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{{Materia|16|8
|corso1=Matematica
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<p style = "font-size: 20pt;font-family: georgia; text-align: center; color: MidnightBlue">Geometria</p>
<center><big><big>Benvenuti<br> al corso di Geometria!</center>
<p style = "font-size: 9pt;font-family: georgia; text-align: center; color: MidnightBlue">SSD=MAT/03</p>
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{{Avanzamento|25%|materia|3 febbraio 2008}}
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<p style = "font-size: 9pt;font-family: georgia; text-align: center; color: MidnightBlue">[[Image:Crystal Clear action build.png|24px]] Clicca qui per frequentare subito le lezioni. →</p>
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(... continuo dopo ...)
<p style = "font-size: 9pt;font-family: georgia; text-align: center; color: MidnightBlue">Nota: questa pagina è votata per agevolare lo studio e l'apprendimento da parte degli studenti degli argomenti di geometria previsti nel corso di laurea in matematica. In questa materia è dunque possibile trovare argomenti che spaziano dall'algebra astratta, analisi matematica, all'algebra lineare indifferentemente se questi argomenti siano o meno effettivamente facenti parte del ramo della geometria. Se invece ti interessa contribuire allo sviluppo dei contenuti delle aree della geometria, vai al [[Dipartimento:Matematica|Dipartimento di matematica]]. </p>
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[[Image:Nuvola apps edu miscellaneous.png|right]]
===Presentazione===
===Anyone can learn to be a filmmaker===
La geometria (dal greco antico γεωμετρία, composto da γεω, geo = "terra" e μετρία, metria = "misura", tradotto quindi letteralmente come misurazione della terra) è quella parte della scienza matematica che si occupa delle forme nel piano e nello spazio e delle loro mutue relazioni.
;Filmmaking is easy
:Filmmaking is not rocket science. Everything about filmmaking is extremely easy to learn. Anyone can do it if they wish.
In questo corso affronteremo i seguenti argomenti:
;The challenge of learning filmmaking
*[[w:geometria euclidea|'''Geometria euclidea''']], cioè la geometria che si basa sui cinque postulati di Euclide e in particolar modo sul postulato delle parallele.
:The challenge is filmmaking requires learning a huge number of skills. If you want to be an independent filmmaker, you must learn the equivalent of 20 different careers.
*[[w:geometria affine|'''Geometria affine''']], cioè la geometria che tratta essenzialmente quegli argomenti della geometria euclidea che possono essere sviluppati senza l'uso dei concetti di angolo e distanza.
*[[w:geometria analitica|'''Geometria analitica]]''', cioè la geometria che permette di rappresentare rette, piani, ecc.. mediante equazioni analitiche.
Si tratta di una materia di fondamentale importanza che trova spazio in innumerevole applicazioni.
;Telling a story
:In a dramatic motion picture, the story is told by many people. The cinematographer tells the story with the camera. The lighting person tells the story with lighting. The film composer tells the story with music. The actors tell the story with action and dialog. The editor tells the story with editing. The sound effects person tells the story with sound.
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;You have to learn all of this
<center>[[Image:Nuvola_apps_file-manager.png|right]]</center>
:And as an independent filmmaker, you have to learn to all of these skills. If you fail to learn even one of these skills, people will notice and be turned off by your movie. You must learn everything!!!!
==Programma dettagliato==
===Modulo 1===
* '''Strutture algebriche di base''': [[w:dominio (matematica) | dominio]], codominio, [[w:Funzione_%28matematica%29 | funzione]], [[w:Funzione iniettiva | iniettività]], [[w:Funzione suriettiva | suriettività]], campo e sue proprietà.
* [[w:Matrice (matematica) | '''Matrici''']]: operazioni fra matrici (somma e prodotto), matrice nulla, matrice opposta, matrice identica, matrice inversa, matrice invertibile, matrice trasposta, matrice simmetrica, matrice diagonale, matrice scalare.
* '''Spazi vettoriali''': sottoinsieme e sottospazio vettoriale, intersezione, unione, somma, somma diretta, [[w:Formula di Grassmann | Formula di Grassmann]].
* '''Dipendenza lineare''': generatori, famiglie linearmente indipendenti e dipendenti, base, dimensione.
* '''Applicazioni lineari''': nucleo, immagine, antimmagine, [[w:Teorema del rango | teorema delle dimensioni]].
* '''Sistemi lineari e forma canonica della matrice''': Rango di una matrice, operazioni elementari su una matrice, metodo per calcolare la inversa di una matrice, [[w:Teorema di Rouché-Capelli | teorema di Rouché-Capelli]], sistemi di Cramer.
