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20240812
原文:https://math.mit.edu/academics/undergrad/roadmaps.php
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This document outlines “roadmaps” of course options for undergraduates interested in particular fields and applications of mathematics.
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Each roadmap consists of three stages:
- Introductory courses with few prerequisites, accessible to a typical sophomore.
- More advanced classes for students who have mastered several stage-1 classes.
- The most advanced classes, often beginning graduate-level subjects, for students who have mastered many stage-1 and stage-2 classes.
- Many math majors will never take a stage-3 course, and that’s okay!
- The stages also reflect priorities
- for example, students interested in pursuing analysis probably want to take 18.100 as early as possible, whereas a student pursuing mathematical finance might take it later to deepen their understanding.
- In each specialized field or application of mathematics below, we list courses that could be relevant for a career in that field—not just courses narrowly in that specialization, but also useful courses in broadly related areas.
- On the other hand, these specific courses are not requirements to pursue that field.
- Note that a math degree requires 18.06/18.C06/18.700/701 (or approved substitutions thereof), but these are not necessarily listed in every roadmap below, nor do we list GIRs like 18.02.
原文:https://math.mit.edu/academics/undergrad/index.html
- Mathematics provides a language and tools for understanding the physical world around us and the abstract world within us.
- MIT’s Mathematics Department is one of the strongest in the world, representing a broad spectrum of fields ranging from the traditional areas of pure mathematics such as analysis, algebra, geometry, and topology, to applied mathematics areas such as combinatorics, computational biology, fluid dynamics, theoretical computer science, and mathematics of data.
- The Department of Mathematics offers a Bachelor of Science in Mathematics in the following concentrations: applied mathematics, pure mathematics, general mathematics.
- Additionally, the Mathematics with Computer Science degree is offered to students wishing to pursue their interests in mathematics and theoretical computer science within a single undergraduate program.
- Nearly one-half of the graduating seniors in mathematics are double majors. Popular second majors for these students include computer science, physics, and economics.
- Our students go on to a wide range of activities after graduation.
- Some go on to graduate school in mathematics, physics, computer science, finance, or engineering. Many begin careers in investment banking, consulting, software engineering, and other domains.