علوم

Linear

2 Modules 5 Chapters 51 Lessons Intermediate

ِعَنِ المَادَة

مادة الجبر الخطي هي مادة تُعطى في قسم الرياضيات، وهي فرع من فروع الرياضيات تهتم بدراسة المتجهات والفضاءات المتجهية، والأنظمة والتحويلات الخطية، وسنتعامل فيها كثيرا مع المصفوفات.
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الِمنْهَاج

1 Lesson

Material supplies

المصادر

5 Chapters

Linear

Chapter 1 10 Lessons

Introduction - sec 1.1

Section 1.2

Section 1.3

Section 1.4

Section 1.5

Section 1.6

Section 1.7

Composition & Decomposition of functions

Inverse functions part 1

Inverse functions part 2

CH2: Limits and Derivatives 10 Lessons

Section 2.1

Rules of limits

Squeez theorem

Asymptotes

Limits at infinity 1

Limits at infinity 2

Continuity

Discontinuity

The Intermediate Value Theorem

Derivatives

CH3: Differentiation Rule 15 Lessons

Introduction to Differentiation

Differentiation Rules part 1

Differentiation Rules part 2

Higher order derivatives

Limits and Derivatives

The Chain Rule

Implicit Differentiation

Tangent line & Normal line

Tangent line & Normal line 2

Derivative of inverse functions

Derivatives of inverse trigonometric functions

Linear Approximation 1

Linear Approximation 2

Hyperbolic Functions 1

Hyperbolic Functions 2

CH4: Application of differentiation 8 Lessons

Maximum and minimum values 1

Maximum and minimum values 2

Absolute maximum and minimum

Mean Value Theorem

Increasing and Decreasing 1

Increasing and Decreasing 2

Concavity

Graph of f(x)&f'(x)

CH5: Integrals 7 Lessons

Introduction

Definite Integral

Indefinit Integral

Fundamental Theorem of Calculus

Area

The Substitution Rule 1

The Substitution Rule 2

Pen