Pure Math &#8211; S2 -scientific &#8211; Abdullah Nasr

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

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Lecrure 2 (Part1) – Trigonometry – The cosine rule 5 المواضيع | 1 اختبار

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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

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Lecrure 3 (Part1) – Trigonometry – Solution of the triangle 5 المواضيع | 1 اختبار

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Introduction to Lecture 3

1- cases of solution of triangle

2- The Ambiguous case part 1

3 -The Ambiguous case part 2

Homework on lecture 3

Lecture 3 (Part2) – Diverse book questions + Homework answer Lecture 3 2 المواضيع

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Lecture 4 – Revision – Unit 4 – Trigonometry Available on أكتوبر 13, 2022 12:00 ص

Lecture 5 (Part1) – Algebra – Real functions (Determination the domain and range – Discuss the monotony) 8 المواضيع | 1 اختبار Available on أكتوبر 13, 2022 12:00 ص

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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 Available on أكتوبر 13, 2022 12:00 ص

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Lecture 6 (Part1) – Algebra – Operations on functions – Composition of functions 7 المواضيع | 1 اختبار Available on أكتوبر 20, 2022 12:00 ص

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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 part 2

Composition of functions (the domain) part 3

Homework on lecture 6

Lecture 6 (Part2) – Diverse book questions + Homework answer Lecture 6 2 المواضيع Available on أكتوبر 20, 2022 12:00 ص

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Lecture 7 (Part1) – Algebra – Some properties of functions ( even and odd functions / one-to-one functions) 6 المواضيع | 1 اختبار Available on أكتوبر 27, 2022 12:00 ص

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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 Available on أكتوبر 27, 2022 12:00 ص

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Lecture 8 (Part1) – Algebra – Graphical representation of basic functions and graphing piecewise functions 6 المواضيع | 1 اختبار Available on نوفمبر 3, 2022 12:00 ص

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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 Available on نوفمبر 3, 2022 12:00 ص

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Lecture 9 (Part1) – Algebra – Geometrical transformations of basic function curves 8 المواضيع | 1 اختبار Available on نوفمبر 10, 2022 12:00 ص

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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 Available on نوفمبر 10, 2022 12:00 ص

Lecture 10 (Part1) – Algebra – Solving absolute value equations and inequalities 8 المواضيع | 1 اختبار Available on نوفمبر 17, 2022 12:00 ص

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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 Available on نوفمبر 17, 2022 12:00 ص

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Lecture 11 – Revision – Unit One – Algebra – Functions of a real variable and drawing curves Available on نوفمبر 24, 2022 12:00 ص

Lecture 12 (Part1) – Algebra – Rational Exponents and exponential equations 6 المواضيع | 1 اختبار Available on ديسمبر 1, 2022 12:00 ص

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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 Available on ديسمبر 1, 2022 12:00 ص

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Lecture 13 (Part1) – Algebra – Exponential function and its applications 7 المواضيع | 1 اختبار Available on ديسمبر 8, 2022 12:00 ص

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Introduction to Lecture 13

Definition

Grapgical representation of the exponential function Ex. 1,2

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 Available on ديسمبر 8, 2022 12:00 ص

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Lecture 14 (Part1) – Algebra – The Inverse function 6 المواضيع | 1 اختبار Available on ديسمبر 15, 2022 12:00 ص

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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 Available on ديسمبر 15, 2022 12:00 ص

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Lecture 15 (Part1) – Algebra – Logarithmic function and its graph 8 المواضيع | 1 اختبار Available on ديسمبر 22, 2022 12:00 ص

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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 Available on ديسمبر 22, 2022 12:00 ص

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Lecture 16 (Part1) – Algebra – Some properties of logarithms 7 المواضيع | 1 اختبار Available on ديسمبر 29, 2022 12:00 ص

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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 Available on ديسمبر 29, 2022 12:00 ص

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Lecture 17 – Revision – Unit Two – Algebra – Exponents, logarithms and their applications 1 موضوع Available on يناير 5, 2023 12:00 ص

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REVISION – Unit Two – Algebra – Exponents, logarithms and their applications

Lecture 18 (Part1) – Calculus – Introduction to limits of functions “Evaluation of the limit numerically and graphically 5 المواضيع | 1 اختبار Available on يناير 12, 2023 12:00 ص

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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 Available on يناير 12, 2023 12:00 ص

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Lecture 19 (Part1) – Calculus – Finding the limit of a function algebraically 5 المواضيع | 1 اختبار Available on يناير 19, 2023 12:00 ص

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Introduction to Lecture 19

Theorems (1),(2) Ex. 1

Theorem (3) Ex. 2,3

more examples on previous theorems

Homework on lecture 19

Lecture 19 (Part2) – Diverse book questions + Homework answer Lecture 19 2 المواضيع Available on يناير 19, 2023 12:00 ص

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Lecture 20 (Part1) – Calculus – Theorem (4) “The law” 5 المواضيع | 1 اختبار Available on يناير 26, 2023 12:00 ص

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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 5 المواضيع | 1 اختبار Available on فبراير 2, 2023 12:00 ص

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Introduction to Lecture 21

Illustrated Example 1,2 Ex. 1

Getting the limit of a rational function at infinty Ex. 2,3

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 Available on فبراير 2, 2023 12:00 ص

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Lecture 22 (Part1) – Calculus – Limits of trigonometric functions 5 المواضيع | 1 اختبار Available on فبراير 9, 2023 12:00 ص

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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 Available on فبراير 9, 2023 12:00 ص

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Lecture 23 (Part1) – Calculus – Existence of the limit of a piecewise function 6 المواضيع | 1 اختبار Available on فبراير 16, 2023 12:00 ص

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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 Available on فبراير 16, 2023 12:00 ص

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Lecture 24 (Part1) – Calculus – Continuity 9 المواضيع | 1 اختبار Available on فبراير 23, 2023 12:00 ص

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Introduction to Lecture 24

Continuity of a function at a point ( Definition )

More examples on Continuity of a function at a point

Remark & Ex. 5,6,7

different ideas on continuity

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 Available on فبراير 23, 2023 12:00 ص

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