Oxford IB Diploma Programme: Mathematics Higher Level: Calculus Course Companion
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Product details:
- Edition number and title :Mathematics Higher Level: Calculus Course Companion
- Publisher OUP Oxford
- Date of Publication 18 September 2014
- ISBN 9780198304845
- Binding Paperback
- No. of pages192 pages
- Size 255x198x9 mm
- Weight 410 g
- Language English
- Illustrations Colour 0
Categories
Short description:
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.
MoreLong description:
Written by experienced IB workshop leaders and curriculum developers, 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 instilling confident mathematical thinking skills. Exam support is integrated, building assessment potential.
*Directly linked to the Oxford Higher Level Course Book, naturally extending learning
*Drive a truly IB approach to mathematics, helping learners connect mathematical theory with the world around them
*The most comprehensive, accurately matched to the most recent syllabus, written by experienced workshop leaders
*Build essential mathematical skills with extensive practice enabling confident skills-development
*Cement assessment potential, with examiner guidance and exam questions driving confidence in every topic
*Complete worked solutions included online
About the series:
The only DP resources developed directly with the IB, the Oxford IB Course Books are the most comprehensive core resources to support learners through their study. Fully incorporating the learner profile, resources are assessed by consulting experts in international-mindedness and TOK to ensure these crucial components are deeply embedded into learning.
Table of Contents:
Patterns to infinity
From limits of sequences to limits of functions
Squeeze theorem and the algebra of limits of convergent sequences
Divergent sequences: indeterminate forms and evaluation of limits
From limits of sequences to limits of functions
Smoothness in mathematics
Continuity and differentiability on an interval
Theorems about continuous functions
Differentiable functions: Rolle's Theorem and Mean Value Theorem
Limits at a point, indeterminate forms, and L'Hôpital's rule
What are smooth graphs of functions?
Limits of functions and limits of sequences
Modeling dynamic phenomena
Classifications of differential equations and their solutions
Differential Equations with separated variables
Separable variables differential Separable variables differential
Modeling of growth and decay phenomena
First order exact equations and integrating factors
Homogeneous differential equations and substitution methods
Euler Method for first order differential equations
The finite in the infinite
Series and convergence
Introduction to convergence tests for series
Improper Integrals
Integral test for convergence
The p-series test
Comparison test for convergence
Limit comparison test for convergence
Ratio test for convergence
Absolute convergence of series
Conditional convergence of series
Everything polynomic
Representing Functions by Power Series 1
Representing Power Series as Functions
Representing Functions by Power Series 2
Taylor Polynomials
Taylor and Maclaurin Series
Using Taylor Series to approximate functions
Useful applications of power series
Answers
