Close study of a limited group of writers. Instruction and practice in oral and written communication. Topic for Fall: Willa Cather. Topic for Spring: Oscar Wilde and the 90s.

Students learn about slope, determining slope, distance vs. time graphs through a motion-filled activity. Working in teams with calculators and CBL motion detectors, students attempt to match the provided graphs and equations with the output from the detector displayed on their calculators.

De student die dit vak met goed gevolg heeft doorlopen zal in staat zijn om: (1) Op basis van eigenschappen en gedrag onder externe invloeden een klassificatie te maken van materialen en op basis daarvan een eerste indruk te krijgen van hun geschiktheid in bepaalde toepassingen. (2) Inzicht te verkrijgen in de rol van materialen, materiaalgebruik en materiaalontwikkeling in de ontwikkeling, kwaliteit, mogelijkheden en bedreigingen van de samenleving afhankelijk van tijd, plaats en cultuur. Dit inzicht is gebaseerd op objectieve data. (3) Vast te stellen welke materiaaleigenschappen van kritisch belang zijn in mechanische en andere werktuigbouwkundige ontwerpen, en met behulp van eenduidige criteria materiaalkeuzes in de ontwerpcriteria van constructies te optimaliseren. De belangrijkste eigenschappen die aan de orde komen zijn dichtheid, stijfheid, sterkte, plasticiteit, breuk, vermoeiing, wrijving, slijtage. (4) Mechanische eigenschappen van materialen te herleiden tot chemische bindingen, onderlinge krachten, ordeningspatronen, defecten, en relatieve bewegingsmogelijkheden van atomen. De verschillende lengteschalen die materiaaleigenschappen bepalen staan hierbij centraal. Hiermee zal tevens inzicht verkregen worden in de mogelijkheden en beperkingen van materialen onder extreme omstandigheden en in de strategieën die gevolgd kunnen worden om materialen te verbeteren. (5) Optimale keuzes te maken binnen het beschikbare spectrum van procestechnieken (productie, bewerking, vorming, verbinding, afwerking) om componenten en eindproducten te vervaardigen. (6) Software te gebruiken waarmee, gegeven een aantal vereisten van materiaaleigenschappen, het beste materiaal voor een ontwerp kan worden geselecteerd. Deze materiaaleigenschappen gaan verder dan mechanische eigenschappen alleen. Thermische, elektrische, ecologische, economische en recycling-eigenschappen zullen in voorkomende gevallen ook meegewogen worden.

This course is a required sophomore subject in the Department of Materials Science and Engineering, designed to be taken in conjunction with the core lecture subject 3.012 Fundamentals of Materials Science and Engineering. The laboratory subject combines experiments illustrating the principles of quantum mechanics, thermodynamics and structure with intensive oral and written technical communication practice. Specific topics include: experimental exploration of the connections between energetics, bonding and structure of materials, and application of these principles in instruments for materials characterization; demonstration of the wave-like nature of electrons; hands-on experience with techniques to quantify energy (DSC), bonding (XPS, AES, FTIR, UV/vis and force spectroscopy), and degree of order (x-ray scattering) in condensed matter; and investigation of structural transitions and structure-property relationships through practical materials examples.

The goal of 3.044 is to teach cost-effective and sustainable production of solid material with a desired geometry, structure or distribution of structures, and production volume. Toward this end, it is organized around different types of phase transformations which determine the structure in various processes for making materials, in roughly increasing order of entropy change during those transformations: solid heat treatment, liquid-solid processing, fluid behavior, deformation processing, and vapor-solid processing. The course ends with several lectures that place the subject in the context of society at large.

Students investigate the materials properties such as acoustical absorptivity, light reflectivity, thermal conductivity, hardness, and water resistance of various materials. They use sound, light and temperature sensors to collect data on various materials. They practice making design decisions about what materials would be best to use for specific purposes and projects, such as designing houses in certain environments to meet client requirements. After testing, they use the provided/tested materials to design and build model houses to meet client specifications.

