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Rahuls99

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Rahuls99 last won the day on June 12 2016

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  1. Macsome iTunes Converter 2.3.4 MacOSX | 32.79 MB Macsome iTunes Converter can easily convert DRM protected audio files to unprotected MP3, AAC formats playable on any iPod, iPod Touch, iPhone, Zune, PSP, Creative Zen and other MP3 players with 5X higher conversion speed and CD quality. The iTunes Music Converter is used to convert all the iTunes music or other audio files which could be played on iTunes. The conversion is 20X speed faster, and the output could be CD quality. It's all-in-one tool to convert M4P to MP3, convert protected or unprotected Audiobook, convert iTunes Match Music to MP3 , convert Apple Music to MP3 and convert AAC to MP3. It is a powerful, yet simple audio conversion tool to bypass DRM control with 5X recording and encoding to MP3 method. With batch conversion, the software plays protected music tracks silently in the background and records audio files with top digital quality at speeds up to 5x. Convert any iTunes M4P to MP3 No matter what format the audio files is, if it could be played on iTunes, the software is able to convert them to MP3 or AAC format for you. So it's also a M4P / AA to MP3 converter. Support Apple Music files It is also an Apple Music Converter used to convert any Apple Music files to MP3 / AAC format and remove DRM from Apple Music files. Very Fast Converting Speed The recording speed is upto 20X faster than playback speed. And the output file will be encoded while recording. So the conversion process is really fast! Convert iTunes audios to MP3 Any audio files from your music library, you can convert them to MP3 format and then play them anywhere. Remove DRM protection on Audible AA, M4P Macsome iTunes Converting tool can remove DRM from protected M4P, AA, AAC and convert to unprotected MP3. The DRM protection will be removed at the same time. Keep ID Tags Information After the M4P conversion, the ID Tags information will be preserved in output MP3 or AAC files. No extra disk space needed It encodes to MP3 or AAC while recording, so there is no need extra disk space to save temporary files. The Output is CD Quality There is almost no lossless quality as the primary audio files, and the output quality is almost as the CD quality. Support Batch Conversion You may select several playlist or several audio files to convert at the same time. Then click "Convert" button to start converting. What you need to do is just wait for the result of conversion. Silent Recording We mute iTunes while converting. No Extra Hardware or Vitual Drive Needed The software won't install any virtual drive, and needn't any extra hardware. You just install it on your Mac, then start your conversion. No Limitation of Converting Times Music tracks or audio book you purchased have the burning times limitation, but no limitation of play it on your iTunes. So, you can convert them as many times as you want Compatibility: OS X 10.9 or later 64-bit Home Page - http://www.macsome.com/itunes-converter-mac/index.html Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/D24f640683f86B26/ml0ly.rar Download ( NitroFlare ) http://nitroflare.com/view/F262D0512AE5351/ml0ly.rar Download ( Rapidgator ) http://rapidgator.net/file/47fd75630c4faac97d5aefcfdd135a0b/ml0ly.rar.html
  2. BetterTouchTool 2.310 (687) MacOSX | 16.6 MB BetterTouchTool is a great, feature packed app that allows you to configure many gestures for your Magic Mouse (1 & 2), Macbook Trackpad and Magic Trackpad (1 & 2) and also Mouse Gestures for normal mice. It also allows you to configure actions for keyboard shortcuts, normal mice buttons and the Apple Remote. Magic Mouse: * Pinch in / out (zoom) * single-finger tap left * single-finger tap right * single-finger tap middle * single-finger tap * single-finger click middle * two-finger tap * two-finger click * two-finger swipe (up/down/left/right) * two-finger tip tap left/right * three-finger tap * three-finger click * three-finger swipe (up/down/left/right) * four-finger swipe up/down * four-finger click * TipTap left/right Touchpad: * single-finger tap top-left * single-finger tap top-right * single-finger tap top-middle * single-finger tap bottom-left * single-finger tap bottom-right * single-finger tap bottom-middle * single-finger tap left-middle * single-finger tap right-middle * two-finger tip tap left/right * three-finger swipes (up/down/left/right) * three-finger tap * three-finger click * four-finger swipes (up/down/left/right) * four-finger tap * five-finger tap * five-finger swipe up/down/left/right (see FAQ) * TipTap * two-finger TipTap * three-finger TipTap Mac Platform: Intel, 64-bit processor OS X 10.10 or later Home Page - https://www.boastr.net/ Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/58a3e368eAe8086b/n0264.rar Download ( NitroFlare ) http://nitroflare.com/view/A9BC6B7FD5C7BEB/n0264.rar Download ( Rapidgator ) http://rapidgator.net/file/dad2a9d0d7b73ec2b0b4c06e934309cc/n0264.rar.html
