Fall: Fundamental solutions for elliptic, hyperbolic and parabolic differential operators. Method of characteristics. Review of Lebesgue integration. Distributions. Fourier transform. Homogeneous distributions. Asymptotic methods. Spring: Sobolev spaces. Fredholm alternative. Variable coefficient elliptic, parabolic and hyperbolic linear partial differential equations. Variational methods. Viscosity solutions of fully nonlinear partial differential equations. The main goal of this course is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis.

The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering.

This course was developed in 1987 by the MIT Center for Advanced Engineering Studies. It was designed as a distance-education course for engineers and scientists in the workplace. Advances in integrated circuit technology have had a major impact on the technical areas to which digital signal processing techniques and hardware are being applied. A thorough understanding of digital signal processing fundamentals and techniques is essential for anyone whose work is concerned with signal processing applications. Digital Signal Processing begins with a discussion of the analysis and representation of discrete-time signal systems, including discrete-time convolution, difference equations, the z-transform, and the discrete-time Fourier transform. Emphasis is placed on the similarities and distinctions between discrete-time. The course proceeds to cover digital network and nonrecursive (finite impulse response) digital filters. Digital Signal Processing concludes with digital filter design and a discussion of the fast Fourier transform algorithm for computation of the discrete Fourier transform.

Direct Energy Conversion discusses both the physics behind energy conversion processes and a wide variety of energy conversion devices. A direct energy conversion process converts one form of energy to another through a single process. The first half of this book surveys multiple devices that convert to or from electricity including piezoelectric devices, antennas, solar cells, light emitting diodes, lasers, thermoelectric devices, and batteries. In these chapters, physical effects are discussed, terminology used by engineers in the discipline is introduced, and insights into material selection is studied. The second part of this book puts concepts of energy conversion in a more abstract framework. These chapters introduce the idea of calculus of variations and illuminate relationships between energy conversion processes.

The course focuses on three main dredging processes: the cutting of sand, clay and rock, the sedimentation process in hopper dredges and the breaching process

The purpose of this course is to convey knowledge of the various physical processes associated with slurry handling and transport during dredging. This knowledge is needed for the design of dredging equipment and for planning efficient equipment operations. The various processes are discussed and theories and simulation models that describe the processes are presented and compared during the course. The course can be broken down into four elements: 1. Pumps and engines a. Pump characteristics and cavitation b. Influence of particles on pump characteristics. 2. Hydraulic transport in pipelines a. Two-phase (solid-liquid) flow through pipelines b. Newtonian slurries c. Non Newtonian slurries d. Inclined and long pipelines. 3. Pump and pipeline systems a. Operation point and areas b. Production factors. 4. Case studies

This course deals with the design of drinking water treatment plants. We discuss theory and design exercises.

Momentum principles and energy principles. Lagrange's equations, Hamilton's principle. Applications to mechanical systems including gyroscopic effects. Study of steady motions and nature of small deviations therefrom. Natural modes and natural frequencies for continuous and lumped parameter systems. Forced vibrations. Dynamic stability theory. Causes of instability. This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems. This course was originally developed by Professor T. Akylas.

Upon successful completion of this course, students will be able to: * Create lumped parameter models (expressed as ODEs) of simple dynamic systems in the electrical and mechanical energy domains * Make quantitative estimates of model parameters from experimental measurements * Obtain the time-domain response of linear systems to initial conditions and/or common forcing functions (specifically; impulse, step and ramp input) by both analytical and computational methods * Obtain the frequency-domain response of linear systems to sinusoidal inputs * Compensate the transient response of dynamic systems using feedback techniques * Design, implement and test an active control system to achieve a desired performance measureMastery of these topics will be assessed via homework, quizzes/exams, and lab assignments.

This course will the student provide a background in advanced methods of dynamics and their application to relevant problems in aerospace engineering. The course is given in lecture form, and includes various elaborated example problems relevant for aerospace engineering. course content: Principles of dynamics: Newton's laws, motion with respect to non-inertial reference frames, fictitious forces, conservative systems, phase portraits, virtual work. Lagrangian dynamics: Generalised coordinates, constraints, generalised momenta, generalised forces, Lagrange equations of motion, Lagrangian function, conservative and dissipative systems, constraint forces, Lagrange multipliers, integrals of motion, Jacobi energy function, ignorable coordinates, steady motion. Stability: Definitions, stability of linearised systems, application to general problems and steady motion. Variational analysis: Extrema of integral functionals, Euler-Lagrange equation, essential and natural boundary conditions, Hamilton's principle. Dynamics of rotating bodies: Kinematics, inertia tensor, Euler's equations of motion, moment-free motion, Euler angles, gyrodynamics, steady precession.

Introduction to nonlinear deterministic dynamical systems. Nonlinear ordinary differential equations. Planar autonomous systems. Fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma. Stability of equilibria by Lyapunov's first and second methods. Feedback linearization. Application to nonlinear circuits and control systems. Alternate years. Description from course website: This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

With a significant increase in high-profile data breaches and cybersecurity threats in the last couple years, it is critical for businesses to learn about the costs and investment decisions around securing their online systems. If you make decisions around IT investments in your job or are interested in learning more about securing your business, this course is for you.

