Author: Lee Jun Cai
Publisher: AcesMath!
ISBN:
Category : Education
Languages : en
Pages : 54
Book Description
Confused about the various concepts on Transformation and Graphs taught in school? This book on Transformation and Graphs seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (HL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.
Transformation and Graphs (IB Math)
Author: Lee Jun Cai
Publisher: AcesMath!
ISBN:
Category : Education
Languages : en
Pages : 54
Book Description
Confused about the various concepts on Transformation and Graphs taught in school? This book on Transformation and Graphs seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (HL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.
Publisher: AcesMath!
ISBN:
Category : Education
Languages : en
Pages : 54
Book Description
Confused about the various concepts on Transformation and Graphs taught in school? This book on Transformation and Graphs seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (HL), alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.
Mathematics Higher Level for the IB Diploma
Author: Paul Fannon
Publisher: Cambridge University Press
ISBN: 1107661730
Category : International baccalaureate
Languages : en
Pages : 929
Book Description
Publisher: Cambridge University Press
ISBN: 1107661730
Category : International baccalaureate
Languages : en
Pages : 929
Book Description
Mathematics Higher Level for the IB Diploma Exam Preparation Guide
Author: Paul Fannon
Publisher: Cambridge University Press
ISBN: 1107672155
Category : Juvenile Nonfiction
Languages : en
Pages : 200
Book Description
A new series of Exam Preparation guides for the IB Diploma Mathematics HL and SL and Mathematical Studies. This exam preparation guide for the core content of the IB Diploma Mathematics Higher Level course and breaks the course down into chapters that summarise material and present revision questions by exam question type, so that revision can be highly focused to make best use of students' time. Students can stretch themselves to achieve their best with 'going for the top' questions for those who want to achieve the highest results. Worked solutions for all the mixed and 'going for the top' questions are included, plus exam hints throughout. Guides for Mathematics Standard Level and Mathematical Studies are also available.
Publisher: Cambridge University Press
ISBN: 1107672155
Category : Juvenile Nonfiction
Languages : en
Pages : 200
Book Description
A new series of Exam Preparation guides for the IB Diploma Mathematics HL and SL and Mathematical Studies. This exam preparation guide for the core content of the IB Diploma Mathematics Higher Level course and breaks the course down into chapters that summarise material and present revision questions by exam question type, so that revision can be highly focused to make best use of students' time. Students can stretch themselves to achieve their best with 'going for the top' questions for those who want to achieve the highest results. Worked solutions for all the mixed and 'going for the top' questions are included, plus exam hints throughout. Guides for Mathematics Standard Level and Mathematical Studies are also available.
Mathematics Standard Level for IB Diploma Exam Preparation Guide
Author: Paul Fannon
Publisher: Cambridge University Press
ISBN: 1107653150
Category : Juvenile Nonfiction
Languages : en
Pages : 158
Book Description
A new series of Exam Preparation guides for the IB Diploma Mathematics HL and SL and Mathematical Studies. This exam preparation guide for the IB Diploma Mathematics Standard Level course breaks the course down into chapters that summarise material and present revision questions by exam question type, so that revision can be highly focused to make best use of students' time. Students can stretch themselves to achieve their best with 'going for the top' questions for those who want to achieve the highest results. Worked solutions for all the mixed and 'going for the top' questions are included, plus exam hints throughout. Guides for Mathematics Higher Level and Mathematical Studies are also available.
Publisher: Cambridge University Press
ISBN: 1107653150
Category : Juvenile Nonfiction
Languages : en
Pages : 158
Book Description
A new series of Exam Preparation guides for the IB Diploma Mathematics HL and SL and Mathematical Studies. This exam preparation guide for the IB Diploma Mathematics Standard Level course breaks the course down into chapters that summarise material and present revision questions by exam question type, so that revision can be highly focused to make best use of students' time. Students can stretch themselves to achieve their best with 'going for the top' questions for those who want to achieve the highest results. Worked solutions for all the mixed and 'going for the top' questions are included, plus exam hints throughout. Guides for Mathematics Higher Level and Mathematical Studies are also available.