  3. form-Z Pro version 8.6.0 | 174.5 mb form*Z pro is a powerful 3D design application featuring a variety of modeling personalities and tools with an easy to use interface to express and communicate your imagination. It is based on advanced 3D solid and surface modeling methods that maintain accurate representations as you progress from design to visualization, layout, animation and fabrication. form*Z pro includes all of the features found in form*Z Jr plus many advanced modeling tools, STEP and IGES translators, animation, layout, network rendering and interface customization. form*Z pro 8 is the latest version that introduces subdivision modeling as yet another modeling personality that enables the quick design and exploration of organic forms that originate from basic shapes. These forms are easily manipulated using a suite of subdivision tools that empower this new personality. HomePage - http://www.formz.com/products/formzpro.html System Requirements: Windows 7 (x64) or newer Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/0af55c36e093f024/rnmra.rar Download ( NitroFlare ) http://nitroflare.com/view/A9106F891716D73/rnmra.rar Download ( Rapidgator ) http://rapidgator.net/file/793ffae831bb5b4c43ed38a0925449f4/rnmra.rar.html
  4. Kobo Converter 3.17.1023.393 | 64.6 Mb Kobo Converter is tools to convert Kobo Desktop ebook file to PDF, Kindle, Word, Text and Html format file, user download ebook in Kobo Desktop App, convert DRM kepub file to other format with 1-Click. it is award-winning and a "must-have" tool for all eBook reader. 100% safe with no adware, spyware, or viruses. Feature Remove Kobo kepub DRM Protection. Convert Kobo kepub file to PDF/Text/RTF/HTML format. Easy to use, 1-click converter. Operating System: Windows 7, 8/8.1, 10 Home Page - http://www.ebook-converter.com/kobo-converter.htm Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/e98113420dB04D74/ssf8w.rar Download ( NitroFlare ) http://nitroflare.com/view/7E14FD71F8AEFAE/ssf8w.rar Download ( Rapidgator ) http://rapidgator.net/file/9bdd0e36a3ce0b93e82129f10a5c3e58/ssf8w.rar.html
  5. Kindle Converter 3.17.1023.380 | 65 Mb Kindle Converter easily convert Kindle DRM / DRM-free ebook to PDF ePub Word formats. user can view Kindle ebook on other computer or device, user also can print Kindle ebook without DRM limitation, it support Kindle DRM file downloaded in Kindle for Pc and nodrm mobi files, convert to PDF ePUB Word Text Html format file with 1-click, read your purchased Kindle ebooks in any device. Key Features - easy use, drag-drop support, One-click converter. - support Kindle DRM ebook downloaded from Kindle for Pc. - Output format support PDF ePub, WORD rtf, HTML, Text. - High quality conversion, no quality loss. Operating System: Windows 7, 8/8.1, 10 Home Page - http://www.ebook-converter.com Visit All My News Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/9304c2d421dae686/1r3yb.rar Download ( NitroFlare ) http://nitroflare.com/view/533D120FAEBE7A3/1r3yb.rar Download ( Rapidgator ) http://rapidgator.net/file/7bc8b5cf9bf2e5d8d9c8a38e903e1053/1r3yb.rar.html
  6. ePub Converter 3.17.1023.377 | 64.8 Mb ePub Converter is powerful tools to convert DRM or noDRM ePub to PDF, Kindle, Word, Text and Html format file, it support both Adobe Digital Editions DRM and Barnes Noble NOOK DRM ebook, it also support ebook purchased from Google Play, Sony eBook Store, Kobo ebook store and ebook download in Adobe digital editions, it support ePub and PDF format file, it is the most easy-to-use eBook conversion software ever, decrypt DRM protection and convert ePub to PDF, Mobi, rtf, txt and html format with 1-click. it is award-winning and a "must-have" tool for all eBook reader. 