Mathematics Major Proposal, page 1
Department of Mathematics
Proposal
Revised Major and Change of Numbering System
Synopsis
The Department of Mathematics proposes effective Fall Semester, 2003 the following courses be required for completion of a Bachelor of Science degree:
Track I:
Core Major Courses (33 hours): Calculus I, Calculus II, Calculus III, Set Theory, Linear Algebra, Real Analysis I, Real Analysis II, Abstract Algebra I, Abstract Algebra II, and Senior Seminar.
Additional Mathematics Courses (9 hours): The student must take either Ordinary Differential Equations or Probability and Statistics I. The student must also take two other mathematics courses at the 300 level or above at least one of which is at the 400 level.
Cognate Courses (18 hours): The student must take one three hour course in computer programming. The student is required to complete one course sequence (two courses) from the approved cognate course list (see page 4). The student is required to complete three other courses from the approved cognate course list for the B. S. (see page 4).
Track II:
Core Major Courses (33 hours): Calculus I, Calculus II, Calculus III, Set Theory, Linear Algebra, Ordinary Differential Equations, Probability & Statistics I, Real Analysis I, Abstract Algebra I, and Senior Seminar.
Additional Mathematics Courses (9 hours): The student must take either Real Analysis II or Abstract Algebra II. The student must also take two other mathematics courses at the 300 level or above.
Cognate Courses (18 hours): The student must take one three hour course in computer programming. The student is required to complete one course sequence (two courses) from the approved cognate course list (see page 4). The student is required to complete three other courses from the approved cognate course list for the B. S. (see page 4).
Thus, the total course load required for the B. S. in mathematics is 60 hours.
Presently, the total course load required for the B. S. in mathematics is 60 hours. The sixty hours are divided as follows. The courses required for the B. S. are Principles of Mathematics, Calculus I, Calculus II, Calculus III, Set Theory, Linear Algebra, Real Analysis I, Abstract Algebra I, Abstract Algebra II, Senior Seminar, and one additional course at the 400 level (35 hours); while an additional 25 hours of other approved cognate electives in science or mathematics is to be completed in order to earn the degree.
The Department of Mathematics proposes effective Fall Semester, 2003 the following courses be required for completion of a Bachelor of Arts degree:
Core Major Courses (27 hours): Calculus I, Calculus II, Calculus III, Set Theory, Linear Algebra, Real Analysis I, Abstract Algebra I, and Senior Seminar.
Additional Mathematics Courses (15 hours): The student must take either Real Analysis II or Abstract Algebra II. The student must take either Ordinary Differential Equations or Probability and Statistics I. The student must also take three other mathematics course at the 300 level or above at least one of which is at the 400 level.
Cognate Courses (18 hours): The student must take one three hour course in computer programming. The student is required to complete five other courses of the student’s choice that are approved by his advisor and the mathematics department chairman.
Thus, the total course load required for the B. A. in mathematics is 60 hours.
Presently, the total course load required for the B. A. in mathematics is 60 hours. The sixty hours are divided as follows. The courses required for the B. A. are Calculus I, Calculus II, Calculus III, Set Theory, Linear Algebra, Real Analysis I, Abstract Algebra I, Abstract Algebra II, Senior Seminar, and one additional course at the 400 level (35 hours); while an additional 25 hours of other approved cognate electives is to be completed in order to earn the degree.
The Department of Mathematics proposes effective Fall Semester, 2003 that the Principles of Mathematics (Math 180 under the old numbering system; Math 157 under the new numbering system) be changed from a 2 credit course to a three credit course. Justification for this is both practical as well as pedagogical.
