Hello,

For mathematics Part 1, you can follow the NCERT where you can clear your concepts. After that to solve the problems you can go for elements of mathematics. This book contains good amount of questions and it has questions concept wise. After every concept you will get questions to solve. This make your concepts strong. After that you can go for books which have high number of questions like S.Chand, S.C. Sinha.

This is books has concepts which will be mostly needed in engineering mathematics.  For engineering Mathematics , You have to follow Kreyzig book which is always prescribed in the syllabus.

Along with  kreyzig, you can follow Higher Engineering Mathematics by B.V. Ramna. Both the book will help you alot and for basics you can read the above mentioned books.

Hope it helps!