics Association (AMIA)

The Health Informatics accreditor of Indiana University is the Commission on Accreditation for Health Informatics and Information Management Education (CAHIIM). The College’s accreditation for Master’s degree in Health Informatics has been reaffirmed through 2030. All inquiries about the program’s accreditation status should be directed by mail to CAHIIM, 200 East Randolph Street, Suite 5100, Chicago, IL, 60601; by phone at (312) 235-3255; or by email at [email protected] .

Degree requirements

Our 36-credit-hour program equips students to examine how patients use their health care information, and to the build the tools that make it easier to manage unstructured data and extract useful information. By learning how to appropriately utilize natural language processing and other tools, our graduates can improve clinical decision support, electronic health records management, and patient privacy.

You’ll complete your health informatics master’s degree with either a thesis or a project, which provides a practical solution to a health information problem.

View the degree requirements

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Far-reaching health informatics careers

You’ll find our graduates creating technologies used on the front lines of medicine, shaping electronic health record and clinical information systems, ensuring privacy and the security of health information, and helping clinical teams use digital devices and new technologies to serve more patients.

Our graduates are employed as:

  • Access program manager
  • Clinical informatics associate
  • Clinical quality analyst
  • Clinical research
  • Data engineer
  • Health data analyst
  • Medical informaticist
  • Public health informatics analyst
  • Quality management

Our graduates work in:

  • Insurance companies
  • Government agencies
  • Health IT software companies

$72,000 Median starting salary

98% Employed / Continuing Education

86.8% Retention rate

73.7% Graduation rate

Related degrees

Clinical informatics certificate.

Designed for physicians, nurses, and other clinical health care professionals seeking leadership roles in health information systems.

Dental Informatics Certificate

Dental Informatics professionals oversee information systems utilized in dental practices and develop technology to improve dental care.

Health Information Security Certificate

Provides knowledge in policy, risk assessment, and business continuity for health care and public health organizations.

Public Health Professional Certificate

This program is designed to meet the core competencies for public health informaticians as described by the Centers for Disease Control and Prevention.

Health Information Management Post-Baccalaureate Certificate

This certificate prepares you to work as a health information management professional.

Ready to get started?

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Luddy Indianapolis

Mathematical Physics (Physics)

Doctor of Philosophy

Offered at IU Bloomington by College of Arts and Sciences .

Students pursuing a Ph.D. in Mathematical Physics can be in residence in either the Department of Physics or the Department of Mathematics.

The Mathematical Physics Ph.D. degree curriculum focuses on using techniques from mathematics to formulate and solve problems in physics as well as applying insights from physics to the solution of problems in mathematics. The program offers advanced training for students in the overlapping areas of mathematics, theoretical physics, and their applications from a unified point of view and promotes research in the field.

Indiana University's Department of Physics is known for conducting world-leading research across a wide portfolio of subdisciplines in physics while also cultivating knowledge in both graduate and undergraduate students. The department pays close attention to mentoring, advising, and professional development. And while research involves inquiry into vast and intractable problems, the faculty are interactive, friendly, and personable.

IU's Department of Mathematics has been expanding the frontiers of mathematical understanding on a wide range of topics for over 100 years. It is a nationally recognized and vibrant center for high-quality research and training with faculty who conduct world-class research.

The department enjoys the vast resources and opportunities for interdepartmental collaboration offered by Indiana University, a Research 1 institution, striving to maintain representation in most major areas of mathematics research. Within the department, an atmosphere of inquiry and dedication to teaching make for a collegial atmosphere where abundant seminars offer the opportunity to engage with members of the department and their work.

  • Department of Physics website Visit the Physics website for more information.
  • Department of Mathematics website Visit the Mathematics website for more information.
  • Requirements Read the requirements in the Academic Bulletin.

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Inaugural leader of IU Indianapolis research institute named

Chia-Ying “James” Lin, a leading biomedical researcher and innovator, has been named the first executive director of the Convergent Bioscience and Technology Institute at Indiana University Indianapolis.

