Pure Math &#8211; ART SEC &#8211; S2 &#8211; Abdullah Nasr

Lecture 3 (Part 2) – Diverse Book Questions + Homework Lecture 3 2 المواضيع | 1 اختبار Available on سبتمبر 29, 2022 12:00 ص

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Diverse book questions

Homework answer

Homework on lecture 3

Lecture 4 – Revision – Unit 4 – Trigonometry Available on أكتوبر 6, 2022 12:00 ص

First term - Unit 1 - Algebra - Functions of a real variable and drawing curves (7 Lectures)

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

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Introduction 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

Lecture 5 (Part 2) – Diverse Book Questions + Homework Lecture 5 2 المواضيع | 1 اختبار Available on أكتوبر 13, 2022 12:00 ص

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

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Introduction Lecture 6

Operations on functions part 1

Operations on functions part 2

Composition of functions part 1

Composition of functions part 2

Composition of functions (the domain) part 3

Lecture 6 (Part 2) – Diverse Book Questions + Homework Lecture 6 2 المواضيع | 1 اختبار Available on أكتوبر 20, 2022 12:00 ص

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

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Introduction Lecture 7

even and odd functions part 1

even and odd functions part 2

even and odd functions part 3

One-to-one functions

Lecture 7 (Part 2) – Diverse Book Questions + Homework Lecture 7 2 المواضيع | 1 اختبار Available on أكتوبر 27, 2022 12:00 ص

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

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Introduction Lecture 8

Representing the linear function

Grapging the quadratic function

Grapging the piecewise function

The basic forms of some functions

Lecture 8 (Part 2) – Diverse Book Questions + Homework Lecture 8 2 المواضيع | 1 اختبار Available on نوفمبر 3, 2022 12:00 ص

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

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Introduction Lecture 9

Vertical and horizontal translation of the function curve part 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

Streching of the function curve

More ideas on Vertical and horizontal translation of the function curve

Lecture 9 (Part 2) – Diverse Book Questions + Homework Lecture 9 2 المواضيع | 1 اختبار Available on نوفمبر 10, 2022 12:00 ص

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

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Introduction Lecture 10

Solving absolute value equations part 1

Solving absolute value equations part 2

Solving absolute value equations part 3

Solving absolute value inequalities part 1

Solving absolute value inequalities part 2

Solving absolute value inequalities part 3

Lecture 10 (Part 2) – Diverse Book Questions + Homework Lecture 10 2 المواضيع | 1 اختبار Available on نوفمبر 17, 2022 12:00 ص

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Lecture 11 – Revision – Unit 1 – Algebra – Functions of a real variable and drawing curves Available on نوفمبر 24, 2022 12:00 ص

Homework Lecture 10

First term - Unit 2 - Algebra - Exponents, logarithms and their applications (5 Lectures)

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

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Introduction 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

Lecture 12 (Part 2) – Diverse Book Questions + Homework Lecture 12 2 المواضيع | 1 اختبار Available on ديسمبر 1, 2022 12:00 ص

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

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Introduction Lecture 13

Definition

Graphical representation of the exponential function

Some geometric transformation of exponential function

Solving the exponential equations graphically

Life applications

Lecture 13 (Part 2) – Diverse Book Questions + Homework Lecture 13 2 المواضيع | 1 اختبار Available on ديسمبر 8, 2022 12:00 ص

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Lecture 14 (Part 1) – Algebra – Logarithmic function and its graph 8 المواضيع Available on ديسمبر 15, 2022 12:00 ص

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Introduction Lecture 14

Definition & Remarks

The relation between the exponential and logarithmic functions

Graphical representation of the logarithmic function part 1

Graphical representation of the logarithmic function part 2

Graphical representation of the logarithmic function part 3

Graphical representation of the logarithmic function part 4

Lecture 14 (Part 2) – Diverse Book Questions + Homework Lecture 14 2 المواضيع | 1 اختبار Available on ديسمبر 15, 2022 12:00 ص

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Diverse book Questions

Lecture 15 (Part 1) – Algebra – Some properties of logarithms 7 المواضيع Available on ديسمبر 22, 2022 12:00 ص

Homework Lecture 14

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Introduction Lecture 15

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

Lecture 15 (Part 2) – Diverse Book Questions + Homework Lecture 15 2 المواضيع | 1 اختبار Available on ديسمبر 22, 2022 12:00 ص

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Lecture 16 – Revision – Unit Two – Algebra – Exponents, logarithms and their applications Available on ديسمبر 29, 2022 12:00 ص

Homework Lecture 15

First term - Unit 3 - Calculus - Limits and continuity (5 Lectures)

Lecture 17 (Part 1) – Calculus – Introduction to limits of functions “Evaluation of the limit numerically and graphically 5 المواضيع Available on يناير 5, 2023 12:00 ص

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Introduction Lecture 17

Specified , unspecified and undefined quantities

The concept of limits of a function at a point

General Examples

Lecture 17 (Part 2) – Diverse Book Questions + Homework Lecture 17 2 المواضيع | 1 اختبار Available on يناير 5, 2023 12:00 ص

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Lecture 18 (Part 1) – Calculus – Finding the limit of a function algebraically 5 المواضيع Available on يناير 12, 2023 12:00 ص

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Introduction Lecture 18

Theorems (1),(2)

Theorem (3)

more examples on previous theorems

Lecture 18 (Part 2) – Diverse Book Questions + Homework Lecture 18 2 المواضيع | 1 اختبار Available on يناير 12, 2023 12:00 ص

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Lecture 19 (Part 1) – Calculus – Theorem (4) “The law” 5 المواضيع Available on يناير 19, 2023 12:00 ص

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Introduction Lecture 19

Lecture 19 (Part 2) – Diverse Book Questions + Homework Lecture 19 2 المواضيع | 1 اختبار Available on يناير 19, 2023 12:00 ص

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Lecture 20 (Part 1) – Calculus – limit of the function at infinity 5 المواضيع Available on يناير 26, 2023 12:00 ص

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Introduction Lecture 20

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

Lecture 20 (Part 2) – Diverse Book Questions + Homework Lecture 20 2 المواضيع | 1 اختبار Available on يناير 26, 2023 12:00 ص

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