回到数学

主要的需求

The mathematics major is designed around a core of required courses that provides a strong foundation in both computational and theoretical mathematics. 超越这个核心, 选修s from both pure and applied mathematics serve to accommodate students whose aspirations may include double-majoring with any of the College’s other quantitative majors, 从事数学或相关领域的研究生学习, or building a career that requires a strong mathematical background. Yet not all students who major in mathematics necessarily have long-term quantitative interests. 最近主修数学的学生比主修古典文学的学生多一倍, 英语, 语言文化研究, 音乐, 还有戏剧和舞蹈.

学生 whose goals include graduate study in mathematics should supplement the core requirements with as many 300-level 选修s as possible and should consult with their mathematics adviser or with the department chair at the earliest possible date in order to plan a course of study.

学习目标

数学系的学习目标可以找到 在这里.

需求

主修数学, students 必须 complete a total of ten courses of at least one credit each at the 200-level or above. These courses 必须 be selected so as to satisfy the requirements below. Note that students may elect to complete the general mathematics major which provides the student a broad foundation in both pure and applied mathematics, or may choose to complete the major with a concentration in applied mathematics. 这两种情况, students 必须 earn a grade of C- or better in each course that is counted toward these requirements. (就数学205而言，最低成绩要求是C+.)

数学一般专业的要求

  • 微积分的要求
    数学231
  • 线性代数要求
    数学228或数学229. 学生 may take both courses for college credit but only one may be counted towards the ten courses required for the math major.
  • 证明要求简介
    数学205. 学生 必须 earn a grade of C+ or better in either 数学205 or Math 228.
  • 写作强化第二部分要求
    数学307和数学331. 至少一门课程 必须 在博彩平台网址大全拍摄.
  • 选修课
    • 学生 必须 take two 选修 courses at the 200-level or above. 每门课程必须至少有一个学分. At most one course may be chosen from the list of cognate courses below.
    • 学生 必须 take two additional 选修 mathematics courses at the 300-level or above, 不包括数学399或497. No cognate course below will count toward the fulfillment of this requirement.
  • 顶石的要求
    学生必须修一门400级的研讨会课程.

对应用数学专业的要求

  • 微积分的要求
    数学231
  • 线性代数要求
    数学228或数学229. 学生 may take both courses for college credit but only one may be counted towards the ten courses required for the math major.
  • 证明要求简介
    数学205. 学生 必须 earn a grade of C+ or better in either 数学205 or Math 228.
  • 写作强化第二部分要求
    数学309和数学331. 至少一门课程 必须 在博彩平台网址大全拍摄.
  • 微分方程要求
    数学234
  • 选修课
    • 学生 必须 take one 选修 course at the 200-level or above which carries a minimum of one credit. This course may be chosen from the list of cognate courses below.
    • 学生 必须 take two additional 选修 mathematics courses at the 300-level or above, 不包括数学399或497. No cognate course below will count toward the fulfillment of this requirement.
    • 在这三门选修课中:
      • (i)必须是数学316或数学334
      • (ii) another 必须 be chosen from MATH 209, MATH 237,  MATH 316, MATH 334
  • 顶石的要求
    学生必须修一门400级的研讨会课程.

获批准的同类课程一览表

  • 化学309升. 物理化学I
  • 化学310. 物理化学II
  • 化学316升. 物理生物化学
  • 消费品安全委员会320年. 算法分析
  • 经济312. 数理经济学
  • 同上212升. 线性电路理论
  • 工程师225. 力学我
  • 同上301升. 信号处理与应用
  • 同上303升. 模拟和数字通信
  • 工程师312. 自动控制系统
  • 工程师337. 热力学
  • 同上346升. 计算神经科学
  • 同上362升. 流体动力学
  • phy 232升. 物理学III:光学与现代物理学
  • 300年的今天. 物理学的数学方法
  • 301年的今天. 经典力学
  • 302年的今天. 电动力学
  • 304年的今天. 统计与热物理
  • 313年的今天. 量子力学
  • 心理学221升. 研究设计与分析

并不是所有的数学课程每年都开设. 帮助学生计划他们的课程表, the following describes the frequency with which each course at the 200-level and above has recently been offered. 这些可能会根据学生的需求而改变.

  • 每学期开设的课程: 数学205、228、229、231、234、400
  • 每年开设的课程: 数学307、309、331
  • 每隔一年开设的课程: MATH 209, 214, 237, 253, 305, 306, 308, 316, 318, 326, 332, 334, 341

要查看数学专业的要求摘要表， 点击这里.

Although a student may begin the mathematics major as late as the fall semester of the sophomore year, the department recommends that prospective majors who have no prior calculus credit adopt the following typical schedule:

一年 秋天 春天
第一个 131 132
二年级学生 231, 205 228或229，选修课
初级 307或309，选修课 331年,选修
高级 选修 400级研讨课程

额外的机会

研究了当前位置学数学的学生有很多学习的机会, 但所有这些都需要一定程度的早期计划. 学生们 强烈建议 to discuss their plans with their advisers or the department chair as soon as possible since many courses in the mathematics department are not offered every year. Well-prepared students should consider the Budapest semester in mathematics; more information on this program can be found on the study-away website.

Many study away programs in 英语-speaking countries offer a wide range of mathematics courses that will count toward the major. 具体建议请咨询系主任. 学生 who feel they are sufficiently proficient in a language to take mathematics courses in a foreign language should discuss this with their advisers. 学生 who take mathematics courses while away should be aware that universities that follow the European model cover the material in a somewhat different order than is done in the United States and that classes are primarily lectures with far less feedback from the instructor than is typical at Trinity.

荣誉:数学荣誉, granted by departmental vote in the spring of the honors candidate’s senior year, 是由:

  • receiving a grade of at least a B- in all mathematics courses taken at the 200-level and above,
  • receiving a grade of A- or better in at least four 300-level courses excluding MATH 399 and 497, and
  • writing and presenting a suitable thesis on an area of mathematics that the student finds particularly interesting.

The student 必须 apply to the department chair for honors candidacy in the second semester of the junior year. 在接受, 候选人, 和系主任一起, will select an honors adviser who will supervise the honors thesis. The student will then 提交 a thesis proposal by the last day of classes for the spring semester of the junior year.

The honors thesis need not be one of newfound mathematical results, 但它有望成为历史的平衡, 传记, 以及这个话题的数学方面. The project will culminate with the submission of the final draft to the honors adviser no later than one week before the last day of classes of the spring semester. A formal presentation will be given by 候选人 no later than one day prior to the earlier of (1) the deadline for verification of honors, (二)高年级成绩提交截止日期. Guidelines for the completion of the honors thesis may be obtained from the department chair.