100% safe with no adware, spyware, or viruses. Support all DRM ebooks download in Adobe Digital Editions Support purchased ebooks in Google Play,Sony ebook store, Kobo ebook store, Public library ePub PDF acsm files. Support DRM / noDRM ePub PDF ebooks Integrate both DRM decryption and format conversion features, remove protection and conversion with 1-click, read your purchased ebook in any device anywhere. Auto Import eBook Library Import Adobe digital editions, Barnes & Noble, Nook, Sony books automatically. Features: Decrypt and convert Adobe digital editions, Barnes & Noble NOOK eBook. Support Adobe ADE, NOOK DRM protection. Support Google ebook, Kobo eBook, Sony eBook. Support Public library eBook. Convert eBook to PDF, ePub,Kindle, Word, HTML, Text Easy to use, 1-click converter. Apple ibooks itunes ebook NOT supported. Operating System: Windows 7, 8/8.1, 10 Home Page - https://www.ebook-converter.com/epub-converter.htm Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/841ef0cbF9Ec4b09/fcr5m.rar Download ( NitroFlare ) http://nitroflare.com/view/8C914F5C303B220/fcr5m.rar Download ( Rapidgator ) http://rapidgator.net/file/92e2d27f87e714159c5f500901e155b5/fcr5m.rar.html
  7. eBook Converter Bundle 3.17.1023.410 | 64.9 Mb eBook Converter Bundle is tools decrypt and convert eBooks purchased from Kindle, Nook, Google Play, Sony, Kobo and other online eBook stores in batch with 1-click. it is the most easy-to-use eBook conversion software ever, convert ebook to PDF / ePub / Kindle / Word / Html / Text format with 1-click, it is award-winning and a "must-have" tool for all eBook reader. 100% safe with no adware, spyware, or viruses. Feature * Decrypt and convert Kindle,Adobe digital editions, NOOK eBook. * Support Kindle,Adobe ADE, NOOK DRM protection. * Support Google ebook, Kobo eBook, Sony eBook. * Support Public library eBook. * Convert eBook to PDF, ePub,Kindle, Word, HTML, Text * Easy to use, 1-click converter. Operating System: Windows 7, 8/8.1, 10 Home Page - http://www.ebook-converter.com/ Visit All My News Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/6902DF7C177eC28a/x5gvg.rar Download ( NitroFlare ) http://nitroflare.com/view/0A8B1C607B7F27F/x5gvg.rar Download ( Rapidgator ) http://rapidgator.net/file/b15831875e8ed3e6d8d2caa5ea39e701/x5gvg.rar.html
  8. SILKYPIX Developer Studio Pro 8E 8.0.13 | macOS | 322 mb SILKYPIX Developer Studio Pro is a powerful image editor that aims to provide more features than regular digital image manipulators. Furthermore, SILKYPIX Developer Studio Pro uses a highly advanced raw engine that will help you to polish your DSLR images to the max. In addition, SILKYPIX Developer Studio Pro also provides an easy way to control the path from the picture to the image With "SILKYPIX RAW Bridge" available only on SILKYPIX Pro8, JPEGs and TIFFs are expanded to 16 bits, so even JPEG and TIFF images can be adjusted to a high degree of image quality with less image degradation. Compatibility: OS X 10.7 or later Homepage: https://silkypix.isl.co.jp/en/product/dsp8/ Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/4a11e5bbd146ae44/har30.rar Download ( NitroFlare ) http://nitroflare.com/view/CC76D0E58BA68AB/har30.rar Download ( Rapidgator ) http://rapidgator.net/file/cae2d0a81be236a07015e964660a6664/har30.rar.html
  9. Scrutiny 7.6.1 MacOSX | 8.79 MB Scrutiny - program to test and improve the quality of a site's ranking in search engines. Scrutiny check your image, your internal and external links, generate XML / HTML / .csv / .dot sitemap for submission to search engines, check your tags and make the necessary checks SEO (Eng. Search engine optimization, SEO - a set of measures to raise the site positions in search engine results), such as the page title, headings, meta description and keywords. Features: >> Check references >> SEO analysis >> The sitemap >> Test the speed of loading pages >> HTML validation >> spellchecking >> Control website as many URL, as you like with the choice of alerts and logging >> planning - it's easy with a few simple clicks (the old method of using iCal will continue to work >> at the finish - to send a letter, save the report, open a file or program applescript file sitemap XML files via FTP and other actions >> Open and view a list of links in HTML, text or XML-Sitemap (automatically detected) >> fast, flexible, user-friendly >> support for Retina displays Requirements : OS X 10.8 or Later Home Page - http://peacockmedia.software/mac/scrutiny/ Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/54a30b684a7e9cC8/vklqf.rar Download ( NitroFlare ) http://nitroflare.com/view/AFD35A082D14A78/vklqf.rar Download ( Rapidgator ) http://rapidgator.net/file/c0c7f1c9a03cbf99fc0c3b05991161f4/vklqf.rar.html
