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New Brunswick Undergraduate Catalog 2017-2019 Programs of Study and Courses for Liberal Arts and Sciences Students Programs, Faculty, and Courses Mathematics 640 Major Requirements  

Major Requirements


The Department of Mathematics annually publishes a Brochure for Math Majors, which contains detailed information about the math major program; copies of this brochure may be obtained on the web at http://www.math.rutgers.edu/academics/undergraduate/majors.

The requirements for a math major are as follows:

1. Three semesters of calculus (01:640:151-152, and 251 or equivalent), Introductory Linear Algebra (01:640:250), and Elementary Differential Equations (01:640:252). Courses 01:640:250, 251, and 252 must be passed with grades of C or better. Majors normally should take both 01:640:250 and 251 in the first semester of their sophomore year.

2. 01:198:107 Introduction to Computing for Mathematics and the Sciences with a grade of C or better. (01:198:111 Introduction to Computer Science or 14:332:252 Programming Methodology I may be substituted for 01:198:107.) It is recommended strongly that this course be completed by the end of the second semester of the sophomore year.

3. The completion of all the requirements in one of the mathematics major options listed below. (Students must notify the mathematics department in writing if they are not following the standard mathematics major option. Courses in other departments may not be substituted.)

Grade Requirements for Mathematics Majors

To be admitted to the mathematics major program, a student normally must have completed three semesters of calculus with a grade of C or better in each course. To continue as a mathematics major, a student must make satisfactory progress toward completing the program. Satisfactory progress for a full-time student normally means passing at least one mathematics course at an appropriate level each semester with a grade of C or better. To complete the mathematics major program, a student must receive grades of C or better in 01:640:250, 251, and 252 and in all but one of the further mathematics courses. A student also must receive grades of C or better in the courses in other departments (e.g., computer science) used to fulfill the requirements of the program.

Mathematics Major Options


Option A, Standard Mathematics (Curriculum Code 640).
In addition to the requirements above, to complete the standard mathematics major a student must pass eight 300- to 400-level mathematics courses, excluding 01:640:491,492. All but one of these courses (curriculum code 640) must be passed with a grade of C or better. At least four of the upper-level courses used to complete the major must be taken at Rutgers University-New Brunswick, including one of 01:640:311,312, 411-412, and one of 01:640:350, 351-352, 451-452. An appropriate Rutgers graduate mathematics course may be substituted for the required analysis and/or algebra course, with departmental approval.

Recommended are probability (01:640:477), statistics (01:640:481), a course in mathematical modeling (01:640:321, 338, or 478), and a course in discrete mathematics (01:640:338, 354, 428, or 454). Also recommended is a two-semester sequence of mathematically oriented courses in some other discipline; a list of suggested courses can be found in the Brochure for Math Majors.

Option B, Honors Track.
The Department of Mathematics offers a special honors track to qualified students. Admission to the honors track is by application, which is available from the mathematics undergraduate office or from the mathematics department website. Students should normally apply no later than the end of the first semester of their sophomore year. Students in the honors track will have their progress reviewed by the honors committee, and are expected to earn a B or better in their advanced math courses (300 level and above). Students who successfully complete the honors track are eligible for graduation with a bachelor of science.

Each student in the honors track will be assigned a faculty adviser. Together with the adviser, he or she will formulate a proposed course plan, subject to the approval of the mathematics honors committee. This course of study will normally include 01:640:192, 291, and 292 (01:640:151,152, 251, and 252 may be accepted if approved by the Honors Committee); either 01:198:107 or 01:198:111; 01:640:250, 300 (honors), 411-412, and 451-452; two semesters of 1-credit honors seminar, at least one at the junior/senior level; and four mathematics electives as approved by the honors committee.

Actuarial Mathematics Track

The major in actuarial mathematics requires 66 credits, primarily in mathematics and economics, as indicated below. See Brochure for Math Majors.

I. Core Math and Computer Science Courses (21 credits total)
Calculus I-IV; 01:640:151, 152, 251, 252
Linear Algebra; 01:640:250
Computer Science; 01:198:107 or 01:198:111

II. Core Economics and Statistics Courses (9 credits total)

Micro- and macroeconomics; 01:220:102, 01:220:103
Statistics I; 01:960:211 or 01:960:285

III. Additional Mathematics Courses (21 credits total)

Required courses:
01:640:285  Introduction to Interest Theory for Actuarial Science (3) (covers material on the SOA FM exam; students who pass the FM exam may be excused from this requirement)
01:640:477  Mathematical Theory of Probability (3)
01:640:486  Mathematics of Life Contingent Risk Models I (3) (covers material on the SOA MLC exam)

Elective courses: Four additional mathematics courses at the level of 300 and above. The following are recommended:
01:640:485  Introduction to Mathematical Finance (3) (covers material on the SOA FM exam)
01:640:481  Mathematical Theory of Statistics (3)
01:640:478  Introduction to Stochastic Processes (3)
01:640:487  Mathematics of Life Contingent Risk Models II (3) (covers material on the SOA MLC exam)
01:640:354  Linear Optimization (3)
01:640:373  Numerical Analysis (3)

IV. Additional Economics courses (15 credits) 

Required:
01:220:320  Intermediate Microeconomic Analysis (3)
01:220:321  Intermediate Macroeconomic Analysis (3)
01:220:322  Econometrics (3)

Students must take two additional electives, at least one of which is in economics, from the following list:
Other 300/400-level math courses
01:220:421  Economic Forecasting and Big Data (3)
01:220:413  Financial Economics (3)
01:220:481  Economics of Uncertainty (3)

V. Admission into the Actuarial Major; Graduation Requirements

To be admitted into the program the student must complete three semesters of calculus, Math 285, and Economics 102 and 103 with grades of C or better. To complete the program students must achieve a grade of C or better in all but one of the required or elective courses of the program.

