Course Contents
Rectangular coordinate system in space, equations of lines and planes in three dimensions.
Functions of several variables: Limits, continuity, derivatives of functions of several variables, increments and differentials (partial and total differentials), Euler’s theorem, chain rule, double and triple integrals.
Differntial euqations of first order. Solution of variable separable, exact and homogeneous differential
equations. Linear Dqs. Bernoully DEqs. Second and higher order differential equations.
Homogeneous and non-homogeneous eqs. Complementary function and particular integral. Cauchy
Euler differential equations.
Course Learning Outcomes
This course includes all necessary contents, which are required in the different subjects, e.g. Physics, Chemistry, Economics, Statistics at master and higher level. It is also useful in Engineering and Banking.
calculus chapter 2 exercise 2.6 Part(1) Complete
View Now
calculus chapter 2 exercise 2.6 Part(2) Complete in Urdu S.M.Yousuf
View Now
calculus chapter 2 exercise 2.6 Part(3)
View Now
calculus chapter 2 exercise 2.6 Part(4)
View Now
The complementary function and particular integral example
View Now
The complementary function and particular integral example
View Now
Differential equation introduction | First order differential equations
View Now
Equations of Lines and Planes in Three Dimensions
View Now
Direction Cosines & Direction Angles of a Vector
View Now
Double and Triple Integrals
View Now
The Chain Rule
View Now
Euler's theorem for Homogeneous Function
View Now
Method of Small Increments
View Now
First Order Linear Differential Equations
View Now
Bernoulli's Equation For Differential Equations
View Now
2nd order linear homogeneous differential equations 1
View Now
Nonhomogeneous 2nd-order differential equations
View Now
Cauchy-Euler Differential Equations (2nd Order)
View Now
Book Title : Mathematical Methods
Author : S.M Yousaf and Muhammad Amin
Edition : 2005
Publisher : Illmi kitab Khana Urdu Bazar Lahore.
Book Title : Calculus and Analytic Geometry
Author : C.H. Edwards and D.E. Penny
Edition : 1982, 1986, 1988).
Publisher : Prentice Hall, International Edition, 1982, 1986, 1988).
Book Title : Calculus and Analytic Geometry
Author : G.B. Thomas Jr. and R. L. Finney
Edition : 9th edition, 1994.
Publisher : Addision-Wesely Publishing company
Book Title : Calculus
Author : 3. H.Anton
Edition : 5th Edition
Publisher : John-Wiley and sons, New York
Book Title : An Introductory Course in Differential Equations
Author : K. L. Mir
Edition : 1999
Publisher : Ilmi Kitab Khan, 1999.
Book Title : A First Course in Differential Equations With Modeling Applications
Author : D. G. Zill
Edition : 9th edition, 1994.
Publisher : Brooks/Cole Publisher, New York.
No Information Yet