### Duke math 531

Ranked in the top 20 math graduate programs by U. Computational Mathematics involves mathematical research in areas of science and engineering where computing plays a central and essential role Partial differential equations PDEs are one of the most fundamental tools for describing continuum phenomena in the sciences and engineering.

Algebra refers to the use and manipulation of symbols, often with each representing some mathematical entity such as a quantity think integer or Topology is the study of shapes and spaces. What happens if one allows geometric objects to be stretched or squeezed but not broken? Researchers at Duke use geometric methods to study: the geometry and arithmetic of algebraic varieties; the geometry of singularities; general It is at once a theoretical and abstract subject and one which is highly applied In recent decades, an explosive synergy between biology and mathematics has greatly enriched and extended both fields.

Indeed, given its ability to Mathematical physics seeks to apply rigorous mathematical ideas to problems in physics, or problems inspired by physics. As such, it is a remarkably A large number of signals is collected from a wide variety of physical and biological phenomena, and in a variety of forms, ranging from acoustics, Number theory is the study of the integers e.

Topics studied by number theorists include the problem of Functions are representations of relations between sets, and in particular are useful for representing the changing states of a system: the velocity Mathematical research in physical modeling focuses on the formulation and analysis of mathematical representations of problems motivated by other As a field of study, mathematics is unique.

In fact, many sciences rely so heavily on mathematics that their most important questions are, fundamentally, math problems. Read more about our undergraduate program. Major areas of research in the Duke Math Department include Algebra and Combinatorics, Algebraic Geometry, Analysis and Partial Differential Equations, Computational Math, Differential Geometry, Mathematical Physics, Number Theory, Probability Theory and Stochastic Processes, as well as the applications of mathematics to biology, the physical sciences, high-dimensional data, and the analysis of images.

Whether you are planning to major or minor in math, fulfill your graduation requirements, or pick and choose courses that advance your career goals, there are math courses and people here to support you. Gergenformer chairman of the department. These lectures feature the prominent mathematicians of our time.

Read more about the Gergen Memorial Lecture series. The prediction of interactions between nonlinear laser beams is a longstanding open problem. A traditional assumption is that these interactions are deterministic. We have shown, however, that in See also the second talk in the series, on Friday September 11 at noon. See also the first talk on Wednesday September 9 at noon. A key question in population biology is understanding the conditions under which the species of an ecosystem persist or go extinct.

Theoretical and empirical studies have shown that persistence The department also has Daily Tea at 3pm in room during the term. Mathematical sciences are an important part of modern day technological innovation and development. Did you know that math drives the "knowledge economy," including internet startups, biotech, film production, computer games and individualized medicine?

Mathematical sciences help us to understand the spread of flu, earthquakes and avalanches, political upheavals and national economic fluctuations, and much more.

Suppose you love mathematics, but ultimately see yourself pursuing a career as a doctor, lawyer, or in business. You should be aware that professional graduate schools in medicine, law, and business think mathematics is a great major because it develops analytical skills and the ability to work in a problem-solving environment.The skills developed and techniques explored in these courses are necessary for study of advanced statistical methods in the major:.

Electives are intended to provide breadth in statistical thinking and methods. Up to 1 independent study course can be used towards this requirement we will continue to consider up to 2 independent study courses for and May graduates. Faculty advisors and the Director of Undergraduate Studies will help majors to select elective courses in accordance with their academic goals. See Course Descriptions and Pathways for potential choices. If you're nervous about going straight into real analysis, please consider MATH or MATH as an intermediate step between your linear algebra course, or and real analysis.

The mathematical statistics concentration is a great option for those considering graduate study in statistics. The concentration in mathematical statistics can be completed by careful course selection as part of the major. The concentration in data science can be completed by careful course selection as part of the major. Students seeking the Bachelor of Arts major would not take the Applied Elective shown in the charts. Electives Electives are intended to provide breadth in statistical thinking and methods.

Bachelor of Arts: 3 Statistical Science electives Bachelor of Science: 3 Statistical Science electives plus 1 elective from an applied fieldsuch as engineering, mathematics, natural sciences, or one of the quantitative social sciences.

See here for more information on this requirement. Concentration in Mathematical Statistics The concentration in mathematical statistics can be completed by careful course selection as part of the major.

Concentration in Data Science The concentration in data science can be completed by careful course selection as part of the major.

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### Real Analysis I

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If you are interested in receiving credit for a math course to be taken at U. We encourage all students to experience study abroad learning opportunities. One great benefit of doing coursework abroad is to experience a foreign culture and to take courses that build on the unique local experience, such as immersion in the local language, culture, literature, history, and ecology of the area. Like any subject, studying mathematics abroad takes careful advance planning.

Unfortunately different foreign educational systems may package mathematical material into courses differently from how it is commonly done in the U. Thus it is sometimes difficult to find a course abroad that can satisfy a specific required Duke math course requirement. Duke students make arrangements for studying abroad through the Global Education Office.

Since choosing a study abroad program involves many factors, we do not recommend specific programs. Though if you wish to spend the majority of your time doing mathematics, we have heard good reports of the Budapest Semesters in Mathematics program. Since courses can change and students' needs differ, we do not pre-approve courses but instead we will evaluate transfer credit approval on a student by student basis. To request transfer credit approval for a specific math course you wish to take abroad, follow the procedure below.

