Last updated: March 20, 2003 @ 06:56PM

Mathematics

Chair
Eric R. Muller

Professors Emeriti
Howard Bell, Shao-Chien Chang, Velmer B. Headley, John P. Mayberry

Professors
Mei Ling Huang, Ronald A. Kerman, Eric R. Muller, Jan Vrbik, Thomas Wolf

Associate Professors
Stephen Anco, Thomas A. Jenkyns, William J. Ralph

Assistant Professors
Henryk Fuks, Omar Kihel, Yuanlin Li

Instructors
Dorothy Levay, Dorothy Miners

General Information

Administrative Assistant
Cathy Ugulini

905-688-5550, extension 3300
Mackenzie Chown J415
http://www.brocku.ca/mathematics/

The Department of Mathematics offers a unique program, Mathematics Integrated with Computers and Applications (MICA). This innovative program fully integrates computers and applications into a broad spectrum of courses that range over pure mathematics (the study of mathematics for its own sake), applied mathematics (mathematics for applications) and statistics. With its special focus on technology, the MICA program is especially suited for students desiring careers in applications of mathematics that involve computing. Within the MICA program, students can also form areas of concentration in pure mathematics or statistics.The Department of Mathematics is committed to maintaining the high quality of its current honours program during the transition to the new MICA program.

Students in the MICA program will get a solid grounding in mathematical theory and learn how to use computer and information technology to apply and present what they have learned. The core of the MICA program consists of MATH 1P40, 2F40, and 3F40 in which students will confront problems from pure and applied mathematics that require experimental and heuristic approaches. In dealing with such problems, students will be expected to develop their own strategies and make their own choices about the best combination of mathematics and computing required to obtain solutions.

The department has a special interest in Mathematics Education and offers several programs and courses specifically for prospective teachers. See the section below on programs for future teachers.

Certain courses are required for any degree in Mathematics (see below). Because a Mathematics major needs both facility in dealing with mathematical theories and experience in the application of mathematics to real-world problems, each student should discuss his or her particular interests with faculty before selecting elective courses.

Program Notes
  1. All students must take three context credits: one Humanities context credit, one Science context credit and one Social Science context credit. Two credits must be used to satisfy context credit requirements in year 1.
  2. Students intending graduate studies in Pure Mathematics will find it essential to have MATH 4F10 or both MATH 4P03 and 4P04 and desirable to have all of them.
  3. In all 20 credit degree programs, at least 12 credits must be numbered 2(alpha)00 or above, six of which must be numbered 2(alpha)90 or above and of these, three must be numbered 3(alpha)90 or above. In all 15 credit degree programs, at least seven credits must be numbered 2(alpha)00 or above, three of which must be numbered 2(alpha)90 or above.

Mathematics Integrated with Computers and Applications Honours Program

Year 1
·   MATH 1P01, 1P02, 1P12 and 1P40
·   COSC 1P02
·   two and one-half elective credits (see program note 1)
Year 2
·   MATH 2F40, 2P03, 2P08, 2P12, 2P81 and 2P82
·   the Humanities context credit, Science context credit or Social Science context credit (not taken in Year 1)
·   one-half elective credit
Year 3
·   MATH 2P72 and 3F40
·   one and one-half MATH credits numbered 3(alpha)00 or above
·   two elective credits (see program note 3)
Year 4
·   Four MATH credits (see program notes 2 and 3)
·   one elective credit (see program note 3)

Mathematics Honours Program

Year 2
Year 2 is now closed.

Year 3
·   MATH 3P03, 3P04, 3P12 and 3P13
·   one credit from those not taken above or from MATH credits numbered 3(alpha)00 or above
·   two elective credits (see program note 3)
Year 4
·   Four MATH credits (see program notes 2 and 3)
·   one elective credit (see program note 3)

Mathematics Pass Program

Year 1
·   MATH 1P01, 1P02, 1P12 and 1P40
·   COSC 1P02
·   two and one-half elective credits (see program note 1)
Year 2
·   MATH 2F40 and 2P03
·   one of MATH 2P08 and 2P12, MATH 2P12 and 2P72, MATH 2P81 and 2P82
·   the Humanities context credit, Science context credit or Social Science context credit (not taken in Year 1)
·   one and one-half elective credits
Year 3
·   Three MATH credits numbered 3(alpha) 00 or above
·   two elective credits

Combined Major Programs

Combined major programs have been developed by the Department of Mathematics in co-operation with each of these departments: Biological Sciences, Chemistry, Computer Science, Economics and Physics. Program requirements are listed in the calendar sections of the co-major discipline. If any student wishes a major program that combines Mathematics with any other discipline, he or she may request approval of an individual program from the two departments involved.

