عن المادة
This course focuses on the fundamentals of differential calculus, emphasizing limits, continuity, and derivatives of algebraic and transcendental functions. The aim is to build geometric intuition for differentiation and apply these concepts to real-world problems
ماذا ستتعلم من هذه الدورة التدريبية
Evaluate limits (including using L’Hôpital’s Rule) and assess continuity/differentiability.
Differentiate a wide range of functions using core rules (product, quotient, chain, implicit).
Use derivatives to sketch graphs and find extreme values.
Apply calculus concepts to real-world problems (related rates, optimization).
محتوى المادة
1.4: Exponential Functions
1.5: 1 Inverse Functions
1.5: The natural logarithm, Inverse trigonometric functions
1.5: Logarithmic Functions
Major 251
Sample 1
Sample 2
Sample 3
2.2: The limit of a function
2.2: Infinte Limits_ Vertical Asymptotes
2.3: Limit Laws
2.3: 2 Limit Laws2
2.3: Solving Limits Questions
2.3:The Squeeze Theorem
2.5: Continuity
2.5: Properties of Continuous Functions
2.5: Continuity Theorems
2.5: The Intermediate Value Theorem
2.6: Limits at Infinity
2.7: Derivatives and Rates of change
2.7: The Tangent Line
2.8: The Derivative as a Function
2.8: Differentiability
3.1: Derivatives of Polynomials and Exponential Functions
3.1: Sum and Difference Rule
3.1: Derivative of the Natural Exponential Function
3.2: The Product Rule
3.2: The Quotient Rule
3.2: Exercises
3.3: Derivatives of Trigonometric Functions
3.3: Special Trigonometric Limits
3.3: Exercises
3.5: Implicit Differentiation
Sample 1
sample 2
sample 3
عن الشارح
طالب هندسة برمجيات، مهتم بالرياضيات وعلوم الحاسب النظرية. الأول على قسم هندسة البرمجيات في الفصل السابق. مهمتي تبسيط المادة للطلاب باختلاف مستوياتهم ومساعدتهم على تحقيق أعلى الدرجات بعد توفيق الله. حصلت على A+ في جميع المواد التي أشرحها بحمد الله.
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