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  • Oxford IB Diploma Programme: Mathematics Higher Level: Calculus Course Companion

    Oxford IB Diploma Programme: Mathematics Higher Level: Calculus Course Companion by Torres-Skoumal, Marlene; Seiler, Palmira; Heinrichs, Lorraine;

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    A termék adatai:

    • Kiadás sorszáma és címe :Mathematics Higher Level: Calculus Course Companion
    • Kiadó OUP Oxford
    • Megjelenés dátuma 2014. szeptember 18.

    • ISBN 9780198304845
    • Kötéstípus Puhakötés
    • Terjedelem192 oldal
    • Méret 255x198x9 mm
    • Súly 410 g
    • Nyelv angol
    • Illusztrációk Colour
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    Rövid leírás:

    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.

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    Hosszú leírás:

    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.

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    Tartalomjegyzék:

    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
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