Send an e-mail to dus-math math. Any questions about taking math courses while studying abroad should be directed to the Director of Undergraduate Studies by e-mail at dus-math math. Skip to main content Study Abroad This page is specifically devoted to the discussion of credit for math courses to be taken at institutions outside of the U. Notes on Study Abroad Transfer Credit Start planning earlyideally two semesters prior to the semester abroad. Researching an approval request takes us time and we get many such requests.

Transfer credit will not be approved for courses for which you do not satisfy the pre-requisites. We will approve a course to transfer as a Duke math course if it covers at least the same material as the corresponding Duke course at the same level. You can avoid wasted time by comparing syllabi and course descriptions yourself and choose a different course when you see obvious differences.

Taking either one of these before study abroad may widen the possible course options you have. As when choosing any course, students may consult with their major advisors regarding appropriate math courses and the strengths of some foreign programs in particular subfields.

At least half of the required courses for a math major or minor should be taken at Duke. Some courses have a different code used for transfer. If you receive transfer credit for Mathand intend to take Calculus II in the fall semester at Duke, you must enroll in Math L.

Math courses taken abroad must be approved by us and the Global Education Office before you go. In case a course is canceled or does not fit the original course description, the student is responsible for contacting the Global Education Office or the Director of Undergraduate Studies for advice and approval of alternate courses.

You are responsible for ensuring that your desired course will actually be offered at the school during the time you are there and that foreign students are allowed to take it.The Department of Statistical Science is helping lead the data and computational revolution through its research, teaching, and service.

Our faculty and students produce groundbreaking research in theory, methods, and applications that ultimately advances science and positively impacts society. We offer undergraduate, master's, and Ph. We offer both a Bachelor of Arts and a Bachelor of Science in Statistical Science exposing students to a broad range of statistical methods using tools from mathematical and computational sciences.

Developing skills and expertise in problem articulation and solving, and abilities to appreciate and accommodate uncertainty in decision-making, are central goals. Graduating students are extremely well-prepared and competitive for graduate study in statistics and allied disciplines, and for early careers in business, finance, law, medicine or other fields.

A Statistical Science minor is also offered. Our Ph. Duke Statistical Science is distinguished by our leadership in the development of theory and methodology of modern, stochastic model-based statistical analysis and Bayesian methods, their integration with research in advanced scientific computation, and collaborative inter-disciplinary applications in many fields.

We focus our research in 50 key areas. Recognizing active research experiences and early research achievements of students at all levels, the Department of Statistical Science annually confers three student awards, each with a monetary prize. Alumni of the undergraduate and graduate programs in Statistical Science can reconnect with classmates and peers through the Duke Statistical Science Alumni Network. UndergraduateMasters and Ph.

The Statistical Consulting Center offers statistical consulting to Duke University faculty, students and staff on research involving statistical methods. Consultants are Duke Statistics faculty and graduate students pursuing Ph.

StatSci Duke The Department of Statistical Science is helping lead the data and computational revolution through its research, teaching, and service. Learn More. Undergraduate Programs We offer both a Bachelor of Arts and a Bachelor of Science in Statistical Science exposing students to a broad range of statistical methods using tools from mathematical and computational sciences.

Graduate Programs Our Ph. Upcoming Events Fri. Latest News Friday, February 28, Thursday, February 20, Open Instructor Search in Statistical Science.

Monday, March 30, Homework: Homework is an absolutely essential component of the course, and your overall performance will largely depend on how much time and energy you put into it. Homework will be assigned regularly but it will not be collected for a grade. However, on each day an assignment is due there will be an in-class quiz, which will count for a grade, testing your knowledge over the homework.

Quizzes: Each quiz will consist of two or three problems from the homework that is due that day. The quizzes will last about 10 minutes. Exams: There will be a total of 3 exams: 2 midterms and a final.

The 2 midterms are as scheduled in the syllabus. Math Course Information :. Location: Physics Time: PMPM. Days: Monday, Wednesday, Friday. Text: Fundamental Ideas of Analysis. Michael Reed. Syllabus: Click here Modified Syllabus: Click here Homework: Homework is an absolutely essential component of the course, and your overall performance will largely depend on how much time and energy you put into it. Feel free to browse and become familiar with it.The courses in the table below are the required core courses for the PhD program, and are typically taken during the first year.

These courses additionally serve as preparation for the Qualifying Exam. A course requirement may be waived only in the special case of satisfactory performance in a previously-taken course that covered the same material. You should select second year courses and more advanced courses, including STA courses and, in some cases, courses from other departments.

## Ph.D. Program Requirements

All course selections must be approved by your advisor. Availability of advanced courses and special topics courses vary depending on departmental offerings from the menu of courses taught every years: see Course schedule.

This is an informal seminar with talks on research given by students and faculty. Skip to main content Ph.

Qualifying Examination : Typically taken at the end of the first year, and must be passed before the start of the third year. Preliminary Examination : Typically taken in the summer after the second year, and must be passed by the end of the third year.

This is an informal seminar with talks on research given by students and faculty and is an excellent way to find out about research areas of potential advisors. In rare cases a student may take MATH concurrently in the first semester, in order to ensure mathematical preparation. Most Ph. Year 2 You should select second year courses and more advanced courses, including STA courses and, in some cases, courses from other departments. Search form Search.

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