  10. ControllerMate v4.10.3 MacOSX | 22.10 MB ControllerMate is a controller programming tool that allows custom functionality to be added to standard HID devices (joysticks, trackballs, gamepads, keyboards, and more). Using a graphical interface and drag-and-drop editing, users can program controller buttons to perform complex keyboard and mouse sequences. Programming is accomplished using "building blocks". Each type of building block performs a different type of function. Building blocks can be individually configured and linked together to perform an endless variety of tasks. ControllerMate building blocks are triggered by controls on devices or MIDI messages. Each type of building block performs a small task. Building blocks can be combined to perform complex functions. ControllerMate now includes more than 70 types of building blocks! Some building blocks respond directly to controls on devices. Others perform logic, math, or timing. Yet other blocks trigger activity on ControllerMate's virtual mouse or keyboard, perform AppleScripts, open files, or launch applications. The possibilities are virtually limitless. Common programming tasks that can be performed with ControllerMate include: Configuring controller buttons to act like individual keyboard keys Configuring controller buttons to generate simple text Configuring controller axes to act like mouse axes Assigning an AppleScript to a controller button Redefining keyboard keys Assigning a custom acceleration curve to a mouse Reconfigure drivers Driver configurations can be used to change the default behavior of a keyboard or mouse that uses ControllerMate's driver. All buttons on a keyboard have some default function or another. Most are useful, some are not. A driver configuration allows one button on a keyboard act like another, or can turn a button off completely. Buttons that have been turned off can still be used to trigger building blocks. A driver configuration for a mouse can include a custom acceleration curve. This curve can be one of the standard curves, a standard curve with an adjusted speed or sensitivity, or an entirely custom curve created point by point. Multiple configurations can be created for the same keyboard or mouse - use building blocks to control when a configuration is active. MIDI in, MIDI out MIDI messages can now trigger building blocks just as easily as buttons on a joystick, mouse, or keypad. MIDI notes, controller values, or patch changes can be used. ControllerMate can also create and send MIDI messages through a virtual MIDI source. This allows generic input devices to be used to control applications that listen to ControllerMate's virtual MIDI source. Virtual devices ControllerMate can create virtual mouse, tablet, and joystick devices that are controlled by ControllerMate programming. The virtual devices are seen by most other applications just as though they were actual devices. Every move that a virtual device makes is controlled using ControllerMate's building blocks and driver configurations. Out of sight, never out of reach ControllerMate includes a helper application that runs in the background, monitors the attached controllers, and performs the current programming when the ControllerMate application is not running. After you have finished setting up your building blocks and driver configurations, quit the ControllerMate application and the background application takes over. No graphics, no user interface, no unnecessary processor cycles. Compatible with (Mac OSX) 10.9, 10.8, 10.7, and 10.6 (64-bit) Home Page - http://www.orderedbytes.com/controllermate/ Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/c6Bf4339A60F1829/2n1o1.rar Download ( NitroFlare ) http://nitroflare.com/view/B80EDE92317EA1A/2n1o1.rar Download ( Rapidgator ) http://rapidgator.net/file/40b580ef331fbceaba55e7ca4764fdd0/2n1o1.rar.html
  11. BBEdit 12.0.1 MacOSX | 13.53 MB BBEdit is the leading professional HTML and text editor for the Macintosh. Specifically crafted in response to the needs of Web authors and software developers, this award-winning product provides an abundance of high-performance features for editing, searching, and manipulation of text. access to BBEdit's best-of-class features, including grep pattern matching, search and replace across multiple files, project definition tools, function navigation and syntax coloring for numerous source code languages, code folding, FTP and SFTP open and save, AppleScript, (Mac OSX) Unix scripting support, text and code completion, and of course a complete set of robust HTML markup tools. With BBEdit you can: - Exercise Total Control Over Text - Work YOUR Way - Command Files, Folders, Disks, and Servers - Enjoy Textual Omnipotence - Live Up To Standards - Integrate Smoothly Into Existing Workflows Note: Now requires OS X 10.11.6 or later. Compatibility: OS X 10.11.6 or later, 64-bit processor Home Page - http://www.barebones.com/products/bbedit/ Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/2ed82b234D4fdf44/yenjs.rar Download ( NitroFlare ) http://nitroflare.com/view/4A7C857C109138A/yenjs.rar Download ( Rapidgator ) http://rapidgator.net/file/84937cf53dda80919960e37e6c0b2bb2/yenjs.rar.html
