## Requirements for the Major and Minor in Mathematics (MAT)

Requirements for the Major in Mathematics (MAT)

The major in Mathematics leads to the Bachelor of Science degree. Every student majoring in Mathematics is expected to complete some form of a one-variable calculus sequence, which is a prerequisite for some of the courses listed below. Appropriate sequences at Stony Brook total 8 to 12 credits.

Completion of the major requires 33 to 37 credits.

A. Mathematics and Mathematics-Related Courses

1. a. One course in multivariate calculus: MAT 203 or AMS 261 or MAT 205 and one course in linear algebra: MAT 211 or AMS 210

or

b. MAT 307

2. Preparation in the language and logic of mathematics: this requirement can be met by either passing MAT 200 or by passing the MAT 200 challenge examination. (Note: the writing intensive course MAT 200 is a requirement for students in the Secondary Teacher Education Program.)

3. One course in differential equations: MAT 303 or AMS 361 or MAT 305 or MAT 308

4. One course in computer literacy: MAT 331 or PHY 277 or CSE 114 or (for students graduating with the Secondary Teacher Education option) MAE 330.

Note: MAT 331 and MAE 330 may be used both here and in Requirement 7.

5. Two courses in algebra: MAT 310 and MAT 312 or MAT 313

6. Analysis:

Students must satisfy either a or b:

a. Three courses in analysis:

MAT 319 or MAT 320 and

two of the following:

MAT 322, MAT 324, MAT 341, MAT 342

b. For students graduating with the Secondary Teacher Education option: MAT 319 or MAT 320

7. Four mathematics-related courses beyond those taken to satisfy Requirements 5 and 6 (three will suffice if all of them are MAT courses), to be chosen from the following:

MAE 301

MAT courses numbered 310 or above except MAT 475

AMS courses numbered 301 or above except AMS 361 and AMS 475

CSE courses numbered 301 or above except CSE 475

A list of acceptable upper-division courses in chemistry, economics, philosophy, and physics is available in the Undergraduate Mathematics Office. Students in the Secondary Teacher Education Program must fulfill a modified version of this requirement, consisting of AMS 310, MAT 336, MAT 360, and MAE courses.

B. Upper-Division Writing Requirement

To satisfy the Departmental writing requirement, each student majoring in Mathematics, including double majors, must submit an acceptable portfolio of three pieces of writing from upper-division MAT or MAE coursework. Students should aim for completion of the portfolio early in their next-to-last semester to allow time to resolve any difficulties. Late completion may delay graduation. Each portfolio must be submitted no later than the beginning of the final semester, and each piece in it must have been approved by a Departmental faculty member as being mathematically correct and well written.

Notes:

1. Under special circumstances a student may request the director of undergraduate studies to allow substitution of an equivalent individual program for some or all of these requirements.

2. All courses used to fulfill the requirements for the major must be taken for a letter grade and must be completed with a grade of C or higher.

3. Students whose scores on the College Entrance Examination Board (CEEB) Advanced Placement Examination are documented earn credits as follows:

- 4 or 5 on BC examination: credit for MAT 131, MAT 132 (8 credits);
- 4 or 5 on AB examination: credit for MAT 131 (4 credits);
- 3 on either examination: 3 credits applicable to graduation but not the major.

5. Six credits of graduate MAT courses may be used in place of undergraduate courses in Requirement A7.

Honors Program in Mathematics

The honors program is open to junior and senior Mathematics majors who have completed at least two upper-division MAT courses with grades of B or higher and who have maintained a 3.00 overall grade point average. A prospective honors major must declare to the director of undergraduate studies an intention to participate in the program before registering for the senior year.

The program consists of a set of seven MAT courses, at least three of which are not used to fulfill the MAT major requirements. These courses must include: MAT 322 or MAT 324; MAT 401 or MAT 402; a course in algebra other than MAT 310 or MAT 318; and MAT 495. Substitution of appropriate graduate courses is permitted, and other substitutions are possible at the discretion of the undergraduate director. Conferral of honors is contingent upon:

1. Completion of the set of seven courses with a grade point average of at least 3.50;

2. Approval for honors by the faculty member or members who supervise MAT 495.

Mathematics Secondary Teacher Education Program

See the Education and Teacher Certification entry in the alphabetical listings of Approved Majors, Minors, and Programs.

Requirements for the Minor in Mathematics (MAT)

The minor in Mathematics is available for those students who want their formal university records to emphasize a serious amount of upper-division work in mathematics. Although a one-variable calculus sequence is not a requirement, it is a prerequisite for some of the courses listed below. The requirements listed below do not include single variable calculus or MAT 200 Logic, Language, and Proof; these are prerequisites for some of the courses listed below.

1. MAT 211 or AMS 210

2. MAT 203 or AMS 261 or MAT 205

3. MAT 310 or MAT 312 or MAT 313 or MAT 318

4. MAT 319 or MAT 320 or MAT 341 or MAT 342

5. Three additional MAT courses numbered 300 or higher (excluding 475)

All courses used to fulfill the requirements for the minor must be passed with a letter grade of C or higher.

