Maths Preparation

The good reference books for the IIT JAM mathematics are given below:
Books on Algebra
Fundamental structure in Modern Algebra by R.S. Mishra and N.N.Bhattacharya
Abstract Algebra by Bhattacharya, Jain & Nagpal
Linear Algebra for IIT JAM Mathematics by Samveda publication
Books on Calculus
Integral Calculus by Gorakh Prasad
Calculus by M. J. Strauss, G. L. Bradley and K. J. Smith
Calculus by Pisknov
Books on Real Analysis
Introduction to Real Analysis by R. G. Bartle and D. R. Sherbert
A course of Mathematical Analysis by Shanti Narayan
Fundamentals of Real Analysis by V.K Krishnan
Books on Differential Equations
Differential Equations by G.F.Simmons
Partial differential equationsmethods and applications by Mcowan, R.C
Books on Group Theory
Group Theory by Sudesh Kumar Shah
Books for Vector Analysis
Vector Analysis: Schaums Outlines Series
For practicing purpose, you can take help of IIT-JAM: M.Sc. (Mathematics) Previous Papers & Practice Test Papers (Solved) by by RPH Editorial Board (Author).

You don't need to have maths.
NID exam includes multiple choice questions and drawing related questions and is designed to evaluate the following abilities of the candidate.
1. Visualization and Spatial ability: It is the potential to detect, imagine and visualize shapes. It is the ability to interpret 2D, 3D shapes and other similar objects.
2. Observation and Design sensitivity: It includes the ability to detect concealed properties in ordinary things, people, situations, events and thinking critically about them.
3. Environmental and Social awareness: It includes the awareness of environmental factors such as climate, population, water, vegetation, pollution, weather, natural resources etc., and their implications on the design of products, images, infrastructure and environment. It also includes the awareness of history, architecture, artists, paintings, dance forms, symbols, history of the designed artifact, socially responsible and environmentally sustainable design, art, sculpture and literature.
4. Analytical and Logical reasoning: It assesses the ability to consider a group of facts and rules, and, given those facts and rules, determine what could or must be true. It is the ability to follow the rules and work as per the instructions without an error. It tests your ability to look at information, be it qualitative or quantitative in nature and discern patterns within the information.
5. Drawing skills: It is not necessary to be a pure artist but you should be aware of basic elements in design sketching like proportion, perspective, lights and shadows, composition and spaces.

B.Sc. Biotechnology or Bachelor of Science in Biotechnology is an undergraduate Biotechnology course. Biotechnology is a field of applied biology that involves the use of living organisms and bioprocesses in engineering, technology, medicine and other fields requiring by-products. B.Sc. in Bio-technology is generally three academic year course and the syllabus for the course is also divided into three years. It may be provided on part time basis by certain institutes. B.Sc. Bio-technology is an important one that provides a lot of career scopes to the applicants after its completion.
Syllabus of Biotechnology as prescribed by various Universities and Colleges.
Year I
Subjects of Study
1.Introductory Biological Chemistry
2.Biophysical Chemistry
3.Cell biology and Genetics
Year II
1.Bioenergetics and Bio-membranes
2.Animal and Plant Physiology
3.Biostatistics and computer
Year III
1.Molecular Biology and Biotechnology
2.Animal & Plant Biotechnology
3.Industrial and Environmental Biotechnology