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Mathematics Higher Level: Calculus course companion / Josip Harcet
Título : Mathematics Higher Level: Calculus course companion Tipo de documento: texto impreso Autores: Josip Harcet, Autor ; Lorraine Heinrichs, Autor ; Palmira Seiler, Autor ; Marlene Torres-Skoumal, Autor Editorial: Oxford [United Kingdom] : Oxford University Press Fecha de publicación: c2014 Número de páginas: 186 p. ISBN/ISSN/DL: 978-0-19-830484-5 Idioma : Inglés (eng) Etiquetas: POLINOMIOS DE TAYLOR SERIE TAYLOR Y MACLAURIN SERIE DE TAYLOR SECUENCIAS FUNCIONES SERIE DE POTENCIA INTEGRALES IMPROPIAS CONVERGENCIA TEOREMA DE COMPRESIÓN ÁLGEBRA SECUENCIAS CONVERGENTES SECUENCIAS DIVERGENTES FUNCIONES CONTINUAS FUNCIONES DIFERENCIALES REGLA DE L'HÔPITAL Clasificación: 515 CÁLCULO Resumen: Written by experienced IB workshop leaders, this book covers all the course content and essential practice needed for success in the Calculus Option for Higher Level. Enabling a truly IB approach to mathematics, real-world context is thoroughly blended with mathematical applications, supporting deep understanding and confident thinking skills. Nota de contenido: 1: Patterns to infinity
1.1: From limits of sequences to limits of functions
1.2: Squeeze theorem and the algebra of limits of convergent sequences
1.3: Divergent sequences: indeterminate forms and evaluation of limits
1.4: From limits of sequences to limits of functions
2: Smoothness in mathematics
2.1: Continuity and differentiability on an interval
2.2: Theorems about continuous functions
2.3: Differentiable functions: Rolle's Theorem and Mean Value Theorem
2.4: Limits at a point, indeterminate forms, and L'Hôpital's rule
2.5: What are smooth graphs of functions?
2.6: Limits of functions and limits of sequences
3: Modeling dynamic phenomena
3.1: Classifications of differential equations and their solutions
3.2: Differential Equations with separated variables
3.3: Separable variables differential Separable variables differential
3.4: Modeling of growth and decay phenomena
3.5: First order exact equations and integrating factors
3.6: Homogeneous differential equations and substitution methods
3.7: Euler Method for first order differential equations
4: The finite in the infinite
4.1: Series and convergence
4.2: Introduction to convergence tests for series
4.3: Improper Integrals
4.4: Integral test for convergence
4.5: The p-series test
4.6: Comparison test for convergence
4.7: Limit comparison test for convergence
4.8: Ratio test for convergence
4.9: Absolute convergence of series
4.10: Conditional convergence of series
5: Everything polynomic
5.1: Representing Functions by Power Series 1
5.2: Representing Power Series as Functions
5.3: Representing Functions by Power Series 2
5.4: Taylor Polynomials
5.5: Taylor and Maclaurin Series
5.6: Using Taylor Series to approximate functions
5.7: Useful applications of power series
6: AnswersMathematics Higher Level: Calculus course companion [texto impreso] / Josip Harcet, Autor ; Lorraine Heinrichs, Autor ; Palmira Seiler, Autor ; Marlene Torres-Skoumal, Autor . - Oxford (United Kingdom) : Oxford University Press, c2014 . - 186 p.
ISBN : 978-0-19-830484-5
Idioma : Inglés (eng)
Etiquetas: POLINOMIOS DE TAYLOR SERIE TAYLOR Y MACLAURIN SERIE DE TAYLOR SECUENCIAS FUNCIONES SERIE DE POTENCIA INTEGRALES IMPROPIAS CONVERGENCIA TEOREMA DE COMPRESIÓN ÁLGEBRA SECUENCIAS CONVERGENTES SECUENCIAS DIVERGENTES FUNCIONES CONTINUAS FUNCIONES DIFERENCIALES REGLA DE L'HÔPITAL Clasificación: 515 CÁLCULO Resumen: Written by experienced IB workshop leaders, this book covers all the course content and essential practice needed for success in the Calculus Option for Higher Level. Enabling a truly IB approach to mathematics, real-world context is thoroughly blended with mathematical applications, supporting deep understanding and confident thinking skills. Nota de contenido: 1: Patterns to infinity
1.1: From limits of sequences to limits of functions
1.2: Squeeze theorem and the algebra of limits of convergent sequences
1.3: Divergent sequences: indeterminate forms and evaluation of limits
1.4: From limits of sequences to limits of functions
2: Smoothness in mathematics
2.1: Continuity and differentiability on an interval
2.2: Theorems about continuous functions
2.3: Differentiable functions: Rolle's Theorem and Mean Value Theorem
2.4: Limits at a point, indeterminate forms, and L'Hôpital's rule
2.5: What are smooth graphs of functions?
