E. M. Forster once said:

“Spoon feeding, in the long run teaches us nothing but the shape of the spoon”.

I believe that this quote embeds a fundamental guideline for effective teaching: long-term learning for a student cannot be achieved through passive listening, but only through active participation. This is because there is usually no way to convey an abstract idea unaltered from the teacher’s mind to the student. Instead, the teacher should provide the basic knowledge/material, allow students to reason about it thoroughly and develop their own way of thinking. The main advantage of this approach is that students are encouraged to be creative. Moreover, it generates a sense of self-accomplishment that will be a push for further learning.

My teaching methodology revolves around active learning, I adopt two main strategies. First, in discussion sections I put students into groups of 3 or 4 people, so that they have the opportunity to discuss problems and course material with their peers. At the same time, they develop collaboration and teamwork skills. In fact, when students are given the opportunity to interact with each other, they are more likely to feel like part of a community and become engaged with the course. Second, I believe that thinking is not driven by answers but by questions and that only students who have questions are really thinking and learning. For this reason, I try to create an environment where each student feels comfortable about asking questions.

Current and Past Teaching

  • Fall2018

    Math 214- Applied Linear Algebra (Instructor, University of Michigan, Ann Arbor)

    Teaching Format: Classic lecture format, 70 students.


    An introduction to matrices and linear algebra: matrix operations, echelon form, solution of systems of linear equations, Euclidean vector spaces, linear combinations, independence and spans of sets of vectors in Euclidean space, eigenvectors and eigenvalues, similarity theory. This course covers the basics needed to understand a wide variety of applications that use the ideas of linear algebra, from linear programming to mathematical economics.

    A significant portion of students’ grade is derived from three group projects on the applications of linear algebra (two smaller assigned group projects, and after these, the class concludes with one larger project on a subject of  choice). In Fall 2018, final projects  mainly focused on computer vision, physical systems, neural networks.

     

     

     

  • Fall2017

    Math 217-Linear Algebra ( Instructor, University of Michigan, Ann Arbor)

    Teaching format:IBL (Inquiry Based Learning) teaching format, 18 students


    This course provides a rigorous introduction to linear algebra, as well as an introduction to reading and writing mathematical proofs. It is intended for potential math majors and those interested in theoretical mathematics, and is taught using IBL methods in an interactive classroom. Topics covered include: systems of linear equations; matrix algebra; vectors, vector spaces, and their subspaces; geometry of Rn linear dependence; bases, dimension, and coordinates; linear transformations; eigenvalues and eigenvectors; diagonalization; inner products and orthogonality. We study not only these concepts and their applications, but also methods of proof and the written communication of mathematics. Students should leave this course prepared to use linear algebra as well as to succeed in further theoretical courses in mathematics.

  • Spring2016

    Merit Workshop for Partial Differential Equations

    Workshop for undergraduate students with high academic potential who are members of groups, such as ethnic minorities and women, who tend to be underrepresented in STEM. The workshop involves challenging problems to encourage critical thinking and is designed around in-class activities to promote class discussion and active participation. An example of a class activity performed in the workshop is available below. Sample worksheets, solutions and lecture notes are also available.

    Additional information about the UIUC Merit Program is available here.

  • Fall2015

    MATH 221 - Calculus I (University of Illinois at Urbana-Champaign)

    First course in calculus and analytic geometry for students with some calculus background; basic techniques of differentiation and integration with applications including curve sketching; antidifferentiation, the Riemann integral, fundamental theorem, exponential and trigonometric functions.

  • Summer2015

    MATH 220 - Calculus (Primary Instructor)

    First course in calculus and analytic geometry; basic techniques of differentiation and integration with applications including curve sketching; antidifferentation, the Riemann integral, fundamental theorem, exponential and trigonometric functions.

    Class material is available here.

  • Spring2015

    MATH 234 - Calculus for Business I

    A calculus course intended for those studying business, economics, or other related business majors. The following topics are presented with applications in the business world: functions, graphs, limits, exponential and logarithmic functions, differentiation, integration, techniques, and applications of integration, partial derivatives, optimization, and the calculus of several variables.

  • Fall2014

    MATH 221 - Calculus I

    First course in calculus and analytic geometry for students with some calculus background; basic techniques of differentiation and integration with applications including curve sketching; antidifferentation, the Riemann integral, fundamental theorem, exponential and trigonometric functions.

  • Spring2014

    MATH 234 - Calculus for Business I

    A calculus course intended for those studying business, economics, or other related business majors. The following topics are presented with applications in the business world: functions, graphs, limits, exponential and logarithmic functions, differentiation, integration, techniques, and applications of integration, partial derivatives, optimization, and the calculus of several variables.

  • Fall2013

    MATH 220 - Calculus

    First course in calculus and analytic geometry; basic techniques of differentiation and integration with applications including curve sketching; antidifferentation, the Riemann integral, fundamental theorem, exponential and trigonometric functions.