MATHEMATICS AND STATISTICS: PROGRAMS OF STUDY Bachelor of Mathematics (General) Bachelor of Mathematics (Honours) Bachelor of Mathematics (Honours Mathematics and Statistics) Bachelor of Operational Research (Honours Co-operative Education Program) Bachelor of Mathematics (Honours Mathematics and Computer Science) Other Combined Honours Programs Concurrent Bachelor of Mathematics/Bachelor of Education Students are reminded that, as indicated in the course descriptions, certain Mathematics and Statistics courses may not be available for credit in some or all of the degree programs outlined below. All programs in Mathematics are subject to the general University and Faculty of Science regulations as outlined in the relevant sections of this calendar. Additionally, Mathematics majors must obtain a grade of C- or better in each Mathematics or Statistics course which is explicitly required in their program of registration. Students registered in the combined Mathematics and Computer Science Honours program also must obtain a grade of at least C- in all required Computer Science courses. Bachelor of Mathematics (General) Total courses: thirty. Major requirements: thirteen courses, including 62-120, 62-140, 62-141, 62-190, 62-215, 62-216, 62-318, 65-250 and 65-251; plus four other courses at the 200 level or above. Other requirements: (a) 60-140 and 60-141; (b) four courses from the Faculty of Arts and Social Sciences; (c) three courses from any area of study, including Mathematics and Statistics; (d) eight courses from any area of study, excluding Mathematics and Statistics. Bachelor of Mathematics (Honours) Total courses: forty. Major requirements: twenty-two courses, consisting of 62-120, 62-140, 62-141, 62-190, 62-215, 62-216, 62-220, 62-221, 62-314, 62-315, 62-318, 62-321, 65-250, 65-251; plus eight more courses (62- or 65-)at the 300 level or above. Other requirements: 60-140 and 60-141; four courses from Faculty of Arts and Social Sciences, and twelve courses from any area of study. Bachelor of Mathematics (Honours Mathematics and Statistics) Students who include in their major requirements 65-350, 65-351 and two other Statistics courses (65-) numbered 300 or higher will receive the degree Bachelor of Mathematics (Honours Mathematics and Statistics). SUGGESTED COURSES FOR MATHEMATICS SPECIALIZATIONS Pure Mathematics: 60-231, 62-322, 62-332, 62-361, 62-410, 62-411, 62-420, 62-421, and 62-422. Statistics: 60-231, 65-340, 65-350, 65-351, and 62-410. Applied Mathematics: 60-231, 62-332, 62-360, 62-361, 62-374, 62-460, 62-461, 62-470, 62-471, 62-480, 62-481, 64-140, 64-141, 64-151, 64-220, 64-250, 64-321, 64-322, 64-350, 64-420, 64-421, 64-450, 64-451, and 65-376. Actuarial: 62-392, 62-374, 62-480, 62-481, 62-490, 62-492, 65-350, 65-351, 65-376, 65-452, 65-454, 70-151, 70-152, 71-140, 72-171, 72-271, and 72-374. Bachelor of Operational Research (Honours Co-operative Education Program) Co-operative Education offers students the opportunity to combine their classroom experiences with related work experiences. Students who are accepted to the Bachelor of Operational Research (Honours Co-operative Education Program) must successfully complete four paid work experiences interspersed throughout their degree program. The experience gained while participating in these structured and supervised work placements is viewed as an integral component of the student’s educational program. Total courses: forty-four. Major requirements: thirty-seven courses, consisting of: (a) Mathematics: 62-120, 62-140, 62-141, 62-190, 62-215, 62-216, 62-220, 62-221, 62-314, 62-374, 62-482; (b) Statistics: 65-250, 65-251, 65-350, 65-351, 65-376, 65-456; (c) Computer Science: 60-140, 60-141; (d) Economics: 41-110, 41-111, 41-221, 41-231; (e) Industrial and Manufacturing Systems Engineering: 91-322, 91-327, 91-400, 91-412, 91-413, 91-429; (f) Business Administration: 70-151, 70-152, 70-256, 73-305, 73-331; (g) and General Engineering 85-211. Other requirements: (a) three electives from any academic area. (b) four work term placements: 62-188, 62-288, 62-388, 62-488. SEQUENCE OF WORK AND STUDY TERMS FIRST YEAR Fall Term: Study term Winter Term: Study term Summer Term: Work term SECOND YEAR Fall Term: Study term Winter Term: Study term Summer Term: Work term THIRD YEAR Fall Term: Study Term Winter Term: Work Term Summer Term: Study Term FOURTH YEAR Fall Term: Work Term Winter Term: Study Term Summer Term: Study Term Bachelor of Mathematics (Honours Mathematics and Computer Science) Total courses: forty. Major requirements-Mathematics and Statistics: sixteen courses, consisting of 62-120, 62-140, 62-141, 62-190, 62-215, 62-216, 62-220, 62-221, 62-314, 62-315, 62-318, 62-321, 65-250, 65-251; plus two courses (62- or 65-) numbered 300 or higher. Major requirements-Computer Science: thirteen courses, consisting of 60-100, 60-140, 60-141, 60-212, 60-214, 60-231, 60-254, 60-256, 60-265, and 60-315; plus three additional courses (60-) at the 300 level or above. Additional Major requirements: four further Mathematics, Statistics, or Computer Science courses at the 200 level or above, excluding 60-106, 60-205, 60-207, 60-305, 60-336 and 65-205. Other requirements: seven courses from any area of study. Other Combined Honours Programs Honours programs combining Mathematics with a second Honours area of study (other than Computer Science) will consist of: Total courses: forty. Major requirements-Mathematics and Statistics: sixteen courses, including 62-120, 62-140, 62-141, 62-190, 62-215, 62-216, 62-220, 62-221, 62-314, 62-315, 62-318, 62-321, 65-250, 65-251; plus two additional courses (62- or 65-) at the 300 level or above. Major requirements-Other Subject: as prescribed by that area of study. Other requirements: (a) 60-140 and 60-141; (b) any additional, non-major requirements as determined by the second area of study; (c) additional courses, if necessary, from any area of study to a total of forty courses. Concurrent Bachelor of Mathematics/Bachelor