Effektiv lernen - Lehren mit MATLAB
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Wie bauen Sie in Ihrer Lehrveranstaltung den Lehrstoff und zugehörige Lehrmaterialien in einer Form auf, die die Motivation von Studierenden fördert? In Ingenieurdisziplinen, Natur- und Wirtschaftswissenschaften und Mathematik können Sie theoretische Zusammenhänge im Lehrplan praxisnah vermitteln anhand konkreter Beispiele: mit computergestützten Berechnungen und Simulationen. In diesem Vortrag stellen wir Ihnen Möglichkeiten vor, wie MATLAB® in der Lehre zum Einsatz kommen kann. Der Vortrag war Teil der MATLAB Expo Deutschland am 2. Juli in München. Die Präsentation enthält Videos, die in der Slideshare-Ansicht nicht verfügbar sind.
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Effektiv lernen - Lehren mit MATLAB
- 1. 1 Effektiv Lernen mit MATLAB Dr. Joachim Schlosser
- 2. 3 »Sage es mir, ich vergesse es. Zeige es mir, ich behalte es. Lass es mich tun, ich verstehe. Konfuzius, 551–479 v. Chr. «
- 4. 8 Example: Quick-Return Mechanism At the instant the mechanism is in the configuration shown, determine the angular motion of the slotted link CD, wCD,aCD. Source: Hibbeler, R.C., Engineering Mechanics: Dynamics, 11th edition, Pearson Prentice Hall, NJ, problem 16-141, p. 377.
- 6. 10 Hand Solution Velocity, Acceleration Equations
- 7. 11 Hand Solution: Emphasizes Algebraic Manipulation Multiple coordinate systems Vector algebra Relative- motion equations Many terms to track!
- 8. 12 Symbolic Computing: Algorithmic Solution Implement Fundamental Principles Explore Full Range of Motion Ask & Answer “What if…?”
- 9. 13 Move Programs off the Trade-Off Surface Technical Breadth Technical Depth Feasible Region Current Programs Desired Extended Programs Computational Thinking & Tools
- 15. 19 Computational Paradigms with MATLAB MATLAB Parallel Computing MATLAB Distributed Computing Server Symbolic Math Symbolic SimMechanics Simscape Simulink & Stateflow Modeling & Simulation Statistics Optimization Numeric Simulink or Simscape Blocks MATLAB Functions
- 16. 20
- 17. 23 Wie werden Sie MATLAB in Ihren Veranstaltungen nutzen? www.mathworks.de/academia
Hinweis der Redaktion
- Getting Your Students from “Which Equation?” to “Which Principle?” MATLAB is used for teaching all over the world and in almost all subjects. Do you speak MATLAB in your class?
- Here’s an example from a first course in dynamics that illustrates how the use of computational tools can help us to move off the trade-off curve. This is a mechanism for “Quick-return”. There’s a crank, a slider block, and a slotted link. We can see the quick-return behavior in the animation: slow working stroke; fast return. A typical approach would be to ask the students to analyze the mechanism at one instant in time which quickly reduces this to an algebraic problem. Alternatively looking at the animation we get a quick intuitive feel for how the physics work. In contrast the algebraic approach already feels deficient. Without first studying all the underlying physics, we can use this animation to start building intuition for its behavior. Somehow we need to combine the study of the dynamics with the visual tools to motivate further study…
- Solving this problem by hand focuses a student on Manipulation of relative-motion equations Working with a rotating coordinate systems – not fun! Keeping track of terms – what are they learning here? They’re focusing on lots of bookkeeping rather than understanding the underlying principles
- Solving this problem by hand focuses a student on Manipulation of relative-motion equations Working with a rotating coordinate systems – not fun! Keeping track of terms – what are they learning here? They’re focusing on lots of bookkeeping rather than understanding the underlying principles
- 12
- Math is still the basis. No way to get around. Students need to be able to handle the math.
- Put ideas together, create systematic approach
- Make theory and solutions stick by visualizing them
- Assess the beauty of a solution
- Tackle a problem from different angles and set in relation
- [Builds in Bold] We have talked about symbolic computing and numerical computing. Lets look at some of the available computation paradigms Numerical -> MATLAB Pre-built functionality: Optimization, Statistics, Neural Networks… Symbolic -> Symbolic Math Toolbox Includes a Notebook interface Integrates with MATLAB and our modeling and simulation tools Graphical Modeling and Simulation Simulink – model and simulate systems of equations Simscape – ability to create re-usable modeling components SimX – Specialized modeling for various domains This breadth of tools: Provide flexibility in teaching approaches based on learning objectives and course levels All Paradigms live on and are well integrated with MATLAB Symbolic provides a path to numeric and graphical modeling Modeling and simulation tools can be used in concert with MATLAB – imagine paramater optimizations, Monte Carlo Simulations etc…. Parallel: And when you get to larger or more complex operations or data, or want to run many simulations, we can leverage multiple cores and clusters