Teaching | Theoretical Spintronics and Magnetism

EE 116: Engineering Electromagnetics

Quarter	Spring (since 2023)
Prerequisites	PHYS 040C - Physics (Electricity/Magnetism) MATH 010B - Multivariable Calculus II EE 030B - Fundamentals of Electric Circuits II Registrants must have good understanding of vector analysis (vector calculus) and partial differential equations (PDE). While EE 030B can be taken concurrently, PHYS 040C and MATH 010B must be credited prior to taking EE 116.
Textbooks	Fundamentals of Engineering Electromagnetics, David K. Cheng (Supplemental) Electromagnetic Fields and Waves, 2nd Ed., Magdy Iskander (Supplemental) Introduction to Electrodynamics, 5th Ed., David J. Griffiths * Using a previous edition is acceptable.
Grading	Homework 30%; Pop-up quiz 10%; Midterm 20%; Final 40%

EE 220A / MSE 237A: Introduction to Quantum Magnetism

Quarter	Winter (offer bi-yearly with 220B)
Prerequisites	Basic knowledge in quantum mechanics, statistical physics, and electromagnetism
Textbooks	Magnetism in Condensed Matter, by Stephen Blundell (Suggested) Simple Models of Magnetism, by Ralph Skomski (Suggested) Fundamentals of Magnetism, by Mario Reis
Grading	Homework 60%; Final 40%

* Lectures for the IEEE Magnetics Summer School (a "mini course" based on EE220A):

(2020)

Full Lecture: https://www.youtube.com/watch?v=_xKE4sczMD4

(2024)

Part 1: https://www.youtube.com/watch?v=kjTuOeKHrE0

Part 2: https://www.youtube.com/watch?v=JlnklTz5ulY

Part 3: https://www.youtube.com/watch?v=uTIIGhr_rw4

Part 4: https://www.youtube.com/watch?v=ynJGwMpt-6Q

EE 220B: Advanced Spintronics and Nanomagnetic Devices

Quarter	Winter (offer bi-yearly with 220A)
Prerequisites	EE 220A, or consent of instructor
Reading Materials	Spin current, by Sadamichi Maekawa et al. Fundamentals and Applications of Magnetic Materials, by Kannan M. Krishnan Magnetism and Magnetic Materials, by J. M. D. Coey Modern magnetic materials: principles and applications, by Robert O'Handley
Grading	Presentation 40%; Term paper 60%

EE 230: Mathematical Methods for Electrical Engineers

Quarter	Fall
Prerequisites	Good understanding of linear algebra at the undergraduate level
Textbook	(Primary) Linear algebra and its applications, 4th Ed, by Gilbert Strang (Supplemental) Applied Linear Algebra, 2nd Ed, Peter J. Olver and Chehrzad Shakiban (Supplemental) Matrix Analysis and Applied Linear Algebra, Carl D. Meyer
Grading	Homework 30%; Midterm 20%; Final 50%

EE 20B: Linear Algebra for Electrical Engineers

Quarter	Spring (2020, 2021, 2022)
Prerequisites	CS 010A; MATH 009A or MATH 09HA
Textbook	(primary) Elementary Linear Algebra, by Ron Larson (secondary) Introduction to Linear Algebra, by Gilbert Strang (Lab session) Zybook on Matlab
Credit	Credit is awarded for one of the following EE 020 or MATH 031.
Grading	Homework 30%; Midterm 20%; Final 50%

EE 260 (Sec 001): Applied Differential Geometry with MATHEMATICA

Quarter	Start from Winter 2025
Prerequisites	None
Recommended Textbooks	A First Course in Differential Geometry, Lyndon M. Woodward & John Bolton, Cambridge University Press Elementary Differential Geometry, 2^nd Ed., Andrew Pressley, Springer Modern Differential Geometry of Curves and Surfaces with MATHEMATICA, 3^rd Ed., Alfred Gray, Elsa Abbena, and Simon Salamon, Chapman & Hall/CRC
Description	Differential geometry has far-reaching applications in modern physics, from general relativity to quantum information and topological materials. In engineering, it can be applied to solve problems related to signal processing, image analysis, nonlinear controls, and more. Current curricula for non-math majors typically adopt a minimalistic approach, jumping between concepts without fostering a systematic understanding of the fundamentals. Conversely, differential geometry offered by the math department tends to focus heavily on proofs and abstract concepts. This course aims to balance mathematical rigor with physical intuition, bridging the gaps between theory and application. Students will use MATHEMATICA to achieve enhanced visualization of curves and surfaces, gaining unique hands-on experience that deepens their understanding.
Main contents	plane curves, space curves, curvature and torsion, Frenet-Serret formulas, involutes and evolutes, surfaces in R³, the first and second fundamental forms, ruled surfaces and developable surfaces, normal and principal curvatures, Gaussian and mean curvatures, isometric and conformal maps, Dupin indicatrix, Codazzi-Mainardi equations, geodesics, Theorema Egregium, Gauss-Bonnet theorem