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Applied Mathematics 1 Applied Mathematics 1 MATH 0180 Intermediate Calculus 1 Applied Mathematics MATH 0520 Linear Algebra 2 1 APMA 0350 Applied Ordinary Differential Equations 2 & APMA 0360 and Applied Partial Differential Equations Chair I 3 4 Bjorn Sandstede Select one course on programming from the following: 1 APMA 0090 Introduction to Mathematical Modeling Associate Chair APMA 0160 Introduction to Computing Sciences Kavita Ramanan CSCI 0040 Introduction to Scientific Computing and The Division of Applied Mathematics at Brown University is one of Problem Solving the most prominent departments at Brown, and is also one of the CSCI 0111 Computing Foundations: Data oldest and strongest of its type in the country. The Division of Applied CSCI 0150 Introduction to Object-Oriented Mathematics is a world renowned center of research activity in a Programming and Computer Science wide spectrum of traditional and modern mathematics. It explores the connections between mathematics and its applications at both CSCI 0170 Computer Science: An Integrated the research and educational levels. The principal areas of research Introduction activities are ordinary, functional, and partial differential equations: Five additional courses, of which four should be chosen from 5 stochastic control theory; applied probability, statistics and stochastic the 1000-level courses taught by the Division of Applied systems theory; neuroscience and computational molecular biology; Mathematics. APMA 1910 cannot be used as an elective. numerical analysis and scientific computation; and the mechanics of Total Credits 10 solids, materials science and fluids. The effort in virtually all research 1 ranges from applied and algorithmic problems to the study of fundamental Substitution of alternate courses for the specific requirements is mathematical questions. The Division emphasizes applied mathematics subject to approval by the division. 2 as a unifying theme. To facilitate cooperation among faculty and Concentrators are urged to consider MATH 0540 as an alternative students, some research programs are partly organized around to MATH 0520. 3 interdepartmental research centers. These centers facilitate funding and APMA 0330, APMA 0340 will sometimes be accepted as substitutes cooperative research in order to maintain the highest level of research for APMA 0350, APMA 0360. APMA 1910 cannot be used as an and education in the Division. It is this breadth and the discovery from elective. mutual collaboration which marks the great strength and uniqueness of the 4 Concentrators are urged to complete their introductory programming Division of Applied Mathematics at Brown. course before the end of their sophomore year. For additional information, please visit the department's website: https:// www.brown.edu/academics/applied-mathematics/ Standard program for the Sc.B. degree. Program Applied Mathematics Concentration Eighteen approved semester courses in mathematics, applied Requirements mathematics, engineering, the natural or social sciences. These classes must include: 1 The concentration in Applied Mathematics allows students to investigate the mathematics of problems arising in the physical, life and social MATH 0090 Introductory Calculus, Part I 2 sciences as well as in engineering. The basic mathematical skills of & MATH 0100 and Introductory Calculus, Part II Applied Mathematics come from a variety of sources, which depend on MATH 0180 Intermediate Calculus 1 the problems of interest: the theory of ordinary and partial differential MATH 0520 Linear Algebra 2 1 equations, matrix theory, statistical sciences, probability and decision APMA 0350 Applied Ordinary Differential Equations 2 theory, risk and insurance analysis, among others. Applied Mathematics & APMA 0360 and Applied Partial Differential Equations appeals to people with a variety of different interests, ranging from those I 3 with a desire to obtain a good quantitative background for use in some future career, to those who are interested in the basic techniques and Select one senior seminar from the APMA 1930 or APMA 1940 1 series, or an approved equivalent. approaches in themselves. The standard concentration leads to either 4 the A.B. or Sc.B. degree. Students may also choose to pursue a joint Select one course on programming from the following: 1 program with biology, computer science or economics. The undergraduate APMA 0090 Introduction to Mathematical Modeling concentration guide is available here (http://www.brown.edu/academics/ APMA 0160 Introduction to Computing Sciences applied-mathematics/undergraduate/). CSCI 0040 Introduction to Scientific Computing and Both the A.B. and Sc.B. concentrations in Applied Mathematics require Problem Solving certain basic courses to be taken, but beyond this