数学
数学系提供以下课程:(1)哲学博士学位.D.) 学位 in mathematics; to (2) the Master of Science in 教学 (M.S.T.)教育学位,与林奇教育与人类发展学院合作.
Ph.D. 学位要求
Ph值的要求.D. 分为五类:课程作业, 考试(初步, 语言, 和全面的), 教学, 一篇论文, 并且需要连续两个学期的全职实习.
课程学生必须在电子游戏正规平台生阶段完成至少50个学分, 包括第一年的核心课程, 并在其中至少44门课上获得B-或更高的分数. 第一年的课程包括代数(MATH8806)的核心课程, MATH8807), 几何/拓扑(MATH8808, MATH8809), 真实分析(MATH8810), 复杂分析(MATH8811), 电子游戏正规平台生教学研讨会(MATH8890), 和电子游戏正规平台生电子游戏正规平台研讨会(MATH8892). 第二年是选修课. 学生 with prior comparable coursework may be exempted from one or more of the first-year graduate courses, 经电子游戏正规平台生课程助理主席批准. Up to 18 credit hours of the coursework requirement may be waived for students with prior graduate work, 经电子游戏正规平台生课程助理主席批准.
考试有两种类型的考试:初级和综合.
初步: All students must take preliminary exams in two of the three following subjects: Real and Complex Analysis; 代数; Geometry and Topology. These exams cover the material in the core first-year courses and are taken at the end of May following the first year. They may also be taken in the fall by advanced entering first year students or by second year students who have not already passed all their preliminary exams. 初试成绩如下.D. 通过,米.A. 通过或失败. 强烈鼓励学生在博士阶段完成两个初步考试.D. 在第二年开始时通过考试. The following two rules apply: (1) students may retake each preliminary exam once; (2) students must pass two preliminary examinations at the Ph.D. pass 水平 by the end of their second year in order to continue in the program after their second year. 这两条规则的例外情况需经主席批准, 谁将向电子游戏正规平台生项目助理主席咨询, 和学生的导师在做出决定之前. Exceptions will be granted when there is clear evidence of potential to complete a 学位 in a timely way or for special circumstances such as extended illness. A student with advanced preparation may choose to take one or more of the preliminary examinations upon entering 电子游戏软件. 在这种情况下, the examination would not count as one of 学生’s two attempts and failure of the examination would have no negative consequences. 学生 who wish to take an examination upon entrance should notify the Assistant Chair for 电子游戏正规平台生课程 in writing by mid-July that they intend to do so.
博士全面在通过了博士初步考试之后.D. 水平, 学生 requests that a department faculty member (tenured or tenure-track) serves as his/her research advisor. 经教员同意后, 学生, 在咨询了电子游戏正规平台顾问之后, 组成综合考试委员会, 由电子游戏正规平台顾问和至少两名其他成员组成. Two members must be from 电子游戏软件; the chair must be a tenured or tenure-track member of the departmental faculty. 委员会的组成须经部门批准. The comprehensive exam can be taken any time after the Comprehensive Examination Committee has been chosen. 我们建议尽快采取,以便有时间进行论文电子游戏正规平台. 博士综合考试由一个电子游戏正规平台课题和一个二级课题组成, 由学生与学生委员会协商后选择. 通常, these are based on topics courses or independent study completed by 学生 in the second and third years. 综合考试包括笔试和口试两部分. In the written part 学生 is given a week to solve problems or answer questions in the chosen areas. 然后委员会阅读学生的作业,并在口试中向学生提问, 哪些可能涉及相关领域. 口试后, 委员会将整个综合考试评为优异及格, 通过, 或失败. 综合考试不及格的学生可以再考一次, 但不能早于下个学期.
教学除了他们作为助教和助教的职责之外, students participate in the required Graduate 教学 Seminar in the fall semester of their first two years. 第一年的教学研讨会是为助教准备的, covering their responsibilities both to their students and their supervisors and providing guidance on leading a classroom for the first time. 第二年的教学研讨会是为助教准备的, 为自己的班级教学提供指导.
论文:在语言和博士综合考试中取得满意成绩, 该学生有资格被录取为博士候选人.D. 被录取, 学生 formally constitutes a 论文 Committee which is then approved by the Assistant Chair for 电子游戏正规平台生课程. The Comprehensive Examination Committee will typically become 学生’s 论文 Committee; any changes of membership require the department’s approval. 在这一点上,学生开始电子游戏正规平台博士论文. 论文必须包含原创的学术成果. The 论文 Committee will read and evaluate the completed dissertation and conduct an oral examination, 在公开会议上为论文辩护. The dissertation is accepted when endorsed on the official title page by the 论文 Committee after the oral examination. After ensuring that the format of the accepted dissertation conforms to 电子游戏软件 requirements, 学生向学校提交论文.
Qualified students accepted to the program are offered financial aid stipends and tuition remission. 预计将为五年的学习提供支助, given reasonable progress toward the 学位 and acceptable performance of 教学 Assistant/Fellow duties.
更多关于Ph值的信息.D. 课程可以在电子游戏正规平台生课程菜单选项中找到 femdomcenter.com/math.
文学硕士学位
攻读博士学位的学生.D. 获得至少M.A. pass in two of the three preliminary exams and pass at least 30 credits of mathematics graduate courses, including at least five semesters of the first-year graduate courses in Real and Complex Analysis, 代数, 和几何/拓扑, 会收到一个M.A. 学位. 高级本科课程可以计入30个学分,以满足M.A. 要求与电子游戏正规平台生课程助理主席的许可. 学生 who skip a first-year course because of advanced preparation may substitute more advanced courses in any area, 在电子游戏正规平台生项目助理主席的许可下. 学生可能会得到M.A. 然后继续攻读博士学位.D. 前提是学生达到了博士学位.D. 以上需求.
教育学硕士学位
教育学硕士(M.S.T.) program is administered through the 林奇教育与人类发展学院 in cooperation with the Department of 数学. 该计划的申请是向林奇学院提出的, 学生必须被林奇学院录取并得到数学系的批准.
这个课程是为有经验的教师或未来的教师设计的. 这是一个为期两年的项目,包括46个学分, 其中31个是教育学专业,15个是数学专业. All master’s programs leading to certification in secondary education include practical experiences in addition to coursework. 学生 seeking certification in Massachusetts are required to pass the Massachusetts Educators Certification Test. Degree candidates draw up an overall plan of study with joint advisement from the Assistant Chair for 电子游戏正规平台生课程 in 数学 and the advisor for the M.S.T. 林奇学院的课程. 欲知更多有关M.S.T., refer to the Master’s Programs in Secondary 教学 in the 林奇学校 section of the 大学目录 or call the Office of Graduate 电子游戏软件s, 林奇学校, at 617-552-4214.
数学部分的15个学分中.S.T., 考生必须完成MATH8810-8811实与复分析, 哪些课程应该在第一年完成. 其他学分必须在4000级或以上的数学课程中获得. 因为认证要求, 除非之前已经修过相应的课程, 这些必修课程应包括以下内容:
- MATH4451欧几里得和非欧几里得几何
- 概率与数理统计
Some exposure to the use of computers in mathematics that may be accomplished by any 计算机科学 major course beyond 计算机科学 I.
Other courses particularly well-suited for this program are MATH4430 Number Theory and MATH4475 历史 of 数学. M.S.T. candidates must also pass an oral comprehensive examination and submit a brief expository paper in some area of mathematics.