A-Level Maths: Pure (Year 2)

Complete content for Pure component of A-Level Maths: Year 2.

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Watch Intro Video

Pure (Year 2) - Intro

Course curriculum

1. 2.1 The Modulus Function - Graphs (Part 1)
2. 2.1 Quiz
3. 2.2 The Modulus Function - Graphs (Part 2)
4. 2.2 Quiz
5. 2.3 Modulus Equations and Inequalities (Part 1)
6. 2.3 Quiz
7. 2.4 Modulus Equations and Inequalities (Part 2)
8. 2.4 Quiz
9. 2.5 Combining Graph Transformations
10. 2.5 Quiz
11. 2.6 Mappings
12. 2.6 Quiz
13. 2.7 Domain and Range
14. 2.7 Quiz
15. 2.8 Composite Functions
16. 2.8 Quiz
17. 2.9 Inverse Functions
18. 2.9 Quiz
19. 2.10 Piecewise Functions
20. 2.10 Quiz
21. Functions and Graphs - Exam Questions
1. 3.1 Arithmetic Sequences
2. 3.1 Quiz
3. 3.2 Arithmetic Series
4. 3.2 Quiz
5. 3.3 Geometric Sequences (Part 1)
6. 3.3 Quiz
7. 3.4 Geometric Sequences (Part 2)
8. 3.4 Quiz
9. 3.5 Geometric Series
10. 3.5 Quiz
11. 3.6 Sums to Infinity
12. 3.6 Quiz
13. 3.7 Sigma Notation
14. 3.7 Quiz
15. 3.8 Partial Sums
16. 3.8 Quiz
17. 3.9 Recurrence Relations
18. 3.9 Quiz
19. Sequences and Series - Exam Questions
1. 4.1 The Binomial Expansion Formula
2. 4.1 Quiz
3. 4.2 Using the Binomial Expansion Formula
4. 4.2 Quiz
5. 4.3 When the First Term is Not 1
6. 4.3 Quiz
7. 4.4 Approximations
8. 4.4 Quiz
9. 4.5 Binomial Expansion and Algebraic Fractions
10. 4.5 Quiz
11. 4.6 Binomial Expansion and Partial Fractions
12. 4.6 Quiz
13. Binomial Expansion - Exam Questions
1. 5.1 Radians - Introduction
2. 5.1 Quiz
3. 5.2 Arc Lengths
4. 5.2 Quiz
5. 5.3 Sector Areas
6. 5.3 Quiz
7. 5.4 Solving Trigonometric Equations in Radians
8. 5.4 Quiz
9. 5.5 Small Angle Approximations
10. 5.5 Quiz
11. 5.6 Using Small Angle Approximations
12. 5.6 Quiz
13. Radians - Exam Questions
1. 6.1 Sec, Cosec and Cot
2. 6.2 Graphs of Sec, Cosec and Cot
3. 6.2 Quiz
4. 6.3 Sec, Cosec and Cot - Proving Simple Identities
5. 6.4 Sec, Cosec and Cot - Simple Equations
6. 6.4 Quiz
7. 6.5 The Pythagorean Identities
8. 6.5 Quiz
9. 6.6 The Pythagorean Identities - Proving Identities
10. 6.6 Quiz
11. 6.7 The Pythagorean Identities - Solving Equations
12. 6.7 Quiz
13. 6.8 Pythagorean Identities - Exam-Style Problems
14. 6.8 Quiz
15. 6.9 Inverse Trig Functions - Graphs
16. 6.9 Quiz
17. 6.10 Inverse Trig Functions - Calculations
18. 6.10 Quiz
19. Trigonometric Functions - Exam Questions
1. 7.1 The Addition Formulae
2. 7.2 Using the Addition Formulae
3. 7.2 Quiz
4. 7.3 The Double Angle Formulae
5. 7.4 The Double Angle Formulae - Solving Equations (Part 1)
6. 7.4 Quiz
7. 7.5 The Double Angle Formulae - Solving Equations (Part 2)
8. 7.5 Quiz
9. 7.6 The Double Angle Formulae - Proving Identities
10. 7.6 Quiz
11. 7.7 The Double Angle Formulae - Exam-Style Problems
12. 7.7 Quiz
13. 7.8 Harmonic Form - acosx+bsinx
14. 7.8 Quiz
15. 7.9 Harmonic Form - Solving Equations
16. 7.9 Quiz
17. 7.10 Harmonic Form - Minimum and Maximum (Part 1)
18. 7.10 Quiz
19. 7.11 Harmonic Form - Minimum and Maximum (Part 1)
20. 7.11 Quiz
21. 7.12 Modelling With Trig Equations
22. 7.12 Quiz
23. Trigonometry - Identities and Modelling - Exam Questions
1. 8.1 Differentiating Sinx and Cosx
2. 8.1 Quiz
3. 8.2 Using the Derivatives of Sinx and Cosx
4. 8.2 Quiz
5. 8.3 Differentiating Exponential Functions
6. 8.3 Quiz
7. 8.4 Differentiating lnx
8. 8.4 Quiz
9. 8.5 The Chain Rule: f(x)^n
10. 8.5 Quiz
11. 8.6 The Chain Rule: Trigonometric Functions
12. 8.6 Quiz
13. 8.7 The Chain Rule: Exponential Functions
14. 8.7 Quiz
15. 8.8 The Chain Rule: Logarithmic Functions
16. 8.8 Quiz
17. 8.9 The Product Rule
18. 8.9 Quiz
19. 8.10 The Quotient Rule
20. 8.10 Quiz
21. 8.11 Derivatives of Tan, Sec, Cosec and Cot
22. 8.11 Quiz
23. 8.12 Using the Derivatives of Tan, Sec, Cosec and Cot