Mathematics and Computer Science Co-op (honours only)

Students admitted to the Co-op program must follow the program schedule as listed below. Failure to adhere may result in removal from the program.

Year 1
·   COSC 1P02 and 1P03
·   MATH 1P01, 1P02, 1P66 and 1P67
·   one Science context credit
·   one Social Science context credit
Year 2
·   COSC 1P12, 2P03, 2P32 and 2P90
·   MATH 1P12, 1P40, 2P03 and 2P81
·   one Humanities context credit
Spring/Summer Sessions:
·   COSC 0N01
Year 3
·   COSC 2P13, 2P50 and 3F00
·   MATH 2F40 3F65 and 2P82
·   one-half elective credit
Year 4
Fall Term:
·   COSC 0N02
Winter Term:
·   COSC 0N03
Spring/Summer Sessions:
·   one and one-half COSC credits (see program note 3)
·   MATH 3P60 and 4P61
Year 5
Fall Term:
·   one COSC credit (see program note 3)
·   one MATH credit (see program note 3)
·   one-half elective credit (see program note 3)

Programs and Courses for Future Teachers

The Department of Mathematics has identified courses that are particularly appropriate for students preparing to become teachers at either the elementary or secondary levels.

Elementary
To help students meet Primary/Junior Pre-service Education admission requirements at Brock University - MATH 2P52.

Three credits for a specialization - MATH 1F92, 1P66, 2P90, 2P93 and 3P91.

Concurrent BSc/BEd
The Faculty of Mathematics and Science and the Faculty of Education co-operate in offering a concurrent pass BSc/BEd Integrated Studies program with a concentration in mathematics for students interested in teaching grades 4 to 8. After graduation from the BSc/BEd program, students may proceed to an honours Bachelor of Science degree in Integrated Studies. Refer to the Education - Con-current BSc/BEd Program listing for additional information.

Secondary
For Mathematics as the major area of concentration (a minimum of five credits), an honours degree in Mathematics is recommended. Students should consult the Chair in the selection of courses.

For Mathematics as the minor area of concentration (a minimum of three credits) - MATH 1P01, 1P02, 1P12, 2P90, 2P93 and one-half MATH credit.

Certificate in Statistics

The certificate program will be available to people (normally those with a degree in another discipline) who have completed at least one full-year university level course in Calculus.
·   MATH 2P81, 2P82, 3P81, 3P82, 4P81 and 4P82
·   two other credits approved by the Mathematics department and normally selected from mathematics and statistics courses offered by the Mathematics department.

Concentration Programs

Concentration in Pure Mathematics

Students may earn a Concentration in Pure Mathematics by successfully completing the courses listed below as part of the academic work leading to a BSc (honours) in Mathematics (with the possible exception of MATH 2P72).
·   MATH 2P04, 2P12, 2P13, 2P71 (recommended) or 2P72, 3P03, 3P04, 3P12 and 3P13
·   MATH 2P71 (recommended) or 2P72
·   two credits from MATH 4F10, 4F90, 4F91, 4P03, 4P04, 4P71
The words "Concentration in Pure Mathematics" will be added to a student's official transcript when the student graduates with a BSc (honours) in Mathematics having completed the above listed requirements.

Concentration in Statistics

Studens may earn a Concentration in Statistics by successfully completing the courses listed below as part of the academic work leading to a BSc (honours) in Mathematics.
·   MATH 2F40, 2P81, 2P82, 3F40, 3P81, 3P82, 4F83, 4P81 and 4P82.
The words "Concentration in Statistics" will be added to a student's official transcript when the student graduates with a BSc (honours) in Mathematics having completed the above listed requirements.