Below are the handouts (with solutions) that I used while teaching Math 2153 recitations at the Ohio State University in the Fall of 2021. I did not provide practice exams since the lecturer was already providing the students with additional practice problems before each exam. Students from future sections of this class may use these as a list of practice problems with solutions to study with. TAs for future sections of this class may decide to present these problems in their recitation sections, possibly even presenting their own solutions, then making these typed solutions available to their students for review later on. For the documents that are typed, I have also separately included the source files in case any other instructor wants to use a modified version of them in their own courses. My latex source files use this class file.
Introduction to Vectors
Recitation Notes for 8/26/2021
There are no practice problems and solutions since this is the first recitation of the semester.
Calculating Work and Vector Decompositions
Recitation Handout for 9/02/2021 Template
Modeling the Game of Pool, Equations of Planes, Lines in 3-Space
Recitation Handout for 9/09/2021 Template
Parameterization of Curves and Differentiation Rules for Vector Valued Functions
Recitation Handout for 9/16/2021 Template
Motion (Position, Velocity, Acceleration) and Arclength
Recitation Handout for 9/23/2021 Template
Curvature and Torsion
Recitation Handout for 9/30/2021 Template
Limits and Differentiability in Several Variables
Recitation Handout for 10/07/2021 Template
Gradient Vectors, Directional Derivatives, and the Second Derivative Test
Recitation Handout for 10/21/2021 Template
The Method of Lagrange Multipliers, Absolute Minima and Maxima
Recitation Handout for 10/28/2021 Template
Double Integration
Recitation Handout for 11/04/2021 Template
Polar Coordinates and Triple Integration (Optional Handout for Fall Break)
Changing the order of Integration, Spherical and Cylindrical Coordinates
Recitation Handout for 11/18/2021 Template
Recitation Handout for 11/18/2021 Typed Solutions
Source Files
Recitation Handout for 11/18/2021 Template Tex File
Recitation Handout for 11/18/2021 Solutions Tex File
CrossSection.png
Problem45.png
CrossSectionForProblem45.png
Graph.png
Problem14-2-66xy.png
Problem14-2-66yx.png
Problem49Solid.png
Problem49xzCylindricalCrossSection.png
Problem49xzSphericalCrossSection.png
Problem50Solid.png
Problem50xzCylindricalCrossSection.png
Problem50xzSphericalCrossSection.png
Line Integrals, Conservative Vector Fields, and Green’s Theorem
Recitation Handout for 12/02/2021 Template
Recitation Handout for 12/02/2021 Typed Solutions
Recitation Handout for 12/02/2021 Hand Written Solutions
While we did not cover change of variables, surface integrals, Stoke’s theorem, or the divergence theorem during the recitations this semester, I have a handouts on these topics from when I was a TA for Math 2153 in the spring of 2022.