MA109: Calculus I

This is an introductory course in Calculus for undergraduates in their freshmen year.

I was a TA for the Autumn 2020 offering of this course under Professor Ravi Ragunathan. The course covers the following.

• The convergence of sequences and series.
• A review of limits, continuity, and differentiability.
• The Mean Value Theorem, Taylor’s Theorem, power series, maxima and minima.
• Riemann integrals, the Fundamental Theorem of Calculus, improper integrals, applications to area and volume.
• Partial derivatives, the gradient and directional derivatives, the chain rule, maxima and minima in several variables, Lagrange multipliers.

My solutions for the tutorial problems can be viewed here