2.6: Limits of functions and limits of sequences
3: Modeling dynamic phenomena
3.1: Classifications of differential equations and their solutions
3.2: Differential Equations with separated variables
3.3: Separable variables differential Separable variables differential
3.4: Modeling of growth and decay phenomena
3.5: First order exact equations and integrating factors
3.6: Homogeneous differential equations and substitution methods
3.7: Euler Method for first order differential equations
4: The finite in the infinite
4.1: Series and convergence
4.2: Introduction to convergence tests for series
4.3: Improper Integrals
4.4: Integral test for convergence
4.5: The p-series test
4.6: Comparison test for convergence
4.7: Limit comparison test for convergence
4.8: Ratio test for convergence
4.9: Absolute convergence of series
4.10: Conditional convergence of series
5: Everything polynomic
5.1: Representing Functions by Power Series 1
5.2: Representing Power Series as Functions
5.3: Representing Functions by Power Series 2
5.4: Taylor Polynomials
5.5: Taylor and Maclaurin Series
5.6: Using Taylor Series to approximate functions
5.7: Useful applications of power series
6: AnswersEjemplares
Código de barras Signatura Tipo de medio Ubicación Sección Estado L08595 515 HARc Libro Secundaria CIENCIAS Disponible Mathematics Higher Level for the IB Diploma: Exam Preparation Guide / Paul Fannon
Título : Mathematics Higher Level for the IB Diploma: Exam Preparation Guide Tipo de documento: texto impreso Autores: Paul Fannon, Autor ; Vesna Kadelburg, Autor ; Ben Woolley, Autor ; Stephen Ward, Autor Editorial: Cambridge [Inglaterra] : Cambridge University Press Fecha de publicación: c2014 Número de páginas: 191 p. ISBN/ISSN/DL: 978-1-10-767215-4 Idioma : Inglés (eng) Etiquetas: PRINCIPIOS DE CONTEO EXPONENCIALES Y REGISTROS POLINOMIOS FUNCIONES SECUENCIAS Y SERIES TRIGONOMETRÍA VECTORES NÚMEROS COMPLEJOS DIFERENCIACIÓN INTEGRACIÓN PROBABILIDAD Y ESTADÍSTICA Clasificación: 510 MATEMÁTICAS Resumen: Mathematics Higher Level for the IB Diploma: Exam Preparation Guide focuses on 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. Nota de contenido: Introduction
Additional advice
1. Counting principles
2. Exponentials and logs
3. Polynomials
4. Functions
5. Sequences and series
6. Trigonometry
7. Vectors
8. Complex numbers
9. Differentiation
10. Integration
11. Probability and statistics
12. Induction
Answers
Worked solutions.Mathematics Higher Level for the IB Diploma: Exam Preparation Guide [texto impreso] / Paul Fannon, Autor ; Vesna Kadelburg, Autor ; Ben Woolley, Autor ; Stephen Ward, Autor . - Cambridge (Inglaterra) : Cambridge University Press, c2014 . - 191 p.
ISBN : 978-1-10-767215-4
Idioma : Inglés (eng)
Etiquetas: PRINCIPIOS DE CONTEO EXPONENCIALES Y REGISTROS POLINOMIOS FUNCIONES SECUENCIAS Y SERIES TRIGONOMETRÍA VECTORES NÚMEROS COMPLEJOS DIFERENCIACIÓN INTEGRACIÓN PROBABILIDAD Y ESTADÍSTICA Clasificación: 510 MATEMÁTICAS Resumen: Mathematics Higher Level for the IB Diploma: Exam Preparation Guide focuses on 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. Nota de contenido: Introduction
Additional advice
1. Counting principles
2. Exponentials and logs
3. Polynomials
4. Functions
5. Sequences and series
6. Trigonometry
7. Vectors
8. Complex numbers
9. Differentiation
10. Integration
11. Probability and statistics
12. Induction
Answers
Worked solutions.Ejemplares
Código de barras Signatura Tipo de medio Ubicación Sección Estado L08590 510 FANm Libro Secundaria CIENCIAS Disponible Mathematics Higher Level Topic 9 - Option: Calculus for the IB diploma / Paul Fannon
Título : Mathematics Higher Level Topic 9 - Option: Calculus for the IB diploma Tipo de documento: texto impreso Autores: Paul Fannon, Autor ; Vesna Kadelburg, Autor ; Ben Woolley, Autor ; Stephen Ward, Autor Editorial: Cambridge [Inglaterra] : Cambridge University Press Fecha de publicación: c2013 Número de páginas: 180 p. ISBN/ISSN/DL: 978-1-10-763289-9 Idioma : Inglés (eng) Etiquetas: LÍMITES DE SECUENCIAS FUNCIONES INTEGRALES SERIES INFINITAS SERIE MACLAURIN SERIE TAYLOR ECUACIONES DIFERENCIALES Clasificación: 515 CÁLCULO Resumen: This title forms part of the completely new Mathematics for the IB Diploma series. This highly illustrated book covers topic 9 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Calculus. It is also for use with the further mathematics course. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a dedicated chapter exclusively for mixed examination practice; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes throughout of exam hints and tips.
