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Mathematical Methods in Nanophotonics

Lecture 6 Part 1: Adjoint Differentiation of ODE Solutions

Lecture 1 Part 2: Derivatives as Linear Operators

Lecture 2 Part 1: Derivatives in Higher Dimensions: Jacobians and Matrix Functions

Photonic Materials and Devices

Lecture 5 Part 1: Derivative of Matrix Determinant and Inverse

Video 25: A Solar Thermophotovoltaic System (STVP) Case Study

Introduction to Numerical Methods

Linear Partial Differential Equations: Analysis and Numerics

Lecture 29: Cell Imaging Techniques

Matrix Calculus for Machine Learning and Beyond

Electromagnetics and Applications

Lecture 2 Part 2: Vectorization of Matrix Functions

Optics

Lecture 8 Part 1: Derivatives of Eigenproblems

Lecture 1 Part 1: Introduction and Motivation

Utilizing Abundant Resources

Lecture 7 Part 2: Second Derivatives, Bilinear Forms, and Hessian Matrices

Modeling & Energy Analysis of Liquid Crystals

Electromagnetic Energy: From Motors to Lasers

Lecture 8 Part 2: Automatic Differentiation on Computational Graphs