Laws of thermodynamics: general formulation and applications to mechanical, electromagnetic and electrochemical systems, solutions, and phase diagrams. Computation of phase diagrams. Statistical thermodynamics and relation between microscopic and macroscopic properties, including ensembles, gases, crystal lattices, phase transitions. Applications to phase stability and properties of mixtures. Computational modeling. Interfaces.

Introduction to the interactions between cells and surfaces of biomaterials. Surface chemistry and physics of selected metals, polymers, and ceramics. Surface characterization methodology. Modification of biomaterials surfaces. Quantitative assays of cell behavior in culture. Biosensors and microarrays. Bulk properties of implants. Acute and chronic response to implanted biomaterials. Topics in biomimetics, drug delivery, and tissue engineering. Laboratory demonstrations.

Examines the ways in which people in ancient and contemporary societies have selected, evaluated, and used materials of nature, transforming them to objects of material culture. Some examples: glass in ancient Egypt and Rome; powerful metals in the Inka empire; rubber processing in ancient Mexico. Explores ideological and aesthetic criteria often influential in materials development. Laboratory/workshop sessions provide hands-on experience with materials discussed in class. Subject complements 3.091. Enrollment may be limited.

Mathematics explained: Here you find videos on various math topics:

Pre-university Calculus (functions, equations, differentiation and integration)
Vector calculus (preparation for mechanics and dynamics courses)
Differential equations, Calculus
Functions of several variables, Calculus
Linear Algebra
Probability and Statistics

Course description: This course provides algebra, quantitative reasoning, and problem solving skills needed in Math 105, 106, 107, and in other college courses in programs not requiring calculus.

This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material.

Scientific computing: Fast Fourier Transform, finite differences, finite elements, spectral method, numerical linear algebra. Complex variables and applications. Initial-value problems: stability or chaos in ordinary differential equations, wave equation versus heat equation, conservation laws and shocks, dissipation and dispersion. Optimization: network flows, linear programming. Includes one computational project.

Topics vary from year to year. Topic for Fall: Eigenvalues of random matrices. How many are real? Why are the spacings so important? Subject covers the mathematics and applications in physics, engineering, computation, and computer science. This course covers algebraic approaches to electromagnetism and nano-photonics. Topics include photonic crystals, waveguides, perturbation theory, diffraction, computational methods, applications to integrated optical devices, and fiber-optic systems. Emphasis is placed on abstract algebraic approaches rather than detailed solutions of partial differential equations, the latter being done by computers.

How do populations grow? How do viruses spread? What is the trajectory of a glider?

Many real-life problems can be described and solved by mathematical models. In this course, you will form a team with another student and work in a project to solve a real-life problem.

You will learn to analyze your chosen problem, formulate it as a mathematical model (containing ordinary differential equations), solve the equations in the model, and validate your results. You will learn how to implement Euler’s method in a Python program.

If needed, you can refine or improve your model, based on your first results. Finally, you will learn how to report your findings in a scientific way.

This course is mainly aimed at Bachelor students from Mathematics, Engineering and Science disciplines. However it will suit anyone who would like to learn how mathematical modeling can solve real-world problems.

Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are to help students:

· Develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting.

· Develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, and counterexamples.

· Develop the ability to read and understand written mathematical proofs.

· Develop talents for creative thinking and problem solving.

· Improve their quality of communication in mathematics. This includes improving writing techniques, reading comprehension, and oral communication in mathematics.

· Better understand the nature of mathematics and its language.

This text also provides students with material that will be needed for their further study of mathematics.

This course provides students with decision theory, estimation, confidence intervals, and hypothesis testing. It introduces large sample theory, asymptotic efficiency of estimates, exponential families, and sequential analysis.

Students apply high school-level differential calculus and physics to the design of two-dimensional roller coasters in which the friction force is considered, as explained in the associated lesson. In a challenge the mirrors real-world engineering, the designed roller coaster paths must be made from at least five differentiable functions that are put together such that the resulting piecewise curving path is differentiable at all points. Once designed mathematically, teams build and test small-sized prototype models of the exact designs using foam pipe wrap insulation as the roller coaster track channel with marbles as the ride carts.