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GRADE 12 – UNIT 2: INTRODUCTION TO CALCULUS

By The Atenu Team Categories: Mathematics
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About Course

This unit introduces fundamental concepts of calculus, focusing on understanding rates of change, derivatives, and integrals.The unit also introduces students to key concepts such as anti-derivatives, definite and indefinite integrals, and fundamental calculus theorems. It aims to build foundational skills that are essential for analyzing dynamic systems and solving a wide range of practical problems in diverse fields.

What Will You Learn?

  • Deduce and calculate the rate of change of various quantities.
  • Understand the concept of the gradient of functions at specific points.
  • Analyze both geometrical and mechanical interpretations of derivatives.
  • Use gradient methods to find derivatives of simple functions.
  • Calculate the area under curves bounded by functions and the x-axis on a given interval.
  • Grasp the concept of definite integrals and their applications.
  • Appreciate the real-world significance of derivatives and integrals in solving problems.
  • Apply integral calculus to solve practical mathematical problems encountered in everyday life.
  • Use the concept of derivatives to address problems in business, economics, and road taxation.

Course Content

Unit 2: Introduction to Calculus

  • Rate of Change, Gradient
  • Derivatives of Common Functions
  • Derivatives of Combinations of Functions
  • Chain Rule
  • Tangent Line & Normal Line
  • Finding Maximum & Minimum Points
  • Anti-Derivatives & Integration
  • Fundamental Theorem of Calculus & Definite Integrals
  • Applications in Daily Life

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The Atenu Team
The Atenu Team
5 months ago
This is a good course
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