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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, 1796 downloads) View Online
ARW Exercise 3.2 Download PDF (772.51 KiB, 900 downloads) View Online
ARW Exercise 3.3 Download PDF (2.59 MiB, 1137 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, 2053 downloads) View Online
ARW Exercise 8.2 Download PDF (1.19 MiB, 1316 downloads) View Online
ARW Exercise 8.3 Download PDF (715.33 KiB, 1106 downloads) View Online
ARW Exercise 8.4 Download PDF (668.08 KiB, 1349 downloads) View Online
ARW Exercise 8.5 Download PDF (321.66 KiB, 966 downloads) View Online
ARW Exercise 8.6 Download PDF (578.99 KiB, 1214 downloads) View Online
ARW Exercise 8.7 Download PDF (488.29 KiB, 1702 downloads) View Online
ARW Exercise 8.8 Download PDF (105.69 KiB, 4017 downloads) View Online
ARW Exercise 8.9 Download PDF (290.39 KiB, 49 downloads) View Online
ARW Exercise 8.10 Download PDF (678.58 KiB, 683 downloads) View Online
ARW Direction of Qibla Download PDF (859.73 KiB, 1457 downloads) View Online

Ch 09: Functions of Several Variables

  • Homogeneous Functions
  • Differentials
  • Change of variables, the chain rule
  • Implicit functions
  • Directional derivative
  • Tangent planes and normal lines
  • Extrema of functions of two variables
  • Extrema with constraints
  • Volume of solid of revolution
  • Disc method
  • Washer method
  • Shell method
  • Cross-sectional method
  • Area of a surface of revolution
  • Volume and area in polar coordinates

Download or view online

ARW Exercise 9.1 Download PDF (552.13 KiB, 765 downloads) View Online
ARW Exercise 9.2 Download PDF (326.7 KiB, 1613 downloads) View Online
ARW Exercise 9.3 Download PDF (363.93 KiB, 1211 downloads) View Online
ARW Exercise 9.4 Download PDF (242.15 KiB, 4117 downloads) View Online
ARW Exercise 9.5 Download PDF (591.9 KiB, 1242 downloads) View Online
ARW Exercise 9.6 Download PDF (975.13 KiB, 2198 downloads) View Online
ARW Exercise 9.7 Download PDF (474.89 KiB, 530 downloads) View Online
ARW Exercise 9.8 Download PDF (643.65 KiB, 550 downloads) View Online
ARW Exercise 9.9 NEW Download PDF (509.32 KiB, 950 downloads) View Online


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bsc/notes_of_calculus_with_analytic_geometry.txt · Last modified: 2016/03/12 11:05 by Administrator