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| - | ====== Chapter 01: Real numbers, limits and continuity ====== | ||
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| - | Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. | ||
| - | The notes of this chapter is written by Prof. [[Muhammad Farooq]], Punjab College, Sargodha. | ||
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| - | ==== Contents and summary ==== | ||
| - | * **Articles of Exercise 1.1** | ||
| - | * Rational numbers, Irrational numbers, Real numbers, Complex numbers | ||
| - | * Properties of real numbers, Order properties of $\mathbb{R}$ | ||
| - | * Absolute value or modules of a $\mathbb{R}$ | ||
| - | * The completeness property of $\mathbb{R}$ | ||
| - | * Upper bound, lower bound | ||
| - | * Real line, Interval | ||
| - | * Working rule for the solution of inequality | ||
| - | * Binary relation (B.R), Domain of B.R, Range of B.R | ||
| - | * Function, Onto or surjective funiton, (1-1) Function, Bijective Function | ||
| - | * Real valued function, Image of a function, Bracket function | ||
| - | * **Articles of Exercise 1.2** | ||
| - | * Finite limit at a finite point | ||
| - | * Left hand limit | ||
| - | * Right hand limit | ||
| - | * **Articles of Exercise 1.3** | ||
| - | * Continuity | ||
| - | ==== View online or download ==== | ||
| - | Select the exercise below to view it. You can also download the PDF file of the respective exercise from the pages given below. | ||
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| - | * Articles of Exercise 1.1 | VIEW [[: | ||
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| - | * Solution of Exercise 1.1 | VIEW [[: | ||
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