Diploma(me-ece)1stsem.doc - Elementary Engineering Mathematics by BS Grewal, Khanna Publishers, New Delhi. Engineering Mathematics by Vol. I & II by S Kohli, IPH, Jalandhar. Download our download ml khanna iit mathematics eBooks for free and learn more about download ml khanna iit mathematics. These books contain exercises and tutorials to improve your practical skills, at all levels! To find more books about download ml khanna iit mathematics, you can use related keywords: Vector Algebra By Ml Khanna Pdf Download, Download Ml Khanna Iit Mathematics, Iit Mathematics By Ml Khanna Pdf Download, Iit Mathematics By Ml Khanna Pdf Download, Iit Mathematics By M.l. Download Stand By Me Doraemon Full Movie English Sub on this page.
The book covers Co-ordinate geometry, Trigonometry, Differential Calculus, Integral Calculus, Differential Equations, Vector Algebra and Algebra in detail. The topics contained in algebra are complex numbers, progressions, theory of quadratic equations, permutations and combinations and a few others. Differential calculus deals with functions, limits, continuity and differentiability, tangents & normals and maxima & minima. Coordinate geometry covers straight line, circle, parabola, ellipse and hyperbola. At the beginning of each chapter, there is a list of important formulae along with their derivations which you can go through to help you memorize the formulae.
There are many illustrations along with the solutions in each chapter and it also has questions asked in previous IIT exams tagged. Each topic has many problem sets which are expected to be solved by the reader. The solutions are discussed next to the problem set and are explained in really remarkable manner with all figures and explanations needed. There are multiple choice questions, true-false type questions, match the columns in the book, based on IIT pattern, on each topic contained in a separate problem set. In my opinion, the book covers exhaustively the topics mentioned above and there is no need to refer to any other book on these topics if they are covered by the reader in an appropriate manner. Now, I present two problems here and illustrate the kind of solutions given in the book.
Problem: If (α, β), (x, y) and (p, q) are the coordinates of the circumcentre, centroid and orthocentre of a triangle, prove 3x=2α+p and 3y=2β+q. Solution: Let us denote centroid of a triangle by G, circumcentre of a triangle by O and orthocentre by H. The points G, O and H are collinear and G divides OH in the ratio 1:2. So, centroid divides the line joining circumcentre and orthocentre in the ratio of 1:2. Therefore, x= (1*p+2*α)/3 and y= (1*q+2*β)/3 which on rearranging give the above equations as asked in the question.
This is based on a simple formula and could be solved in a few seconds if the formula was memorized by the student. Problem: Prove that the lines ax+by+c = 0, bx+cy+a=0 and cx+ay+b=0 are concurrent if a+b+c=0.
Solution: The lines will be concurrent if the determinant of the matrix [a b c; b c a; c a b] is zero. The semicolon separates rows of the matrix. The first row of matrix comprises the constant multiplied by x, the constant multiplied with y and simply the constant of the first line equation. The second row comprises the same for the second equation of line and similarly for the third.