Ib course book: higher level maths calculus. Per le Scuole superiori. Con espansione online

Torres-Skoumal, Marlene; Seiler, Palmira; Heinrichs, Lorraine; Harcet, Josip

ISBN 10: 0198304846 ISBN 13: 9780198304845

Casa editrice: Oxford University Press, 2015

Riassunto

A truly IB approach to mathematics

Su questo libro

Contenuti

• 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: Answers

Dettagli dell'edizione

• Editore: Oxford University Press
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 0198304846
• ISBN 13: 9780198304845
• Rilegatura: Pacchetto di prodotti
• Numero di pagine: 192
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile