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Bac Sec 2 (Medicine) — Maths, Egyptian Baccalaureate: syllabus

The lessons in book order, one card per unit. Open any lesson that has an episode if you have access; locked lessons are greyed out.

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Term 1

Chapter 1: Algebraic proofs

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  1. Binomial and multinomial theorems

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  2. Polynomial division

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  3. Rational expressions

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  4. Identities and proofs

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  5. Inequalities

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Chapter 2: Sequences

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  1. Arithmetic sequences

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  2. Geometric sequences

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  3. Summation

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  4. Advanced sequences

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  5. Recurrence relations and induction

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Chapter 3: Complex numbers and equations

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  1. Complex numbers

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  2. Quadratic equations

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  3. Higher-degree equations (incl. remainder/factor theorems)

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Chapter 4: Geometry and equations

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  1. Coordinate geometry basics

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  2. Triangles and lines

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  3. Circles

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Term 2

Chapter 5: Trigonometric functions

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  1. Defining angles and basic trigonometric functions

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  2. Trigonometric identities and expression evaluation

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  3. Properties and graphs of trigonometric functions

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  4. Solving equations and inequalities involving trigonometric functions

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  5. Advanced theorems and applications

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Chapter 6: Exponents and logarithms

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  1. Laws of exponents and roots

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  2. Exponential functions and their applications

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  3. Introduction to logarithms and their properties

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  4. Applications of logarithms

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Chapter 7: Differentiation and integration

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  1. Fundamentals of calculus (limits and derivatives)

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  2. Differentiation: techniques and applications

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  3. Applications of differentiation: polynomial functions

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  4. Integration: definite integrals and applications

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  5. Applications of integration to geometry (areas)

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Chapter 8: Statistical inference

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  1. Fundamentals of random variables

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  2. Expected value and variance of multiple random variables

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