## Example Teaching Materials

I try to structure my lectures and tutorials to maximize student involvement and create an environment where students can take ownership of the learning process. In lectures, I use a student response system mentimeter.com to foster discussion between students and create the expectation that lectures are participatory. I also utilize Jupyter Notebooks (in R and python) to visualize concepts. Collectively, these strategies promote more active learning in the lectures by encouraging students to think about subtle points, to identify what they don't understand (yet), and to ask questions.

### Birthday problem

These materials coordinate with my first lecture for Stat 515, and help to introduce basic concepts (what is probability?, what is an event?, etc) and are meant to spark discussion.

Above are some examples of mentimeter slides.

### Discrete Distributions

An interactive worksheet that I use to illustrate how the shapes of certain discrete distributions vary with respect to changes in the parameters. The worksheet is written in python and hosted as a Jupyter notebook on GitHub. The interactive plots use Plotly (in particular, the plotly scientific graphing libraries for python).

Above are some image captures from the notebook.

## Instructor, KTH Royal Institute of Technology

### Spring 2014

• A primer on SPDEs (7,5 hp) a reading course on stochastic partial differential equations for PhD students, following the monographs by D. Khoshnevisan and J. Walsh.

## Instructor, University of Edinburgh

### Fall 2011

• LaTeX Short Course I delivered a (non-credit) one hour lecture and two hour lab designed to give MSc students an introduction to typesetting documents in LaTeX (>60 students).

### Fall 2010

• LaTeX Short Course I delivered a (non-credit) one hour lecture and a two hour lab designed to give MSc students an introduction to typesetting documents in LaTeX (18 students).

## Tutor/TA, University of Edinburgh

### Spring 2013

• Probability 2 (MATH11099) discrete and continuous time Markov chains and simulation for masters students. A weekly two hour tutorial with accompanying office hours.
• Stochastic Modeling (MATH10007) an undergraduate course in discrete time Markov chains.

### Fall 2012

• Probability 1 (MATH11100) a measure theoretic introduction to probability for masters students. A weekly two hour tutorial with accompanying office hours.

### Spring 2012

• Probability 2 (MATH11099) discrete and continuous time Markov chains and simulation for masters students. A weekly two hour tutorial with accompanying office hours.

### Fall 2011

• Probability 1 (MATH11100) a measure theoretic introduction to probability for masters students. A weekly two hour tutorial with accompanying office hours.
• Introduction to Java Programming (INFR09021) twice weekly two hour labs for FMO MSc students.

### Spring 2011

• Methods of Applied Mathematics (MATH08035) two sections of 15 students each meeting weekly. A core second year course for the honors degree in mathematics.
• Linear Algebra (MATH08007) two sections of 15 students each meeting weekly. A core second year course for the honors degree in mathematics.
• Maths for Informatics 4a (MATH08044) two sections of 15 students each meeting weekly. A probability course for informatics students.
• Maths for Informatics 4b (MATH08045) two sections of 15 students each meeting weekly. A geometry course for informatics students.

### Fall 2010

• Foundations of Calculus (MATH08005) two sections of 15 students each meeting weekly. A core second year course for the honors degree in mathematics.
• Several Variable Calculus (MATH08006) two sections of 15 students each meeting weekly. A core second year course for the honors degree in mathematics.
• Probability (MATH09004) three sections of 15 students each meeting fortnightly. A second and third year specialist course.

### Spring 2010

• Methods of Applied Mathematics (MAT-2-MAM) two sections of 15 students each meeting weekly. A core second year course for the honors degree in mathematics.
• Linear Algebra (MAT-2-LiA) two sections of 15 students each meeting weekly. A core second year course for the honors degree in mathematics.
• Mathematical Computation and Communication (MAT-3-MCC) a third year specialist lab course of 30 students meeting weekly.

### Fall 2009

• Applicable Mathematics 3 (MAT-2-AM3) two sections of 12 students each meeting weekly. A second year course for students in the physical sciences.
• Mathematical Methods 3 (MAT-2-MM3) two sections of 12 students each meeting weekly. A second year course for students in the physical sciences.
• Mathematical Computation and Communication (MAT-3-MCC) a third year specialist lab course of 30 students meeting weekly.

### Spring 2009

• Applicable Mathematics 2 (MAT-1-AM2) one sections of 15 students each meeting fortnightly. A first year course for students in the physical sciences.
• Mathematical Methods 2 (MAT-1-MM2) one sections of 15 students each meeting fortnightly. A first year course for students in the physical sciences.

### Fall 2008

• Applicable Mathematics 1 (MAT-1-AM1) one sections of 15 students each meeting fortnightly. A first year course for students in the physical sciences.
• Mathematical Methods 1 (MAT-1-MM1) one sections of 15 students each meeting fortnightly. A first year course for students in the physical sciences.