Traditional Mathematics Major

REQUIREMENTS FOR A MATHEMATICS MAJOR

GEC Requirements

This is a traditional mathematics program for students intending to pursue graduate study in mathematics, for those seeking secondary education certification in mathematics, and those seeking a strong foundation in classical mathematics. Students majoring in math who plan to graduate with Honors in Arts and Sciences must take at least the H161 or H190 sequence and one other honors math sequence.

I. REQUIRED COURSES

  1. Calculus sequence: 151, 152, 153, 254 (all qtrs), or the accelerated/honors sequences (all start in Au)
  2. Differential equations: (Preferred) 255 (all), 415 (all) or H521 (Wi)
  3. Foundations of Higher Mathematics: 345 (Au, Sp) or H264 (Sp)
  4. Linear Algebra: 568 or 571 (all) or H520 (Au)
  5. Abstract Algebra Sequence: 580 (Au,Wi), 581 (Wi,Sp), 582 (Sp, Au) or H590 (Au), H591 (Wi), H592 (Sp)
  6. Real Analysis Sequence: 547 (Au,Wi), 548 (Wi,Sp), 549 (Sp, Au) or H190 (Au), H191 (Wi)

II. ELECTIVE - COURSES

In addition to the above, students are required to complete a minimum of 15 hours selected from the following list:

  • calculus on manifolds: H540 (odd Wi), H541 (odd Sp)
  • combinatorial mathematics: 575 (Wi, even Sp), 674 (Su)
  • complex variables: 514 (Sp), 654 (Su) or H522 (Sp)
  • discrete math models: 578 (Sp)
  • geometry: 507 (Au,Wi)
  • history of mathematics: 504 (Sp, Su)
  • linear algebra: 572 (Su,Wi)
  • number theory: 573 (odd Sp), H576 (even Wi), H577 (even Sp)
  • partial differential equations: 512 (all)
  • probability: Math 530 (Au) or Stat 420 (Wi)
  • statistics: 421 (Sp)
  • vector analysis: 551 (Sp) or 513 (Au,Wi)
  • a maximum of 3 hours of 593 or 693 may be used as an elective

III. DATA ANALYSIS REQUIREMENT


The BA degree requires one Data Analysis course as part of the GEC. However, it is recommended that ALL (BS and BA) Math Majors take at least Statistics 420-421 This is not a requirement of the major, but statistics is important for many of the best career opportunities available to mathematics majors.

*This information is current as of 4/11/2007

SAMPLE PROGRAMS

GEC REQUIREMENTS

Mathematics majors are commonly accepted into medical schools, law schools, and MBA programs and do well in these profssional schools. With additional preparation, teaching at the secondary and college levels continues to be an option for mathematics majors.

Approximately 75% of the mathematics bachelor's degree holders in this country are employed in industry, federal and public administration, and services other than education. The opportunities in industry for persons trained in mathematics and math related areas are many and varied including operations research, math modeling, and data analysis. Almost every company now makes extensive use of computers. Computer programming generates a wealth of mathematical problems in logic, combinatorics, number theory, algebra, differential equations and numerical analysis

The following sample are intended to illustrate some of the possibilities for a mathematics major

In preparation for medical or law school
Math 255, 345, 568, 580, 581, 582, 547, 548, 549, 573, 575, 578

In preparation for secondary certification in teaching mathematics
Math 255, 345, 504, 507, 547, 548, 549, 568, 578*, 580, 581, 582, Stat 427, 428
*has a Linear Algebra, Stat and CS&E prerequisite

(to receive certification, students then do graduate work through the College of Education)

In preparation for Graduate school in pure mathematics
Math 255, 345, 530, 547, 548, 549, 514, 568, 575, 580, 581, 582
or
Math H264, H520, H521, H522, H540, H541, H590, H591, H592, 655*, 656*, 657*

* The undergraduate honors sequence provides a strong grounding in algebra and analysis. However any student planning to pursue a graduate degree in mathematics or a related field is strongly urged to include at least one topology course in his/her curriculum. An excellent option is 655-657 which may be taken concurrently with, or following, H590-H591. Other options are 640 (summer only).


