Advanced Problems in Mathematics: Preparing for University

Front Cover
Open Book Publishers, Oct 28, 2019 - Mathematics - 186 pages

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.

 

Selected pages

Contents

Common terms and phrases

angle answer approximation asked calculating called circle completely condition consider constant course curve derivative diagram differential difficult distance distribution equal equation exactly examination example expected expression fact factor final follows forces formula fractions function geometric given gives going graph greater Hence holds idea inequality integral intersection less limits look mass mathematics means method negative Note obtain obvious original Paper II Comments particle plane positive possible Post-mortem prime probability proof prove quadratic question random range result roots round satisfies side sketch Solution to problem solve speed square starting stationary point STEP substitution Suppose thing thought turning understand variable write zero

About the author (2019)

Stephen Siklos was a fellow of Jesus College, Cambridge. He worked in Cambridge University’s Faculty of Mathematics, where his main area of research was Einstein’s theory of general relativity and where he acted as Admissions Officer. He had a particular interest in the transition from school to university mathematics and for over thirty years presided over the STEP examinations, used as a qualification for undergraduate admissions by some of the top UK university mathematics departments.

Bibliographic information

TitleAdvanced Problems in Mathematics: Preparing for University
Volume 4 of OBP Series in Mathematics
AuthorStephen Siklos
PublisherOpen Book Publishers, 2019
ISBN1783747773, 9781783747771
Length186 pages
Subjects ›  › 

Juvenile Nonfiction / Mathematics / General
Mathematics / Calculus
Mathematics / General
Mathematics / Geometry / General
Mathematics / Probability & Statistics / General
  
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