Mike Cummings Research CV

Calculus for Math & Stats II

Math 1XX3, Winter 2022

I am the TA for tutorial sections T04 and T07. The course website is on Avenue; this page is an archive of my tutorial problems.

Tutorial Times

Office Hours

Tutorial Problems

Solutions to selected problem sets are on the class webpage.

Topics Problems
Properties of and solutions to differential equations. Separable equations. Slope fields. Tutorial 1 Problems
Differential equations. Logistic equations. First-order linear differential equations. Tutorial 2 Problems
Sequences, series, and convergence. Monotone Sequence Theorem. Alternating Series Test. Tutorial 3 Problems
Review for Midterm 1 (all previous topics). Convergence of series. Power series. Tutorial 4 Problems
Power series. Taylor series. Tutorial 5 Problems
Parametric equations. Arc length. Speed. Polar coordinates. Tutorial 6 Problems
Vectors in the plane. 3D surfaces, vectors, curves. Dot product and angle. Tutorial 7 Problems
Midterm 2 review (all topics since Midterm 1). Dot and cross product. Polar coordinates. Power series. Taylor series. Tutorial 8 Problems
Multivariable functions. Limits and continuity. Tutorial 9 Problems
Partial derivatives and differentiability of multivariable functions. Tutorial 10 Problems
Gradient. Directional derivatives. Tutorial 11 Problems