Course Details

Calculus A – MATH 101

Calculus Early Transcendentals – James Stewart

تقديم / مهندس احمد امام

حصل مهندس احمد على بكالوريوس الهندسة بتقدير امتياز مع مرتبة الشرف و اصبح معيدًا في جامعة القاهرة عام ٢٠١٢. خلال رحلته التدريسية التي امتدت الى اكثر من عشر سنوات، تخصص مهندس احمد في تدريس الكثير من المواد، و يعتبره الكثير من الطلاب رمزًا من رموز التدريس و سببًا في تفوقهم و ذلك نظرًا لامكانياته العالية في الشرح و التأسيس.

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Analytic Geometry

2 Chapter 1: Functions and Models

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1.2. Mathematical Models: A Catalog of Essential Functions

1.4. Exponential Functions

1.5. Inverse Functions and Logarithms

3 Chapter 2: Limits and Derivatives

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2.2. The Limit of a Function

2.3. Limit Laws

2.5. Continuity

2.6. Limits at Infinity

2.7. Derivatives and Rates of Change

2.8. The Derivative as a Function

4 Chapter 3: Differentiation Rules

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3.1. Derivatives of Polynomials and Exponential Functions

3.2. The Product and Quotient Rules

3.3. Derivatives of Trigonometric Functions

3.4. The Chain Rule

3.5. Implicit Differentiation

3.6. Derivatives of Logarithmic and Inverse Trigonometric Functions

3.9. Related Rates

3.10. Linearization and Differentials

3.11. Hyperbolic Functions

5 Chapter 4: Applications of Differentiation

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4.1. Maximum and Minimum Values

4.2. The Mean Value Theorem

6 Chapter 5: Integrals

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5.2. The Definite Integral

5.3. The Fundamental Theorem of Calculus

5.4. Indefinite Integrals and the Net Change Theorem

5.5. The Substitution Rule

7 Chapter 6: Applications of Integration

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6.1. Areas Between Curves

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