├── LICENSE ├── README.md ├── calculus.pdf ├── cheatsheet-applications.pdf ├── cheatsheet-first-ode.pdf ├── cheatsheet-second-ode.pdf ├── linear-algebra.pdf └── trigonometry.pdf /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2018 Shervine Amidi 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Ordinary Differential Equations cheatsheets for Stanford's CME 102 2 | ## Goal 3 | This repository aims at summing up in the same place all the important notions that are covered in Stanford's CME 102 Ordinary Differential Equations course, and includes: 4 | - **Refreshers** in related topics that highlight the key points of the **mathematical tools needed in the course**. 5 | - **Cheatsheets for ODEs of order 1 and 2**, as well as another one dedicated to their **applications to physical systems**. 6 | 7 | ## Content 8 | #### VIP Cheatsheets 9 | |Illustration|Illustration|Illustration| 10 | |:--:|:--:|:--:| 11 | |First-order ODEs|Second-order ODEs|Applications| 12 | 13 | #### VIP Refreshers 14 | |Illustration|Illustration|Illustration| 15 | |:--:|:--:|:--:| 16 | |Linear Algebra|Calculus|Trigonometry| 17 | 18 | ## Website 19 | This material is also available on a dedicated [website](https://stanford.edu/~shervine/teaching/cme-102), so that you can enjoy reading it from any device. 20 | 21 | ## Authors 22 | [Afshine Amidi](https://twitter.com/afshinea) (Ecole Centrale Paris, MIT) and [Shervine Amidi](https://twitter.com/shervinea) (Ecole Centrale Paris, Stanford University) 23 | -------------------------------------------------------------------------------- /calculus.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/shervinea/stanford-cme-102-ordinary-differential-equations/efcde8847c356ac4f87b66739ea8fa4c77ff9bd3/calculus.pdf -------------------------------------------------------------------------------- /cheatsheet-applications.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/shervinea/stanford-cme-102-ordinary-differential-equations/efcde8847c356ac4f87b66739ea8fa4c77ff9bd3/cheatsheet-applications.pdf -------------------------------------------------------------------------------- /cheatsheet-first-ode.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/shervinea/stanford-cme-102-ordinary-differential-equations/efcde8847c356ac4f87b66739ea8fa4c77ff9bd3/cheatsheet-first-ode.pdf -------------------------------------------------------------------------------- /cheatsheet-second-ode.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/shervinea/stanford-cme-102-ordinary-differential-equations/efcde8847c356ac4f87b66739ea8fa4c77ff9bd3/cheatsheet-second-ode.pdf -------------------------------------------------------------------------------- /linear-algebra.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/shervinea/stanford-cme-102-ordinary-differential-equations/efcde8847c356ac4f87b66739ea8fa4c77ff9bd3/linear-algebra.pdf -------------------------------------------------------------------------------- /trigonometry.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/shervinea/stanford-cme-102-ordinary-differential-equations/efcde8847c356ac4f87b66739ea8fa4c77ff9bd3/trigonometry.pdf --------------------------------------------------------------------------------