E-Book, Englisch, 112 Seiten, Web PDF
Pratt / Schofield Model Answers in Pure Mathematics for A-Level Students
1. Auflage 2014
ISBN: 978-1-4831-5556-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
The Commonwealth and International Library: Commonwealth Library of Model Answers
E-Book, Englisch, 112 Seiten, Web PDF
ISBN: 978-1-4831-5556-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
Model Answers in Pure Mathematics for A-Level Students provides a set of solutions that indicate what is required and expected in an Advanced Level examination in Pure Mathematics. This book serves as a guide to the length of answer required, layout of the solution, and methods of selecting the best approach to any particular type of math problem. This compilation intends to supplement, not replace, the normal textbook and provides a varied selection of questions for practice in addition to the worked solutions. The subjects covered in this text include algebra, trigonometry, coordinate geometry, and calculus. This publication is valuable to students; working through and coping with the practice questions will help them face advanced mathematical examinations with confidence.
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Model Answers in Pure Mathematics for A-Level Students;4
3;Copyright Page;5
4;Table of Contents;6
5;ACKNOWLEDGEMENTS;7
6;INTRODUCTION;8
7;PART I: ALGEBRA;10
7.1;CHAPTER 1. SOLUTION OF EQUATIONS;10
7.1.1;Question 1;10
7.1.2;Practice Questions;11
7.2;CHAPTER 2. ROOTS OF QUADRATIC EQUATIONS;13
7.2.1;Question 2;13
7.2.2;Practice Questions;14
7.3;CHAPTER 3. ROOTS OF CUBIC EQUATIONS;16
7.3.1;Question 3;16
7.3.2;Practice Questions;17
7.4;CHAPTER 4. APPROXIMATION TO THE ROOT OF AN EQUATION;19
7.4.1;Question 4;19
7.4.2;Practice Questions;20
7.5;CHAPTER 5. DETERMINATION OF LAWS;22
7.5.1;Question 5;22
7.5.2;Practice Questions;23
7.6;CHAPTER 6. PERMUTATIONS, COMBINATIONS AND PROBABILITY;25
7.6.1;Question 6;25
7.6.2;Practice Questions;26
7.6.3;Question 7;27
7.6.4;Practice Questions;28
7.7;CHAPTER 7. IDENTITIES;30
7.7.1;Question 8;30
7.7.2;Practice Questions;31
7.8;CHAPTER 8. IDENTITIES AND INEQUALITIES;33
7.8.1;Question 9;33
7.8.2;Practice Questions;34
7.9;CHAPTER 9. SERIES;36
7.9.1;Question 10;36
7.9.2;Practice Questions;37
7.10;CHAPTER 10. PARTIAL FRACTIONS AND THE BINOMIAL THEOREM;39
7.10.1;Question 11;39
7.10.2;Practice Questions;40
7.11;CHAPTER 11. SERIES AND LOGARITHMS;42
7.11.1;Question 12;42
7.11.2;Practice Questions;43
8;PART II: TRIGONOMETRY;44
8.1;CHAPTER 12. TRIGONOMETRICAL IDENTITIES;44
8.1.1;Question 13;44
8.1.2;Practice Questions;45
8.2;CHAPTER 13. TRIGONOMETRICAL EQUATIONS;47
8.2.1;Question 14;47
8.2.2;Practice Questions;48
8.3;CHAPTER 14. INVERSE TRIGONOMETRICAL FUNCTIONS;50
8.3.1;Question 15;50
8.3.2;Practice Questions;51
8.4;CHAPTER 15. MORE TRIGONOMETRICAL IDENTITIES AND EQUATIONS;53
8.4.1;Question 16;53
8.4.2;Practice Questions;54
8.5;CHAPTER 16. CIRCLES OF A TRIANGLE;56
8.5.1;Question 17;56
8.5.2;Practice Questions;57
8.6;CHAPTER 17. TRIGONOMETRICAL PROBLEMS;59
8.6.1;Question 18;59
8.6.2;Practice Questions;60
8.6.3;Question 19;61
8.6.4;Practice Questions;62
8.7;CHAPTER 18. THREE-DIMENSIONAL PROBLEMS;64
8.7.1;Question 20;64
8.7.2;Practice Questions;65
8.8;CHAPTER 19. THREE-DIMENSIONAL GEOMETRY;67
8.8.1;Question 21;67
8.8.2;Practice Questions;68
8.9;CHAPTER 20. SPHERES AND CONES;69
8.9.1;Question 22;69
8.9.2;Practice Questions;70
9;PART III: COORDINATE GEOMETRY;72
9.1;CHAPTER 21. STRAIGHT LINE;72
9.1.1;Question 23;72
9.1.2;Practice Questions;74
9.2;CHAPTER 22. CIRCLE;76
9.2.1;Question 24;76
9.2.2;Practice Questions;77
9.3;CHAPTER 23. PARABOLA;79
9.3.1;Question 25;79
9.3.2;Practice Questions;80
9.4;CHAPTER 24. ELLIPSE;82
9.4.1;Question 26;82
9.4.2;Practice Questions;83
9.5;CHAPTER 25. HYPERBOLA;85
9.5.1;Question 27;85
9.5.2;Practice Questions;86
9.6;CHAPTER 26. TWO CONICS;88
9.6.1;Question 28;88
9.6.2;Practice Questions;89
10;PART IV: CALCULUS;91
10.1;CHAPTER 27. DIFFERENTIATION;91
10.1.1;Question 29;91
10.1.2;Practice Questions;92
10.2;CHAPTER 28. DIFFERENTIATION APPLIED TO GRAPHS;94
10.2.1;Question 30;94
10.2.2;Practice Questions;95
10.3;CHAPTER 29. STATIONARY VALUES;97
10.3.1;Question 31;97
10.3.2;Practice Questions;98
10.4;CHAPTER 30. DIFFERENTIATION AND INTEGRATION;100
10.4.1;Question 32;100
10.4.2;Practice Questions;101
10.5;CHAPTER 31. INTEGRATION;103
10.5.1;Question 33;103
10.5.2;Practice Questions;104
10.6;CHAPTER 32. AREAS;106
10.6.1;Question 34;106
10.6.2;Practice Questions;108
10.7;CHAPTER 33. APPLICATIONS OF INTEGRATION;110
10.7.1;Question 35;110
10.7.2;Practice Questions;111




