Pure Math – S2 -scientific – Abdullah Nasr – موقع الخطة التعليمى

شرح شامل – المنهج بالكامل 7 المواضيع

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Introduction – Algebra – Revision

Introduction – Calculus – Revision

Introduction – Trigonometry – Revision

شرح شامل – Algebra – Unit 1

شرح شامل – Algebra – Unit 2

شرح شامل – Calculus

شرح شامل – Trignometry

نماذج شاملة 5 المواضيع

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Introduction – Mathematics 1 موضوع

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Introduction

October Exam 1 اختبار الدرس كعينة

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Exam

November Exam 2 المواضيع | 1 اختبار الدرس كعينة

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Algebra November Revision (Part 1)

Calculus November Revision (Part 1)

Exam

Lecture 1 (Part1) – Trigonometry – The sine rule 3 المواضيع | 1 اختبار الدرس كعينة

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Introduction lecture 1

1- the sine rule

2- Examples on the sine rule

Homework on lecture 1

Lecture 1 (Part2) – Diverse book questions + Homework answer Lecture 1 2 المواضيع الدرس كعينة

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Lecrure 2 (Part1) – Trigonometry – The cosine rule 4 المواضيع | 1 اختبار الدرس كعينة

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Introduction to Lecture 2

1- The cosine rule

2- Examples on the cosine rule – Part 1

3- Examples on the cosine rule – Part 2

Homework on lecture 2

Lecture 2 (Part2) – Diverse book questions + Homework answer Lecture 2 2 المواضيع الدرس كعينة

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Lecrure 3 (Part1) – Trigonometry – Solution of the triangle 3 المواضيع | 1 اختبار

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Introduction to Lecture 3

1- cases of solution of triangle

2- The Ambiguous case

Homework on lecture 3

Lecture 3 (Part2) – Diverse book questions + Homework answer Lecture 3 3 المواضيع

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Lecture 5 (Part1) – Algebra – Real functions (Determination the domain and range – Discuss the monotony) 7 المواضيع | 1 اختبار

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Introduction to Lecture 5

Pre-requirements on unit one

Real function Ex. 1,2

Identifying the domain of the function Part 1

Identifying the domain of the function Part 2

Identifying the domain and the range of the function from its graph

Discussing the monotony of a function from its graph

Homework on lecture 5

Lecture 5 (Part2) – Diverse book questions + Homework answer Lecture 5 2 المواضيع

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Lecture 6 (Part1) – Algebra – Operations on functions – Composition of functions 5 المواضيع | 1 اختبار

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Introduction to Lecture 6

Operations on functions Ex. 1,2

Operations on functions part 2

Composition of functions part 1

Composition of functions (the domain) part 2

Homework on lecture 6

Lecture 6 (Part2) – Diverse book questions + Homework answer Lecture 6 2 المواضيع

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Lecture 7 (Part1) – Algebra – Some properties of functions ( even and odd functions / one-to-one functions) 5 المواضيع | 1 اختبار

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Introduction to Lecture 7

even and odd functions part 1

even and odd functions part 2

even and odd functions part 3

One-to-one functions

Homework on lecture 7

Lecture 7 (Part2) – Diverse book questions + Homework answer Lecture 7 2 المواضيع

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Lecture 8 (Part1) – Algebra – Graphical representation of basic functions and graphing piecewise functions 5 المواضيع | 1 اختبار

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Introduction to Lecture 8

Representing the linear function

Grapging the quadratic function

Grapging the piecewise function

The basic forms of some functions

Homework on lecture 8

Lecture 8 (Part2) – Diverse book questions + Homework answer Lecture 8 2 المواضيع

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Lecture 9 (Part1) – Algebra – Geometrical transformations of basic function curves 7 المواضيع | 1 اختبار

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Introduction to Lecture 9

Vertical and horizontal translation of the function curve art 1

Vertical and horizontal translation of the function curve part 2

Vertical and horizontal translation of the function curve part 3

Reflection of the Function curve in X-axis Ex. 5

Streching of the function curve Ex. 6

More ideas on Vertical and horizontal translation of the function curve part 2

Homework on lecture 9

Lecture 9 (Part2) – Diverse book questions + Homework answer Lecture 9 2 المواضيع

