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Senior Maths - Calculus

Senior Maths - Calculus


 
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Our Price: AUD$57.50 Inc GST
Resource Type: Secondary Teacher Resource Subject: Mathematics
School Level: Senior Secondary Years 11-12

Stock Status:  * In Stock *
Availability: Usually Ships 3-6 Business Days for Australian Orders
Product Code: 9781921015458

Description Authors
 
Senior Maths: Calculus has been written to provide comprehensive coverage of selected topics from the senior mathematics syllabus. This book concentrates on Calculus. Each worksheet has been carefully graded with the more difficult questions towards the end of each set. Where appropriate, exercises include a worked example to show the most common methods of working.
Challenging and practical activities that are designed to assist students of all levels of ability to extend and revise their understanding of core curriculum topics.

Topics include:
  • Limits
  • Differentiation from first principles
  • Basic differentiation
  • Gradient function and angle of inclination
  • Equations of tangents and normals
  • Differentiation with rational powers
  • Differentiation – Product Rule, Quotient Rule, Chain Rule
  • Increasing and decreasing functions
  • Local (relative) maxima and minima and horizontal points of inflection
  • Using the first derivative
  • The second derivative
  • Concavity and the second derivative
  • Maxima, minima and points of inflection using the second derivative
  • Curve sketching using the first and second derivative
  • Finding maxima and minima
  • Maxima and minima problems
  • Primitive functions (anti-differentiation)
  • Indefinite integrals
  • Definite integrals
  • Area between a curve and the X-axis
  • Area between a curve and the Y-axis and area between two curves
  • Simpson’s Rule and the Trapezoidal Rule
  • Derivatives of logarithmic and exponential functions
  • Integration of logarithmic and exponential functions
  • Further logarithmic and exponential Functions
  • Differentiation of trigonometric functions
  • Integration of trigonometric functions
  • Volumes of solids of revolution
  • Displacements
  • Velocity and acceleration

This checklist highlights the major uses and benefits of the books:

Versatile Uses
Supplementary classroom lessons
Homework activities
Reinforcement of learning
Extension work for advanced students
Preparation for assessment
Exam revision


Teaching Benefits
Creative teaching ideas
Developing greater student interest and understanding
A fresh approach to a topic or lesson
A way of targeting student weaknesses
Suitable for individual or group work
A variety of activities for home study

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