Spring 2021: Math 2173 (Engineering Mathematics B)

Below are the handouts and practice exams (with solutions) that I used while teaching Math 2173 recitations at the Ohio State University in the Spring of 2021. 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 notes that are typed, I have also separately included the source files. My latex source files use this class file.


Review of Gradient Vectors and Directional Derivatives

Recitation Handout 1 (1/14/2021) Template

Recitation Handout 1 (1/14/2021) Solutions

Source Files

Recitation Handout 1 (1/14/2021) Template Tex File

Recitation Handout 1 (1/14/2021) Solutions Tex File


Optimization and the Second Derivative Test

Recitation Handout 2 (1/21/2021) Template

Recitation Handout 2 (1/21/2021) Solutions

Source Files

Recitation Handout 2 (1/21/2021) Template Tex File

Recitation Handout 2 (1/21/2021) Solutions Tex File


The Method of Lagrange Multipliers

Recitation Handout 3 (1/28/2021) Template

Recitation Handout 3 (1/28/2021) Solutions

Source Files

Recitation Handout 3 (1/28/2021) Template Tex File

Recitation Handout 3 (1/28/2021) Solutions Tex File




Double Integration over Rectangular Regions

Recitation Handout 4 (2/04/2021) Template

Recitation Handout 4 (2/04/2021) Solutions

Source Files

Recitation Handout 4 (2/04/2021) Template Tex File

Recitation Handout 4 (2/04/2021) Solutions Tex File










Double Integration over General Regions and Polar Coordinates

Recitation Handout 5 (2/11/2021) Template

Recitation Handout 5 (2/11/2021) Solutions

Source Files

Recitation Handout 5 (2/11/2021) Template Tex File

Recitation Handout 5 (2/11/2021) Solutions Tex File












Practice Midterm 1

Practice Midterm 1

Practice Midterm 1 Solutions

Source Files

Practice Midterm 1 Tex File

Practice Midterm 1 Solutions Tex File




Introduction to Triple Integration

Recitation Handout (2/25/2021) Template

Recitation Handout (2/25/2021) Solutions

Source Files

Recitation Handout 6 (2/25/2021) Template Tex File

Recitation Handout 6 (2/25/2021) Solutions Tex File



Spherical and Cylindrical Coordinates

Recitation Handout (3/04/2021) Template

Recitation Handout (3/04/2021) Solutions

Source Files

Recitation Handout 7 (3/04/2021) Template Tex File

Recitation Handout 7 (3/04/2021) Solutions Tex File










Change of Variables in Double and Triple Integrals

Recitation Handout (3/11/2021) Template

Recitation Handout (3/11/2021) Solutions

Source Files

Recitation Handout 8 (3/11/2021) Template Tex File

Recitation Handout 8 (3/11/2021) Solutions Tex File




















Vector Fields and Line Integrals

Recitation Handout (3/18/2021) Template

Recitation Handout 9 (3/18/2021) Solutions

Source Files

Recitation Handout 9 (3/18/2021) Template Tex File

Recitation Handout 9 (3/18/2021) Solutions Tex File



Line Integrals, Circulation, and Flux

Recitation Handout 10 (3/25/2021) Template

Recitation Handout 10 (3/25/2021) Solutions

Source Files

Recitation Handout 10 (3/25/2021) Solution tex file

Recitation Handout 10 (3/25/2021) Template tex file


Practice Midterm 2

Practice Midterm 2

Practice Midterm 2 Solutions

Source Files

Practice Midterm 2 tex file

Practice Midterm 2 Solutions tex file




Conservative Vector Fields and an Introduction to Differential Equations

Recitation Handout 11 (4/08/2021) Template

Recitation Handout 11 (4/08/2021) Solutions

Source Files

Recitation Handout 11 (4/08/2021) Template Tex File

Recitation Handout 11 (4/08/2021) Solutions Tex File



Complex Numbers and Second Order Linear Differential Equations

Recitation Handout 12 (4/15/2021) Template

Recitation Handout 12 (4/15/2021) Solutions

Source Files

Recitation Handout 12 (4/15/2021) Template Tex File

Recitation Handout 12 (4/15/2021) Solutions Tex File









The Method of Undetermined Coefficients

Recitation Handout 13 (4/22/2021) Template

Recitation Handout 13 (4/22/2021) Solutions

Source Files

Recitation Handout 13 (4/22/2021) Template Tex File

Recitation Handout 13 (4/22/2021) Solutions Tex File


Practice Final Exam

Practice Final Exam

Practice Final Exam Solutions

Source Files

Practice Final Exam Tex File

Practice Final Exam Solutions Tex File