  12. Web Security - Common Vulnerabilities And Their Mitigation MP4 | Video: AVC 1920x1080 | Audio: AAC 48KHz 2ch | Duration: 8 Hours | 16.7 GB Genre: eLearning | Language: English Coat your website with armor, protect yourself against the most common threats and vulnerabilities. Understand, with examples, how common security attacks work and how to mitigate them. Learn secure practices to keep your website users safe. Let's parse that. How do common security attacks work?: This course walks you through an entire range of web application security attacks, XSS, XSRF, Session Hijacking, Direct Object Reference and a whole lot more. How do we mitigate them?: Mitigating security risks is a web developer's core job. Learn by example how you can prevent script injection, use secure tokens to mitigate XSRF, manage sessions and cookies, sanitize and validate input, manage credentials safely using hashing and encryption etc. What secure practices to follow?: See what modern browsers have to offer for protection and risk mitigation, how you can limit the surface area you expose in your site. Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/99Badf33d953B750/glyha.part01.rar https://uploadgig.com/file/download/4b0c6e1244Fe7638/glyha.part02.rar https://uploadgig.com/file/download/0A7374FdA989db65/glyha.part03.rar https://uploadgig.com/file/download/12ebe779E1baCB83/glyha.part04.rar https://uploadgig.com/file/download/af044250552D26dA/glyha.part05.rar Download ( NitroFlare ) http://nitroflare.com/view/88594767C83360C/glyha.part01.rar http://nitroflare.com/view/F915B1F9218E717/glyha.part02.rar http://nitroflare.com/view/318E511FF714288/glyha.part03.rar http://nitroflare.com/view/B4E292F06616A0D/glyha.part04.rar http://nitroflare.com/view/DC14F6F3A03ED90/glyha.part05.rar Download ( Rapidgator ) http://rapidgator.net/file/8ef2d0889724ebcb053bacabbfc463c5/glyha.part01.rar.html http://rapidgator.net/file/c72ec9e1007abdf0d8c2cb0a68b516a8/glyha.part02.rar.html http://rapidgator.net/file/783b6f9a865c3ccc6e6b247690cefe90/glyha.part03.rar.html http://rapidgator.net/file/77f4328ac89a88556d6e966f77bbc2db/glyha.part04.rar.html http://rapidgator.net/file/2e43d42e3234a786edbfe39870fb8d33/glyha.part05.rar.html
  13. Upgrading Your ASP.NET Core 1.x Web API to 2.0 MP4 | Video: AVC 1280x720 | Audio: AAC 44KHz 2ch | Duration: 1.5 Hours | 246 MB Genre: eLearning | Language: English ASP.NET Core 2 incorporates a few important changes and new features. This course will teach you how to upgrade your existing web API, built with ASP.NET Core 1.x, to ASP.NET Core 2.0. ASP.NET Core has been updated to a 2.0 version and has many differences that will be covered here. In this course, Upgrading Your ASP.NET Core 1.x Web API to 2.0, you'll learn how to upgrade your existing web API, built with ASP.NET Core 1.x, to ASP.NET Core 2.0. First, you'll discover what these changes are and how .NET Core 2.0, the .NET Standard 2.0, and ASP.NET Core 2.0 are related. Next, you'll explore how to upgrade your existing project files and references to support new features like the run-time store. Finally, you'll learn about what you can change in regards to your code to make use of new ASP.NET Core 2.0 functionality. After this course, your existing ASP.NET Core 1.x web API will be fully upgraded to ASP.NET Core 2.0. Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/0152119a96461104/a1f6m.rar Download ( NitroFlare ) http://nitroflare.com/view/4B9D029BE202B8D/a1f6m.rar Download ( Rapidgator ) http://rapidgator.net/file/1f6b6cbf08bb933dd4b85c05296d1d38/a1f6m.rar.html
