Bulletin 2000-2002
School of Science
Science Building (LD) 222
402 North Blackford Street
Indianapolis, IN 46202-3276
(317) 274-0625
School of Science Home Page 		Department of Mathematical Sciences
Science Building, LD 270
402 N. Blackford Street
Indianapolis, IN 46202-3216
(317) 274-6918
Department of Mathematical Sciences Home Page

PURE MATHEMATICS OPTION

With this option, students will be well prepared for graduate work in pure mathematics. However, students with undergraduate degrees in pure mathematics have also been successful with graduate studies in business administration, computer science, economics, engineering, educational research, law, medicine, operations research, psychology, statistics, and physics. Persons with advanced degrees in pure mathematics find careers primarily in college teaching, but careers in business, industry, or government service are also possible.

The Area IV major requirements are as follows:

  1. Core curriculum: MATH 163, 164, 261, 262, and 351.
  2. Analysis: MATH 441-442.
  3. MATH 453 Beginning Abstract Algebra.
  4. MATH 462 Elementary Differential Geometry or MATH 510 Vector Calculus.
  5. 12 additional credit hours in mathematics or statistics courses at the 300 level or higher. Courses in computer science or courses in other departments of the School of Science that have an appropriate mathematical content may be selected with the approval of the advisor. Normally, no more than 6 credit hours will be approved outside of mathematics and statistics.
  6. The 45 credit hours of courses required above must include at least 6 credit hours from a course
  7. 1-3 hours of MATH 490 or MATH 492 Capstone Experience.
Course Sequences Advanced calculus: MATH 510 and 525
Algebra: MATH 453, and 505 or a higher-level algebra course
Analysis: MATH 441, and 442 or a higher-level analysis course
Geometry: MATH 462, and 561 or a higher-level geometry course
Differential equations: MATH 520, and 537 or higher-level differential equations course
Modeling: MATH 426, and 417 or a higher-level modeling course
Numerical analysis: MATH 414, and CSCI 515 or a higher-level numerical analysis course
Probability and statistics: STAT 311, and 511 or a higher-level probability or statistics course
Scientific computing: CSCI 475 and 476
Theoretical computer science: CSCI 340 and 470

Pure Mathematics Option Sample Program (124 cr. required)

Freshman Year
First Semester
MATH 163 Integrated Calculus and Analytic Geometry I 5
COMM R110 Fundamentals of Speech Communication 3
ENG W131 Elementary Composition I 3
SCI 120 Windows on Science 1
Physical or Biological Sciences Elective with Laboratory 5
17
Second Semester
MATH 164 Integrated Calculus and Analytic Geometry II 5
CSCI 230 Computing I 4
Second Composition Course 3
Physical or Biological Sciences Elective 3
15
Sophomore Year
Third Semester
MATH 261 Multivariate Calculus 4
HIST H114 History of Western Civilization 3
Physical or Biological Sciences Elective 3
Free Electives 6
16
Fourth Semester
MATH 262 Linear Algebra and Differential Equations 4
MATH 351 Elementary Linear Algebra 3
Humanities—List H 3
Physical or Biological Sciences Elective 3
Free Elective 3
16
Junior Year
Fifth Semester
MATH 441 Foundations of Analysis 3
MATH or STAT Elective 3
Foreign Language 5
Social Sciences—List S 3
Free Elective 3
17
Sixth Semester
MATH 442 Foundations of Analysis II 3
MATH 510 Vector Calculus 3
Comparative World Cultures—List C 3
Free Electives 6
15
Senior Year
Seventh Semester
MATH 453 Beginning Abstract Algebra 3
MATH or STAT Elective 3
Junior/Senior Integrator 3
Free Electives 6
15
Eighth Semester
MATH or STAT Electives 6
MATH 492 Capstone Experience 2
Free Electives 6
14
 

INDIANA UNIVERSITY -  PURDUE UNIVERSITY  INDIANAPOLIS
425 University Blvd. Indianapolis, IN 46202-5143
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Copyright 2000, The Trustees of Indiana University