BREAKDOWN OF MATHEMATICS STANDARD LEVEL FOR THE IB DIPLOMA
Author: Wei ZHANG
Publisher: Pilot Education and Migration Pty Ltd
ISBN:
Category : Mathematics
Languages : en
Pages : 355
Book Description
I was a student for more than 20 years, and I have taught hundreds of students since I became a tutor and then a lecturer. Throughout my study and teaching, I have witnessed that many of my classmates or students failed their exams. Some of them may have used time-consuming methods and have not completed all the questions, some of them may have had no idea about using appropriate formulae, or some of them may have skipped essential steps and just given the final results. All these behaviours result in losing marks. With these points in mind, using proper and efficient methods and giving correct and complete responses to questions play a significant role in sitting for the test. As a student, it is very important to analyse what the examiners are testing you in their places. For example, a question worth four marks may be broken down as one mark for showing appropriate method or formula, one mark for substituting the corresponding values into the formula, one mark for working and one mark for finding correct value at the end. In this case, to obtain full marks at least four steps are necessary, and one or two more steps are recommended to improve the chance of obtaining full marks. In this book, I summarise all the knowledge required for standard level mathematics for IB diploma. Some words are written in colour or bold to draw your attention where I think it is important or confusing. Some pragmatic and efficient methods for tests are introduced by some examples where students often have trouble or make mistakes based on my teaching experience. The questions from the papers in the last two years are taken as examples to show a detailed breakdown of marking including the reasons or explanations for each mark. These real test questions may also help you to realise the importance of a section if you find more questions there. In some examples, a solution is given step by step for a non-calculator question, and a shortcut by a graphing calculator is also demonstrated since a similar question may appear on Paper 2. A Ti-84 Plus Silver graphing calculator is used for demonstration because I think it is a little more complicated compared with the Casio calculators. The relevant pre-knowledge is also given in Chapter 1 as a brief revision. All in all, solving questions is just like giving your viewpoints by showing your reasons logically but in a mathematical way. Wei ZHANG PhD in Physics PhD in Electrical Engineering
Publisher: Pilot Education and Migration Pty Ltd
ISBN:
Category : Mathematics
Languages : en
Pages : 355
Book Description
I was a student for more than 20 years, and I have taught hundreds of students since I became a tutor and then a lecturer. Throughout my study and teaching, I have witnessed that many of my classmates or students failed their exams. Some of them may have used time-consuming methods and have not completed all the questions, some of them may have had no idea about using appropriate formulae, or some of them may have skipped essential steps and just given the final results. All these behaviours result in losing marks. With these points in mind, using proper and efficient methods and giving correct and complete responses to questions play a significant role in sitting for the test. As a student, it is very important to analyse what the examiners are testing you in their places. For example, a question worth four marks may be broken down as one mark for showing appropriate method or formula, one mark for substituting the corresponding values into the formula, one mark for working and one mark for finding correct value at the end. In this case, to obtain full marks at least four steps are necessary, and one or two more steps are recommended to improve the chance of obtaining full marks. In this book, I summarise all the knowledge required for standard level mathematics for IB diploma. Some words are written in colour or bold to draw your attention where I think it is important or confusing. Some pragmatic and efficient methods for tests are introduced by some examples where students often have trouble or make mistakes based on my teaching experience. The questions from the papers in the last two years are taken as examples to show a detailed breakdown of marking including the reasons or explanations for each mark. These real test questions may also help you to realise the importance of a section if you find more questions there. In some examples, a solution is given step by step for a non-calculator question, and a shortcut by a graphing calculator is also demonstrated since a similar question may appear on Paper 2. A Ti-84 Plus Silver graphing calculator is used for demonstration because I think it is a little more complicated compared with the Casio calculators. The relevant pre-knowledge is also given in Chapter 1 as a brief revision. All in all, solving questions is just like giving your viewpoints by showing your reasons logically but in a mathematical way. Wei ZHANG PhD in Physics PhD in Electrical Engineering
Mathematics Standard Level for the IB Diploma
Author: Paul Fannon
Publisher: Cambridge University Press
ISBN: 110761306X
Category : International baccalaureate
Languages : en
Pages : 681
Book Description
This title forms part of the completely new Mathematics for the IB Diploma series. This highly illustrated coursebook, available in both print and e-book formats, has been written to specifically cover the new IB Standard Level syllabus. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a dedicated chapter exclusively for combined exercises; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes of hints and tips. The print book includes a CD-ROM providing a complete e-version of the book, extension worksheets, prior learning sheets, calculator skills sheets and fill-in proofs. These additional materials are also included in the e-book version.
Publisher: Cambridge University Press
ISBN: 110761306X
Category : International baccalaureate
Languages : en
Pages : 681
Book Description
This title forms part of the completely new Mathematics for the IB Diploma series. This highly illustrated coursebook, available in both print and e-book formats, has been written to specifically cover the new IB Standard Level syllabus. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a dedicated chapter exclusively for combined exercises; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes of hints and tips. The print book includes a CD-ROM providing a complete e-version of the book, extension worksheets, prior learning sheets, calculator skills sheets and fill-in proofs. These additional materials are also included in the e-book version.
