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DOCUMENTS OF THE GENERAL FACULTY

CHANGES TO THE BACHELOR OF SCIENCE IN MATHEMATICS
IN THE COLLEGE OF NATURAL SCIENCES CHAPTER OF
THE UNDERGRADUATE CATALOG, 2004-2006


Dean Mary Ann Rankin of the College of Natural Sciences has filed with the secretary of the Faculty Council proposed changes to the Bachelor of Science in mathematics in the College of Natural Sciences chapter in The Undergraduate Catalog, 2004-2006. The faculty of the college approved the changes on June 12, 2003. The dean approved the proposed changes on January 20, 2004, and submitted them to the secretary on January 21, 2004. The secretary has classified this proposal as legislation of exclusive application and primary interest to a single college or school.

The edited proposal was received from the Office of Official Publications on March 10, 2004, and was sent to the Committee on Undergraduate Degree Program Review from the Office of the General Faculty on March 15, 2004. The committee forwarded the proposed changes to the Office of the General Faculty on April 22, 2004, recommending approval. The authority to grant final approval on behalf of the General Faculty resides with the Faculty Council.

If no objection is filed with the Office of the General Faculty by the date specified below, the legislation will be held to have been approved by the Faculty Council. If an objection is filed within the prescribed period, the legislation will be presented to the Faculty Council at its next meeting. The objection, with reasons, must be signed by a member of the Faculty Council.

To be counted, a protest must be received in the Office of the General Faculty by April 30, 2004.

<signed>

Sue Alexander Greninger, Secretary
The Faculty Council



This legislation was posted on the Faculty Council Web site (http://www.utexas.edu/faculty/council/) on April 23, 2004. Paper copies are available on request from the Office of the General Faculty, FAC 22, F9500.

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CHANGES TO THE BACHELOR OF SCIENCE IN MATHEMATICS
IN THE COLLEGE OF NATURAL SCIENCES CHAPTER OF
THE UNDERGRADUATE CATALOG, 2004-2006


On pages 428-430, under the heading DEGREES in the section BACHELOR OF SCIENCE IN MATHEMATICS in the College of Natural Sciences chapter in The Undergraduate Catalog, 2002-2004, make the following changes:


BACHELOR OF SCIENCE IN MATHEMATICS

As an alternative to the Bachelor of Arts degree, the Bachelor of Science in Mathematics is designed with a twofold purpose: to offer students a more extensive scientific program that may better prepare them for graduate study or employment, and to recognize students who choose to pursue a more demanding program. Students are given the opportunity to develop greater breadth and depth in their mathematical programs as well as to combine mathematics with a concentration in another scientific discipline.

To accomplish these goals, the minimum number of semester hours is increased and the maximum limit is removed. Specialization in one additional scientific area is encouraged, and the foreign language requirement is shortened by one semester.

Students seeking the Bachelor of Science in Mathematics must select one of five options: actuarial science, applied mathematics, mathematical sciences, pure mathematics, and mathematics for secondary teaching. Students who choose the option in mathematical sciences must also select a specialization in either scientific computation or statistics, probability, and data analysis.

None of the following courses may be counted toward the degree: Mathematics 301, 302, 303D, 305G.

PRESCRIBED WORK COMMON TO ALL OPTIONS

1. Rhetoric and Composition 306 and English 316K. In addition, in taking courses to fulfill other degree requirements, the student must complete two courses certified as having a substantial writing component; one of these courses must be upper-division. If the writing requirement is not fulfilled by courses specified for the degree, the student must fulfill it either with electives or with coursework taken in addition to the number of hours required for the degree. Courses with a substantial writing component are identified in the Course Schedule.

2. Courses 506 and 507 (or the equivalent) in a single foreign language, and a three-semester-hour course in the same language for which 507 is a prerequisite; or as much of this coursework as required by the student’s score on the appropriate language placement test. For students who enter the University with fewer than two high school units in a single foreign language, the first two semesters in a language may not be counted toward the total number of hours required for the degree.

3. Six semester hours of American history.

4. Six semester hours of American government, including Texas government.

5. Three semester hours in anthropology, economics, geography, linguistics, psychology, or sociology.

6. Eight semester hours in one of the following areas: astronomy, biology, chemistry, geological sciences, and physics.

7. Six semester hours in architecture, classics (including classical civilization, Greek, Latin), fine arts (including art history, design, ensemble, fine arts, instruments, music, studio art, theatre and dance, visual art studies), philosophy, or programs of special concentration. For students in the teaching option, three of these hours must consist of History 329U or Philosophy 329U. For students in the other options, three of these hours must be taken in architecture, classics, fine arts, or philosophy (excluding courses in logic).

