Majors and Minors in Math
Options for Mathematics Majors
数学系提供两个本科学位课程,可以获得文学学士学位和理学学士学位.
数学文学学士课程旨在为学生在数学和数学应用的主要领域提供坚实的基础, in preparation for a wide variety of careers or post-undergraduate programs.
数学理学士课程旨在为学生提供进一步的理论数学经验, and is strongly recommended for students considering graduate study in mathematics.
如有任何关于数学专业的问题,请直接向本科课程助理主席咨询.
数学文学学士课程旨在为数学和数学应用的主要领域提供坚实的基础, in preparation for a wide variety of careers or post-undergraduate programs. Students prepare for work in quantitative fields including actuarial science, finance, and data science, or further study in fields such as statistics or computational biology. 完成数学学士学位的学生还可以从事教育、法律和医学方面的职业.
In recent years, about 65% of math majors pursued the BA track.
The BA Mathematics major requires completion of at least 33 credits, 这取决于学生在进入电子游戏软件之前在微积分方面的准备.
Preparation (if necessary) | MATH 1102 Calculus I (Math and Science Majors), or its equivalent (e.g., four or higher on the Calculus AP exam) MATH 1103 Calculus II (Math and Science Majors), or MATH 1105 Calculus II-AP (Math and Science Majors), or an equivalent (e.g., five on the Calculus BC AP exam). |
Required Courses | MATH 2202 Multivariable Calculus or MATH 2203 Multivariable Calculus (Honors) MATH 2210 Linear Algebra or MATH 2211 Linear Algebra (Honors) MATH 2216 Introduction to Abstract Mathematics MATH 3310 Introduction to Abstract Algebra MATH 3320 Introduction to Analysis |
Required Course Substitution Notes | With the approval of the Assistant Chair for Undergraduate Programs, advanced students may omit required courses, substituting three credits in MATH courses numbered 4400 or higher for each. |
Required Elective Courses | Eighteen (18) elective credits in MATH courses numbered 3312, 3322, or 4400 and above. |
GPA Requirement | A grade point average of at least 1.67 must be achieved in the MATH courses which make up your major. |
Planning
Most B.A. candidates will begin their program with a Calculus course. 你越早完成所要求的微积分课程,你的日程安排就会变得越容易.
Programs for Those Beginning With Calculus for Math and Science
这些是我们在专业中看到的通常的时间表,从大一第一学期开始,我们就开始学习为数理专业设计的微积分课程:
About 20% begin by taking MATH 1102 Calculus I in their first semester. Many of these students have had little or no Calculus before entering BC, 而有些人已经学了一个学期或更长时间的微积分,但还没有准备好马上进入微积分II. 这些学生中的一些人实际上可能开始学习数学以外的专业(通常的猜测是:化学), Computer Science B.S. Program, Geology-Geophysics, Geophysics, and Physics).
For these students, the major requirements can be satisfied as follows:
Class | Fall | Spring |
---|---|---|
Freshman | MATH 1102 | MATH 1103 |
Sophomore | MATH 2202/3 | MATH 2210/1 MATH 2216 |
Junior | MATH 3320 or MATH 3310 MATH elective | MATH 3310 or MATH 3320 MATH elective |
Senior | MATH elective MATH elective | MATH elective MATH elective |
About 45% begin with MATH 1105 Calculus II-AP in their first semester. 如果你准备在大一的秋天马上进入数学1105 (e.g., you got at least a four on the Calculus AB Advanced Placement Exam), then your major requirements can easily be satisfied as follows:
Class | Fall | Spring |
---|---|---|
Freshman | MATH 1105 | MATH 2202 |
Sophomore | MATH 2210 | MATH 2216 |
Junior | MATH 3320 or MATH 3310 MATH elective | MATH 3310 or MATH 3320 MATH elective |
Senior | MATH elective MATH elective | MATH elective MATH elective |
Almost 35% begin with MT 2202 in their first semester. If you are prepared to enter MT 2202 in the Fall of your freshman year (e.g.如果你在微积分BC大学先修课程考试中得了5分),那么你的要求就会降低到:
Class | Fall | Spring |
---|---|---|
Freshman | MATH 2202/3 | MATH 2210/1 |
Sophomore | MATH 2216 | MATH 3320 or MATH 3310 |
Junior | MATH 3310 or MATH 3320 MATH elective | MATH elective MATH elective |
Senior | MATH elective MATH elective | MATH elective MATH elective |
All of the proposed schedules above are conservative. None requires more than two courses in any semester, none proposes any acceleration during the first two years, and none proposes completing more than a minimal program. But some students will be eager to learn more mathematics sooner; some may plan on taking an extra mathematics elective or two while at BC; and some may have specific preferences for courses which match career goals. Please see the closing sections of this page for comments about these situations.