  14. The Secret to Your Painting's Success MP4 | Video: AVC 1280x720 | Audio: AAC 44KHz 2ch | Duration: 1 Hours | Lec: 10 | 451 MB Genre: eLearning | Language: English How Making a Great Start to Your Painting Ensures Successful Completion Do you find that your paintings seldom finish off looking good? Or do you abandon your painting halfway because nothing is looking right? Scraping back the paint in frustration only to abandon the painting is annoying. Not to mention a waste of time and money. The solution in many cases is what you do even before you begin painting. It is all about the preparation and start where the real outcome is usually determined. Any professional will tell you that there are a thousand ways to paint your picture and ruin it too. But most agree that getting the painting off to a great start is critical Step One That is why I decided to create this short course with a focus on the start. This course is based on part of my Learn to Impact Master Course. The latter has much more detail should you want to take your learning to the next level. The Secret to Your Painting Success will give you much information and practical tips that you can try out now with your next painting. Make that step up in your painting before moving onto more complicated techniques. You will need the following materials: The primary colors and white (oils or acrylics) A canvas or painting panel Brushes - #6 bristle Medium or white spirits Paper towel Pencil and A5 sketchbook Black marker pen (thick wedge shaped tip) I look forward to meeting you on the course! Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me [b]Download (Uploadgig)[/b] https://uploadgig.com/file/download/d9D6d108acfd9AdF/khfq6.rar Download ( NitroFlare ) http://nitroflare.com/view/49C4F82D46BBC8D/khfq6.rar Download ( Rapidgator ) http://rapidgator.net/file/d9039d8f21da6c7b91b8fd5d471baf6f/khfq6.rar.html
  15. TTC Video - Mastering Differential Equations: The Visual Method Course No. 1452 | .M4V, AVC, 1500 kbps, 640x480 | English, AAC, 128 kbps, 2 Ch | 24x30 mins | + PDF Guidebook | 7.74 GB Lecturer: Robert L. Devaney, Ph.D. For centuries, differential equations have been the key to unlocking nature's deepest secrets. Over 300 years ago, Isaac Newton invented differential equations to understand the problem of motion, and he developed calculus in order to solve differential equations. Since then, differential equations have been the essential tool for analyzing the process of change, whether in physics, engineering, biology, or any other field where it's important to predict how something behaves over time. The pinnacle of a mathematics education, differential equations assume a basic knowledge of calculus, and they have traditionally required the rote memorization of a vast "cookbook" of formulas and specialized tricks needed to find explicit solutions. Even then, most problems involving differential equations had to be simplified, often in unrealistic ways; and a huge number of equations defied solution at all using these techniques. But that was before computers revolutionized the field, extending the reach of differential equations into previously unexplored areas and allowing solutions to be approximated and displayed in easy-to-grasp computer graphics. For the first time, a method exists that can start a committed learner on the road to mastering this beautiful application of the ideas and techniques of calculus. Mastering Differential Equations: The Visual Method takes you on this amazing mathematical journey in 24 intellectually stimulating and visually engaging half-hour lectures taught by a pioneer of the visual approach, Professor Robert L. Devaney of Boston University, coauthor of one of the most widely used textbooks on ordinary differential equations. Differential Equations without Drudgery A firm believer that there is no excuse for drudgery in a subject as fascinating as differential equations, Professor Devaney draws on the power of the computer to explore solutions visually. Throughout these graphics-intensive lectures, you investigate the geometric behavior of differential equations, seeing how the computer can calculate approximate solutions with as much precision as needed. And you may be surprised to learn how easily you can calculate and display approximate solutions yourself, even using nothing more than an ordinary spreadsheet. Best of all, the visual method means that unrealistic simplifications need not be applied to a problem. Among those who will benefit from the exciting approach in Mastering Differential Equations are college students currently enrolled in a differential equations course, who want the enriching perspective of a leader in the visual approach to the subject; anyone who has completed calculus, is ready to take the next step, and is eager to see how the tools of calculus are applied to give startling insights into nature; those who took differential equations in the past and would like a refresher course, especially one that shows today's revolutionary new tools for demystifying and extending the reach of the subject; anyone who finds math exciting, is up for a challenge, and wants a new window into the elegantly simple