University of Ontario Institute of Technology Undergraduate Academic Calendar 2012-2013 14.4.4 Program details and degree requirements – Bachelor of Science (Honours) in Applied and Industrial Mathematics In addition to the regular program, an optional co-operative education program is available to students in Applied and Industrial Mathematics (see Section 14.3 for co-op program details). The requirements for the regular and co-operative education programs are detailed in the following program maps. Although reasonable efforts will be made to adhere to the following program maps, course requirements and term offerings may change. For the most up-to-date list of course offerings, please visit the faculty website at www.science.uoit.ca. YEAR 1 – Regular program and Co-operative Education program Semester 1 (15 credit hours) BIOL 1010U Biology I CHEM 1010U Chemistry I CSCI 1030U Introduction to Computer Science with C++ MATH 1000U Introductory Calculus+ or MATH 1010U Calculus I+ PHY 1010U Physics I+ or PHY 1030U Introductory Physics+ Semester 2 (15 credit hours) BIOL 1020U Biology II or CHEM 1020U Chemistry II MATH 1020U Calculus II MATH 2050U Linear Algebra PHY 1020U Physics II Elective** + All students who have completed Grade 12 Advanced Functions (MHF4U) and Calculus and Vectors (MCV4U) should take MATH 1010U and PHY 1010U. Students without one of these high school courses or equivalent are directed to take MATH 1000U and PHY 1030U. YEAR 2 – Regular program YEAR 2 – Co-operative Education program Semester 1 (15 credit hours) CSCI 2000U Introduction to Mathematical Computation MATH 2015U Calculus III MATH 2080U Discrete Mathematics STAT 2010U Statistics and Probability for Physical Science Elective** Semester 1 (15 credit hours) CSCI 2000U Introduction to Mathematical Computation MATH 2015U Calculus III MATH 2080U Discrete Mathematics STAT 2010U Statistics and Probability for Physical Science Elective** Semester 2 (15 credit hours) MATH 2055U Advanced Linear Algebra and Applications MATH 2060U Differential Equations MATH 2072U Computational Science I Two electives ** Semester 2 (15 credit hours) MATH 2055U Advanced Linear Algebra and Applications MATH 2060U Differential Equations MATH 2072U Computational Science I Two electives** Semester 3 SCCO 1000W Co-op Work Term I* YEAR 3 – Regular program YEAR 3 – Co-operative Education program Semester 1 (15 credit hours) MATH 3020U Real Analysis MATH 3050U Mathematical Modelling Applied and Industrial Mathematics elective** Two electives** Semester 1 (15 credit hours) MATH 3020U Real Analysis MATH 3050U Mathematical Modelling Applied and Industrial Mathematics elective** Two electives** Semester 2 (15 credit hours) MATH 3060U Complex Analysis MATH 4020U Computational Science II PHY 3040U Mathematical Physics Applied and Industrial Mathematics elective** Elective** Semester 2 SCCO 2000W Co-op Work Term II* YEAR 4 – Regular program YEAR 4 – Co-operative Education program Semester 1 (15 credit hours) MATH 4010U Dynamical Systems and Chaos MATH 4050U Partial Differential Equations MATH 4410U Mathematics Thesis Project I*** or Senior Science elective** Applied and Industrial Mathematics elective** Elective ** Semester 1 SCCO 4000W Co-op Work Term IV* Semester 2 (15 credit hours) MATH 4060U Industrial Mathematics MATH 4420U Mathematics Thesis Project II*** or Senior Science elective** Applied and Industrial Mathematics elective** Two Electives** Semester 3 SCCO 3000W Co-op Work Term III* Semester 2 (15 credit hours) MATH 3060U Complex Analysis MATH 4020U Computational Science II PHY 3040U Mathematical Physics Applied and Industrial Mathematics elective** Elective** Semester 3 SCCO 5000W Co-op Work Term V* YEAR 5 – Co-operative Education program Semester 1 (15 credit hours) MATH 4010U Dynamical Systems and Chaos MATH 4050U Partial Differential Equations MATH 4410U Mathematics Thesis Project I*** or Senior Science elective** Applied and Industrial Mathematics elective** Elective** Semester 2 (15 credit hours) MATH 4060U Industrial Mathematics MATH 4420U Mathematics Thesis Project II*** or Senior Science elective** Applied and Industrial Mathematics elective** Two Electives** Notes: No more than 42 credit hours may be taken at the first-year level. * This course is graded on a pass/fail basis. ** Electives and breadth requirements All students must complete 42 elective credit hours including the four Applied and Industrial Mathematics electives. Students not accepted to take MATH 4410U and MATH 4420U must take an additional two senior science electives for a total of 48 elective credit hours. A senior science elective is defined as any 3000- or 4000-level science course not specified in the program map, excluding SCIE and ENVS courses. At least 24 elective credit hours must be in science courses offered by the Faculty of Science including the Applied and Industrial Mathematics Electives. The additional two senior science electives, if taken in place of MATH 4410U and MATH 4420U, cannot be used to meet this requirement. In order to satisfy breadth requirements, no more than 9 additional elective credit hours may be in mathematics (MATH) courses outside the 12 credit hours in Applied and Industrial Mathematics electives; at least 12 elective credit hours must be in courses outside the Faculty of Science. Applied and Industrial Mathematics Electives: MATH 3030U Introduction to Probability Theory MATH 3040U Optimization MATH 3070U Algebraic Structures MATH 4030U Applied Functional Analysis MATH 4041U Topics in Applied Mathematics I MATH 4042U Topics in Applied Mathematics II *** Thesis project or senior science elective courses Students in clear academic standing who have completed 90 credit hours of their MATH program and five third-year required courses may optionally apply to take a two-course sequence consisting of MATH 4410U and MATH 4420U (Thesis Project in Mathematics I and II). Students not accepted to take the thesis courses must complete two additional senior science electives instead. A senior science elective is defined as any 3000- or 4000-level science course not specified in the program map, excluding SCIE and ENVS courses. A student meeting the above requirements who does not take MATH 4410U and MATH 4420U may optionally apply to take MATH 4430U (Directed Studies in Mathematics) as one of the required senior science electives. Opportunities for the Thesis Project and Directed Studies options are limited; for either of these options, students must apply through Science Advising by March 30 following completion of the first three years of the program. Recommended senior science electives that students in the Applied and Industrial Mathematics program may choose to take include: CSCI 3010U Simulation and Modelling CSCI 3070U Analysis and Design of Algorithms CSCI 3090U Scientific Visualization and Computer Graphics PHY 3020U Quantum Mechanics I PHY 3050U Waves and Optics PHY 3060U Fluid Mechanics STAT 3010U Biostatistics