8. Mathematics 408C and 408D, or Mathematics 408K, 408L, and 408M.

9. Forty-two semester hours of upper-division coursework.

10. At least six hours of upper-division coursework must be outside both mathematics and the subject areas listed in requirement 6. Philosophy courses in logic, computer sciences courses in discrete mathematics,


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  and engineering courses may not be used to fulfill this requirement.

11. Eighteen semester hours in mathematics must be completed in residence at the University.

12. Enough additional coursework to make a total of 126 semester hours.

ADDITIONAL PRESCRIBED WORK FOR EACH OPTION

OPTION I: ACTUARIAL SCIENCE


[12.] 13. Actuarial Foundations [309] 329.

[13.] 14. Economics 304K, 304L, and 420K.

[14.] 15. Accounting 310F or both 311 and 312.

[15.] 16. Finance 357.

[16.] 17. At least thirty-two semester hours of upper-division coursework in mathematics and supporting areas, consisting of
a. One of the following courses: Mathematics 328K, 343K, 361, 361K, 365C, 367K, 373K.
b. Mathematics 340L or 341.
c. Mathematics 362K and either 358K or 378K.
d. At least three courses chosen from the following: Mathematics 439J, 339U, 439V, 349P, 349T.
e. e. Enough additional coursework to provide a total of at least thirty-two hours. In addition to upper-division mathematics courses, the following courses in supporting areas may be counted toward this requirement: Finance 354, 367, Legal Environment of Business 320F, 323, Management Information Systems 325, 333, Risk Management 357E, 369K, 377. Courses used to satisfy this requirement may not be counted toward requirement 10 above.



RATIONALE: ACF 309 has been replaced with ACF 329.


OPTION II: APPLIED MATHEMATICS

[12.] 13. Computer Sciences 303E or the equivalent.

[13.] 14. Thirty-two semester hours of upper-division coursework in mathematics, consisting of the following courses. The student should consult the applied mathematics adviser for information on other courses that may be counted toward this requirement.
a. Mathematics 340L or 341.
b. Mathematics 427K, 348, 362K, and 474M.
c. Mathematics 361 and 365C.
d. Mathematics 343K or 373K.
e. Enough of the following coursework to provide a total of at least thirty-two hours: Mathematics 346, 365D, 368K, 372K, 376C.

OPTION III: MATHEMATICAL SCIENCES

Specialization in Statistics, Probability, and Data Analysis


[12.] 13. Computer Sciences 303E or the equivalent.

[13.] 14. At least thirty-two semester hours of upper-division coursework in mathematics and related areas, consisting of
a. Mathematics 427K and 362K.
b. Mathematics 340L or 341.
c. Mathematics 361K or 365C.
d. Mathematics 358K and 378K.
e. Additional coursework chosen from the following: Civil Engineering 352, Computer Sciences 327E or 347, Economics 341K, 350K (Topic 4: Advanced Econometrics), 350K (Topic 6: Advanced Microeconomic Theory), 350K (Topic 7: Applied Economic Analysis), 354K, Electrical Engineering 366L, 379K (Topic 2: Quality and Reliability Engineering), 379K (Topic 15: Information Theory),


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  Geography 360G, 360L, [Management Information Systems 325,] Mathematics 325K or Computer Sciences 336, Mathematics [439J,] 339J, 339U, [439V,] 339V, 346, 348, [349P,] 449P, [362M,] 365D, 368K, 374G, 474M, Mechanical Engineering 366L, 366Q, 366R, 367S, [279M (Topic: Modeling under Uncertainty), 279M (Topic: Operations Research: Optimization),] Psychology 325K, and Risk Management 357E[, Statistics 376]. Courses used to satisfy this requirement may not be counted toward requirement 10 above.
  Most of these courses have substantial prerequisites, sometimes including courses in other departments. Some have restricted enrollment. The student is responsible for meeting prerequisites and other requirements for enrollment in the courses selected to fulfill this requirement. Courses should be chosen in consultation with the specialization adviser to form a coherent program consistent with the student’s background and goals. [The student is responsible for meeting prerequisites and other requirements for enrollment in the courses he or she selects.]



