محاسبات عددی۹۶

ENGR351

 

باسمه تعالی

دانشگاه اصفهان، دانشکده فنی مهندسی، گروه مکانیک

برنامه درس محاسبات عددی ( کارشناسی)  ( نیمسال دوم  ۹۷ – ۹۶ )

 

نام درس: محاسبات عددی ( کارشناسی)            شماره درس : ۰۱ – ۱۶۷ – ۲۲ – ۲۰      تعداد واحد نظری:  ۲

استاد درس : حامد شهبازی  ( دفتر کار:  اتاق  ۱۵۶  مکانیک، تلفن  ۳۷۹۴۵۶۲۸  و دفتر دانشکده  ۳۷۹۴۲۷۴۶ )

زمان و مکان ارائه درس : شنبه ­ها ۱۸-۱۶      دوشنبه ها ۱۶-۱۴

زمان و مکان رفع اشکال : شنبه­ ها  ۱۶- ۱۴ ( دفتر گروه مکانیک )

سایت درس:  www.hamedshahbazi.ir (مراجعه به  منوی درس ها-محاسبات عددی)

تلگرام:

https://t.me/numerical_ui

تکالیف دانشجو:  حل تمرین‌ و چالش ها، انجام پژوه درسی متلب

نمره نهایی (۲۰ نمره ) شامل: حل تمرین و کوییز (۶ ) ، پروژه درسی ( ۳ ) ،  امتحان میانی ( ۵ ) و امتحان پایانی ( ۶ )

 

 

 

منابع و مراجع:   

۱-   محاسبات عددی(برای دانشجویان علوم و مهندسی) ( اصغر کرایه چیان)

۲-روش های محاسبات عددی (جواد وحیدی)

۳- محاسبات عددی (نیکوکار)

۴-مقدمه ای بر برنامه نویسی متلب و محاسبات عددی برای مهندسین (مسعود پاک نهاد)

 سوال پایان ترم   

 

جلسه

موضوع

۱

آشنایی با مفاهیم بنیادین در محاسبات عددی و کاربرد های آن

۲

مقدمات محاسبات عددی-یاد آوری چند قضیه ریاضی- برنامه نویسی متلب

۳

درون یابی- درون یابی های خطی و چند جمله ای

۴

ادامه مبحث درون یابی- آشنایی با اسپلاین-برنامه نویسی متلب

۵

درون یابی و برازش به کمک تکنیک های هوش مصنوعی

۶

حل معادلات غیر خطی با روش های مختلف

 

جلسه

موضوع

۷

روش نیوتن رافسون و روش وتری-برنامه نویسی متلب

۸

مشتق گیری و انتگرال گیری عددی-حل تمرین و چالش ها

۹

امتحان میان‌ترم

۱۰

ادامه مشتق گیری و انتگرال گیری عددی

۱۱

روش های رامبرگ و گاوس

۱۲

مقدمه ای بر حل عددی معادلات دیفرانسیل

۱۳

 روش های گام به گام حل عددی معادلات دیفرانسیل – روش های پیشرفته

۱۴

روش رانگ-کوتا و چند گامی

۱۵

روش های پیشرفته حل معادلات دیفرانسیل در متلب

۱۶

حل تمرین و چالش های درس

 

 

 

 

1,047 دیدگاه برای “محاسبات عددی۹۶

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