* '''Determinante''': proprietà, [[w:Regola di Sarrus | regola di Sarrus]], formula di Laplace, matrice inversa, sottomatrici, minori.
* '''Geometria analitica nel piano e nello spazio''': rette, piani, fasci di rette e fasci di piani, rette complanari (parallele, coincidenti, incidenti), rette sghembe, distanza punto piano, distanza punto retta, distanza fra rette sghembe, area e volume, relazioni fra rette, relazioni tra retta e piano.
* [[w:Numero complesso | '''Numeri complessi''']]: radici n-sime, rappresentazione trigonometrica, fattorizzazione e radici di un polinomio.
===Modulo 2===
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* '''Relazione fra applicazioni lineari e matrici''': matrice associata, cambiamento di base.
<center>[[Image:Crystal_Clear_app_camera.png]]</center>
* '''Diagonalizzabilità''': [[w:Endomorfismo | endomorfismi]], autovettore e autovalore, autospazi, equazione e polinomio caratteristico, moltiplicità, diagonalizzazione di una matrice, similitudine.
==Film School Preparatory==
* '''Matrici ortogonali''': Prodotto scalare, norma, proiezione ortogonale, ortogonalità, [[w:Ortogonalizzazione di Gram-Schmidt | teorema di Gram-Schmidt]], ortonormalità.
:Wikiversity Film School is a <font color=Purple>'''preparatory school'''</font> for budding filmmakers who plan to go to film school or take classes in motion picture production.
* '''Forme quadratiche''': coniche a centro, matrice associata.
*...
===Modulo 3===
:Each year, USC Film School receives 800 applicants to fill just 50 undergraduate positions.
:We teach you the things that film schools expect you to know '''before''' you get to film school.
==Learning filmmaking software==
;Intel processor
:First, you need to do is learn about the computer software for filmmaking. See below for a list of the software you will need. Most is free!
;Designed for the Macintosh
: The Film Scoring course is designed for Apple's GarageBand with Jam Pack<nowiki>:</nowiki> Symphony Orchestra
:The Film Editing course is designed for Apple's Final Cut Pro or Adobe Premiere.
;Linux
:Where possible, free Linux software is listed.
:However, there is still no standard movie file format for Linux and nothing which matches the quality and usefulness of Apple's GarageBand for film scoring.
:Therefore, Linux is currently not a good choice for filmmakers.
|-
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[[Image:Nuvola apps kwordCrystal_Clear_kdm_user_male.png|right|96px]]
==WhatInformazioni doper wegli do?studenti==
;Make a tiny movie
indicazioni e istruzioni per seguire i corsi.
:In the filmmaking class, we create a short motion picture. It is less than a minute long so it is very simple.
:But before you complete the animatic for the movie, you will also need to learn film [[Course:Fundamentals of narrative film editing |'''editing''']] and film [[Mad Max's Course in Film Scoring for Motion Pictures|'''scoring''']].
|-
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[[Image:3D Universe Percy w cloths 1Books-aj.svg_aj_ashton_01g.png|right|90px96px]]
==Where to start?Risorse==
libri, link e cose del genere.
;Filmmaking, editing, and scoring
:Budding filmmakers should start with the basic [[Course:WikiU_Film_School_Course_01_-_Learning_the_Basics_of_Filmmaking|'''filmmaking course''']]. For the [[Lesson:Formatting the script|'''first lesson''']], you will format a very short motion picture script. After that, take the [[LessonPage:Thumbnail Storyboard Pop Quiz | pop quiz]] where you tell me how you would begin to film this scene.
:If you want to be a film composer (but you are not a musician), screen writer, or a film editor, you can go directly to the courses in [[Course:Fundamentals of narrative film editing |film editing]] or [[Mad Max's Course in Film Scoring for Motion Pictures|film scoring]] or the [[Course:Basic Filmmaking for High School Drama Departments|script writing exercise]].
:If you are a musician who wants to be a film composer, [[Film scoring for Musicians|click here]].
|}
<p style = "font-size: 9pt;font-family: georgia; text-align: center; color: MidnightBlue">NoteNota: Thesesebbene courseslo arestudente designedsia forlibero thedi Macintoshgestire computer.<br>PCil Worldproprio Magazineslavoro says,come "Theritiene fastestpiù Windowsopportuno, Vistaquesto notebookcorso we'veè testedpensato thisper yearoccupare (throughnon 10/25/07)più isdi a3-4 Mac.<br>Atmesi 6.6per pounds and just 1 inch thick, the MacBook Pro is the lightest 17-inch notebook availablemodulo."<br>Your instructor says, "Starting in 2008, if you are going to buy a new Windows PC, you might as well get a Macintosh.
