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Mathematics with Mathematica and Wolfram Alpha

General data

Course ID: 1000-1M13MWA 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 4-5th 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 Wolfram|Alpha: basic features, similarities and differences.

3. Fundamentals of Mathematica language: build-in functions, graphics. Examples from algebra and analysis.

4. Examples and problems from different fields of science and their solutions by using Mathematica and Wolfram|Alpha.

5. CDF format. CDF player and its use in Wolfram|Alpha.

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 e-learning. The students will have access to the computer laboratory, Mathematica and Wolfram|Alpha. The students will receive lecture notes, problems sets and audio-video materials for self-learning 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 mid-term. 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 build-in 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 Wolfram|Alpha functions and how it is related to Mathematica. The student recognizes situations in which the output of computer evaluations must be re-checked 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 Wolfram|Alpha 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: 2016-10-01 - 2017-01-27
Choosen plan division:


magnify
see course schedule
Type of class: E-learning 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: 2018-02-18 - 2018-06-10
Choosen plan division:


magnify
see course schedule
Type of class: E-learning course, 60 hours more information
Coordinators: Galina Filipuk, Andrzej Kozłowski
Group instructors: Galina Filipuk, Andrzej Kozłowski
Students list: (inaccessible to you)
Examination: Examination
Course descriptions are protected by copyright.
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