Mathematics 012a/b, Introductory Calculus  
 Description: Introduction to differential calculus including limits, continuity, definition of derivative, rules for differentiation, implicit differentiation, velocity, acceleration, related rates, maxima and minima, exponential functions, logarithmic functions, differentiation of exponential and logarithmic functions, curve sketching.  Antirequisite(s): OAC Calculus, Grade 12U Advanced Functions and Introductory Calculus (MCB4U), Applied Mathematics 026, Mathematics 030, Calculus 050a/b.  Prerequisite(s): Ontario Grade 12 Advanced Level Mathematics or Grade 11 Functions (MCF3M), or Functions and Relations (MCR3U) or equivalent.  4 lecture hours, 0.5 course.  (Brescia, King's)  back to top 
Mathematics 017a/b, Algebra and Geometry  
 Description: Transformations and matrices, conic sections, vectors, linear combinations, equations of lines and planes, complex numbers, mathematical induction.  Antirequisite(s): OAC Algebra and Geometry; Grade 12U Geometry and Discrete Mathematics (MGA4U); Linear Algebra 040a/b, Mathematics 030, Mathematics 031; Applied Mathematics 025a/b; all courses in Mathematics numbered 100 or above.  Prerequisite(s): Ontario Grade 12 Advanced Level Mathematics, or Grade 11 Functions (MCF3M), or Functions and Relations (MCR3U), or equivalent.  3 lecture hours, 1 tutorial hour, 0.5 course.  (Brescia, King's)  back to top 
Mathematics 028a/b, Finite Mathematics  
 Description: Permutations and combinations; probability theory.  Antirequisite(s): Mathematics 031, Mathematics 208a/b, Mathematics 222a, Statistical Sciences 135, Statistical Sciences 241a/b, the former Statistical Sciences 232a.  Prerequisite(s): Any OAC Mathematics, or Grade 12U Geometry and Discrete Mathematics (MGA4U), or Grade 12U Advanced Functions and Introductory Calculus (MCB4U), or Grade 12U Mathematics of Data Management (MDM4U), or Mathematics 012a/b or Mathematics 017a/b.  3 lecture hours, 0.5 course.  (Brescia, Huron, King's)  back to top 
Mathematics 030, Calculus and Linear Algebra  
 Description: Calculus including elementary techniques of integration, applications such as area, volume, probability; functions of several variables, Lagrange multipliers. Linear algebra including vectors and matrices, linear equations, determinants.  Antirequisite(s): Calculus 050a/b, Calculus 051a/b, Calculus 081a/b, Linear Algebra 040a/b, Applied Mathematics 025a/b, Applied Mathematics 026, Applied Mathematics 213b, Mathematics 031, Mathematics 200a/b, Mathematics 283b, the former Mathematics 202a, 203b.  Prerequisite(s): OAC Calculus or Grade 12U Advanced Functions and Introductory Calculus (MCB4U), or Mathematics 012a/b.  3 lecture hours, 1.0 course.  (Brescia, King's)  back to top 
Mathematics 031, Finite Mathematics  
 Description: Set theory and logic, permutations and combinations, probability, discrete and continuous random variables, vectors and matrices, linear equations, determinants.  Antirequisite(s): Applied Mathematics 025a/b, 213b, Linear Algebra 040a/b; Mathematics 028a/b, 030, 208a/b, 222a, 283b; the former Mathematics 202a, 203b; Statistical Sciences 241a/b.  Prerequisite(s): Any Grade 12U Mathemaics, or any of the former OAC Mathematics, or Mathematics 012a/b, or Mathematics 017a/b.  3 lecture hours, 1.0 course.  (Brescia, King's)  back to top 
Mathematics 236, Elementary Operations Research with Applications  
 Description: Linear programming, basic probability and statistical distributions, networks, decision analysis, utility, game theory, inventory analysis, queuing theory, simulation, Markovian decision model, forecasting. Cannot be taken for credit by students in honors Mathematics programs.  Antirequisite(s): The former Actuarial Science 325a, or 326b, Statistical Sciences 437a/b. This course is equivalent to the former Statistical Sciences 236 and has the same antirequisites as the former Statistical Sciences 236, Applied Mathematics 325a/b.  Prerequisite(s): a) One full course or equivalent, chosen from the following: Calculus 050a/b, Calculus 051a/b or Calculus 081a/b, Applied Mathematics 026, Mathematics 030, Mathematics 031, Mathematics 028a/b; Mathematics 060a/b, Linear Algebra 040a/b; and b) if Mathematics 028a/b or Mathematics 031 was not taken in a), one of the following is also required, either as a prerequisite or a fall term corequisite: Economics 122a/b, Economics 222a/b, Statistical Sciences 135, Statistical Sciences 241a/b.  3 lecture hours, 1.0 course.  (King's)  back to top 