</p>
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==Cost==
;Lessons
:These filmmaking courses are '''free'''. The only requirement is you submit your homework assignments so others can benefit. (see right)
;The disks
:Currently, the disks are on '''loan''' from the instructor. You have one month before you must '''return''' each disk.
;Software
:I always try to select programs which are <font color="Green">'''free'''</font>.
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==Sharing your work==
;Your homework assignments
:Your completed assignments must be submitted under the Free Documentation License or as Public Domain.
:This allows what you have learned to be shared by others.
|}
----
<p style = "font-size: 18pt;font-family: georgia; text-align: center; color: MidnightBlue">Corso di Geometria</p>
<p style = "font-size: 12pt;font-family: georgia; text-align: center; color: MidnightBlue">Free Software used at Wikiversity Film School</p>
----
----
<a name="lezioni">Ciao</a>
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[[Image:Crystal Clear app package.png|right|128px]]
==<font color="Green">'''Free'''</font> Filmmaking Software at Wikivesity Film School==
:There is some of free software used at Wikiversity Film School. Sometimes, this software is demo versions or simplified versions of software but this is good enough to complete these lessons. Using <font color="Green">'''free'''</font> software, you can learn a tremendous amount about filmmaking.
|-
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[[ImageImmagine:FrameForge SBTDS Screen ShotNuvola_apps_edu_miscellaneous.png|right|260px]]
<p style = "font-size: 16pt;font-family: georgia; text-align: center; color: MidnightBlue">FrameForgeInizio 3Dlezioni Studiodel Freecorso Demodi VersionGeometria</p>
:Ricordiamo che se si è interessati a contribuire regolarmente allo sviluppo dei contenuti matematici, fare riferimento al [[Dipartimento:Matematica|dipartimento di matematica.]]
;Basic filmmaking (pre-production)
:The heart of the Wikiversity Film School's basic filmmaking course (pre-production) is [http://www.frameforge3d.com/download.php '''FrameForge 3D Studio 2 Demo Version''']. This is the most educational program used at Wikiversity Film School. And the demo version is <font color="Green">'''free'''</font> for both the Macintosh and Windows operating system.
:This program simulates the motion picture camera, the movie set, and the actors. The program is useful for experimenting with the different lenses on your motion picture camera. And the final output of FrameForge 3D Studio 2 Demo Version is completely frame accurate (including depth of field effects) ready to give your cinematographer for creating all the shots of your movie.
:The <font color="Green">'''free'''</font> demo version is limited to 20 uses. Other limitations apply. However, this is more than enough to complete your assignments at Wikiversity Film School. Download this '''free''' program today and begin learning how to use it.
----
'''Modulo 1'''
#[[Insiemi e relazioni|Insiemi e relazioni]]
[[Image:GarageBand Musical Typing.jpg|260px|right]]
#...
<p style = "font-size: 16pt;font-family: georgia; text-align: center; color: MidnightBlue">Apple's GarageBand</p>
;Film Scoring
:All film scoring lessons at Wikiversity Film School is done using Apple's GarageBand which is <font color="Green">'''free'''</font> with each new Macintosh PC.
:Starting in 2008, if you are going to by a PC, you might as well purchase a Macintosh PC.
:You will also need the musical instruments of the symphony orchestra. Some sources of musical software instruments of the symphony orchestra are <font color="Green">'''free'''</font> (such as the packages from Boldt) and some are not. I recommend Apple's Jam Pack:Symphony Orchestra. I have not tried Apple's new Jam Pack for voices which might also be useful.
:*Filmmakers should <font color="OrangeRed">'''NOT'''</font> use Apple's Logic 7 which is poorly designed and exceedingly awkward.
----
'''Modulo 2'''
#...
[[Image:The Assignment Screen Shot.png|right|140px]]
<p style = "font-size: 16pt;font-family: georgia; text-align: center; color: MidnightBlue">Film Dailies</p>
;Film Editing
:The filmmaking, film editing and film scoring courses use disks from the Star Movie Shop. The Star Movie Shop is no longer open to the public.
:Fortunately, your instructor still has some of the disks so he can '''loan''' the disks to you. You must '''return''' the disks after one month.
:This is the real thing. The disks contain unedited scenes from television dramas for editing and scoring on the Macintosh computer. Requires QuickTime. Files can be converted to other formats for Windows using additional software (not provided.)
:Except for the actual film dailies, all the contents of these disks is distrubuted under the NGU Open Source Document License.