What If You Don't Start with a Math and Science Calculus Course?
About 15% of our eventual B.A. 考生在第一学期没有参加数学和科学专业必修的微积分课程. 这些学生中的许多人可能选择了需要他们学习其他微积分课程的专业. One example would include:
在第一学期完成数学1100或数学1101之一的学生(例如:生物专业)可以在第二学期转入数学1103专业并完成数学专业。
Class | Fall | Spring |
---|---|---|
Freshman | MATH 1103 | |
Sophomore | MATH 2202/3 | MATH 2210/1 or MATH 2216 |
Junior | MATH 3310 or MATH 3320 MATH elective | MATH 3310 or MATH 3320 MATH elective |
Senior | MATH elective MATH elective | MATH elective MATH elective |
Almost every student who joins the B.A. 第一学期后的课程将需要一个个性化的建议来安排他或她的学习计划, 并应尽快向本科生数学助理教授咨询.
Variations in Scheduling
以上提出的时间表将不得不对一些学生进行修改,这是有原因的. The typical variations we see, together with proposed modifications, include these:
Junior Year Abroad (worst case, 假设你在国外时没有上任何数学课程——尽管我们大多数出国的专业学生在离开BC时至少上了一门数学课程):
Class | Fall | Spring |
---|---|---|
Freshman | MATH 1105 | MATH 2202 |
Sophomore | MATH 2210 MATH 2216 | MATH 3310 or MATH 3320 MATH elective |
Junior | Semester Abroad | MATH 3310 or MATH 3320 MATH elective |
Senior | MATH elective MATH elective | MATH elective MATH elective |
LSOE Student (LSOE students are required to student-teach for one semester, usually in the Fall semester of senior year):
Class | Fall | Spring |
---|---|---|
Freshman | MATH 1105 | MATH 2202/3 |
Sophomore | MATH 2210/1 | MATH 2216 MATH elective |
Junior | MATH 3310 or MATH 3320 MATH elective MATH elective | MATH 3310 or MATH 3320 MATH elective |
Senior | Student Teaching | MATH elective MATH elective |
Late Change to Mathematics (worst case: a student who took MATH 1100-MATH 1101 in first year):
Class | Fall | Spring |
---|---|---|
Freshman | ||
Sophomore | MATH 1105 or MATH 2202/3 or MATH 2210/1 | MATH 2210/1 or MATH 2202/3 MATH 2216 |
Junior | MATH 3310 or MATH 3320 MATH elective | MATH 3310 or MATH 3320 MATH elective |
Senior | MATH elective MATH elective | MATH elective MATH elective |
Nevertheless, no matter what variations might affect your situation, 我们强烈建议您在制定专业课程安排时遵循以下基本建议:
- Complete MATH 2202/3 as early as you can;
- 不迟于大二第一学期完成MATH 2210/1或MATH 2216中的至少一门, 并且在大二结束之前完成这两门课程(MATH 2210/1通常在MATH 2216之前完成), but there may be situations in which this need not be the case);
- Complete at least one of MATH 3310 or MATH 3320 in first semester of junior year; and complete both no later than the end of junior year (these courses are independent and can be taken in either order);
- Complete at least one elective course no later than first semester of junior year; and at least two elective courses no later than the end of junior year.
