Mathematics with Mathematica and Wolfram Alpha
General data
Course ID:  10001M13MWA  Erasmus code / ISCED:  11.1 / (0541) Mathematics 
Course title:  Mathematics with Mathematica and Wolfram Alpha  Name in Polish:  Matematyka z Mathematicą i Wolfram Alpha 
Department:  Faculty of Mathematics, Informatics, and Mechanics  
Course groups: 
Elective courses for 45th grade Mathematics 

ECTS credit allocation (and other scores): 
6.00 view allocation of credits 

Language:  English  
Type of course:  elective monographs 

Prerequisites (description):  Analysis, linear algebra, possibly statistics (depending on the specialization). Basic computer skills. 

Mode:  (in Polish) zdalnie 

Short description: 
Topics: 1. Computers and computations. General overview of Computer Algebra Systems (freeware and licensed). 2. Mathematica and WolframAlpha: basic features, similarities and differences. 3. Fundamentals of Mathematica language: buildin functions, graphics. Examples from algebra and analysis. 4. Examples and problems from different fields of science and their solutions by using Mathematica and WolframAlpha. 5. CDF format. CDF player and its use in WolframAlpha. 6. Examples of making new CDF files by modifying existing demonstrations with Mathematica. 

Full description: 
The classes will be held at MIMUW in the form of blended learing with emphasis on elearning. The students will have access to the computer laboratory, Mathematica and WolframAlpha. The students will receive lecture notes, problems sets and audiovideo materials for selflearning in the computer laboratory (which has Mathematica and internet access). The introductory and final classes (for presentations of the projects) will be held in the computer laboratory. A workshop with a number of invited speakers is planned in midterm. The aim is to show the use of Mathematica in different areas of science, technology and economy. 

Bibliography: 
Mathematica documentation 

Learning outcomes: 
Knowledge. The student knows the fundamentals of the Mathematica language, knows which buildin functions to use to solve standard problems of mathematical analysis, algebra, statistics, differential equations and others. The student knows how solve less common problems by simple programming. The student understands how WolframAlpha functions and how it is related to Mathematica. The student recognizes situations in which the output of computer evaluations must be rechecked by another independent method. Skills. The student will be able to use modern technology to solve mathematical problems. In particular, the student 1. can formulate the content of a theorem from a lecture or a seminar in the form which is useful for symbolic or numeric computations or graphical vizualization; 2. can compute in Mathematica and create interactive graphical visualisations; 3. can expreriment with computations in Mathematica using theoretical facts from lectures or tutorials; 4. can use Mathematica or WolframAlpha to write scientific papers or master, doctor thesis etc; 5. can expand the knowledge by using Mathematica documentation and other sources in the internet. 

Assessment methods and assessment criteria: 
Exam, to test the knowledge and skills acquired during the course and original project in Mathematica utilising learned tools and techniques. 
Classes in period "Winter semester 2016/17" (past)
Time span:  20161001  20170127 
see course schedule 
Type of class: 
Elearning course, 60 hours more information


Coordinators:  Galina Filipuk, Andrzej Kozłowski  
Group instructors:  Galina Filipuk, Andrzej Kozłowski  
Students list:  (inaccessible to you)  
Examination:  Examination 
Classes in period "Summer semester 2017/18" (future)
Time span:  20180218  20180610 
see course schedule 
Type of class: 
Elearning course, 60 hours more information


Coordinators:  Galina Filipuk, Andrzej Kozłowski  
Group instructors:  Galina Filipuk, Andrzej Kozłowski  
Students list:  (inaccessible to you)  
Examination:  Examination 
Copyright by University of Warsaw.