 

In support of future or concurrent work in computer and information science
Math 255, 345, 568, 580, 581, 582, 547, 548, 549, 573, 575, 578

In support of applied areas such as physics or engineering
Math 255, 345, 571, 572, 580, 581, 582, 547, 548, 549, 551, 514, 512, 578




BACHELOR OF SCIENCE IN MATHEMATICS

GEC REQUIREMENTS

SAMPLE SCHEDULE

Autumn   Winter   Spring
Math 151 5 Math 152 5 Math 153 5
Science 5 Science 5 English 110
5
Language 5 Language 5 Language 5
Survey 1

Autumn   Winter   Spring
Math 254 5 Math 255 5 Math 345 4
History 5 History 5 Math 568 3
Language 5 Social Science
5 Science 5
Second Writing Course 5 Elective 3 to 5 Social Science
5

Autumn   Winter   Spring
Math 580 3 Math 581 3 Math 582 3
Math Elective 3 to 5 Data Analysis (BA)
3 to 5 Math Elective 3 to5
Science 5 Science 5 Humanities 5
Humanities 5 Humanities 5

Autumn   Winter   Spring
Math 547 3 Math 548 3 Math 549 3
Math Elective 3 to 5 Elective 3 to 5 Math Elective 3 to 5
Elective 5 Social Diversity 3 to 5 Elective
5
Elective 5 Elective
5
Contemp. World Issues (BA)
5

The above sample provides one example of how the courses may be scheduled. Other combinations are possible. Students should consult with their faculty advisor for assistance in selecting and scheduling the mathematics electives.

Students must embed a minimum of 60 hours of ASC or ASC-approved Upper Division course work. In addition, students must complete a minimum of 191 credit hours.



MATHEMATICS MAJOR WITH BUSINESS COMPONENT

Students who are following the mathematics requirements as described above may also be interested in developing a business component. With this in mind, the Department of Mathematics and the College of Business jointly developed the math major-business option. Several prerequisite courses are required: CS&E 200, 201, 214 or 221, 222; Econ 200, 201; and Acct 211, 212. Additional prerequisites for some courses are included below. Students may select a program from one of the following five tracks: accounting, finance, information systems, insurance, or management

Accounting

521 3cr All qtrs.
Financial Accounting I (coreq: 330 & 331) (senior year)
522 3cr All qtrs. Financial Accounting II (senior year)
523 3cr A, W, Sp Financial Accounting III (senior year)
525 3cr A, W, Sp Cost Accounting** (senior year)

Business Administration: Finance

620 4cr All qtrs. Business Finance (senior year)
721 4cr All qtrs. Corporate Finance** (senior year)
722 4cr All qtrs. Investment Management** (senior year)
726 4cr All qtrs. Management of Financial Institutions** (senior year)
      (prereqs. include Econ 520)

Computer Science and Engineering

314 4cr A, W, Sp Business Programming with File Processing (senior year)
670 3cr All qtrs.
Intro to Database Systems I
(senior year)
616 4cr All qtrs. Object-Oriented Systems Analysis
(prereq: CS&E 670 and Math 366)
(senior year)
AMIS 659
4cr W, Sp Information Systems Planning & Mgt**
(senior year)

Insurance Business Administration: Finance

640 4cr A, W, Sp Insurance and Risk (junior year)
741 4cr W Life & Health Risk Management** (senior year)
749 4cr Sp
Property & Liability Risk Management** (senior year)
620 4cr All qtrs. Business Finance

Management-Business Administration: Management Science

330 5cr All qtrs. Decision Sciences: Statistical Techniques (prereq: CS&E 200 & Stat 133) (junior year)
or Stat 427/8
6cr
All qtrs. Probability/Statistics I & II
(junior year)
630 4cr All qtrs. Intro to Production/Operations Management (junior year)
731 4cr A, W, Sp
Quality Management** (senior year)
732 4cr A, Sp
Operations Planning and Control** (senior year)
739 4cr W, Sp Managing Process Improvement** (senior year)

**Note additional prereqs: BusMgt 330 & 331 or Stat 427/428 & Math 568, and BusAdm 499 (see Math Advisor).


Last updated by Diana Bevilacqua on 04/17/08