Mathematics Higher Level Topic 9 - Option: Calculus is a fantastic guide to the material in this option, no matter which book is being used to cover the core material.
Mathematics Higher Level Topic 9 - Option: Calculus for the IB diploma [texto impreso] / Paul Fannon, Autor ; Vesna Kadelburg, Autor ; Ben Woolley, Autor ; Stephen Ward, Autor . - Cambridge (Inglaterra) : Cambridge University Press, c2013 . - 180 p.
ISBN : 978-1-10-763289-9
Idioma : Inglés (eng)
Etiquetas: LÍMITES DE SECUENCIAS FUNCIONES INTEGRALES SERIES INFINITAS SERIE MACLAURIN SERIE TAYLOR ECUACIONES DIFERENCIALES Clasificación: 515 CÁLCULO Resumen: This title forms part of the completely new Mathematics for the IB Diploma series. This highly illustrated book covers topic 9 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Calculus. It is also for use with the further mathematics course. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a dedicated chapter exclusively for mixed examination practice; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes throughout of exam hints and tips.
Mathematics Higher Level Topic 9 - Option: Calculus is a fantastic guide to the material in this option, no matter which book is being used to cover the core material.
Ejemplares
Código de barras Signatura Tipo de medio Ubicación Sección Estado L08594 515 FANc Libro Secundaria CIENCIAS Disponible Mathematics Standard Level for the IB Diploma: Exam Preparation Guide / Paul Fannon
Título : Mathematics Standard Level for the IB Diploma: Exam Preparation Guide Tipo de documento: texto impreso Autores: Paul Fannon, Autor ; Vesna Kadelburg, Autor ; Ben Woolley, Autor ; Stephen Ward, Autor Editorial: Cambridge [Inglaterra] : Cambridge University Press Fecha de publicación: c2014 Número de páginas: 148 p. ISBN/ISSN/DL: 978-1-10-765315-3 Idioma : Inglés (eng) Etiquetas: POLINOMIOS EXPONENCIALES REGISTROS FUNCIONES SECUENCIAS SERIES TRIGONOMETRÍA VECTORES DIFERENCIACIÓN INTEGRACIÓN ESTADÍSTICAS DESCRIPTIVAS PROBABILIDAD Clasificación: 510 MATEMÁTICAS Resumen: 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. Nota de contenido: Introduction
Additional advice
1. Polynomials
2. Exponentials and logs
3. Functions
4. Sequences and series
5. Trigonometry
6. Vectors
7. Differentiation
8. Integration
9. Descriptive statistics
10. Probability
Answers
Worked solutions.Mathematics Standard Level for the IB Diploma: Exam Preparation Guide [texto impreso] / Paul Fannon, Autor ; Vesna Kadelburg, Autor ; Ben Woolley, Autor ; Stephen Ward, Autor . - Cambridge (Inglaterra) : Cambridge University Press, c2014 . - 148 p.
ISBN : 978-1-10-765315-3
Idioma : Inglés (eng)
Etiquetas: POLINOMIOS EXPONENCIALES REGISTROS FUNCIONES SECUENCIAS SERIES TRIGONOMETRÍA VECTORES DIFERENCIACIÓN INTEGRACIÓN ESTADÍSTICAS DESCRIPTIVAS PROBABILIDAD Clasificación: 510 MATEMÁTICAS Resumen: 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. Nota de contenido: Introduction
Additional advice
1. Polynomials
2. Exponentials and logs
3. Functions
4. Sequences and series
5. Trigonometry
6. Vectors
7. Differentiation
8. Integration
9. Descriptive statistics
10. Probability
Answers
Worked solutions.Ejemplares
Código de barras Signatura Tipo de medio Ubicación Sección Estado L08591 510 FANma Libro Secundaria CIENCIAS Disponible