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erasmus [2020/03/05 07:36] (aktuální)
Řádek 1: Řádek 1:
 +<markdown>
 +Mathematics
 +===========
 +
 +This is a webpage for Erasmus students of Mathematics, Spring 2017.
 +
 +There are no lectures in the semester. Just regular consultations, typically on Monday, see the schedule below.
 +
 +
 +
 +Literature 
 +----------
 +- Literature authored by Gilbert Strang
 +  * [Linear algebra](http://math.mit.edu/~gs/linearalgebra/)
 +  * [Calculus](https://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/)
 +- Literature authored by Robert Mařík (precalculus, calculus, polynomials)
 +  * Paper-friendly textbook ([PDF](angl/paper.pdf), approx 90 pages)
 +  * Shortened version of textbook ([PDF](angl/short_math.pdf), approx 20 pages)
 +  * Screen-friendly textbook ([PDF](angl/screen.pdf))
 +  * [Presentations, real world applications, solved problems, quizzes](frvs/index.html)
 +- Literature authored by Simona Fišnarová (integral calculus, linear algebra)
 +  *   [Home page](http://user.mendelu.cz/fisnarov/?page=3)
 +- Khan academy
 +  * [linear algebra](https://www.khanacademy.org/math/linear-algebra)
 +  * [calculus in one variable](https://www.khanacademy.org/math/calculus-home/taking-derivatives-calc)
 +  * [integral calculus](https://www.khanacademy.org/math/integral-calculus)
 +
 +Homeworks
 +---------
 +
 +* Homeworks are [here](http://user.mendelu.cz/marik/erasmus/hw/)
 +* You have to finish one homework every week. 
 +* There will be short discussion about upcomming homework on meetings on Tuesday 9:00. We will meet in my office (building B, the last floor, left part of the building, at the very end of the corridor)
 +* If there will be mistakes in your homework, you have to fix the mistakes within a week.
 +
 +
 +Schedule
 +--------
 +
 +* March 6, 9:00: deadline for [Homework 1](http://user.mendelu.cz/marik/erasmus/hw/hw1.pdf), discussion on Homework 2
 +* March 14, 9:00: deadline for [Homework 2](http://user.mendelu.cz/marik/erasmus/hw/hw2.pdf), discussion on Homework 3
 +* March 21, 9:00: deadline for [Homework 3](http://user.mendelu.cz/marik/erasmus/hw/hw3.pdf), discussion on Homework 4
 +* March 28, 9:00: deadline for [Homework 4](http://user.mendelu.cz/marik/erasmus/hw/hw4.pdf), discussion on Homework 5
 +* April 4, 9:00,  deadline for [Homework 5](http://user.mendelu.cz/marik/erasmus/hw/hw5.pdf), discussion on Homework 6
 +* April 11, 9:00,  deadline for [Homework 6](http://user.mendelu.cz/marik/erasmus/hw/hw6.pdf), discussion on Homework 7
 +* April 18, 9:00,  deadline for [Homework 7](http://user.mendelu.cz/marik/erasmus/hw/hw7.pdf), final discussion
 +* The week from April 24: the first term for written exam
 +* The week from May 1: the second and third term for written exam, if necessary
 +
 +Exams 
 +-----
 +* Friday, April 24, 13:00, Room B32 (3rd floor)
 +* **Friday, May 5, 13:00, Room B44 (4th floor)**
 +* The exam (60 min., formulas for derivatives and integrals are allowed):
 +  1. Computing problem in linear algebra (determinant or inverse matrix or linear system using elimination or linear system using the inverse matrix)
 +  2. Theory in linear algebra (topics covered in homeworks or close to homeworks)
 +  1. Computing problem in calculus (find the derivative, find the tangent, find the linear approximation, find local minima and maxima, find iteration formula for Newton-Raphson method, related rates problem)
 +  2. Theory in calculus (topics covered in homeworks or close to homeworks)
 +  1. Computing problem in integral calculus (indefinite integral by formulas or by parts, definite integral, mean value)
 +  2. Theory in integral calculus (topics covered in homeworks or close to homeworks)
 +* Passing is 40% on exam and all homeworks finished
 +
 +
 +Links to in-browser computer algebra systems
 +-------------------------------------------
 +
 +* [Wolfram Alpha](http://wolframalpha.com) with [tutorial](http://user.mendelu.cz/marik/wa)
 +  * [Tangent, linear approximation](y=2+3*ln(x) tangent at x=1)
 +  * [Derivative](http://www.wolframalpha.com/input/?i=differentiate+y*cos(y)%5E2)
 +* [Sagecell](http://sagecell.sagemath.org/) - an in browser Sage worksheet
 +  * [vector linear combination example](http://sagecell.sagemath.org/?z=eJxLtC1LTS7JL9KINtQx0jGO1eTlSkIS0oWKJSPEDHVMzXR0zS1AwrxcpbZGWonaplpJuoZaySCB4oz8co1STQA2zRbT&lang=sage)
 +  * [matrix multiplication example](http://sagecell.sagemath.org/?z=eJxztM1NLCnKrNCIjjbUMdIxjtWJNtIx1DEE0gZA2ig2VpOXywlZkQFY0lBHFyQLUm0MFACp4uUqzsgv13DUhDKcYAxHLTjTScsRSWWckbZjnLGuEVAQAH3FInc=&lang=sage)
 +  * [rank example](http://sagecell.sagemath.org/?z=eJxztM1NLCnKrNCIjjbUMdIxjtWJNtIx1DEE0gZA2ig2VpOXywlZkQFY0lBHFyQLUg1kGIOV8XIVZ-SXazhqQhlFiXnZQB5CxglFxgkkAwB7AyEd&lang=sage)
 +  * [determinant example](http://sagecell.sagemath.org/?z=eJxztM1NLCnKrNCIjjbUMdIxjtWJNtIx1DEE0gZA2ig2VpOXywlZkQFY0lBHFyQLUg1kGIOVFdiWJRZpqBeoA9nOCC0FCC0F6Fp4uYoz8ss1HDWhjJTUEiAHIeGELOGEJOGMLOGsqZdaUZCYl6KhqZeWmFySX6QBUgoA5QE6Jg==&lang=sage)
 +* [Maxima](http://user.mendelu.cz/marik/yamwi/index.php?in=A%3Amatrix(%5B1%2C2%2C3%5D%2C%5B0%2C1%2Cp%5D%2C%5Bp%2C3%2C2%5D)%3B%0Adeterminant(A)%3B%0Asolve(determinant(A)%3D0%2Cp)%3B%0A%0AB%3Amatrix(%5B1%2C2%2C3%5D%2C%5B2%2C1%2C2%5D%2C%5B1%2C3%2C2%5D)%3B%0Aechelon(B)%3B%0Arank(B)%3B)
 +* [Mathematical Assistant on Web](http://user.mendelu.cz/marik/maw)
 +  * [Bisection](http://um.mendelu.cz/maw-html/index.php?lang=en&form=bisection)
 +  * [Newton - Raphson](http://um.mendelu.cz/maw-html/index.php?lang=en&form=newton)
 +  * [Derivatives](http://um.mendelu.cz/maw-html/index.php?lang=en&form=derivace)
 +
 +
 +</markdown>
  
erasmus.txt · Poslední úprava: 2020/03/05 07:36 (upraveno mimo DokuWiki)

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