This textbook has been conceptualized as per the recommended National Education Policy (NEP) 2020 and as per the syllabus prescribed by Karnataka State Higher Education Council (KSHEC) for B.Sc. students of Mathematics. It covers important topics such as Matrices, Polar Coordinates, Differential Calculus and Successive Differentiation for sound conceptual understanding.

“Algebra-II and Calculus-II” is designed for B.Sc. students of mathematics (Second Semester) of Karnataka State Higher Education Council (KSHEC) as per the recommended National Education Policy (NEP) 2020. It covers important topics like ‘Recapitulation of number system’, ‘Completeness and Archimedean’ property of R, Bolzano-Weierstrass theorem, Cayley’s theorem, Lagrange’s Theorem and Euler’s Ø function, Homogeneous functions, Taylor’s and Maclaurin’s series, Line Integral Double Integral and Triple Integral.

Algebra-II and Calculus-II" is designed for B.Sc. students of mathematics (Second Semester) of Karnataka State Higher Education Council (KSHEC) as per the recommended National Education Policy (NEP) 2020. It covers important topics such as Number Theory, Group Theory, Differential Calculus, Partial Derivatives and Integral Calculus.

This textbook has been conceptualized as per the recommended National Education Policy (NEP) 2020 and as per the syllabus prescribed by Karnataka State Higher Education Council (KSHEC) for B.Sc. students of Mathematics. It covers important topics such as Matrices, Polar Coordinates, Differential Calculus, Successive Differentiation, Number Theory, and Theory of Equations for sound conceptual understanding.

Algebra >Functions And Relations >Congruence Of Integers >Some Special Types Of Matrices >Elementary Operations And Inverse Of A Matrix >Linear Dependance Of Vectors >Rank Of A Matrix >Linear Equations >Characteristic Roots Of Vectors >Theory Of Equations

Mathematics-I for the paper BSC-103 of the latest AICTE syllabus has been written for the first semester engineering students of Indian universities. Paper BSC-103 is common to all streams of engineering except CS&E.Keeping in mind that the students are at the threshold of a completely new domain, the book has been planned with utmost care in the exposition of concepts, choice of illustrative examples, and also in sequencing of topics. The language is simple, yet accurate. A large number of worked-out problems have been included to familiarize the students with the techniques to solving them, and to instill confidence. Authors’ long experience of teaching various grades of students has helped in laying proper emphasis on various techniques of solving difficult problems.

First Semester Calculus for Students of Mathematics and Related Disciplines equips students with a working knowledge of the fundamental principles of calculus.