P3/Pure Mathematics 3(A2) > A레벨_A2

과정소개

교재 : edexcel / 수강기간 : 30일


1. Unit Title: A2 Mathematics (Pure Mathematics 3)

 

2. Unit Code: WMA13/01

 

3. Content Overview: Algebra and functions; trigonometry; exponentials and logarithms; differentiation; integration; numerical methods.

 

4. Assessment Overview

Unit

Percentage

Mark

Time

Availability

P3: Pure Mathematics 3

16 2/3% of IAL

75

1 hour 30 mins

January, June and October

 

5. Summary

 

Chapter 1 - Algebraic Methods

 

This chapter reviews the concepts of dealing with rational. Functions, including polynomial division and the comparison of coefficients. Improper fractions are also dealt with in this context.

 

Chapter 2 - Functions and Graphs

 

We look at the fundamental definitions of mapping and functions, including domains and ranges, before considering inverse functions. The modulus function is also introduced, and problem solving and graph sketching problems are tackled.

 

Chapter 3 - Trigonometric Functions

 

The definitions of reciprocal trigonometric functions are introduced, and we apply the new function concepts from chapter 2 to define the inverse trigonometric functions

 

Chapter 4 - Trigonometric Addition Formulae

 

This chapter looks at the addition formulae for trigonometric functions, and how these can be used to find double angle formulae and other useful identities. We also look at linear combinations of trig functions, and how this relates to the principle of superposition.

 

Chapter 5 - Exponentials and Logarithms

 

Building on from AS, we look at the unique exponential e and the natural logarithm. We move on to see how these functions can be used to develop models for real world situations, including economics and physics examples.

 

 

Chapter 6 - Differentiation

 

We introduce new rules for differentiation a variety of functions, including the product and quotient rules, before reaching the chain rule, which is one of the most fundamental rules in differential calculus.

 

Chapter 7 - Integration

 

Integration is the opposite of differentiation and so this chapter takes what was learned in chapter 6 and explores how this can be applied in reverse. Also, the use of trigonometric identities is explored to simplify integrals.

 

Chapter 8 - Numerical Methods

 

We look at methods to locate roots without solving equations explicitly, then apply fixed point iteration to gain better approximations for these roots.

강의목록

  • 31 강의
  • 06:42:51
  • 1. 1.1 Algebraic Methods 00:12:30
  • 2. 1.2 Algebraic Methods 00:12:53
  • 3. 1.3 Algebraic Methods 00:11:20
  • 4. 2.1 Functions and Graphs 00:21:46
  • 5. 2.2 Functions and Graphs 00:10:10
  • 6. 2.3 Functions and Graphs 00:06:05
  • 7. 2.4 Functions and Graphs 00:22:35
  • 8. 3.1 Trigonometric Functions 00:14:23
  • 9. 3.2 Trigonometric Functions 00:06:45
  • 10. 3.3 Trigonometric Functions 00:05:30
  • 11. 3.4 Trigonometric Functions 00:11:30
  • 12. 3.5 Trigonometric Functions 00:19:20
  • 13. 4.1 Trigonometric Addition Formulae 00:17:20
  • 14. 4.2 Trigonometric Addition Formulae 00:06:10
  • 15. 4.3 Trigonometric Addition Formulae 00:13:05
  • 16. 4.4 Trigonometric Addition Formulae 00:12:30
  • 17. 4.5 Trigonometric Addition Formulae 00:12:30
  • 18. 5.1 Exponentials and Logarithms 00:09:33
  • 19. 5.2 Exponentials and Logarithms 00:08:20
  • 20. 5.3 Exponentials and Logarithms 00:22:07
  • 21. 5.4 Exponentials and Logarithms 00:10:23
  • 22. 6.1 Differentiation 00:17:25
  • 23. 6.2 Differentiation 00:13:03
  • 24. 6.3 Differentiation 00:09:03
  • 25. 6.4 Differentiation 00:12:45
  • 26. 6.5 Differentiation 00:16:07
  • 27. 7.1 Integration 00:09:23
  • 28. 7.2 Integration 00:12:40
  • 29. 7.3 Integration 00:11:03
  • 30. 8.1 Numerical Methods 00:13:20
  • 32. 8.2 Numerical Methods 00:21:17

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