Advanced Linear Algebra: Matrix Theory

Dr. Niek de Kleijn is a mathematical physicist and educator currently teaching at Delft University of Technology (TU Delft). He holds a PhD from the University of Copenhagen, where his research focused on non-commutative geometry, particularly symmetries in deformation quantization. This background in advanced mathematical physics provides him with a deep understanding of complex mathematical concepts. At TU Delft, de Kleijn applies his expertise to teaching bachelor-level mathematics courses, including calculus, linear algebra, and probability and statistics. His teaching is exclusively within engineering faculties, indicating a focus on practical applications of mathematics in engineering contexts. De Kleijn's transition from theoretical research to applied mathematics education demonstrates his ability to bridge the gap between advanced mathematical concepts and their practical applications in engineering fields. His role at TU Delft involves preparing future engineers with a solid foundation in mathematics, essential for their technical education and future careers.

Dr. Willem Schouten-Straatman is a dedicated lecturer at Delft University of Technology (TU Delft), specializing in teaching fundamental mathematics courses to undergraduate engineering students. With a PhD from Leiden University focused on a unique type of differential equation combining discrete spatial variables with continuous temporal variables, Schouten-Straatman brings advanced mathematical expertise to his teaching role. His academic journey, which began with a Bachelor's in mathematics and physics, sparked an early passion for education that has shaped his career. At TU Delft, he primarily teaches Bachelor-level courses in linear algebra, calculus, and differential equations, playing a crucial role in building the mathematical foundation for future engineers. Schouten-Straatman's research background in complex differential equations, evidenced by his publications on topics like exponential dichotomies for nonlocal differential operators and traveling wave solutions for discrete equations, enriches his teaching approach. His transition from theoretical research to applied mathematics education demonstrates his commitment to bridging advanced mathematical concepts with practical applications in engineering fields.

Iris Smit serves as a Lecturer in Mathematics at TU Delft, bringing extensive experience in complex dynamics and mathematical education. After completing her studies in Los Angeles, she earned her PhD from the University of Amsterdam with research focusing on complex dynamics. Her academic journey included a postdoctoral position in Trondheim, Norway, before joining TU Delft. As a mathematics lecturer, she specializes in teaching calculus and linear algebra to engineering students across various disciplines. Her expertise extends to the development and programming of formative and summative exercises, enhancing the learning experience for engineering students. She has made significant contributions to mathematics education through her work in creating comprehensive course materials and innovative assessment methods

Marleen Keijzer serves as an Assistant Professor at the Delft Institute of Applied Mathematics, TU Delft, where she combines her passion for teaching with groundbreaking research in medical physics and optimization. Her diverse expertise spans radiative transfer, radiotherapy treatment planning, and multi-criteria optimization. After completing her pioneering PhD research on laser light distribution in human tissues, conducted across prestigious institutions including Harvard Medical School, MD Anderson Cancer Center, and Erasmus Medical Center, she developed significant contributions to Monte Carlo modeling of light transport in tissues

Bart van den Dries serves as a Lecturer in Mathematics at TU Delft's Department of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Sciences, where he teaches fundamental mathematics courses across multiple university departments. After gaining initial teaching experience as a student teaching assistant in mathematics and physics, he completed his PhD in Mathematics from Utrecht University before working as a trainer for high school mathematics teachers. His current role involves teaching comprehensive mathematics courses including calculus, linear algebra, differential equations, and complex analysis. His educational impact extends beyond traditional classroom teaching through his involvement in developing the MOOC Pre-University Calculus, which earned the 2016 Open Education Award for Excellence in the 'Open MOOC' category. Through his work in course development and mathematics education, he continues to bridge the gap between high school and university-level mathematics while contributing to online learning initiatives and pre-master mathematics courses at TU Delft.