24. 8.12 Quiz
25. 8.13 Implicit Differentiation
26. 8.13 Quiz
27. 8.14 Implicit Differentiation - Stationary and Critical Points
28. 8.14 Quiz
29. 8.15 Second Derivatives - Convex and Concave Functions
30. 8.15 Quiz
31. 8.16 Connected Rates of Change (Part 1)
32. 8.17 Connected Rates of Change (Part 2)
33. 8.16/8.17
34. Differentiation - Exam Questions
1. 9.1 Integrating Standard Functions
2. 9.1 Quiz
3. 9.2 Integrating f(ax+b)
4. 9.2 Quiz
5. 9.3 Reverse Chain Rule: f'(x)[f(x)]^n (Part 1)
6. 9.4 Reverse Chain Rule: f'(x)[f(x)]^n (Part 2)
7. 9.3/9.4 Quiz
8. 9.5 Reverse Chain Rule: Exponentials
9. 9.5 Quiz
10. 9.6 Reverse Chain Rule: Logarithmic Functions (Part 1)
11. 9.7 Reverse Chain Rule: Logarithmic Functions (Part 2)
12. 9.6/9.7 Quiz
13. 9.8 Mixed Reverse Chain Rule Problems
14. 9.9 Trig Identities For Integration: Pythagorean Identities
15. 9.9 Quiz
16. 9.10 Trig Identities For Integration: Double Angle Formulae
17. 9.10 Quiz
18. 9.11 Using Partial Fractions for Integration (Part 1)
19. 9.12 Using Partial Fractions for Integration (Part 2)
20. 9.11/9.12 Quiz
21. 9.13 Integration by Parts: Polynomial x Exponential
22. 9.13 Quiz
23. 9.14 Integration by Parts: Polynomial x Trigonometric
24. 9.14 Quiz
25. 9.15: Integration by Parts: Polynomial x Logarithmic
26. 9.15 Quiz
27. 9.16 Integration by Parts: Exponential x Trigonometric
28. 9.16 Quiz
29. 9.17 Integration by Substitution: An Alternative to Reverse Chain Rule
30. 9.17 Quiz
31. 9.18 Integration by Substitution: u = f(x)
32. 9.18 Quiz
33. 9.19 Integration by Substitution: x = f(u)
34. 9.19 Quiz
35. 9.20 Integration by Substitution: Definite Integrals
36. 9.20 Quiz
37. 9.21 Problem Solving with Integration
38. 9.21 Quiz
39. 9.22 The Trapezium Rule
40. 9.22 Quiz
41. 9.23 Differential Equations: Separating Variables (Part 1)
42. 9.24 Differential Equations: Separating Variables (Part 2)
43. 9.23/9.24 Quiz
44. 9.25 Forming Differential Equations
45. 9.25 Quiz
46. 9.26 Modelling With Differential Equations (Part 1)
47. 9.27 Modelling With Differential Equations (Part 2)
48. 9.26/9.27 Quiz
49. Integration - Exam Questions
1. 10.1 Parametric Equations Intro
2. 10.2 Converting Parametrics to Cartesian: Substitution
3. 10.2 Quiz
4. 10.3 Converting Parametrics to Cartesian: Pythagorean Identities
5. 10.3 Quiz
6. 10.4 Converting Parametrics to Cartesian: Double Angle Formulae
7. 10.4 Quiz
8. 10.5 Intersections of Parametrics and Lines
9. 10.5 Quiz
10. 10.6 Differentiating Parametric Equations
11. 10.6 Quiz
12. 10.7 Differentiating Parametric Curves: Stationary and Critical Points
13. 10.7 Quiz
14. 10.8 Integrating Parametric Equations (part 1)
15. 10.9 Integrating Parametric Equations (part 2)
16. 10.8/10.9 Quiz
17. Parametric Equations - Exam Questions
1. 11.1 Locating Roots
2. 11.1 Quiz
3. 11.2 Iteration (Part 1)
4. 11.3 Iteration (Part 2)
5. 11.2/11.3 Quiz
6. 11.4 The Newton-Raphson Procedure
7. 11.4 Quiz
8. Numerical Methods - Exam Questions
1. 12.1 3d Coordinates
2. 12.1 Quiz
3. 12.2 Vectors in 3d
4. 12.2 Quiz
5. 12.3 Angles Between Vectors and Coordinate Axes
6. 12.3 Quiz
7. 12.4 Geometric Problems
8. Vectors - Exam Questions

About this course

£49.99
239 lessons
19.5 hours of video content

Mathematics With Woody

A-Level Maths: Pure (Year 2)

Pure (Year 2) - Intro

Course curriculum

Chapter 1: Partial Fractions and Proof

Chapter 2: Functions and Graphs

Chapter 3: Sequences and Series

Chapter 4: Binomial Expansion

Chapter 5: Radians

Chapter 6: Trigonometric Functions

Chapter 7: Trigonometry - Identities and Modelling

Chapter 8: Differentiation

Chapter 9: Integration

Chapter 10: Parametric Equations

Chapter 11: Numerical Methods

Chapter 12: Vectors

About this course