Theoretical Mechanics IPSP

Jürgen Vollmer, Universität Leipzig

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sage:mechanics-workshop

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sage:mechanics-workshop [2020/11/28 19:30] – [Plotting Functions] jvsage:mechanics-workshop [2022/09/29 17:56] (current) – [Solutions for Exercises] jv
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 | [[sage:plot:explore-trigonometric|Explore trigonometric functions]] |exploring parameters by sliders | {{ :sage:plot:p03_explore-trigonometric-functions.ipynb.zip | Notebook (1.8kB) }} | | [[sage:plot:explore-trigonometric|Explore trigonometric functions]] |exploring parameters by sliders | {{ :sage:plot:p03_explore-trigonometric-functions.ipynb.zip | Notebook (1.8kB) }} |
 | [[sage:plot:animate-cycloids|Animations for cycloids and curtate trochoids]] |**intro:** interactive plots and animations | {{ :sage:plot:p04_animate-cycloids.ipynb.zip | Notebook (3.9kB)}} | | [[sage:plot:animate-cycloids|Animations for cycloids and curtate trochoids]] |**intro:** interactive plots and animations | {{ :sage:plot:p04_animate-cycloids.ipynb.zip | Notebook (3.9kB)}} |
-| [[https://www.physik.uni-leipzig.de/~vollmer/Teach/Sage/guess-function-parameters.html|Guess function parameters]] | provide parameters in text fields, checkboxes | {{ :sage:guess-function-parameters.ipynb.zip | Notebook (2.1kB) }} |+| [[https://www.physik.uni-leipzig.de/~vollmer/Teach/Sage/guess-function-parameters.html|Guess function parameters]] | provide parameters in text fields, checkboxes | {{ sage:plot:guess-function-parameters.ipynb.zip | Notebook (2.1kB) }} |
  
 ==== Derivatives and Taylor series ==== ==== Derivatives and Taylor series ====
  
 ^ aim ^ Sage features ^ download  ^ ^ aim ^ Sage features ^ download  ^
-| [[https://www.physik.uni-leipzig.de/~vollmer/Teach/Sage/derivaties-Taylor-series.html|Determine derivatives and Taylor series]] | providing functions and parameters in text boxes, pretty-print expression to screen | {{ :sage:derivaties-Taylor-series.ipynb.zip | Notebook (1.6kB) }} |+| [[sage:derivative:derivatives-of-functions|Derivatives of functions]] | **intro:** determine the derivatives of a function, \\ define your own functions | {{ sage:derivative:d01_derivaties-of-functions.ipynb.zip | Notebook (1.6kB) }} | 
 +| [[https://www.physik.uni-leipzig.de/~vollmer/Teach/Sage/derivaties-Taylor-series.html|Determine derivatives and Taylor series]] | providing functions and parameters in text boxes, pretty-print expression to screen | {{ sage:derivative:derivaties-taylor-series.ipynb.zip | Notebook (1.6kB) }} |
  
  
  
-==== Solutions for Exercises ==== +==== Analyzing EOM ====
  
-  * [[solution:01:circledrawing|1.2 Challenges in drawing circles]] +^ aim ^ Sage features ^ download 
-  [[problem:03:retroreflector-paths|3.3 Retroreflector paths on bike wheels]]+[[sage:eom:exploring-eom|Exploring the solutions]] | numerical solution of ODEs, evolution in phase space, direction field | {{ sage:eom:e01_explore-1d-eom.ipynb.zip Notebook (1.8kB) }} | 
 +[[sage:eom:math-pendulum|Mathematical Pendulum]] | mathematical pendulum: evolution in phase space, direction field | {{ sage:eom:eom02_math-pendulum.ipynb.zip | Notebook (2.3kB) }} | 
 + 
 + 
 + 
 +<wrap hide> 
 +==== Solutions for Exercises ==== 
  
 +After the submission deadline the links to worksheets with solutions of selected exercises will be published here.
  
 +  * [[sheet:wise2020.21:solution:01:02_circle-drawing|1.2 Challenges in drawing circles]]
 +  * [[sheet:wise2020.21:problem:03:03_retroreflector-paths|3.3 Retroreflector paths on bike wheels]]
 +  * [[sheet:wise2020.21:solution:04:02_gradient-contour|4.2 Contour lines and gradients]]
 +  * [[sheet:wise2020.21:solution:04:03_phase-space-dynamics|4.3 Dynamics in phase space]]
 +  * [[sheet:wise2020.21:solution:06:03_rising-air-bubble|6.3 Bubbles rising in a fluid]]
 +</wrap>
  
sage/mechanics-workshop.1606588252.txt.gz · Last modified: 2020/11/28 19:30 by jv