of Education The Concurrent Bachelor of Mathematics/Bachelor of Education Program is offered jointly over four or five years by the Department of Mathematics and Statistics and the Faculty of Education. The aim is to provide the opportunity and education to individuals who wish to teach mathematics in schools at the intermediate and senior levels (Grade 7 through the end of secondary school). Graduates of this program will receive two degrees and will acquire the necessary skills and knowledge for two teachable subjects and fulfill the requirements for certification by the Ontario College of Teachers. It offers students the opportunity to begin working towards teaching certification early in their academic careers. Students can qualify for the Bachelor of Mathematics degree while concurrently studying education and doing practice teaching in schools. Practice teaching begins in Year One of the program. All students should see an advisor in the Department of Mathematics and Statistics, and in the Faculty of Education, on a regular basis, to discuss course selection and academic progress. PROGRAM REQUIREMENTS CONCURRENT BACHELOR OF MATHEMATICS (GENERAL)/ BACHELOR OF EDUCATION Total courses: Forty-four semester courses CONCURRENT BACHELOR OF MATHEMATICS (HONOURS)/ BACHELOR OF EDUCATION Total courses: Fifty-four semester courses All students are required to complete the requirements of the Bachelor of Mathematics (General or Honours) degree program, in addition to: seven full-year Education courses: 80-203, 80-204, 80-205, 80-303 and 80-366; plus one additional Education course in the range of 80-352 through 80-380; and seventy days of Practice Teaching (80-499). Requirements can also be met for teaching in the Roman Catholic school system by taking 80-200 as an eighth Education course. Mathematics will be the first teachable subject for students in this program. All students must select a group of courses that provide a second teachable subject (6 approved courses in one area) and are advised to seek the recommendations of the program co-ordinators to ensure that their selection of courses fulfills B.Math.(General or Honours) degree requirements, as well as the requirements for a 'teachable' subject from the perspective of the Faculty of Education. Many students elect to complete the Bachelor of Mathematics (Honours) degree, thus increasing the range of their career opportunities. Students should make this decision during their second year of studies. RECOMMENDED COURSE SEQUENCES CONCURRENT BACHELOR OF MATHEMATICS (GENERAL)/ BACHELOR OF EDUCATION First Year: 62-120, 62-140, 62-141, 62-190, 60-140, 60-141, an arts and a social science course; and the education courses, 80-203 and 80-205. Intersession: 80-499 (ten days). Second Year: eight courses in the B.Math. program; and the education course, 80-303. Intersession: continuation of 80-499 (twenty days). Third Year: seven courses in the B.Math. program; plus 80-204 and 80-366. Intersession: continuation of 80-499 (twenty days). Fourth Year: seven courses in the B.Math. program; and one further course in the range 80-352 through 80-380, excluding 80-366; plus 80-200 if applicable. Intersession: completion of 80-499 (twenty days). CONCURRENT BACHELOR OF MATHEMATICS (HONOURS)/ BACHELOR OF EDUCATION First Year: 62-120, 62-140, 62-141, 62-190, 60-140, 60-141, an arts and a social science course; and the education courses, 80-203 and 80-205. Intersession: 80-499 (ten days). Second Year: eight courses in the B.Math. program; and the education course, 80-303. Intersession: continuation of 80-499 (twenty days). Third Year: ten courses in the B.Math program. Fourth Year: seven courses in the B.Math. program; plus 80-204 and 80-366. Intersession: continuation of 80-499 (twenty days). Fifth Year: seven courses in the B.Math. program; and one further course in the range 80-352 through 80-380, excluding 80-366; plus 80-200 if applicable. Intersession: completion of 80-499 (twenty days). Note: Third year in this sequence contains no Education courses. This is to permit students to complete required Mathematics and Statistics courses for prerequisite purposes, and to ensure that the practice teaching component is close to the end of the program, to meet certification requirements. Having the fourth year without Education courses, rather than the third, is also permitted. PRACTICE TEACHING Directed observation and practice teaching will be arranged by the Faculty of Education to include practical experience in schools and programs applicable to the concentration for which the student is a candidate. Candidates in this program will complete their practice teaching in classes from grade seven to the end of Secondary School, inclusive. STANDING REQUIRED FOR CONTINUATION Students must comply with the general university regulations (see 2.4). In addition candidates who obtain a final grade of less than a C in (a) practice teaching, or (b) three or more Education courses in the program will not be recommended for certification. Flexible learning available at Windsor allows students to take some of their required B.Math. courses in Summer Term (Intersession or Summer courses). GRADUATION For Standing Required for Graduation, see 2.4. Graduates of the program will receive both the Bachelor of Mathematics (General or Honours) and the Bachelor of Education (General) degrees. The Faculty of Education does not issue a teaching certificate. The Ontario Certificate of Qualification is issued by the Ontario College of Teachers upon recommendation of the Dean of the Faculty of Education. Only Canadian citizens or Permanent Residents of Canada qualify for this certificate. Minor in Mathematics A minor in Mathematics consists of at least six courses taken from Mathematics and Statistics, with a minimum average of 5.0, including 62-120, 62-140 and 62-141. The remaining three or more courses must be chosen among 62-190 and courses in Mathematics and/or Statistics numbered 200 or higher.