 Academic Calendar 2014 AFFILIATED UNIVERSITY COLLEGES AFFILIATED UNIVERSITY COLLEGE COURSE INFORMATION Calculus (AC)

Calculus (AC)
 Calculus 1000A/B - Calculus I
Review of limits and derivatives of exponential, logarithmic and rational functions. Trigonometric functions and their inverses. The derivatives of the trig functions and their inverses. L'Hospital's rules. The definite integral. Fundamental theorem of Calculus. Simple substitution. Applications including areas of regions and volumes of solids of revolution.
Antirequisite(s): Calculus 1100A/B, Calculus 1500A/B, Applied Mathematics 1413.
Prerequisite(s): One or more of Ontario Secondary School MCV4U, Mathematics 0110A/B, or the former Ontario Secondary School MCB4U.
Corequisite(s):
Pre-or Corequisite(s):
Extra Information: 4 lecture hours, 0.5 course.
(Brescia, Huron, King's)
 Calculus 1301A/B - Calculus II
For students requiring the equivalent of a full course in calculus at a less rigorous level than Calculus 1501A/B. Integration by parts, partial fractions, integral tables, geometric series, harmonic series, Taylor series with applications, arc length of parametric and polar curves, first order linear and separable differential equations with applications.
Antirequisite(s):
Prerequisite(s): A minimum mark of 55% in one of Calculus 1000A/B or 1500A/B, or the former Calculus 1100A/B.
Corequisite(s):
Pre-or Corequisite(s):
Extra Information: 4 lecture hours, 0.5 course.
(Brescia, King's)
 Calculus 1501A/B - Calculus II for Mathematical and Physical Sciences
Students who intend to pursue a degree in Actuarial Science, Applied Mathematics, Astronomy, Mathematics, Physics, or Statistics should take this course. Techniques of integration; The Mean Value Theorem and its consequences; Series, Taylor series with applications; parametric and polar curves with applications; first order linear and separable differential equations with applications.
Antirequisite(s):
Prerequisite(s): A minimum mark of 60% in one of Calculus 1000A/B or 1500A/B, or the former Calculus 1100A/B.
Corequisite(s):
Pre-or Corequisite(s):
Extra Information: 4 lecture hours, 0.5 course.
(Brescia, King's)
 Calculus 2302A/B - Intermediate Calculus I
Three dimensional analytic geometry: dot and cross product; equations for lines and planes; quadric surfaces; vector functions and space curves; arc length; curvature; velocity; acceleration. Differential calculus of functions of several variables: level curves and surfaces; limits; continuity; partial derivatives; tangent planes; differentials; chain rule; implicit functions; extrema; Lagrange multipliers.
Antirequisite(s): Calculus 2502A/B, the former Applied Mathematics 290a.
Prerequisite(s): Calculus 1301A/B or a minimum mark of 55% in Calculus 1501A/B, or Applied Mathematics 1413.
Corequisite(s):
Pre-or Corequisite(s):
Extra Information: 3 lecture hours, 0.5 course
(King's)
 Academic Calendar 2014 AFFILIATED UNIVERSITY COLLEGES AFFILIATED UNIVERSITY COLLEGE COURSE INFORMATION Calculus (AC) 