Applied mathematics concerns itself with mathematical methods that are typically used in science, engineering, business, and industry. Thus, "applied mathematics" is a mathematical science with specialized knowledge. The term applied mathematics also describes the professional specialty in which mathematicians work on practical problems; as a profession focused on practical problems, applied mathematics focuses on the "formulation, study, and use of mathematical models" in science, engineering, and other areas of mathematical practice.

Chapter Include 

·         01 SETS

·         02 RELATIONS AND FUNCTIONS

·         03 TRIGONOMETRIC FUNCTIONS

·         04 PRINCIPLE OF MATHEMATICAL INDUCTION

·         05 COMPLEX NUMBERS

·         06 LINEAR INEQUALITIES

·         07 PERMUTATIONS AND COMBINATIONS

·         08 BINOMIAL THEOREM

·         09 SEQUENCES AND SERIES

·         10 STRAIGHT LINES

·         11 CONIC SECTIONS

·         12 INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

·         13 LIMITS AND DERIVATIVES

·         14 MATHEMATICAL REASONING

·         15 STATISTICS

·         16 PROBABILITY

 




Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons;[6] advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.


chapters Include

·         01 PHYSICAL WORLD

·         02 UNITS AND MEASUREMENT

·         03 MOTION IN A STRAIGHT LINE

·         04 MOTION IN A PLANE

·         05 LAWS OF MOTION

·         06 WORK, ENERGY AND POWER

·         07 SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

·         08 GRAVITATION

·         09 MECHANICAL PROPERTIES OF SOLIDS

·         10 MECHANICAL PROPERTIES OF FLUIDS

·         11 THERMAL PROPERTIES OF MATTER

·         12 THERMODYNAMICS

·         13 KINETIC THEORY

·         14 OSCILLATIONS

·         Waves

 


The history of chemistry spans a period from very old times to the present. Since several millennia BC, civilizations were using technologies that would eventually form the basis of the various branches of chemistry. Examples include extracting metals from ores, making pottery and glazes, fermenting beer and wine, extracting chemicals from plants for medicine and perfume, rendering fat into soap, making glass, and making alloys like bronze. Chemistry was preceded by its protoscience, alchemy, which is an intuitive but non-scientific approach to understanding the constituents of matter and their interactions. It was unsuccessful in explaining the nature of matter and its transformations, but, by performing experiments and recording the results, alchemists set the stage for modern chemistry. 

Chapter includes

·         01 SOME BASIC CONCEPTS OF CHEMISTRY

·         02 STRUCTURE OF ATOM

·         03 CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES

·         04 CHEMICAL BONDING AND MOLECULAR STRUCTURE

·         05 STATES OF MATTER.

·         06 THERMODYNAMICS

·         07 EQUILIBRIUM

·         08 REDOX REACTIONS

·         09 HYDROGEN

·         10 THE s-BLOCK ELEMENTS

·         11 THE s-BLOCK ELEMENTS

·         12 ORGANIC CHEMISTRY – SOME BASIC PRINCIPLES AND TECHNIQUES

·         13 HYDROCARBONS

·         14 ENVIRONMENTAL CHEMISTRY

 



Sub-disciplines of biology are defined by the research methods employed and the kind of system studied: theoretical biology uses mathematical methods to formulate quantitative models while experimental biology performs empirical experiments to test the validity of proposed theories and understand the mechanisms underlying life and how it appeared and evolved from non-living matter about 4 billion years ago through a gradual increase in the complexity of the system.[4][5][6] See branches of biology.

Chapter includes

·         01 The Living World

·         02 BIOLOGICAL CLASSIFICATION

·         03 PLANT KINGDOM

·         04 ANIMAL KINGDOM

·         05 MORPHOLOGY OF FLOWERING PLANTS

·         06 ANATOMY OF FLOWERING PLANTS

·         07 STRUCTURAL ORGANISATION IN ANIMALS

·         08 CELL: STRUCTURE AND FUNCTIONS

·         09 BIOMOLECULES

·         10 CELL CYCLE AND CELL DIVISION

·         11 Transport in Plants

·         12 Mineral Nutrition

·         13 Photosynthesis in Higher Plants

·         14 Respiration in Plants

·         15 Plant Growth and Development

·         16 Digestion and Absorption

·         17 Breathing and Exchange of Gases

·         18 Body Fluids and Circulation

·         19 Excretory Products and their Elimination

·         20 Locomotion and Movement

·         21 Neural Control and Coordination

·         22 Chemical Control and Coordination