Graph Transformation
Author: Juan de Lara
Publisher: Springer
ISBN: 3319614703
Category : Computers
Languages : en
Pages : 239
Book Description
This book constitutes the refereed proceedings of the 10th International Conference on Graph Transformation, ICGT 2017, held as part of STAF 2017, in Marburg, Germany, in July 2017. The 14 papers presented were carefully reviewed and selected from 23 submissions. The papers cover a wide range of topics including theoretical approaches to graph transformation and their verification, model-driven engineering, chemical reactions as well as various applications. They are organized in the following topical sections: foundations; graph language and parsing; analysis and verification; and model transformation and tools.
Publisher: Springer
ISBN: 3319614703
Category : Computers
Languages : en
Pages : 239
Book Description
This book constitutes the refereed proceedings of the 10th International Conference on Graph Transformation, ICGT 2017, held as part of STAF 2017, in Marburg, Germany, in July 2017. The 14 papers presented were carefully reviewed and selected from 23 submissions. The papers cover a wide range of topics including theoretical approaches to graph transformation and their verification, model-driven engineering, chemical reactions as well as various applications. They are organized in the following topical sections: foundations; graph language and parsing; analysis and verification; and model transformation and tools.
Graph Transformation
Author: Francesco Parisi-Presicce
Publisher: Springer
ISBN: 3319211455
Category : Computers
Languages : en
Pages : 292
Book Description
This book constitutes the proceedings of the 8th International Conference on Graph Transformations, ICGT 2015, held in L'Aquila, Italy, in July 2015. The 15 full papers presented together with 3 short papers and 1 keynote were carefully reviewed and selected from 27 submissions. The papers are organized in topical sections on foundations; applications: technical papers, and tool presentations.
Publisher: Springer
ISBN: 3319211455
Category : Computers
Languages : en
Pages : 292
Book Description
This book constitutes the proceedings of the 8th International Conference on Graph Transformations, ICGT 2015, held in L'Aquila, Italy, in July 2015. The 15 full papers presented together with 3 short papers and 1 keynote were carefully reviewed and selected from 27 submissions. The papers are organized in topical sections on foundations; applications: technical papers, and tool presentations.
Graph Transformation (A'level H2 Math)
Author: Lee Jun Cai
Publisher: AcesMath!
ISBN:
Category : Mathematics
Languages : en
Pages : 53
Book Description
Confused about the various graph transformation taught in school? This book on Graph Transformation seeks to offer a condensed version of what you need to know for A-Levels H2 Mathematics, alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.
Publisher: AcesMath!
ISBN:
Category : Mathematics
Languages : en
Pages : 53
Book Description
Confused about the various graph transformation taught in school? This book on Graph Transformation seeks to offer a condensed version of what you need to know for A-Levels H2 Mathematics, alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.
k-Inductive invariant checking for graph transformation systems
Author: Dyck, Johannes
Publisher: Universitätsverlag Potsdam
ISBN: 3869564067
Category :
Languages : en
Pages : 52
Book Description
While offering significant expressive power, graph transformation systems often come with rather limited capabilities for automated analysis, particularly if systems with many possible initial graphs and large or infinite state spaces are concerned. One approach that tries to overcome these limitations is inductive invariant checking. However, the verification of inductive invariants often requires extensive knowledge about the system in question and faces the approach-inherent challenges of locality and lack of context. To address that, this report discusses k-inductive invariant checking for graph transformation systems as a generalization of inductive invariants. The additional context acquired by taking multiple (k) steps into account is the key difference to inductive invariant checking and is often enough to establish the desired invariants without requiring the iterative development of additional properties. To analyze possibly infinite systems in a finite fashion, we introduce a symbolic encoding for transformation traces using a restricted form of nested application conditions. As its central contribution, this report then presents a formal approach and algorithm to verify graph constraints as k-inductive invariants. We prove the approach's correctness and demonstrate its applicability by means of several examples evaluated with a prototypical implementation of our algorithm.
Publisher: Universitätsverlag Potsdam
ISBN: 3869564067
Category :
Languages : en
Pages : 52
Book Description
While offering significant expressive power, graph transformation systems often come with rather limited capabilities for automated analysis, particularly if systems with many possible initial graphs and large or infinite state spaces are concerned. One approach that tries to overcome these limitations is inductive invariant checking. However, the verification of inductive invariants often requires extensive knowledge about the system in question and faces the approach-inherent challenges of locality and lack of context. To address that, this report discusses k-inductive invariant checking for graph transformation systems as a generalization of inductive invariants. The additional context acquired by taking multiple (k) steps into account is the key difference to inductive invariant checking and is often enough to establish the desired invariants without requiring the iterative development of additional properties. To analyze possibly infinite systems in a finite fashion, we introduce a symbolic encoding for transformation traces using a restricted form of nested application conditions. As its central contribution, this report then presents a formal approach and algorithm to verify graph constraints as k-inductive invariants. We prove the approach's correctness and demonstrate its applicability by means of several examples evaluated with a prototypical implementation of our algorithm.