数学 Major
A mathematics degree from Harvey Mudd College will prepare students for a variety of careers in business, industry or academics. Mathematical methods are increasingly employed in fields as diverse as finance, biomedical research, management science, the computer industry and most technical and scientific disciplines. To support the academic and professional goals of our majors, we offer a wide selection of courses in both pure and applied mathematics. This selection is enhanced by courses offered in cooperation with the other Claremont Colleges, including graduate courses at the Claremont Graduate University.
学生 will have many opportunities to do mathematical research with faculty through independent study, a summer research experience, or their senior capstone experience. Active areas of mathematical research at HMC and 的 Claremont Colleges include 代数, 代数ic geometry, algorithms and computational complexity, 组合, differential geometry, dynamical systems, 流体力学, 图论, 数论, numerical 分析, mathematical biology, mathematics education, operations research, partial differential equations, real and complex 分析, statistical methods and 分析, 和拓扑结构.
的 culmination of the degree is the senior capstone research experience: every student experiences a taste of the life of a professional mathematician as part of a team in the 数学 临床项目 or by working individually on a Senior 论文.
的 数学 诊所 program extends the academic experience of our majors. An educational innovation of HMC, our 临床项目 brings together teams of students to work on a research problem sponsored by business, industry or government. Teams work closely with a faculty advisor and a liaison provided by the sponsoring organization to solve complex real-world problems using mathematical and computational methods. 诊所 teams present their results in bound final reports to the sponsors and give several formal presentations on the progress of the work during the academic year.
我们的 Senior 论文 program provides students with the opportunity to work independently on a problem of their choosing. Advisors and readers may be chosen from the HMC faculty and the other mathematicians at 的 Claremont Colleges, providing students with a wealth of research opportunities. 和诊所一样, the end product of a thesis is a bound volume as well as presentations made at a professional conference or other venue, during the college-wide Presentations Days and throughout the year.
的 course of study for a mathematics degree has five components: 的 Major Core, Computational 数学, 诊所 or 论文, 数学 Forum and 数学 Colloquium, and the Elective 程序. Each of these components to the major program is described below.
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Through the Major Core requirement, every major will have a foundation course in several important areas: discrete mathematics, 分析, 代数, differential equations and probability. In addition, every major will have a course relating to computational aspects of mathematics. 的 Major Core positions each student to move in any of several directions in the design of their elective program. 的re is a wide range of options to finish the major, supporting a variety of career goals and interests. It is expected that most students will take MATH055 HM – Discrete 数学 and MATH131 HM – Mathematical Analysis I by the end of the sophomore year, MATH157 HM – Intermediate Probability, MATH171 HM – Abstract Algebra I, MATH180 HM – Introduction to Partial Differential Equations, MATH198 HM – Undergraduate 数学 Forum, and MATH199 HM – 数学 Colloquium by the end of the junior year, and MATH193 HM – 数学 诊所 or MATH197 HM – Senior 论文 in 数学 during the senior year.
Two semesters of 诊所 or thesis are required of each major. All students must declare their intentions by the end of their junior year. 学生 who wish to take 诊所 should inform the 数学 诊所 Director, and preregister for MATH193 HM – 数学 诊所. 学生 choosing thesis must arrange to have a thesis advisor by the end of the spring semester of their junior year. In consultation with their advisor, the student must prepare a research proposal describing a suitable thesis problem, and submit the proposal to the mathematics department for approval. We expect that students will begin work on their theses immediately in the fall of the senior year. 论文 students will meet weekly as a group, to discuss their progress, make presentations, and exchange ideas. 学生 enrolled in 诊所 who also wish to do thesis will be able to do a one-semester thesis, 如果需要. 的y may arrange their thesis in the fall of the senior year.
的 faculty in the mathematics department works closely with each student to develop a coherent program of elective courses that meets the student’s professional and academic goals. 的 entire department meets once each term to discuss and compare all student programs and to discuss student progress.