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Lecture 10 (Part1) – Algebra – Solving absolute value equations and inequalities 7 المواضيع | 1 اختبار

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Introduction to Lecture 10

Solving absolute value equations par 1

Solving absolute value equations par 2

Solving absolute value equations par 3

Solving absolute value inequalities part 1

Solving absolute value inequalities part 2

Solving absolute value inequalities part 3

Homework on lecture 10

Lecture 10 (Part2) – Diverse book questions + Homework answer Lecture 10 2 المواضيع

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Lecture 12 (Part1) – Algebra – Rational Exponents and exponential equations 5 المواضيع | 1 اختبار

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Introduction to Lecture 12

“The n-th root & Rational exponents & Exponential rules part 1”

“The n-th root & Rational exponents & Exponential rules part 2”

Exponential Equations part 1

Exponential Equations part 2

Homework on lecture 12

Lecture 12 (Part2) – Diverse book questions + Homework answer Lecture 12 2 المواضيع

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Lecture 13 (Part1) – Algebra – Exponential function and its applications 5 المواضيع | 1 اختبار

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Introduction to Lecture 13

Definition & Graphical representation

Some geometric transformation of exponential function Ex. 3,4

“Solving the exponential equations grapgically Ex. 5,6,7,8”

Life applications

Homework on lecture 13

Lecture 13 (Part2) – Diverse book questions + Homework answer Lecture 13 2 المواضيع

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Lecture 14 (Part1) – Algebra – The Inverse function 5 المواضيع | 1 اختبار

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Introduction to Lecture 14

definition

Properties of the inverse function part 1

Properties of the inverse function part 2

Remark & Ex. 10

Homework on lecture 14

Lecture 14 (Part2) – Diverse book questions + Homework answer Lecture 14 2 المواضيع

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Lecture 15 (Part1) – Algebra – Logarithmic function and its graph 7 المواضيع | 1 اختبار

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Introduction to Lecture 15

Definition & Remarks

The relation between the exponential and logarithmic functions

“Grapgical representation of the logarithmic function Ex. 1,2”

“Grapgical representation of the logarithmic function Ex. 3,4,5”

“Grapgical representation of the logarithmic function Ex. 6,7”

“Grapgical representation of the logarithmic function Ex. 8,9”

Homework on lecture 15

Lecture 15 (Part2) – Diverse book questions + Homework answer Lecture 15 2 المواضيع

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Lecture 16 (Part1) – Algebra – Some properties of logarithms 6 المواضيع | 1 اختبار

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Introduction to Lecture 16

Some properties of logarithms

Examples on logarithmic functions part 1

Examples on logarithmic functions part 2

Examples on logarithmic functions part 3

Examples on logarithmic functions part 4

Homework on lecture 16

Lecture 16 (Part2) – Diverse book questions + Homework answer Lecture 16 2 المواضيع

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Lecture 18 (Part1) – Calculus – Introduction to limits of functions “Evaluation of the limit numerically and graphically 3 المواضيع | 1 اختبار

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Introduction to Lecture 18

Specified , unspecified and undefined quantities & The concept of limits of a function at a point

Ex. 1,2,3

Homework on lecture 18

Lecture 18 (Part2) – Diverse book questions + Homework answer Lecture 18 2 المواضيع

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Lecture 19 (Part1) – Calculus – Finding the limit of a function algebraically 3 المواضيع | 1 اختبار

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Introduction to Lecture 19

Theorems (1),(2) Ex.

more examples on previous theorems

Homework on lecture 19

Lecture 19 (Part2) – Diverse book questions + Homework answer Lecture 19 3 المواضيع

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Lecture 20 (Part1) – Calculus – Theorem (4) “The law” 4 المواضيع | 1 اختبار

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Introduction to Lecture 20

Theorem (4) part 1

Theorem (4) part 2

Theorem (4) part 3

Homework on lecture 20

Lecture 20 (Part2) – Diverse book questions + Homework answer Lecture 20 2 المواضيع

