Teaching Philosophy
My overall approach to the courses that I teach and the curriculum that I are guided by my teaching beliefs: I strive to foster the habits of mind, knowledge, curiosity, and skills that students need to be enlightened and engaged citizens in a society that needs students to have these characteristics. These beliefs guide my consistent efforts to 1) foster a student-centered learning environment, 2) cultivate critical thinking skills and curiosity among students, 3) offer frequent feedback to students through formative and summative assessments, and 4) to strive for the continuous improvement of the courses I teach. My efforts to continually improve my courses and the experiences of my students are guided by through informal evaluation, research, and reflective processes. These efforts help me address the individual learning needs of my students, help them become aware of their own knowledge gaps, and guide them towards a path of being independent learners and enlightened citizens that seek to understand the world through a mathematical lens.
Teaching Appointments
Georgia Institute of Technology
Teaching is of Dr. Mayer’s primary roles in the School of Math at Georgia Tech.
* denotes additional assignment to coordinate multi-section course
| Semester | Course | Course Name | Enrollment | Format |
|---|---|---|---|---|
| 2024 Fall | MATH 1554 | Linear Algebra | 1,160 | Online |
| 2024 Summer | MATH 2552 | Differential Equations | 36 | In person |
| 2024 Summer | MATH 2552 | Differential Equations | 43 | In person |
| 2024 Spring | MATH 2551 | Multivariable Calculus | 759 | Online |
| 2023 Fall | MATH 1554 | Linear Algebra | 767 | Online |
| 2023 Summer | MATH 2552 | Differential Equations | 25 | In person |
| 2023 Summer | MATH 2552 | Differential Equations | 27 | In person |
| 2023 Spring | MATH 2551 | Multivariable Calculus | 637 | Online |
| 2022 Fall | MATH 1554 | Linear Algebra | 647 | Online |
| 2022 Summer | MATH 2552 | Differential Equations | 139 | Online |
| 2022 Spring | MATH 2551 | Multivariable Calculus | 540 | Online |
| 2021 Fall | MATH 1554 | Linear Algebra | 544 | Online |
| 2021 Summer | MATH 2552 | Differential Equations | 165 | Online |
| 2021 Spring | MATH 2552 | Differential Equations | 50 | Online |
| 2021 Spring | MATH 1554 | Linear Algebra | 188 | Online |
| 2020 Fall | MATH 1554 | Linear Algebra | 577 | Online |
| 2020 Summer | MATH 2552 | Differential Equations | 155 | Online |
| 2020 Spring | MATH 2552 | Differential Equations | 54 | Online |
| 2020 Spring | MATH 1554 | Linear Algebra* | 86 | In person |
| 2019 Fall | GT 1000 | First Year Seminar | 31 | In person |
| 2019 Fall | MATH 1554 | Linear Algebra* | 377 | Blended |
| 2019 Summer | MATH 2552 | Differential Equations | 128 | Blended |
| 2019 Spring | MATH 1554 | Linear Algebra* | 113 | In person |
| 2018 Fall | MATH 1554 | Linear Algebra* | 369 | Blended |
| 2018 Fall | GT 1000 | First Year Seminar | 36 | In person |
| 2018 Spring | MATH 2552 | Differential Equations | 86 | In person |
| 2017 Fall | MATH 1554 | Linear Algebra* | 269 | Blended |
| 2017 Fall | GT 1000 | First Year Seminar | 39 | In person |
| 2017 Spring | MATH 1553 | Introduction to Linear Algebra | 56 | In person |
| 2017 Spring | MATH 1551 | Differential Calculus | 86 | In person |
| 2016 Fall | MATH 1554 | Linear Algebra | 279 | Blended |
| 2016 Fall | GT 1000 | First Year Seminar | 32 | In person |
| 2016 Summer | MATH 2550 | Intro to Multivariable Calculus | 14 | In person |
| 2016 Spring | MATH 2550 | Intro to Multivariable Calculus* | 83 | In person |
| 2015 Fall | MATH 1502 | Calculus II | 250 | Blended |
Teaching Appointments on EdX
I teach a series of four linear algebra courses on EdX with support from Georgia Tech Professional Education. Each of these courses have been offered several times.