there is a great deal CSCI 0111 Computing Foundations: Data of flexibility as to which areas of application are pursued. Students are encouraged to take courses in applied mathematics, mathematics and one CSCI 0150 Introduction to Object-Oriented or more of the application areas in the natural sciences, social sciences Programming and Computer Science or engineering. Whichever areas are chosen should be studied in some CSCI 0170 Computer Science: An Integrated depth. Introduction Ten additional courses, of which six should be chosed from 10 Standard program for the A.B. degree. the 1000-level or higher level courses taught by the Division Prerequisites of Applied Mathematics. APMA 1910 cannot be used as an elective. MATH 0090 Introductory Calculus, Part I & MATH 0100 and Introductory Calculus, Part II Total Credits 18 Or their equivalent 1 Substitution of alternate courses for the specific requirements is Program subject to approval by the division. Ten additional semester courses approved by the Division of 2 1 Concentrators are urged to consider MATH 0540 as an alternative to Applied Mathematics. These classes must include: MATH 0520. Applied Mathematics 1 2 Applied Mathematics 3 APMA 0330, APMA 0340 will sometimes be accepted as substitutes to evolutionary biology has grown very rapidly in with the availability for APMA 0350, APMA 0360. of vast amounts of genomic sequence data. Required coursework in 4 Concentrators are urged to complete their introductory programming this program aims at ensuring expertise in mathematical and statistical course before the end of their sophomore year. sciences, and their application in biology. The students will focus in particular areas of biology. The program culminates in a senior Professional Tracks capstone experience that pairs student and faculty in creative research collaborations. The requirements for the professional tracks include all those of each of the standard tracks, as well as the following: Standard program for the Sc.B. degree Students must complete full-time professional experiences doing work that Required coursework in this program aims at ensuring expertise in is related to their concentration programs, totaling 2-6 months, whereby mathematical and statistical sciences, and their application in biology. The each internship must be at least one month in duration in cases where students will focus in particular areas of biology. The program culminates students choose to do more than one internship experience. Such work in a senior capstone experience that pairs student and faculty in creative is normally done at a company, but may also be at a university under the research collaborations. Applied Math – Biology concentrators are supervision of a faculty member. Internships that take place between the prepared for careers in medicine, public health, industry and academic end of the fall and the start of the spring semesters cannot be used to research. fulfill this requirement. On completion of each professional experience, the student must write and upload to ASK a reflective essay about the Required Courses: experience, to be approved by the student's concentration advisor. Students are required to take all of the following courses. On completion of each professional experience, the student must MATH 0090 Introductory Calculus, Part I 1 write and upload to ASK a reflective essay about the experience, to be MATH 0100 Introductory Calculus, Part II 1 approved by the student's concentration advisor: or MATH 0170 Advanced Placement Calculus • Which courses were put to use in your summer's work? Which topics, MATH 0180 Intermediate Calculus (or equivalent 1 in particular, were important? placement) • In retrospect, which courses should you have taken before embarking MATH 0520 Linear Algebra 1 on your summer experience? What are the topics from these courses or MATH 0540 Honors Linear Algebra that would have helped you over the summer if you had been more 1 familiar with them? CHEM 0330 Equilibrium, Rate, and Structure 1 • Are there topics you should have been familiar with in preparation PHYS 0030 Basic Physics A 1 for your summer experience, but are not taught at Brown? What are or PHYS 0050 Foundations of Mechanics these topics? Select one of the following sequences: 2 • What did you learn from the experience that probably could not have APMA 0350 Applied Ordinary Differential Equations been picked up from course work? & APMA 0360 and Applied Partial Differential Equations I • Is the sort of work you did over the summer something you would like APMA 0330 Methods of Applied Mathematics I to continue doing once you graduate? Explain. & APMA 0340 and Methods of Applied Mathematics II • Would you recommend your summer experience to other Brown APMA 1650 Statistical Inference
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