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Lecture 21 (Part1) – Calculus – limit of the function at infinity 4 المواضيع | 1 اختبار

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Introduction to Lecture 21

limit of the function at infinty

Getting the limit of a rational function at infinty

More examples on Getting the limit of a rational function at infinty

Homework on lecture 21

Lecture 21 (Part2) – Diverse book questions + Homework answer Lecture 21 2 المواضيع

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Lecture 22 (Part1) – Calculus – Limits of trigonometric functions 4 المواضيع | 1 اختبار

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Introduction to Lecture 22

Theorem & Ex. 1

more examples part 1

more examples part 2

Homework on lecture 22

Lecture 22 (Part2) – Diverse book questions + Homework answer Lecture 22 2 المواضيع

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Lecture 23 (Part1) – Calculus – Existence of the limit of a piecewise function 5 المواضيع | 1 اختبار

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Introduction to Lecture 23

Definition & Ex. 1,2

more examples on defintion

The limit of the function defined on an interval at one of its terminals Ex.7,8

The limit of the function defined on an interval at one of its terminals Ex. 9,10,11,12

Homework on lecture 23

Lecture 23 (Part2) – Diverse book questions + Homework answer Lecture 23 2 المواضيع

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Lecture 24 (Part1) – Calculus – Continuity 6 المواضيع | 1 اختبار

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Introduction to Lecture 24

Continuity of a function at a point ( Definition )

Remark & Ex. 5,6,7

Continuity of a function on an interval part 1

Continuity of a function on an interval part 2

Continuity of a function on an interval part 3

Homework on lecture 24

Lecture 24 (Part2) – Diverse book questions + Homework answer Lecture 24 2 المواضيع

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Lecture 1 (Part1) – Calculus – Rate Of Change. 3 المواضيع | 1 اختبار

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Introduction to Lecture 1

1 – Definition EX.1,2,3

2 – more examples EX.4,5,6,7

Homework on lecture 1

Lecture 1 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 2 (Part1) – Calculus – Differentiation 4 المواضيع | 1 اختبار

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Introduction to Lecture 2

1 – Definition EX.1,2

2 – Differentiability Of a Function At a Point EX. 3,4,5

3 – more examples EX.6,7,8,9,10

Homework on lecture 2

Lecture 2 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 3 (Part1) – Calculus – Rules Of Differentiation 4 المواضيع | 1 اختبار

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Introduction to Lecture 3

1 – Rules Of Differentiation EX.1,2

2 – Derivative Of The Product Of Two Functions EX.3,4

3 – Derivative Of The Quotient Of Two Functions EX.5,6,7

Homework on lecture 3

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Lecture 4 (Part1) – Calculus – Derivative Of Composite Function (Chain Rule) 4 المواضيع | 1 اختبار

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Introduction to Lecture 4

1 – Theorem EX.1,2,3

2 – Remark EX.4,5

3 – Corollary EX.6,7,8,9

Homework on lecture 4

Lecture 4 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 5 (Part1) – Algebra – Sequences 4 المواضيع | 1 اختبار

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Introduction to Lecture 5

1 – Definition EX.1

2 – General Term Of a Sequence EX.2,3

3 – Increasing – decreasing – Constant Sequences EX.4,5

Homework on lecture 5

Lecture 5 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 6 (Part1) – Algebra – Sequences 3 المواضيع | 1 اختبار

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Introduction to Lecture 6

1 – Definition EX.1,2,3

2 – The Series EX.4,5,6,7

Homework on lecture 6

Lecture 6 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 7 (Part1) – Algebra – Arithmetic Sequense 5 المواضيع | 1 اختبار

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Introduction to Lecture 7

1 – Definition EX.1,2,3

2 – The General Term Of The Arithetic Sequence EX.4,5,6,7,8

3 – Identifying The Arithmetic Sequence EX.9,10,11,12,13

4 – Arithmetic Means EX.14,15,16,17

Homework on lecture 7

Lecture 7 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 8 (Part1) – Algebra – Arithmetic Series 5 المواضيع | 1 اختبار

