Fall 2021: Math 2153 (Calculus III)

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 incase 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

Recitation Handout for 9/02/2021 Typed Solutions

Recitation Handout for 9/02/2021 Hand Written Solutions

Source Files

Recitation Handout for 9/02/2021 Template Tex File

Recitation Handout for 9/02/2021 Solutions Tex File
IntersectionCurve.png
Matching.png


Modeling the Game of Pool, Equations of Planes, Lines in 3-Space

Recitation Handout for 9/09/2021 Template

Recitation Handout for 9/09/2021 Typed Solutions

Recitation Handout for 9/09/2021 Hand Written Solutions

Source Files

Recitation Handout for 9/09/2021 Template Tex File

Recitation Handout for 9/09/2021 Solutions Tex File
IntersectionCurve.png
Matching.png


Parameterization of Curves and Differentiation Rules for Vector Valued Functions

Recitation Handout for 9/16/2021 Template

Recitation Handout for 9/16/2021 Typed Solutions

Recitation Handout for 9/16/2021 Hand Written Solutions

Source Files

Recitation Handout for 9/16/2021 Template Tex File

Recitation Handout for 9/16/2021 Solutions Tex File
IntersectionCurve.png
Matching.png


Motion (Position, Velocity, Acceleration) and Arclength

Recitation Handout for 9/23/2021 Template

Recitation Handout for 9/23/2021 Typed Solutions

Recitation Handout for 9/23/2021 Hand Written Solutions

Source Files

Recitation Handout for 9/23/2021 Template Tex File

Recitation Handout for 9/23/2021 Solutions Tex File
GolfShot.png


Curvature and Torsion

Recitation Handout for 9/30/2021 Template

Recitation Handout for 9/30/2021 Typed Solutions

Recitation Handout for 9/30/2021 Hand Written Solutions

Source Files

Recitation Handout for 9/30/2021 Template Tex File

Recitation Handout for 9/30/2021 Solutions Tex File

Clothoid.png


Limits and Differentiability in Several Variables

Recitation Handout for 10/07/2021 Template

Recitation Handout for 10/07/2021 Typed Solutions

Recitation Handout for 10/07/2021 Hand Written Solutions

Source Files

Recitation Handout for 10/07/2021 Template Tex File

Recitation Handout for 10/07/2021 Solutions Tex File

NonDifferentiableGraph.png


Gradient Vectors, Directional Derivatives, and the Second Derivative Test

Recitation Handout for 10/21/2021 Template

Recitation Handout for 10/21/2021 Typed Solutions

Recitation Handout for 10/21/2021 Hand Written Solutions

Source Files

Recitation Handout for 10/21/2021 Template Tex File

Recitation Handout for 10/21/2021 Solutions Tex File

ContourPlot.png


The Method of Lagrange Multipliers, Absolute Minima and Maxima

Recitation Handout for 10/28/2021 Template

Recitation Handout for 10/28/2021 Typed Solutions

Recitation Handout for 10/28/2021 Hand Written Solutions

Source Files

Recitation Handout for 10/28/2021 Template Tex File

Recitation Handout for 10/28/2021 Solutions Tex File

Argument.PNG
Distance.PNG
DomainForProblem16.PNG
LidlessBox.PNG
LineSegmentForProblem54.PNG
PictureOfEllipticRegion.PNG
SquareInDomain.PNG


Double Integration

Recitation Handout for 11/04/2021 Template

Recitation Handout for 11/04/2021 Typed Solutions

Recitation Handout for 11/04/2021 Hand Written Solutions

Source Files

Recitation Handout for 11/04/2021 Template Tex File

Recitation Handout for 11/04/2021 Solutions Tex File
2DimensionalFTCAnalog.PNG
FirstProblem.PNG
SecondProblem.PNG
Symmetry1.PNG
Symmetry2.PNG
TopViewFor14-3-22.PNG
ViewOfSolidFor14-3-22.PNG


Polar Coordinates and Triple Integration (Optional Handout for Fall Break)

Recitation Handout for 11/11/2021 Template

Recitation Handout for 11/11/2021 Typed Solutions

Source Files

Recitation Handout for 11/11/2021 Template Tex File

Recitation Handout for 11/11/2021 Solutions Tex File

Cardiods.png
Limacon.png
Sprial.png
UnitSphereFirstOctant.png


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

Source Files

Recitation Handout for 12/02/2021 Template Tex File

Recitation Handout for 12/02/2021 Solutions Tex File

StreamLines.png
Square.png
Conservative.png