RATIONALE:

1. C S 347 has been included as an alternative to C S 327E to accommodate students transferring from or majoring simultaneously in computer sciences. (C S 347 covers the material of C S 327E, but is restricted to computer sciences majors. Currently, this course is frequently substituted for C S 327E by petition.)

2. Two additional economics courses are included. They each have substantial mathematical prerequisites.

3. Geography 360L, Spatial Analysis, has been added, since it covers worthwhile statistical techniques not covered in other courses.

4. Management Information Systems 325 and Statistics 376 have been dropped, since they are open only to students enrolled in the McCombs School of Business. (Risk Management 357E has been retained, since students in this specialization have often been successful in getting into this course, which is taken by students in the actuarial science option).

5. Computer Sciences 336 has been listed as an alternative to M 325K to accommodate students transferring from or majoring simultaneously in computer sciences. (C S 336 together with its prerequisite PHL 313K more than covers the material of M 325K and is required for computer sciences majors. Currently this course is frequently substituted for M 325K by petition.)

6. M 362M has been dropped from the list, since it has not been offered in several years.

7. The two M E 279M topics have been dropped by the Department of Mechanical Engineering and replaced by M E 366Q and M E 366R. Hence these changes have been made here also.

8. The order of the two sentences in the last paragraph has been changed, and two new sentences added, in hope that this will draw more attention to the prerequisites and enrollment restrictions on some of the courses listed.

Specialization in Scientific Computation

Students who complete this specialization may simultaneously fulfill the requirements of the Elements of Computing Program and may apply to the director of that program for a certificate of completion. The Elements of Computing Program is described on page 399.

[12.] 13. Computer Sciences 303E and 313E, or 307 and 315.

[13.] 14. At least thirty-two semester hours of upper-division coursework in mathematics and related areas, consisting of
a. Mathematics 340L or 341.
b. Mathematics 427K, 348, 362K, and 368K.
c. Mathematics 361K or 365C.
d. Students who fulfill the requirements of the Elements of Computing Program may count up to six hours of upper-division coursework in that program toward this requirement. Computer Sciences 323E may not be counted toward this requirement. [Additional coursework chosen from the following: Up to six hours of upper-division coursework in the Elements of Computing Program, Mathematics 427L, 343K, 346, 361, 365D, 372K, 373K, 474M, 376C.] Courses used to satisfy this requirement may not be counted toward requirement 10 above.
e. Additional coursework chosen from the following: Mathematics 325K or 328K (but not both),


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  427L, 343K or 373K (but not both), 343L, 346, 358K, 361, 365D, 372K, 378K, 474M, 376C.



RATIONALE:

1. Use of Elements of Computing courses is restricted to students in that program so that simultaneous majors in computer sciences will realize that they cannot substitute other C S courses and thus obtain a cheap BS in Mathematics.

2. C S 323E is excluded because it is similar to M 348.

3. M 325K, Discrete Mathematics, and M 328K, Introduction to Number Theory, require students to do proofs, serving as alternate prerequisites for M 361K or M 365C. M 325K and M 328K also include ideas that are useful in programming.

4. M 343K and M 373K cannot both be counted in this requirement because M 373K is a more sophisticated treatment of similar material.

5. M 343L, Applied Number Theory, has been added because sophisticated computation is increasingly used in this area.

6. The statistics courses M 358K and M 378K are included because of the heavy use of computation in statistical work. This is consistent with the inclusion of the computational courses M 348 and M 368K in the statistics, probability, and data analysis specialization.

OPTION IV: PURE MATHEMATICS

[12.] 13. At least thirty-two semester hours of upper-division coursework in mathematics, consisting of
a. Mathematics 340L or 341.

b. Mathematics 427K, 361, 362K, 365C, and 373K.

c. One of the following two-course sequences: Mathematics 427K and 372K, 358K and 378K, 362K and 339U, 362K and [439J,] 339J, 348 and 368K, 365C and 365D, 367K and 367L, 373K and 373L.

d. Additional hours of upper-division coursework in mathematics chosen with the approval of the mathematics adviser. Either Mathematics 343K or 361K may be counted toward this requirement, but not both.

OPTION V: TEACHING

This program is designed to fulfill the course requirements for certification as a middle grades or secondary school mathematics teacher in Texas; however, completion of the program does not guarantee the student’s certification. For information about additional certification requirements, consult the UTeach Natural Sciences academic adviser.

