Dr. APJ. Abdul Kalam Technical University (Formerly Known as Uttar Pradesh Technical University) conducts a state level entrance examination called UPSEE also known as Uttar Pradesh State Entrance Exam for both UG and PG courses, each year it shortlist students as per their rankings and accordingly allocates them colleges. In order to get admissions in UPTU Engineering Stream it is mandatory to have good ranking in the written examination. The revised edition of “SELF STUDY GUIDE UPTU MATHEMATICS” help students to prepare for UPSEE Paper by giving the complete package of the subject. The book is divided into 22 Chapters and every topic has been explained in a lucid language which clears all the doubts and concepts regarding the subject so that candidates can grasp the topics easily & quickly. Moreover, ample amount of the questions are being provided at the end of the book in the form 3 Mock Tests & Last 14 Years’ solved papers has been provided that gives the exact idea of the question paper pattern, difficulty level and answer writing skills for the exam. Important Formulae are given so that students can quickly revise them before the exam further ‘Entrance Corner’ is provided that gives the brief explanation of the paper. Preparation from this book help students to step ahead towards their goal. TABLE OF CONTENT Sets, Relations & Functions, Complex Numbers, Quadratic Equations, Sequences and Series, Logarithm, Exponential & Logarithmic Series, Binomial Theorem, Matrices and Determinants, Probability, Inequalities and Mathematical Induction, Trigonometric Ratios and Equations, Properties of Triangle & Heights and Distances, Inverse Trigonometric Functions, Rectangular Cartesian Coordinates, Straight Line and Pair of Straight Lines, Circles and Family of Circles, Conic Section, Functions, Limits, Continuity and Differentiability, Differentiation, Applications of Derivatives, Indefinite Integration, Definite Integration and Area of Bounded Region, Differential Equations, Vector Algebra, Statics, Dynamics, Important Formulae (UP SEE Mathematics), Practice Sets, Entrance Corner, UP SEE Solved Paper 2010-2019.