Beginning Mathematics Courses

The Mathematics curriculum begins with a choice of calculus sequences, some including preparatory material from 12th-year mathematics in high school and some not. The three first-term calculus courses that assume knowledge of 12th-year mathematics are MAT 125, MAT 131, MAT 141 and AMS 151. A student may start any of these with the same background.

The three-semester sequence of one-variable calculus, MAT 125, MAT 126, MAT 127, is academically equivalent to the two-semester sequence MAT 131, MAT 132. Engineering students normally take the faster-paced MAT 131, MAT 132, or AMS 151, AMS 161 rather than MAT 125, MAT 126, MAT 127 because of the many requirements they must meet. MAT 141, MAT 142 is an enriched version of MAT 131, MAT 132. MAT 171 is a version of MAT 142 for students who have not taken MAT 141; offered only in the fall semester.

MAT 122 and MAT 123 combine precalculus and calculus for students who have not had a precalculus course in high school. A student who completes MAT 122 will have learned some precalculus material and will have a good idea of what calculus is and how it is used. MAT 123 is designed to lead into MAT 125 or MAT 131. Although MAT 122 is not designed as preparation for further calculus courses, students may follow that course with MAT 125 or MAT 131 if they take the one-credit course MAT 130 in the same semester as MAT 125 or MAT 131.

MAT 118 is a non-calculus course that surveys various topics in mathematics that do not require a background in precalculus or calculus; it is designed for students who do not intend to take further courses in mathematics.

For students whose high school preparation is insufficient to begin the MAT curriculum, or to enroll in another course applicable to the D.E.C. category C requirement, Mathematical and Statistical Reasoning, there are two review courses numbered MAP 101 and MAP 103. These courses do not carry graduation credit. MAP 103, a skills course, is for students who need further work in high school algebra and related topics before continuing with calculus or other mathematics. Some students, upon completing MAP 103, are able to pass the Mathematics Placement Examination at a level that allows them to go directly into MAT 125 or MAT 131.

Placement

The Department of Mathematics offers a placement examination which indicates the level of mathematical preparation of each student. The score on the examination is used to place the student in appropriate courses in mathematics, applied mathematics and statistics, biology, chemistry, and physics. It tests the student's skills at the time the test is taken; students are advised to study beforehand. There is a preliminary version of the examination given prior to orientation; all incoming students, including transfers, should take the preliminary placement examination. This exam is used only for registration purposes and cannot be used to fulfill graduation requirements. The preliminary score becomes invalid after two semesters.

A student wishing to use the placement examination to fulfill D.E.C. Category C or other graduation-related requirements or Skill 1, or if they have been or wish to be accepted into a major in the College of Engineering and Applied Sciences, must take a proctored version of the examination. This examination is given several times during the academic year, and by appointment with the Mathematics Department.

The placement exam consists of several parts; not all students will take all parts of the exam. Part I covers high school algebra, Part II deals with 12th year high school Mathematics (precalculus), and Part III covers single-variable calculus. The outcome of the test is one of nine levels:

**Outcome Placement**

Level 2 MAP 103

Level 2+ MAT 118 and Skill 1 or statistics

Level 3 MAT 118, MAT 123 or statistics

Level 4 MAT 125

Level 5 MAT 131 or MAT 141 or AMS 151

Level 6 MAT 126

Level 7 MAT 132 or MAT 142 or MAT 171 or AMS 161

Level 8 MAT 127 or MAT 132 or MAT 171 or MAT 142 or AMS 161

Level 9 Beyond 100-level calculus

Levels 1-3 can be achieved by a sufficiently high score on Part I, and levels 4-5 can be achieved by a sufficiently high score on Part II, and attaining levels 6-9 requires sufficiently high scores on Parts II and III. The entry skill in mathematics requirement may be satisfied by attaining a score of level 3 or higher on the proctored exam. The general education requirement for Mathematics (D.E.C. category C) may be satisfied by attaining a score of level 6 or higher on the proctored exam. Certain majors will also accept a sufficiently high score on the proctored exam in lieu of required math courses. A student who achieves a particular level is free to begin with a mathematics course corresponding to a lower level, so long as taking the course does not mean that credit is given for the same material twice.

Transfer Credit

When they enter, transfer students automatically receive credit toward graduation at Stony Brook for any courses they have already successfully completed at accredited institutions of higher education and that count toward graduation at that institution. The number of credits transferred appears on the Stony Brook transcript with no courses or grades indicated, and the number of transferred credits is unaffected by the student's score on the Mathematics Placement Examination. In some cases, a course designator ending in PQ (such as MAT 131PQ) may be placed on the student's transcript. In addition, transferred mathematics courses are automatically evaluated for applicability to the entry skill in mathematics requirement and the D.E.C. category C requirement; this evaluation does not depend on the result of the placement examination.