Biomathematics Interdisciplinary Major (Curriculum Code 122)

The major in biomathematics requires 63-67 credits distributed as follows: mathematics 33 credits, and biology and cognate fields 30-34 credits. A grade of C or better in courses credited toward the major is required for graduation, and each course may be repeated only once to replace D/F grades. See Brochure for Math Majors.

Core biology and chemistry required courses:

  01:119:115-116  General Biology I and II (4,4), or equivalent
  01:160:161-162  General Chemistry I and II (4,4), or equivalent
  01:160:171  Introduction to Experimentation (1)

Mathematics required courses:

  01:640:151,152, 251 Calculus for Mathematical and Physical Sciences I, II, and III (4,4,4)
  01:640:250  Introductory Linear Algebra (3)
  01:640:252  Elementary Differential Equations (3)
  01:640:336  Dynamical Models in Biology (3)
  01:640:338  Discrete and Probabilistic Models in Biology (3)
  01:640:477  Mathematical Theory of Probability (3)
  01:640:481  Mathematical Theory of Statistics (3)

One of the following courses:

  01:640:350  Linear Algebra (3) 
  01:640:373  Numerical Analysis (3)
  01:640:423  Elementary Partial Differential Equations (3)
  01:640:428  Graph Theory (3)
  01:640:454  Combinatorics (3)
  01:640:478  Probability II (3)

Required lab, one of the following:

  01:119:382 (1); 01:146:357 (1); 01:146:475 (1); 14:125:315 (1)

Note: 01:447:390 is a 4-credit elective (see below) and includes a lab that satisfies this requirement.

Electives:
Four courses from the following list. 01:447:380 is highly recommended. No more than one course from 14:125 (biomedical engineering) can count as an elective.

  01:146:245  Fundamentals of Neurobiology (3)
  01:146:270  Fundamentals of Cell and Developmental Biology (3)
  01:146:302 or 01:447:302  Computers in Biology (3)
  01:146:356  Systems Physiology (3)
  01:146:445  Advanced Neurobiology (3)
  01:146:470  Advanced Cell Biology (3)
  01:146:474  Immunology (3)
  01:160:305  (3) or 307 (4) or 315 (4)  Organic Chemistry
  01:160:306  (3) or 308 (4) or 316 (4)  Organic Chemistry
  01:447:380  Genetics (4)
  01:447:384  Genetic Analysis (4)
  01:447:390  General Microbiology (4)
  01:447:480  Topics in Molecular Genetics (3)
  01:447:486  Evolutionary Genetics (3)
  11:704:351  Principles of Applied Ecology (4)
  11:704:486  Principles of Evolution (3)
  16:215:513  Population Genetics (01:447:380) (3)

No more than one of:

  01:146:478  Molecular Biology (3)
  01:694:301  Introductory Biochemistry and Molecular Biology (3)
  01:694:407  Molecular Biology and Biochemistry I (3)
  01:694:408  Molecular Biology and Biochemistry II (3)

No more than one of:

  14:125:403  Cardiovascular Engineering (3)
  14:125:407  Fundamentals of Computer Tomography (3)
  14:125:410  Sensory Processes, Mechanisms, and Computational Models (3)

Graduation with Honors in Biomathematics

The interdisciplinary major in biomathematics has a program for recognizing graduating biomathematics majors for outstanding performance. Under this program, such students, upon graduation, may be awarded honors in biomathematics.

Note that the requirements for graduation with honors in biomathematics are distinct from other honors graduation programs such as the honors program of the School of Arts and Sciences. Students may qualify for one or more honors programs, in multiple departments.

Students who will meet the requirements for biomathematics graduation honors and wish to be considered for graduation with honors in biomathematics should file the Intent to Complete Biomathematics Honors by February of their senior year, in order to ensure consideration for the program.

To graduate with biomathematics honors, a biomathematics major must:

1. have a cumulative grade-point average of 3.4 or better in the five mathematics courses at or above the 300 level taken to fulfill the biomathematics required and elective courses;

2. have a cumulative grade-point average of 3.4 or better in the four courses taken to fulfill the biomathematics required upper-level science courses;

3. have an overall cumulative grade-point average of 3.0;

4. at least one of 01:640:336 and 01:640:338 must be completed with a grade of B+ or better; and

5. must have completed with a B+ or better grade in the biomathematics research courses 01:122:491 and 01:122:492.


Statistics-Mathematics Interdisciplinary Major (Curriculum Code 961)


See Statistics 960.


 
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