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Notes of Calculus with Analytic Geometry

Calculus

Notes of the Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore.

At this moment, we are adding notes of Chapter 1, If you wish to add your notes on this page. You can send us at admin [at] mathcity [dot] org.

Notes of chapter 1 is written by Prof. Muhammad Farooq, notes of chapter 5 is written by Abrar Mustafa and notes of chapter 6 and 7 are written by Mr. Shahid Javed.

We will try our best to add solutions of more chapters as we are able to manage. If you have some notes which you thing are worth to share with other then please contact us from here or email at Admin [at] MathCity [dot] org.

List of chapters

Ch 03: General Theorem, Intermediate Forms

Graphical interpertation of  mean value theorem
  • Rolle's theorem
  • Geometrical interpretation of Rolle's theorem
  • The mean vlaue theorem
  • Another form of mean value theorem
  • Increasing and decreasing functions
  • Cauchy's mean value theorem
  • Extended mean value theorem
  • Indeterminate form
  • The form \frac{0}{0}
  • The form \frac{\infty}{\infty}
  • The form 0\times\infty (or \infty\times 0))
  • The form \infty-\infty
  • The forms 0^\infty, 1^\infty, \infty^0
  • Use of expansions

Download or view online

ARW Exercise 3.1 Download PDF (1.16 MiB, 1387 downloads) View Online
ARW Exercise 3.2 Download PDF (772.51 KiB, 5564 downloads) View Online
ARW Exercise 3.3 Download PDF (2.59 MiB, 1500 downloads) View Online

Ch 08: Analytic Geometry of Three Dimensions

Cooridnate system
  • Distance between two points
  • Point divining a line segment in a given ratio
  • Straight line in \mathbb{R}^3
  • Direction angles of a vector
  • Angle between the straight line
  • Distance of a point from a line
  • Equations for planes
  • Angle between two planes
  • Straight line as intersection of two planes
  • Shortest distance between two straight lines
  • Cylindrical coordinates
  • Spherical coordinates
  • Surfaces
  • Surface of revolution
  • The cylinder
  • Right cylinder
  • The cone
  • The sphere
  • The ellipsoid
  • The elliptic paraboloid
  • The hyperboloid paraboloid
  • The elliptic cone
  • General quadric surfaces
  • Ruled surfaces
  • Spherical trigonometry
  • The cosine formula
  • The sine formula
  • The four parts (or the cotangent) formula
  • Latitude and longitude
  • Direction of Qibla

Download or view online

ARW Exercise 8.1 Download PDF (613.14 KiB, 1877 downloads) View Online
ARW Exercise 8.2 Download PDF (1.19 MiB, 11969 downloads) View Online
ARW Exercise 8.3 Download PDF (715.33 KiB, 1971 downloads) View Online
ARW Exercise 8.4 Download PDF (668.08 KiB, 2293 downloads) View Online
ARW Exercise 8.5 Download PDF (321.66 KiB, 5479 downloads) View Online
ARW Exercise 8.6 Download PDF (578.99 KiB, 2146 downloads) View Online
ARW Exercise 8.7 NEW Download PDF (488.29 KiB, 1740 downloads) View Online
ARW Exercise 8.8 NEW Download PDF (105.69 KiB, 926 downloads) View Online
ARW Exercise 8.9 NEW Download PDF (290.39 KiB, 1283 downloads) View Online
ARW Exercise 8.10 NEW Download PDF (678.58 KiB, 1651 downloads) View Online
ARW Direction of Qibla Download PDF (859.73 KiB, 2289 downloads) View Online

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bsc/notes_of_calculus_with_analytic_geometry.txt · Last modified: 2016/01/28 12:56 by Administrator