Teaching

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 Summer MATH 2552 Differential Equations TBD 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
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
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
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
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