Students are encouraged to become familiar with a variety of mathematical software relevant to middle grades or secondary teaching, such as computer geometry systems, spreadsheets, and statistical software. Whenever possible, the student should take courses and sections of courses that use these types of software in place of those that do not.

[12.] 13. Mathematics 315C.

[13.] 14. Biology [370C] 337 (Topic: Research Methods-UTeach); Chemistry 368 (Topic: Research Methods-UTeach); or Physics 341 (Topic: Research Methods-UTeach). The course used to fulfill this requirement may also be counted toward requirement 6 above, if it is in the same field of study as the other courses counted toward requirement 8. Students are encouraged to take at least one course to fulfill requirement 6 before taking research methods.

[14.] 15. At least thirty-two semester hours of upper-division coursework in mathematics, consisting of
a. Mathematics 340L or 341.
b. Mathematics 325K, 333L, 358K, and 362K.
c. Mathematics 326K or 360M.
d. Mathematics 361K or 365C.
e. Mathematics 328K, 343K, or 373K.
f. Mathematics 427K or 378K.


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g. Enough of the following coursework to provide a total of at least thirty-two semester hours: Mathematics 326K, 427K, 328K, [439J,] 339J, 339U, 343K, 343L, 348, 360M, 361, [362M,] 365C, 365D, 368K, 373K, 373L, 175 (Topic: Seminar for Prospective Teachers), 378K. A course used to fulfill requirements [14a] 15a through [14f] 15f may not also be counted toward requirement [14g] 15g.

[15.] 16. A three-hour supporting course that uses mathematics but is in a field other than mathematics. The following courses may be used to fulfill this requirement: Architectural Engineering 323K, Astronomy 307, 352K, 352L, 358, 367M, Chemistry 301, 303, Civil Engineering 321, 341, 352, Computer Sciences 307, Economics 420K, [341K, 354K,] Electrical Engineering 302, 366, 366L, [Engineering Mechanics 314,] Geological Sciences 346C, 354, 476K, Geography 360L, Government 341M, Human Development and Family Sciences 322, Mechanical Engineering 320, 326, 366L, [279M (Topic: Modeling under Uncertainty), 279M (Topic: Operations Research: Optimization),] 366Q, 366R, Petroleum and Geosystems Engineering 310, Physics 301, 303K, 303L, Psychology 325K, 332, 334C, 345, Sociology 369L[, Statistics 376]. The supporting course may not also be counted toward requirements 2 through 7 of the prescribed work.

[16.] 17. Eighteen semester hours of professional development coursework: Curriculum and Instruction [667S] 650S, UTeach Natural Sciences 101, 110, 350, 355, 360, 170.

[17.] 18. Students seeking middle grades certification must complete the following courses: Educational Psychology 363M (Topic 3: Adolescent Development), or Psychology 301 and 304; and Curriculum and Instruction 371 [(Topic 23: Reading, Writing, and Assessment across Disciplines)] (Topic 10: Secondary School Reading in the Content Subjects).


SPECIAL REQUIREMENTS

The student must fulfill the University-wide graduation requirements given on pages 16-18 and the college requirements given on page 404. He or she must also make a grade of at least C in Mathematics 408C and 408D and in each course completed at the University and counted toward the prescribed work requirements for his or her option.

To graduate and be recommended for certification, students who follow the teaching option must have a University grade point average of at least 2.50. They must earn a grade of at least C in each of the professional development courses listed in requirement [16] 17 and must pass the final teaching portfolio review; those seeking middle grades certification must also earn a grade of at least C in each of the courses listed in requirement [17] 18. For information about the portfolio review and additional teach certification requirements, consult the UTeach Natural Sciences academic adviser.


RATIONALE:

1. Changing Biology 370C to 337 is a correction of an error in the current catalogue.

2. The sentences added to requirement 14 are intended to clarify a decision made by the Mathematics USC this year.

3. M 362M has been deleted from requirement 15g since this course has not been offered in recent years.

4. “(Topic: Seminar for Prospective Teachers)” has been added to requirement 15g to clarify the intent of the inclusion of M 175.

5. Economics 341K and 354K have been deleted from requirement 16 since they both have Economics 420K as prerequisite, and ECO 420K is one option for this three-hour requirement.

6. The changes in M E courses listed in requirement 16 reflect course changes in the College of Engineering.

7. STA 376 has been omitted from requirement 16 since students not enrolled in the McCombs School of Business are not able to enroll in that course.

8. The changes to requirements 17 and 18 reflect changes to the course inventory made by the Department of Curriculum and Instruction.