The author has endeavoured to present the fundamental concepts of mathematics in a comprehensive and lucid manner. An outstanding and distinguishing feature of the book is the large number of typical solved examples followed by well graded exercises for practice. Many examples and problems have been selected from recent papers (2005 onwards) of various engineering examinations. The book is strictly in accordance with the latest syllabi.
For B.TECH. 1st YEAR, SEMESTER I, M.D.U., G.J.U., K.U.K., Haryana
SECTION A (Infinite Series)
1. Infinite Series
SECTION B (Matrices and Its Applications)
2. Matrices and Its Applications (Not for K.U.K.)
SECTION C (Differential Calculus)
3. Successive Differentiation (Not for K.U.K.)
4. Leibnitz's Theorem and Applications (Not for K.U.K.)
5. Taylor's and Maclaurin's Series
6. Curvature
7. Asymptotes
8. Curve Tracing
9. Functions of Two or More Variables (Limit and Continuity)
10. Partial Differentiation
SECTION D (Integral Calculus)
11. Applications of Single Integration (Volumes and Surfaces of Solids of Revolution)
12. Multiple Integrals
SECTION E
13. Vector Calculus (Only for DCRUST, Murthal)
Appendices-I: Short Answer Type Questions
Appendices-II Some Important Curves
Examination Papers