Finite Mathematics and Its Applications

This book covers all the titles related to algebra and their usage in real life for the undergraduate level. The topics that are covered within this book are equations and inequalities, polynomials and rational functions, exponential and logarithmic functions, matrices determinants and its applications, functions, and relations, and lastly, analytic geometry. The first chapter deals with functions and graphing techniques. This gives a summary of types of equations, modeling, analysis of graphs, etc.The second chapter deals with linear programming with all their necessary sub-topics like linear inequalities, properties associated with them, graphing and practical problems.The third chapter deals with a vector starting with its introduction, all its necessary properties, coplanar vectors, section formula, the standard basis of R2 and R3, vector subspace.The fourth chapter deals with linear and non-linear functions and teaches about straight lines and lines in pair, which is covered in linear functions, and lastly, non-linear functions that cover exponential and logarithmic functions with all their necessary properties like graphing, conversions, calculations, applications, etc. various topics.The fifth chapter deals with binomial expansion, sequence, and series. The sixth chapter deals with permutation and combination, which includes a detailed explanation about the two.