structure at the heart of nature's most complex phenomena. Beautiful Ideas plus Amazing Applications Differential equations involve velocity, acceleration, growth rates, and other quantities that can be interpreted by derivatives, which are a fundamental concept of calculus. Often expressed with utmost simplicity and mathematical elegance, differential equations underlie some of nature's most intriguing phenomena: The first and most famous differential equation is Isaac Newton's second law of motion (F = ma), which relates force, mass, and acceleration, allowing the velocity and position of an accelerating object to be determined at any point in time. The Lorenz differential equation for modeling weather describes the behavior of the atmosphere in terms of a single fluid particle, showing how nature's inherent chaos can be modeled with surprisingly simple mathematics. Differential equations have been used to model the catastrophic behavior of the Tacoma Narrows Bridge, which famously collapsed in 1940, and London's Millennium Bridge, which appeared headed for the same fate before it was quickly closed for modifications in 2000. The precipitous drop in the North Atlantic haddock population can be understood as the bifurcation point in a differential equation, in which a slight change in one parameter-the harvesting rate-produces a drastic effect on population growth. These and countless other applications illustrate the unrivaled ability of differential equations to stop time and sharpen our view into the past and future-a power that has grown enormously with advances in computer technology, as you explore in depth in this course. A Taste of 21st-Century Mathematics Each of the four sections of Mastering Differential Equations begins with a phenomenon that can be modeled with differential equations. As you probe deeper, fundamental ideas (the derivative, integral, and vector field) and other relevant tools from calculus are introduced, along with new mathematics, including four lectures on linear algebra and five lectures on chaos theory. In the first section, you cover first-order differential equations, which involve only the first derivative of the missing function being sought as a solution. When possible, you solve the equations analytically, while making use of a wide range of visual tools, including slope fields, phase lines, and bifurcation diagrams. You also learn how computers use a simple algorithm to generate approximate solutions-and how these techniques can sometimes fail, often due to chaos. In the second section, you turn to second-order differential equations-those that involve both the first and second derivatives. Using the mass-spring system from physics as a model, you learn that solutions are relatively straightforward as long as the mass-spring system is not forced. But when periodic forcing occurs, much more complicated behaviors arise. In the third section, you focus on systems of differential equations, starting with linear systems and the techniques of linear algebra, which are pivotal for solving such problems. Then you shift to nonlinear systems, investigating competing species, oscillating chemical reactions, and the Lorenz system of weather modeling-which led to the famous "butterfly effect," one of the ideas that spawned chaos theory. The final section goes deeper into chaos theory, introducing you to the cutting-edge field of dynamical systems, whose development has exploded, thanks to the rise of visual methods. Here you focus on iterated functions, also known as difference equations. Using the logistic population model from biology, you learn to analyze and understand the sudden appearance of chaos. Then you move onto the complex plane to graph the visually stunning chaos that emerges in such fractal forms as the Mandelbrot set, taking you into realms of cutting-edge mathematics. The winner of many teaching honors, including the prestigious Deborah and Franklin Tepper Haimo Award for Distinguished University Teaching from the Mathematical Association of America, Professor Devaney is especially excited about the modern mathematics that he brings to this course. Just a few years ago, he notes, students studying differential equations seldom ventured beyond 18th-century mathematics. But Mastering Differential Equations guides you into the 21st century, showing how this deceptively simple tool-the differential equation-continues to give surprising and spectacular insights into both the world of mathematics and the workings of the universe. 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