# Teaching

- Recipient of
**NCSU Certificate of Reflective Teaching**– 2013 - Mathematics Department Nominee for the
**NCSU Outstanding Teacher Award**– 2018, 2017, 2013 - Recipient of a “
**Thank a Teacher**” Letter, NCSU – 2017, 2015, 2013

#### Courses:

**Spring 2021**

MA 734 – Partial Differential Equations (All the relevant information is posted in Wolfware/Moodle)

### Fall 2020

MA 534 – Intro to Partial Differential Equations (All the relevant information is posted in Wolfware/Moodle)

### Spring 2020

MA 734 – Partial Differential Equations (All the relevant information is posted in Wolfware/Moodle)

### Fall 2019

MA 534 – Intro to Partial Differential Equations (All the relevant information is posted in Wolfware/Moodle)

### Fall 2018

MA 534 – Intro to Partial Differential Equations (All the relevant information is posted in Wolfware/Moodle)

MA 225 – Foundations of Advanced Mathematics (All the relevant information is posted in Wolfware/Moodle)

### Spring 2018

MA 734 – Partial Differential Equations (All the relevant information is posted in Wolfware/Moodle)

### Fall 2017

### Spring 2017

- MA 734 – Partial Differential Equations (All the relevant information is posted on Moodle)

### Fall 2016

(All the relevant information is posted on Moodle)

- MA 401 – Applied Differential Equations II (Wave, heat and Laplace equations. Solutions by separation of variables and expansion in Fourier Series or other appropriate orthogonal sets. Sturm-Liouville problems. Introduction to methods for solving some classical partial differential equations.Use of power series as a tool in solving ordinary differential equations). Prerequisites: MA 341. Recommended Books:

- Logan, Applied Partial Differential Equations
- DuChateau and Zachmann, Applied Partial Differential Equations
- Strauss, Partial Differential Equations – An Introduction
- Asmar, Partial Differential Equations with Fourier Series and Boundary Value Problems

**NOTE:** **It is strongly recommended that you review Ordinary Differential Equations and Multivariable and Vector Calculus (Calculus III), as they will be used all the time in MA 401.**

- MA 534 – Intro to Partial Differential Equations

### Spring 2016

(Syllabus and all relevant information are on Moodle)

- MA 715 Analysis II (Measurable sets and functions, Measures, Lebesgue Integration, Lebesgue measure on R, L^p spaces). Prerequisites: MA 515.

### Fall 2015

(All the relevant information will be posted on Moodle)

- MA 401 Applied Differential Equations II (Wave, heat and Laplace equations. Solutions by separation of variables and expansion in Fourier Series or other appropriate orthogonal sets. Sturm-Liouville problems. Introduction to methods for solving some classical partial differential equations.Use of power series as a tool in solving ordinary differential equations). Prerequisites: MA 341.
- MA 515 Analysis I (Metric spaces: contraction mapping principle, Tietze extension theorem, Ascoli-Arzela lemma, Baire category theorem, Stone-Weierstrass theorem, L^p spaces. Banach spaces: linear operators, Hahn-Banach theorem, Open mapping and Closed graph theorems. Hilbert spaces: Projection theorem, Riesz representation theorem, Lax-Milgram theorem, complete orthonormal sets.) Prerequisites: MA 425 and MA 426. Recommended book for review of MA 425: “Introduction to Real Analysis” by R. Bartle and D. Sherbert; Recommended book for review of MA 426: “Elementary Classical Analysis” (Chapters 1-6), by J. Marsden and M. Hoffman.

### Previous Courses taught at NCSU:

MA 493 Special Topics in Mathematics – Measures and Lebesgue Integration (Fall 2014), MA 715 Analysis II (Spring 2014 and Spring 2013), MA 515 Analysis I (Fall 2014, Fall 2013, Fall 2012, and Fall 2011), MA 791 Spectral Theory and Semigroups of Linear Operators (Spring 2013).