دورة شاملة في التفاضل والتكامل: من الأساسيات إلى التطبيقات

الغربية / مصر
آخر تحديث: 2025-09-20

عن بعد/اونلاين رياضيات | Mathematics

هذه الدورة موجهة لطلاب الثانوية العامة والجامعات وكل من يرغب في إتقان أساسيات التفاضل والتكامل بشكل مبسط ومنظم.
نبدأ م

محتوى الدورة وعدد الدروس:

الوحدة الأولى: الأساسيات (3 دروس)

مراجعة سريعة للجبر والدوال.
مفهوم النهاية والاقتراب.
تعريف المشتقة والاشتقاق من المبادئ.

الوحدة الثانية: قواعد التفاضل (4 دروس)
4. قاعدة الجمع والطرح.
5. قاعدة الضرب والقسمة.
6. قاعدة السلسلة والاقترانات المركبة.
7. التفاضل للدوال المثلثية والأسية واللوغاريتمية.

الوحدة الثالثة: تطبيقات التفاضل (4 دروس)
8. المماسات والميل.
9. القيم العظمى والصغرى والتطبيقات العملية.
10. الرسم البياني باستخدام التفاضل.
11. مسائل تطبيقية متنوعة.

الوحدة الرابعة: أساسيات التكامل (3 دروس)
12. تعريف التكامل غير المحدد.
13. قواعد التكامل الأساسية.
14. التكامل بالتجزئة وبالتعويض.

الوحدة الخامسة: تطبيقات التكامل (3 دروس)
15. حساب المساحات بين المنحنيات.
16. حساب الحجوم باستخدام طرق التكامل.
17. مسائل شاملة + مراجعة نهائية.

⏱️ المدة:

17 درس.
مدة كل درس تقريباً 45 – 60 دقيقة.
مدة الكورس: 5 – 6 أسابيع (مع تدريبات ومراجعة).

محمد القصبي

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