Course: Linear Algebra 1 – Linear Systems
| Offer Dates | Approximate Enrollment |
|---|---|
| 08/2024 – 12/2024 | |
| 05/2024 – 08/2024 | |
| 01/2024- 05/2024 | TBD |
| 08/2023 – 12/2023 | 3,250 |
| 05/2023 – 08/2023 | 2,600 |
| 01/2023 – 05/2023 | 2,600 |
| 08/2022 – 12/2022 | 3,800 |
| 05/2022 – 08/2022 | 4,050 |
| 01/2022 – 05/2022 | 3,800 |
| 08/2021 – 12/2021 | 4,700 |
| 09/2020 – 02/2021 | 6,700 |
Course: Linear Algebra 2 – Matrix Algebra
| Offer Dates | Approximate Enrollment |
|---|---|
| 08/2024 – 12/2024 | |
| 05/2024 – 08/2024 | |
| 01/2024 – 05/2024 | TBD |
| 08/2023 – 12/2023 | 900 |
| 05/2023 – 08/2023 | 775 |
| 01/2023 – 05/2023 | 650 |
| 08/2022 – 12/2022 | 1,050 |
| 05/2022 – 08/2022 | 1,200 |
| 01/2022 – 05/2022 | 1,000 |
| 08/2021 – 12/2021 | 1,500 |
| 09/2020 – 02/2021 | 2,300 |
Course: Linear Algebra 3 – Determinants and Eigenvalues
| Offer Dates | Approximate Enrollment |
|---|---|
| 08/2024 – 12/2024 | |
| 05/2024 – 08/2024 | |
| 01/2024 – 05/2024 | TBD |
| 08/2023 – 12/2023 | 560 |
| 05/2023 – 08/2023 | 530 |
| 01/2023 – 05/2023 | 430 |
| 08/2022 – 12/2022 | 650 |
| 05/2022 – 08/2022 | 850 |
| 01/2022 – 05/2022 | 750 |
| 08/2021 – 12/2021 | 1,050 |
| 09/2020 – 02/2021 | 1,700 |
Course: Linear Algebra 4 – Orthogonality, Symmetric Matrices, the SVD
| Offer Dates | Approximate Enrollment |
|---|---|
| 08/2024 – 12/2024 | |
| 05/2024 – 08/2024 | |
| 01/2024 – 05/2024 | TBD |
| 08/2023 – 12/2023 | 400 |
| 05/2023 – 08/2023 | 360 |
| 01/2023 – 05/2023 | 290 |
| 08/2022 – 12/2022 | 450 |
| 05/2022 – 08/2022 | 700 |
| 01/2022 – 05/2022 | 550 |
| 08/2021 – 12/2021 | 700 |
| 09/2020 – 02/2021 | 1,250 |
Johns Hopkins Center for Talented Youth
Multivariable Calculus
July 2021 – May 2022
Taught 9 students in an individually paced online course for advanced high school students.
The University of Waterloo, Waterloo, ON, Canada
| Semester | Course | Course Name | Enrollment | Format |
| 2010 Fall | MATH 250 | Introduction to Differential Equations | 201 | Face-to-face |
| 2009 Fall | MATH 116 | Calculus I for Engineers | 85 | Face-to-face |
| 2009 Winter | MATH 228 | Differential Equations | 13 | Face-to-face |
| 2008 Fall | MATH 117 | Calculus I for Engineers | 125 | Face-to-face |
| 2007 Fall | MATH 116 | Calculus I for Engineers | 67 | Face-to-face |
| 2006 Fall | MATH 116 | Calculus I for Engineers | 105 | Face-to-face |