The Department of Mathematics proposes effective Fall Semester, 2003 a restructuring of the mathematics program course numbering system. Primary coding would be such that the first digit of a course would reflect the expected enrolment status of the average student taking the course. Courses intended primarily to be completed in the freshman year be at the 100 level; courses intended primarily to be completed in the sophomore year are at the 200 level; courses intended primarily to be completed in the junior year are at the 300 level; and, courses intended primarily to be completed in the senior year are at the 400 level. Secondary coding of course would begin at the 150 level or above such that the second digit of a course would reflect content area. A zero would be a basic course, a 1 would be a service course for other departments, a two would be an applied course, a three would be reserved for future use, a four would be a stochastic course, a five would be a foundations course, a six would be an analysis course, a seven would be an algebra course, an eight would be geometry or topology course, and a nine would be a special topics course. Ternary coding of courses begins at the 150 level or above such that the third digit of a course would reflect sequence of a course. A zero would reflect a core course, a one, two, and three would reflect a sequence of first, second, and third courses of a sequence. Any other digit would reflect the course is non-sequential.
Detailed Description
Coding x1 x2 x3 x1: 0 remedial x2: 0 basic x3: 0 basic
begins at 1 freshman 1 service for other majors 1 first of sequence
151 level 2 sophomore 2 applied 2 second of “
3 junior 3 < for future use> 3 third of “ 4 senior 4 probability and statistics 5, 7, or 9 other
5 foundations 8 directed reading
6 analysis 4 < for future use>
7 algebra 6 < for future use>
8 topology or geometry
9 special topics
Core Curriculum Courses:
Number Title Prerequisite Hours
Math 090 Basic Mathematics (Math 051) 0[1]
Math 100 College Algebra (Math 100) Math 090 (051) 3
Math 110 Finite Math (Math 140) Math 100 (100) 3
Math 120 Pre-calculus (Math 154) Math 100 (100) 3
Math 130 Basic Statistics (Math 155) Math 110 3
Math 157 Principles of Mathematics (Math 180) Math 120 3
Math 160 Calculus for Business (Math 250) Math 110 or 120 3
Math 161 Calculus I (Math 251) Math 120 4
Math 162 Calculus II (Math 252) Math 161 4
CORE CURRICULUM SATISFIED BY: sequence Math 100 & 110 (Division of Humanities), Math 100 & 120 (Division of Business and Economics or Division of Science and Mathematics (non-mathematics major)), Math 161 & 162 (Department of Mathematics). Alternate satisfaction: sequence Math 110 & 130 (Division of Humanities); Math 120 & 160 (Division of Business and Economics); Math 130 & 160 (Division of Business and Economics); Math 120 & 157 (Division of Business and Economics or Division of Science and Mathematics (non-mathematics major)); Math 120 & 161 (Division of Business and Economics or Division of Science and Mathematics (non-mathematics major)); or, Math 161 & 162 (Division of Business and Economics or Division of Science and Mathematics). Any other sequence must be approved by the Department of Mathematics.
Course Numbering
New Number New Title (old title or number) Prerequisite Hours
Math 090 Basic Mathematics (Math 051) 0
Math 100 College Algebra (Math 100) Math 090 3
Math 110 Finite Math (Math 140) Math 100 3
Math 120 Pre-calculus (Math 154) Math 100 3
Math 130 Basic Statistics (Math 155) Math 110 3
Math 157 The Principles of Mathematics (Math 180) Math 120 3
Math 160 Calculus for Business (Math 250) Math 110 or 120 3
Math 161 Calculus I (Math 251) Math 120 4
(renamed from Analysis I)
Math 162 Calculus II (Math 252) Math 161 4
(renamed from Analysis II)
Math 211 Introduction to Discrete Mathematics (Math 280) Math 110 or 120 3
Math 255 Introduction to Set Theory Math 161 3
Math 263 Calculus III (Math 351) Math 162 4
(renamed from Analysis III)
Math 271 Introduction to Linear Algebra (Math 272) Math 161 3
Math 321 Introduction to Ordinary Differential Equations (Math 365) Math 162 3
Math 325 Applied Mathematics I (Math 367) Math 263 and 321 3
Math 327 Applied Mathematics II (Math 368) Math 325 3
Math 341 Probability and Statistics I (Math 355) Math 255 or 211; and 162 3
Math 342 Probability and Statistics II (Math 356) Math 341 and 263 3
Math 361 Real Analysis I (Math 353)
