Below are the notes that I used while teaching Math 2177 recitations at the Ohio State University in the Spring of 2020. For the notes that are typed, I have also separately included the source files. My latex source files use this class file. My notes for Math 2177 in the Fall of 2020 are all typed and more thorough, so I would recommend examining those notes instead.

## Critical Points and the Second Derivative Test

## The Method of Lagrange Multipliers

## Introduction to Double Integration

## Introduction to Triple Integration

## The Jacobian and Change of Variables for Double Integrals

## The Jacobian and Change of Variables for Triple Integrals and an Introduction to Vector Fields

## Line Integrals and Conservativity

## Solving Systems of Equations with Linear Algebra

## Consistency of Systems of Equations

I started typing my notes after 03/04/2020 since COVID made the class switch from in-person to online