While many businesses think of cybersecurity as a technical problem, this course broadens that view and shows that security failures are caused as often by bad business decisions and incentive systems as by bad technical design.
This course provides an introduction to the field of the economics behind cybersecurity, delivered by four leading research teams from distinguished universities around the world. It will provide you with the economic concepts, measurement approaches and data analytics to make better security decisions, while helping you to understand the forces that shape the security decisions of other businesses, products and services.

Electric cars are more than a novel means of mobility. They have been recognized as an essential building block of the energy transition. Fulfilling their promise will imply a significant change in the technical, digital and social dimensions of transport and energy infrastructure. If you want to explore the business opportunities this new market offers, then this is the course for you!

This course explains how electric mobility can work for various businesses, including fleet managers, automobile manufacturers and charging infrastructure providers. The experts of TU Delft, together with other knowledge institutes and companies in the Netherlands, will provide insights into and examples of how innovations have disrupted conventional businesses and created new businesses altogether. This will be explained through various concepts and models, including total cost of ownership models, lean mass production, value chain thinking and business integration.

After completing this course, you will be able to create e-mobility business models and develop a new strategy for your company which includes transition to or incorporation of e-mobility.

The course includes video lectures, presentations and exercises, which are all illustrated with real-world case studies from projects that were implemented in the Netherlands.

Electric vehicles are the future of transportation. Electric mobility has become an essential part of the energy transition, and will imply significant changes for vehicle manufacturers, governments, companies and individuals.

If you are interested in learning about the electric vehicle technology and how it can work for your business or create societal impact, then this is the course for you.

The experts of TU Delft, together with other knowledge institutes and companies in the Netherlands, will prepare you for upcoming developments amid the transition to electric vehicles.

You’ll explore the most important aspects of this new market, including state-of-the-art technology of electric vehicles and charging infrastructure; profitable business models for electric mobility; and effective policies for governmental bodies, which will accelerate the uptake of electric mobility.

The course includes video lectures, presentations and exercises, which are all reinforced with real-world case studies from projects that were implemented in the Netherlands.

Electric cars are more than a novel means of mobility. They have been recognized as an essential building block of the energy transition. Fulfilling their promise will imply a significant change in the technical, digital and social dimensions of transport and energy infrastructure. As the massive adoption of electric mobility will deeply change our society and our individual routines, government intervention is called for. If you are interested in learning about the roles of government in shaping the transition towards electric mobility and renewable energy systems, then this is the course for you.

In this course, you will explore the promise of electric mobility from different public policy perspectives and different levels of government, and learn how they interact. After completing this course, you will be able to assess a policy plan to support the introduction of electric cars and make a motivated choice between alternative policy instruments. In the final week, the course will be concluded by connecting the different track perspectives.

The course includes video lectures, presentations and exercises, which are all illustrated with real-world case studies from projects that were implemented in the Netherlands.

Electric cars are more than a novel means of mobility. They have been recognized as an essential building block of the energy transition. Fulfilling their promise will imply a significant change in the technical, digital and social dimensions of transport and energy infrastructure. If you are interested in learning about the state-of-the-art technology behind electric cars, then this is the course for you!

This course focuses on the technology behind electric cars. You will explore the working principle of electric vehicles, delve into the key roles played by motors and power electronics, learn about battery technology, EV charging, smart charging and about future trends in the development of electric cars.

The course includes video lectures, presentations and exercises, which are all illustrated with real-world case studies from projects that were implemented in the Netherlands.

This course was co-developed by Dutch Innovation Centre for Electric Road Transport (Dutch-INCERT) and TU Delft and is taught by experts from both the industry and academia, who share their knowledge and insights.

This site, created by the Massachusetts Institute of Technology, introduces the electrical engineering and computer science department. Graduates of MIT's electrical engineering and computer science department work in diverse industries and conduct research in a broad range of areas. The site features lecture notes, assignments, solutions, online textbooks, projects, examples and exams.

After this course the student can:
Understand mechanical system requirements for Electric Drive
Understand and apply passive network elements (R, L, C), laws of Kirchhof, Lorentz, Faraday
Understand and apply: phasors for simple R,L,C circuits
Understand and apply real and reactive power, rms, active and reactive current, cos phi
Describe direct current (DC), (single phase) alternating current (AC) and (three phase) alternating current systems, star-delta connection
Understand the principle of switch mode power electronic converters, pole as a two quadrant and four quadrant converter
Understand principles of magnetic circuits, inductances and transformers

The course gives an overview of different types of electrical machines and drives. Different types of mechanica loads are discussed. Maxwell's equations are applied to magnetic circuits including permanent magnets. DC machines, induction machines, synchronous machines, switched reluctance machines, brushless DC machines and single-phase machines are discussed with the power electronic converters used to drive them.Study Goals After following this course the students should have an overview over the different types of electrical machines and the way they are used in drive systems and they should be able to derive equations describing the steady-state performance of these machines

This “textbook” is interactive, meaning that although each chapter has text, they also have interactive HTML5 content, such as quizzes, simulations, interactive videos, and images with clickable hotspots. Students receive instant feedback when they complete the interactive content, and therefore, can learn and check their understanding all in one place.