Description This book has been designed for the aspirants of Uttar Pradesh state engineering entrance exam (UPSEE) conducted by the Gautam Buddh technical university, Lucknow (GBTU) for admission to the first year of various undergraduate engineering institutions affiliated to GBTU. This study guide for mathematics for SEE-GBTU 2015 has been divided into 26 chapters namely sets, relations and, functions, complex numbers, quadratic equations, sequences and series, logarithm, exponential and, logarithmic series, binomial theorem, matrices and determinants, probability, inequalities and mathematical induction, trigonometric ratios and equations, properties of triangle and, 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, vector algebra, statics and dynamics. Each chapter in the book contains ample number of solved and unsolved questions designed strictly according to the current trend of questions asked in SEE-GBTU examination. The solutions given in the book are explanatory and authentic covered along with illustrations and tips and, tricks. Also wherever required some concepts have been discussed in detail with desired theoretical matter. Also the hints and solutions to the practice exercises have been given at the end of each chapter. A list of important formulae for UPSEE mathematics has been give after the chapterwise study. At the end of the book three mock cum practice tests have been provided for thorough revision and self analysis. To help candidates get an insight into the current examination pattern, last five years and rsquo, (2010-2014) UPSEE solved papers have also been given at the end of the book. As the book has been designed strictly according the recent examination pattern of UPSEE and contains ample number of solved and, unsolved questions, it will act as a perfect study guide for UPSEE GBTU mathematics 2015.
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