Fall 2020: Math 2177 (Mathematical Topics for Engineers)

Below are the notes that I used while teaching Math 2177 recitations at the Ohio State University in the Fall of 2020. 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 Partial Derivatives

08-25-2020 pdf (not typed)


Optimization Problems

09-01-2020 pdf

09-01-2020 latex

09-01-2020 Images, Image 1, Image 2


Double Integrals over General Regions and Finding Volumes with Double Integrals

09-08-2020 pdf

09-08-2020 latex

09-08-2020 Images, Image 1, Image 2, Image 3, Image 4, Image 5, Image 6


Double Integrals in Polar, Volume with Triple Integrals, and Evaluating a Triple Integral by Changing the Order of Integration

09-15-2020 pdf

09-15-2020 latex

09-15-2020 Images, Image 1, Image 2, Image 3


Triple Integrals in Spherical and Cylindrical Coordinates

09-22-2020 pdf

09-22-2020 latex

09-22-2020 Images, Image 1, Image 2, Image 3, Image 4, Image 5, Image 6


Midterm 1 Review – Optimization, Changing the order of Integration, Finding the Volume of a 3D Solid

09-29-2020 pdf

09-29-2020 latex

09-29-2020 Images, Image 1, Image 2, Image 3, Image 4, Image 5, Image 6, Image 7, Image 8, Image 9, Image 10, Image 11, Image 12, Image 13, Image 14, Image 15, Image 16


Line Integrals and Conservative Vector Fields

10-06-2020 pdf

10-06-2020 latex

10-06-2020 Image


Solving Linear Systems of Equations

10-13-2020 pdf

10-13-2020 latex


Midterm 2 Review – Spherical and Cylindrical Coordinates, Line Integrals and Conservativity, Consistentcy of Equations

10-20-2020 pdf

10-20-2020 latex

10-20-2020 Images, Image 1, Image 2, Image 3, Image 4


Invertible Matrices and Complex Numbers

10-27-2020 pdf

10-27-2020 latex

10-27-2020 Image


Second Order Linear Differential Equations (and phase-amplitude form)

11-03-2020 pdf

11-03-2020 latex


‘Not Really Second Order’ Differential Equations as well as the Method of Undetermined Coefficients

11-10-2020 pdf

11-10-2020 latex


Midterm 3 Review

11-17-2020 pdf (not typed)


The Method of Separation of Variables, Eigen Values/Functions of a Second Order Differential Equation, Various Fourrier Series

11-24-2020 pdf

11-24-2020 latex

11-24-2020 Images, Image 1, Image 2, Image 3, Image 4


Convergence of Fourrier Series, Heat Flow Problems, and Vibrating String Problems

12-01-2020 pdf

12-01-2020 latex

12-01-2020 Images, Image 1, Image 2, Image 3, Image 4


Compilation of all notes for this semester

Compilation of all notes for this semester pdf

Compilation of all notes for this semester latex (The images files must be downloaded separately from above)