This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

ABOUT THE BOOK The "Classic Text Series" is a collection of books written by the most famous mathematicians of their time and has been proven over the years as the most preferred concept-building tool to learn mathematics. Arihant's imprints of these books are a way of presenting these timeless classics. Compiled by GN Berman, the book "A Problem Book in Mathematic Analysis" has been updated and deals with the modern treatment of complex concepts of Mathematical Analysis. Formulated as per the latest syllabus, this complete preparatory guide is compiled with systematically arranged Problems, exercises, and solutions to enhance problem-solving skills. The unique features accumulated in this book are: 1. Complete coverage of syllabus in 16 Chapters 2. A corresponding section of the textbook Mathematical Analysis 3. Hints for the solutions are given for more difficult problems 4. Table of values of basic elementary functions is given in Appendix 5. Works as an elementary textbook to build concepts 6. Chapterwise study notes, Miscellaneous Examples, and Answers TABLE OF CONTENT: Function, Limit, Continuity, Derivative & Differential- Differential Calculus, Investigating Functions and Their Graphs, The Definite Integral, Indefinite Integral- Indefinite Calculus, Methods for Evaluating Definite Integrals- Improper Integrals, Application of Integral Calculus, Series, Functions of Several Variables- Differential Calculus, Application of Differential Calculus of Functions of Several Variables, Multiple Integrals, Line Integrals and Surface Integrals, Differential Equations, Trigonometric Series, Elements of Field Theory, Answers, Appendix

Advanced Mathematics for the JEE is targeted towards students taking the JEE Mains, especially the JEE Advanced Mathematics paper. It covers all the prescribed topics and explains the conceptual foundations of a topic and makes clear its applications in solving the problems. All the chapters in the book contain theory, examples and solved problems. From chapter highlights to important facts and formulae, the theoretical portion is well-supported by numerous illustrative examples and unsolved problems of both objective and subjective types.

Cracking JEE Main & Advanced requires skills to solve a variety of thought-provoking problems with requisite synthesis of many concepts and may additionally require tricky mathematical manipulations. A massive collection of the most challenging problems, the Selected Problems Series comprises of 3 books, one each for Physics, Chemistry and Mathematics to suit the practice needs of students appearing for upcoming JEE Main and Advanced exam. Ranjeet Shahi’s, 1500 Selected Problems Asked in Chemistry aims to sharpen your Problem-Solving Skills according to the exam syllabi, across 30 logically sequenced chapters. Working through these chapters, you will be able to make precise inferences while avoiding the pitfalls in applying various laws of Chemistry. The Step-by-Step solutions to the problems in the book train you in both- the general and specific problem-solving strategies essential for all those appearing in JEE Main & Advanced and all other Engineering Entrance Examinations or anyone who is interested to Problem Solving in Chemistry.

1. ‘Skill in Mathematics’ series is prepared for JEE Main and Advanced papers 2. It is a highly recommended textbook to develop a strong grounding in Coordinate Geometry 3. The book covers the entire syllabus into 7 chapters 4. Each chapter includes a wide range of questions that are asked in the examinations Good foundational grip is required in the Coordinate Geometry, while you are preparing for JEE Mains & Advanced or any other engineering. Bringing up the series “Skills in Mathematics for JEE Main & Advanced for Coordinate Geometry” that is carefully revised with the sessionwise theory and exercise; to help candidates to learn & tackle the mathematical problems. The book has 7 Chapters covering the whole syllabus for the JEE Mains and Advanced as prescribed. Each chapter is divided into sessions giving complete clarity to concepts. Apart from sessionwise theory, JEE Type examples and Chapter Exercise contain huge amount of questions that are provided in every chapter under Practice Part. Prepared under great expertise, it is a highly recommended textbook to develop a strong grounding in Algebra to perform best in JEE and various engineering entrances. TOC: Coordinate Systems and Coordinates, The Straight Lines, Pair of Straight Lines, Circle, Parabola, Ellipse, Hyperbola.

The primary objective of this book is to help students develop command over fundamentals and their application through challenging questions. In this book, only those problems have been selected, which in the opinion of Career Point Faculty team, are most important for mastering application of concepts. This book covers a variety of questions asked in the IIT JEE examination ~ be it MCQ (One or More than One correct choice), Numeric Response Type, Matrix match type, paragraph based questions etc. A mix of questions helps stimulate and strengthen question-solving skills of the student. The majority of questions are not easy; some of them are definitely difficult. We believe if you solve these questions on your own, you will achieve a higher degree of understanding of concepts. We would like to suggest that you should attempt this book only after you complete a chapter. This book is also used by Lakshya Batch students of Career Point to give a finishing touch to their preparation for JEE-Advanced Exam. We hope this book would immensely help genuine, hardworking students in sharpening their questions solving skills enabling them to achieve a seat in most prestigious colleges. We take this opportunity to express our deepest appreciation to CP Publishing team, who helped in the editing of the book. We will greatly appreciate if the users of this book will let us know about any errors or misprints that they may happen to encounter. We will incorporate the same in the subsequent editions. This book covers the complete Maths course for JEE Advanced.

Problems in Maths for JEE (Main & Advanced) by Career Point – Volume 2 is a collection of conceptual questions along with detailed solutions. These questions are thought-provoking and cover the application of various concepts in solving problems. Questions in this book are handpicked by experienced faculty members of Career Point to enhance the following skills of the students– 1. Understanding of concepts and their application to the grass-root level. 2. Improving their scoring ability & accuracy by providing an opportunity to practice a variety of questions. The book approaches the subject in a very conceptual and coherent manner. Chapter-wise varieties of questions are arranged in a sequential manner to build a strong foundation of fundamentals. The coverage and features of books make it highly useful for all those preparing for JEE (Main & Advanced) and aspiring to become IITians or NITians. The book is also useful for students who are preparing for KVPY and Olympiads. This volume consists of chapter wise challenging questions with detailed explanatory solutions from the following chapters for JEE- 1. Function 2. Inverse Trigonometric Functions 3. Limit 4. Continuity 5. Differentiation 6. Application of Derivatives # 1 (Tangent & Normal) 7. Application of Derivatives # 2 (Monotonicity) 8. Application of Derivatives # 3 (Maxima & Minima) 9. Indefinite Integration 10. Definite Integration 11. Area Under the Curve 12. Differential Equation 13. Probability 14. Determinants 15. Matrices 16. Vector 17. Three Dimensional Geometry (3D) Highlights: Improves student’s critical thinking & application of concepts in varied situations As per the requirement of JEE(Advanced) Improves self-learning hence enhances confidence and scoring ability Also useful for Olympiad and other high-level competitive exams Prepared by Career Point Kota classroom Faculty Team