For More Information and Advice
Feel free to contact any of the following:
Rennie Mirollo
Department Chairperson
Professor
renato.mirollo@shark10.com
617-552-3762
Maloney Hall 544
Juliana Belding
Assistant Chair for Undergraduates
Professor of the Practice
juliana.belding@shark10.com
617-552-1201
Maloney Hall 516
Martin Bridgeman
Assistant Chair for Graduates
Professor
martin.bridgeman@shark10.com
617-552-3770
Maloney Hall 547
数学理学士课程旨在为学生提供进一步的理论数学经验, and is strongly recommended for students considering graduate study in mathematics. BS专业的核心课程包括两年的代数和分析课程. Students must also take Complex Variables, 四门额外的高级选修数学课程和四门自然和物理科学课程, computer science or economics which include a substantial mathematics component.
In recent years, about 35% of math majors pursued the BS track.
The BS Mathematics major requires completion of at least 36 credits, 这取决于学生在进入电子游戏软件之前在微积分方面的准备.
Preparation (if necessary) | MATH 1102 Calculus I (Math and Science Majors), or its equivalent (e.g., four or higher on the Calculus AP exam) MATH 1103 Calculus II (Math and Science Majors), or MATH 1105 Calculus II-AP (Math and Science Majors), or an equivalent (e.g., five on the Calculus BC AP exam). |
Required Courses | MATH 2202 Multivariable Calculus or MATH 2203 Multivariable Calculus (Honors) MATH 2210 Linear Algebra or MATH 2211 Linear Algebra (Honors) MATH 2216 Introduction to Abstract Mathematics MATH 3311-3312 Algebra I,II MATH 3321-3322 Analysis I,II MATH 4460 Complex Variables |
Required Course Substitution Notes | With the approval of the Assistant Chair for Undergraduate Programs, advanced students may omit required courses, substituting three credits in MATH courses numbered 4000 or higher for each. |
Required Elective Courses | Twelve (12) elective credits in MATH courses numbered 4000 and above. |
Science Courses | Twelve (12) credits in natural science, computer science, or economics, science courses (see science courses tab). |
GPA Requirement | A grade point average of at least 1.67 must be achieved in the MATH courses which make up your major. |
Planning
Most B.S. candidates will begin their program with a calculus course. 你越早完成所要求的微积分课程,你的日程安排就会变得越容易.
Typical B.S. Programs
如果你从微积分I开始学习,可以满足以下要求:
Class | Fall | Spring |
---|---|---|
Freshman | MATH 1102 | MATH 1103 |
Sophomore | MATH 2202/3 | MATH 2210/1 MATH 2216 |
Junior | MATH 3311 MATH 3321 | MATH 3312 MATH 3322 |
Senior | MATH elective MATH elective MATH elective | MATH elective MATH elective |
如果你从微积分II开始学习,可以满足以下要求:
Class | Fall | Spring |
---|---|---|
Freshman | MATH 1105 | MATH 2202 |
Sophomore | MATH 2210/1 | MATH 2216 MATH elective |
Junior | MATH 3311 MATH 3321 | MATH 3312 MATH 3322 |
Senior | MATH elective MATH elective | MATH elective MATH elective |
If you are prepared to enter MATH 2202 in the Fall of your freshman year (e.g.如果你在微积分BC大学先修课程考试中得了5分),那么你的要求就会降低到:
Class | Fall | Spring |
---|---|---|
Freshman | MATH 2202/3 | MATH 2210/1 MATH 2216 |
Sophomore | MATH 3311 / MATH 3321 | MATH 3312 / MATH 3322 |
Junior | MATH 3311 / MATH 3321 Math elective | MATH 3312 / MATH 3322 MATH elective |
Senior | MATH elective MATH elective | MATH elective |
All of the proposed schedules above are conservative. None requires more than two courses in any semester, none proposes any acceleration during the first two years, and none proposes completing more than a minimal program. But some students will be eager to learn more mathematics sooner; many will be anxious to accelerate to prepare for graduate school. These students should see the Assistant Chair for Undergraduates.
Below is a list of courses in natural science, computer science, and economics that will satisfy the requirements for the B.S. in Mathematics. The Department is also open to other courses with significant mathematical content. 学生可以向本科课程助理教授咨询其他可能性.
