These videos cover concepts from the first-year Calculus syllabi, explained using examples from faculty members in the Mathematical and Computational Sciences Department.
Students from the department helped in the creation of the videos. Funding was provided by the department, the Provost’s Instructional Technology Innovation Fund, the University of Toronto and the Office of the Dean at the University of Toronto Mississauga.
The Limit of a Function
Horizontal and Vertical Asymptotes
The Chain Rule
Implicit Differentiation and Logarithms
Concavity and Inflection Points
Optimization Problems in One Variable
The Definite Integral and Riemann Sums
The Fundamental Theorem of Calculus
The Substitution Method
Integration by Parts
Improper Integrals on Unbounded Intervals
Improper Integrals on Bounded Intervals
Integration by Partial Fractions
Last updated 21-Oct-22