The institute is part of a $250 million investment from the university to advance scientific discoveries aimed at curing and treating diseases and improving human health.

James Lin

“Indiana University’s commitment to the biosciences is driving innovative discoveries and lifechanging health outcomes for Hoosiers across our state,” IU President Pamela Whitten said. “With James Lin leading the way, the Convergent Bioscience and Technology Institute will expand IU’s role in central Indiana’s thriving biosciences community, accelerating the tremendous impact of IU’s transformative research.”

Lin, who will also serve as professor of biomedical engineering in the Luddy School of Informatics, Computing and Engineering, will assume the role Aug. 26.

“I am pleased to welcome Dr. James Lin as the executive director of the Convergent Bioscience and Technology Institute,” IU Indianapolis Chancellor Latha Ramchand said. “An award-winning scientist, Dr. Lin brings extensive experience in orthopedic medicine, in translational research in tissue engineering and as a successful entrepreneur, all of which make him the ideal leader for an institute that will accelerate the impact of IU Indianapolis’ research and development.”

Lin will provide a comprehensive vision for the Convergent Bioscience and Technology Institute, which will drive interdisciplinary bioscience and technology research and collaboration within IU, including with researchers at the IU School of Medicine and with industry partners such as the Indiana Biosciences Research Institute and BioCrossroads. Under his direction, innovative discoveries such as wearable and implantable medical devices and sensors and AI-enabled drug discovery and delivery will be pursued.

“I am thrilled to embark on this transformative journey at a historical juncture to become the inaugural executive director of the Convergent Bioscience and Technology Institute and to join the Luddy School of Informatics, Computing and Engineering at IU Indianapolis,” Lin said. “I look forward to working alongside faculty and university leaders to establish the institute as a vital component to increasing research creativity and productivity. Our vision is to lead at the intersection of cutting-edge bioscience and technology, driving innovation that positively impacts our society.”

Aligned with the goals of the IU 2030 strategic plan , the institute will work to deliver IU health and science innovations from the bench to the bedside, while also helping to grow the disclosure and licensing of inventions, discoveries and innovations, industry partnerships, and IU-launched startup companies.

“Over the next five years, the Convergent Bioscience and Technology Institute will focus on fostering interdisciplinary collaborations, accelerating research translation and nurturing talent to address critical global challenges,” Lin said. “Central to our strategy is convening an esteemed advisory board composed of leaders from academia, industry and government. By integrating diverse expertise and leveraging emerging technologies, such as artificial intelligence and machine learning, we will work together to chart a course that delivers breakthrough innovation, secures strategic partnerships and ensures that our institute’s impact extends far and wide.”

Lin is currently at the University of Cincinnati, where his research focuses on the development of new innovations for tissue engineering and regenerative medicine, with outcomes that have drastically improved the current standards for treating musculoskeletal disorders. His research in bio-fabrication has resulted in numerous inventions and applications in repair of congenital defect and skeletal reconstruction. He collaborates with key partners in the greater Cincinnati area on joint research ventures, including Cincinnati Children’s Hospital and Procter & Gamble.

An entrepreneur, Lin has co-founded multiple startups, including one recently acquired by DePuy Synthes, a subsidiary of Johnson & Johnson. His most recent startup, a biopharmaceutical company called Amplicore Inc., specializes in the development of novel injectables to treat injured and degenerative skeletal soft tissues.

“We are thrilled to have James Lin lead the Convergent Bioscience and Technology Institute at IU Indianapolis, where his leadership will be instrumental in expanding our role in driving biosciences discovery in central Indiana,” said Phaedra Corso, IU associate vice president for research and vice chancellor for research at IU Indianapolis. “His innovative thinking and collaboration with industry partners will support the growth of transformative research that will improve Hoosier lives and our economy, while also helping to establish IU Indianapolis as one of the nation’s premier urban research universities.”

Lin earned a Ph.D. and master’s degree from the University of Michigan, where he began his academic career as assistant professor in neurosurgery and served as the founding director of the Spine Research Laboratory. He earned his bachelor’s degree from National Taiwan University.

Kelsey Cook

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