Biology
- BIOL 2000 Molecules and Cells
- BIOL 2010 Ecology and Evolution
- BIOL 3040 Cell Biology
- BIOL 3190 Genetics & Genomics
- BIOL 4200 Introduction to Bioinformatics
Chemistry
- CHEM 1109 (1117) -1110 (1118) General (Honors Modern) Chemistry I, II
- CHEM 3351 Analytical Chemistry
- CHEM 4475-4476 Physical Chemistry I, II
Computer Science
- CSCI 1101-1102 Computer Science I,II
- Any upper division course for majors in Computer Science.
Economics
- ECON 2228 Econometric Methods
- ECON 2229 Forecasting Techniques
- ECON 3308 Game Theory in Economics
- ECON 3311 Mathematics for Economists
Earth and Environmental Sciences
- EESC 3391 Introduction to Geophysics
- EESC 4424 Environmental Geophysics
- EESC 4455 Exploration of Seismology
Physics
- PHYS 2100 (2200) - 2101 (2201) Introduction to Physics (Calculus) I, II
- Recommended. Any upper division course for majors in Physics.
If you have a question about getting started in the B.S. 计划或过渡到它请咨询本科生助理主席.
For More Information and Advice
Feel free to contact any of the following:
Rennie Mirollo
Department Chairperson
Professor
renato.mirollo@shark10.com
617-552-3762
Maloney Hall 544
Juliana Belding
Assistant Chair for Undergraduates
Professor of the Practice
juliana.belding@shark10.com
617-552-1201
Maloney Hall 516
Martin Bridgeman
Assistant Chair for Graduates
Professor
martin.bridgeman@shark10.com
617-552-3770
Maloney Hall 547
Students who complete the following will be awarded the Minor in Mathematics.
Required Courses | MATH 2202 or MATH 2203 Multivariable Calculus MATH 2210 or MATH 2211 Linear Algebra |
Required Course Substitution Notes | 经助理系主任同意,本科生可省略必修课程, 从下列认可课程中选择一门选修课代替每门课程. AP credit cannot be used to satisfy requirements for the minor. |
Twelve Elective Credits | Twelve elective credits, chosen from among the following:
|
Recommended Electives for Minors
Certain courses in Mathematics are particularly well-suited for students in other, mathematics-related majors.
Biology and Chemistry
- MATH 4410 Differential Equations
- MATH 4426 Mathematical Probability
- MATH 4427 Mathematical Statistics
- MATH 4470 Mathematical Modeling
Computer Science
- MATH 4426 Probability
- MATH 4445 Combinatorics
- MATH 4414 Numerical Analysis
- MATH 4427 Mathematical Statistics
- MATH 4430 Number Theory
- MATH 4435 Mathematical Programming
- MATH 4470 Mathematical Modeling
Economics and Management
- MATH 4410 Differential Equations
- MATH 4414 Numerical Analysis
- MATH 4426 Mathematical Probability
- MATH 4427 Mathematical Statistics
- MATH 4435 Mathematical Programming
- MATH 4470 Mathematical Modeling
Physics
- MATH 4410 Differential Equations
- MATH 4414 Numerical Analysis
- MATH 4426 Mathematical Probability
- MATH 4427 Mathematical Statistics
- MATH 4440 Dynamical Systems
- MATH 4451 Euclidean and Non-Euclidean Geometry
- MATH 4460 Complex Variables
- MATH 4470 Mathematical Modeling
Rennie Mirollo
Department Chairperson
Professor
renato.mirollo@shark10.com
617-552-3762
Maloney Hall 544
Juliana Belding
Assistant Chair for Undergraduates
Associate Professor of the Practice
juliana.belding@shark10.com
617-552-1201
Maloney Hall 516
Martin Bridgeman
Assistant Chair for Graduates
Professor
martin.bridgeman@shark10.com
617-552-3770
Maloney Hall 547
文理学士或理学士考生如符合以下要求,将获颁数学系荣誉学位:
- Completion of the mathematics requirements for the B.S. degree.
That is, all honors students must take twelve courses in mathematics, including MATH 3311, MATH 3312, MATH 3321, MATH 3322, MATH 4460.
- A grade point average of at least 3.3 in all math courses numbered 3300 and above.
- Completion, as one of the required electives, 在一名教师的指导下,完成一门荣誉论文课程MATH 4498或独立学习课程MATH 4499.
-or- - Completion, as one of the required electives, of a graduate course at the 8800 level.