(renamed from Advanced Calculus) Math 255 and 263 3
Math 362 Real Analysis II (Math 354)
(renamed from Advanced Calculus II) Math 361 and 271 3
Math 371 Abstract Algebra I Math 255 or 211; and 271 3
Math 372 Abstract Algebra II Math 371 3
Math 391 Special Topics in ____ To Be Determined (T. B. D.) depending on subject 1, 2, or 3
Math 398 Directed Reading Math 255, T. B. D. 1, 2, or 3
depending on subject
Math 463 Real Variables (Math 451) Math 362 3
Math 465 Complex Variables (Math 454) Math 361 3
Math 467 Numerical Analysis (Math 457) Math 271 and 321 3
Math 475 Number Theory (Math 461) Math 371 3
Math 485 Topology (Math 480) Math 361 3
Math 487 Differential Geometry (Math 482) Math 361 and 271 3
Math 497 Senior Seminar (Math 495) Math 361 and 371. 3
Math 498 Directed Reading and Research Math 361, 371, or 398 & 1, 2, or 3
T. B. D. depending on subject
Degree Requirements[2]:
Bachelor of Science in Mathematics track I:
Requires Math 161, 162, 255, 263, 271, (341 or 321), 361, 362, 371, 372, 497, and 2 other mathematics courses at the 400 level or 1 other 300 level and one other 400 level (42 hours). In addition the student must take one three hour course in computer programming. The student is required to complete one sequence (two courses) of other mathematics or science courses from the approved cognate course list (for example: Mathematics 341 & 342, Biology 111 & 112 or Computer Science 110 & 160) selected by the student in consultation with his advisor and that is approved by the department. The student is required to complete three other courses from the approved cognate course list for the B.S. The maximum number of semester hours of mathematics course work applied to the mathematics major is restricted to 54 hours. Thus, the total course load required for the B. S. in mathematics is 60 hours.
Bachelor of Science in Mathematics track II:
Requires Math 161, 162, 255, 263, 271, 321, 341, 361, 371, (362 or 372), 497, and 2 other mathematics courses at the 300 level or above (42 hours). In addition the student must take one three hour course in computer programming. The student is required to complete one sequence (two courses) of other mathematics or science courses from the approved cognate course list (for example: Mathematics 341 & 342, Biology 111 & 112 or Computer Science 110 & 160) selected by the student in consultation with his advisor and that is approved by the department. The student is required to complete three other courses from the approved cognate course list for the B.S. The maximum number of semester hours of mathematics course work applied to the mathematics major is restricted to 54 hours. Thus, the total course load required for the B. S. in mathematics is 60 hours.
Bachelor of Arts in Mathematics:
Requires Math 161, 162, 255, 263, 271, (321 or 341), 361, 371, (362 or 372), 497 and 3 other mathematics courses at the 300 or 400 level at least one of which is at the 400 level (42 hours). In addition, the student is required to complete 18 hours of cognate electives selected by the student in consultation with his advisor and approved by the chairman of the mathematics department. A three hour course in computer programming must be included in the eighteen hours of cognate electives. . The maximum number of semester hours of mathematics course work applied to the mathematics major is restricted to 54 hours. Thus, the total course load required for the B. A. in mathematics is 60 hours.
Currently (at least 1979 to present): The math for either degree must include: Math 157 (180), 161 (251), 162 (252), 255, 271 (272), 263 (351), 361 (353), 371, 372, 497 (495), and one additional 400 level course.
Approved list of cognate electives for the B. S. include; but, are not limited to:
Mathematics 321Mathematics 325
Mathematics 327
Mathematics 341
Mathematics 342
Mathematics 391
Mathematics 398
Mathematics 463
Mathematics 465
Mathematics 467
Mathematics 475 / Mathematics 485
Mathematics 487
Mathematics 498
Biology 111
Biology 112
Biology 220
Biology 251
Biology 300 or above
Chemistry 111
Chemistry 112
Chemistry 211 / Chemistry 231
Chemistry 232
Chemistry 300 or above
Computer Science 110
Computer Science 160
Computer Science 260
Computer Science 285
Computer Science 300 or above
Engineering 201 / Engineering 205
Engineering 206
Engineering 300 or above
Economics 201
Economics 202
Economics 300 or above
Physics 154
Physics 253
Physics 254
Physics 300 or above
Suggested pace: