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