----
;Animation
:Starting in 2009, Wikiversity Film School will have a simple course in 3D animation. This will use the <font color="Green">'''free'''</font> programs of DAZ Studio and Bryce 5.5.
: If you have Poser and Vue, you can use those programs but they are not free.
:DAZ Studio and Bryce take time to learn so if you are interested in working with 3D, you should download these <font color="Green">'''free'''</font> programs and begin to learn them.
----
[[Image:ArtRage2Chalk100.jpg|right|200px]]
;Other useful programs
:*ArtRage2 <font color="Green">Free</font> is used for matte painting and creating the movie poster. This is a simple and fun artistic painting program. Feels very natural. Extremely useful. If you need any kind of digital painting with traditional artist materials, this is your first choice. This is the <font color="Green">'''free'''</font> version which is fully working but more limited than the full version which is also remarkably inexpensive.
:* GIMP is a <font color="Green">'''free'''</font> paint program comparable to Adobe Photoshop. Surprisingly mature program but definitely not to the level of Photoshop. Requires X-11. If you do not have Adobe Photoshop 4 or later, this program is absolutely necessary for some of the classes at Wikiversity Film School.
:*Audacity is a <font color="Green">'''free'''</font> useful utility for working with audio and converting audio to OGG files. It is a bit awkward but it is free.
:* Tux Paint is a <font color="Green">'''free'''</font> fun paint program for kids. It has the added advantage of using rubber stamps and creating matte paintings easily. Has the unique feature of doing rough storyboards with special storyboard artwork. Also useful for one of the lessons about learning matte painting at Wikiversity Film School for kids.
|}
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[[Image:Crystal Clear app korganizerCrystal_Clear_app_kghostview.png|128px|right]]
<p style = "font-size: 16pt;font-family: georgia; text-align: center; color: MidnightBlue">Esami</p>
==Where to begin?==
È possibile (e fortemente consigliato) valutare la propria preparazione attraverso questi esami virtuali suddivisi per modulo. È inoltre possibile scegliere se sostenere l'esame "semestrale" o l'esame "annuale".
:*If you want to become a filmmaker, go to the '''[[Course:WikiU Film School Course 01 - Learning the Basics of Filmmaking| Basic Filmmaking Course]]'''. [[Image:Nuvola apps aktion.png|32px]]
----
:*Later, when you are ready, you can begin to '''[[Course:Fundamentals of narrative film editing |Learn Film Editing]]'''. [[Image:Crystal Clear mimetype video.png|32px]]
'''Esami del modulo 1'''
*[[/esame240308|Esame 240308]]
:*And finally, for the most important lessons of all which is film scoring
----
::* '''[[Mad Max's Course in Film Scoring for Motion Pictures| Film Scoring For Filmmakers]]''' [[Image:Crystal Clear app knotify.png|32px]]
::::or
|}
::*'''[[Film scoring for Musicians|Film Scoring for Musicians]]'''. [[Image:Crystal Clear app mp3.png|32px]]
<!--
{{Contact your instructor: Filmmaking|page={{PAGENAME}}}}
==Spazi Vettoriali==
#[[Geometria lineare nello spazio]]
==Under 18==
#[[Vettori]]
:If you are under 18 years old, you should ask your parents to contact me for more information. Parent should {{email|user=Robert_Elliott|subject=To Wikiversity Film School from a parent|text=click here}}. [[Image:Crystal Clear app xfmail.png|32px]]
-->
|}
<!-- <center><small>[[Film school:site map|site map]] · [[Film school:Completed Homework Assignments|homework]]</small></center> -->
[[en:Geometry]]
==External links==
[[es:Geometría]]
;Not for these lessons
[[fr:Département:Géométrie]]
:As far as I know, currently none of the programs listed below is compatible with the disks used in these lessons. -- ''Robert Elliott, your Instructor''
:* [http://www.musix.org.ar/en/index.html Musix] - A multimedia Linux distro (music and video)
:* [http://jahshaka.org/ Jashaka] - comprehensive open source player and editor - "Powering the new Hollywood"
:* [http://www.virtualdub.org/ VirtualDub] - Open source nonlinear editor with recent release
:* [http://directory.fsf.org/category/vmanip/ FSF] - list of free video editing tools
:* [http://fixounet.free.fr/avidemux/ Avidemux] - open source video editor
[[Category:Media]]
[[Category:{{PAGENAME}}| ]]
[[Category:Narrative Film Editing]]
[[Category:Filmmaking]]
[[Category:Filmmaking in the Drama Department]]
[[Category:Mad Max Film Scoring]]
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