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Introduction to Lecture 8

1 – Definition EX.1,2,3,4

2 – Remarks EX.5,6,7,8

3 – more examples EX.9,10,11,12

4 – more examples EX.13,14,15,16,17

Homework on lecture 8

Lecture 8 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 9 (Part1) – Algebra – Geometric Sequence 5 المواضيع | 1 اختبار

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Introduction to Lecture 9

1 – Definition EX.1,2

2 – The General Term Of The Geometric Sequence EX.3,4

3 – Identifying The Geometric Sequence EX.5,6,7,8,9

4 – Geometric Means EX.10,11,12,13,14,15,16,17

Homework on lecture 9

Lecture 9 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 10 (Part1) – Algebra – Geometric Series 3 المواضيع | 1 اختبار

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Introduction to Lecture 10

1 – Definition EX.1,2,3,4,5,6,7

2 – Remarks EX.8,9,10,11,12,13,14,15

Homework on lecture 10

Lecture 10 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecrure 11 (Part1) – Trigonometry – Angles Of elevation And Depression 4 المواضيع | 1 اختبار

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Introduction to Lecture 11

1 – Definition EX.1,2,3,4

2 – more examples EX.5,6,7,8

3 – Remark EX.9,10

Homework on lecture 11

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Lecrure 12 (Part1) – Trigonometry – trigonometric Functions Of The Sum And Difference Between The Measures Of Two Angles 4 المواضيع | 1 اختبار

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Introduction to Lecture 12

1 – Definition EX.1,

2 – more examples EX.2,3,4,5,6

3 – more examples EX.7,8,9,10,11

Homework on lecture 12

Lecture 12 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecrure 13 (Part1) – Trigonometry – trigonometric Functions Of Double Of The Measure Of An Angle 5 المواضيع | 1 اختبار

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Introduction to Lecture 13

1 – Definition EX.1,

2 – more examples EX.2,3,4,5,6

3 – more examples EX.7,8,9,10

4 – more examples EX.11,12,13

Homework on lecture 13

Lecture 13 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecrure 14 (Part1) – Trigonometry – Heron’s Formula 2 المواضيع | 1 اختبار

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Introduction to Lecture 14

1 – Heron’s Formula

Homework on lecture 14

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Lecture 15 (Part1) – Calculus – Derivatives Of Trigonometric Functions 2 المواضيع | 1 اختبار

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Introduction to Lecture 15

1 – Rules EX.1,2,3,4,5

Homework on lecture 15

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Lecture 16 (Part1) – Calculus – Applications On Derivatives 4 المواضيع | 1 اختبار

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Introduction to Lecture 16

1 – Introduction EX.1,2

2 – more examples EX.3,4,5,6,7

3 – more examples EX.8,9,10,11,12

Homework on lecture 16

Lecture 16 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 17 (Part1) – Calculus – Integration 3 المواضيع | 1 اختبار

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Introduction to Lecture 17

1 – Definition EX.1,2,3,4

2 – Rules Of Integration EX.5,6,7

Homework on lecture 17

Lecture 17 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 18 (Part1) – Calculus – Integration 3 المواضيع | 1 اختبار

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Introduction to Lecture 18

1 – Integration Of Some Trigonometric Functions EX.8

2 – more examples EX.9,10

Homework on lecture 18

Lecture 18 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 19 (Part1) – Algebra – Counting Principle – Permutations 5 المواضيع | 1 اختبار

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Introduction to Lecture 19

1 – Definition EX.1,2,3,4,5,6

2 – Factorial Of A Number EX.7,8,9

3 – Permutations EX.10,11,12,13

4 – more examples EX.14,15,16,17

Homework on lecture 19

Lecture 19 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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Lecture 20 (Part1) – Algebra – Combinations 4 المواضيع | 1 اختبار

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Introduction to Lecture 20

1 – Definition EX.1,2,3,4,5

2 – more examples EX.6,7,8,9,10

3 – more examples EX.11,12,13,14,15,16

Homework on lecture 20

Lecture 20 (Part2) – Diverse book questions + Homework answer Lecture 2 المواضيع

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