2. Equations and Inequalities - HOP1 Q3, 4

3. Equations and Inequalities - HOP1 Q5

4. Equations and Inequalities - HOP1 Q6

5. Solving Inequalities

Hands-on Practice 2 (HOP2)

6. Equations and Inequalities - HOP2 Q1

7. Equations and Inequalities - HOP2 Q2

8. Equations and Inequalities - HOP2 Q3

9. Equations and Inequalities - HOP2 Q4

10. Inequalities involving repeated factors

Hands-on Practice (HOP3)

11. Equations and Inequalities - HOP 3 - Q1

12. Equations and Inequalities - HOP 3 - Q2

13. Equations and Inequalities - HOP 3 - Q4

14. Quick recap

15. Solving inequalities using GC

Hands-on Practice 4 (HOP4)

16. Equations and Inequalities - HOP4 Q1, 2, 3

17. Equations and Inequalities - HOP 4 - Q4

18. Inequalities involving modulus

Hands-on Practice 5 (HOP5)

19. Equations and Inequalities - HOP5 Q1

20. Equations and Inequalities - HOP5 Q2

21 .Equations and Inequalities - HOP5 Q3

22. Equations and Inequalities - HOP5 Q4

23. Equations and Inequalities - HOP5 Q5

24. Equations and Inequalities - HOP5 Q6

Tutorial 1

25. Equations and Inequalities - Tutorial Q10

26. Equations and Inequalities - Tutorial Q12

27. Equations and Inequalities - Tutorial Q15

Notes: Functions

1. Introduction to Functions

2. Inverse functions

Hands-on Practice 1 (HOP1)

3. Functions - HOP1 Q1

4. Functions - HOP1 Q2

5. Functions - HOP1 Q3

6. Quick recap

7. Functions - HOP1 Q4

8. Introduction to Composite Functions

Hands-On Practice 2 (HOP 2)

9. Functions - HOP2 Q1a

10. Finding the range of a composite function

12. Functions - HOP2 Q2

11. Functions - HOP2 Q1b, c

13. Quick recap

14. Functions - HOP2 Q3

15. Functions - HOP2 Q4a

16. Functions - HOP2 Q4b

17. Functions - HOP2 Q4c

18. Functions - Deriving composite functions of itself and self-inverse function

Hands-On Practice 3

19. Functions - HOP3 Q1

20. Functions - HOP3 Q2

21. Functions - HOP3 Q4

22. Functions - HOP3 Q5

23. Functions - HOP3 Q7

24. Functions - HOP3 Q9 - 2013 AJC Prelim P1 Q3

Notes: Graphing Techniques 1 - Conics

1. Introduction to conics - Circles

Hands-On Practice 1 (HOP 1)

2. Ellipse

Hands-On Practice 2 (HOP 2)

3. Conics - HOP2 Q1 - Equation of ellipse

4. Conics - HOP2 Q2 - Equation of ellipse

5. Sketching a hyperbola

Hands-On Practice 3 (HOP 3)

6. Conics - HOP3 Q1a - Hyperbola

7. Conics - HOP3 Q1b - Hyperbola

Tutorial 1

8. Conics - Tutorial Q3 - 2012 VJC Prelim P1 Q9 - Hyperbola

9. Conics - Tutorial Q4i - 2012 PJC Prelim P1 Q11 - Hyperbola

10. Conics - Tutorial Q4ii, iii, iv - 2012 PJC Prelim P1 Q11 - Hyperbola

11. Conics - Tutorial Q4v - 2012 PJC Prelim P1 Q11 - Hyperbola

Notes: Graphing Techniques 2 - Transformations

1. Transformation - Translation

2. Transformation - HOP1 Q1

3. Transformation - HOP1 Q2

4. Transformation - HOP1 Q3

5. Transformation - HOP1 Q4

7. Transformation - Scaling

6. Transformation - HOP1 Q5

8. Transformation - HOP2 Q1

9. Transformation - HOP2 Q2

10. Transformation - HOP2 Q3

11. Transformation - HOP2 Q4

12. Transformation - HOP2 Q5

13. Transformation - HOP2 Q6

14. Transformation - Order of Transformation

15. Transformation - Quick recap

16. Transformation - HOP3 Q1

17. Transformation - HOP3 Q2

18. Transformation - HOP3 Q3

19. Transformation - HOP3 Q4

20. Transformation - HOP3 Q5

21. Transformation - Reflections and Modulus

22. Transformation - HOP4 Q1 a,c,e

23. Transformation - Example 12

24. Transformation - HOP4 Q2

25. Transformation - Quick recap

26. Transformation - HOP4 Q3

27. Transformation - HOP4 Q4(i)

28. Transformation - HOP4 Q4(ii)

29. Transformation - HOP4 Q4(iii)

30. Transformation - HOP4 Q4(iv)

31. Transformation - Reciprocal curve

32. Transformation - HOP5 Q1

33. Transformation - HOP5 Q2(i)

34. Transformation - HOP5 Q2(ii)

35. Transformation - HOP5 Q2(iii)

36. Transformation - Tutorial Q1 - 2016 DHS Prelim P1 Q10 (2018)

Notes: APGP

1. APGP - Introduction to AP

Hands-On Practice 1 (HOP1)

2. APGP - HOP1 Q1 - AP

3. APGP - HOP1 Q2 - AP

4. APGP - HOP1 Q3 - AP

5. APGP - HOP1 Q4 - AP

6. APGP - Quick recap

7. APGP - HOP1 Q5 -Test for AP

8. APGP - HOP1 Q6 - Test for AP

9. APGP - Introduction to GP

Hands-On Practice 2 (HOP2)

10. APGP - HOP2 Q1

11. APGP - HOP2 Q1(i),(ii)

12. APGP - HOP2 Q2 part 1

13. APGP - HOP2 Q2 part 2

14. APGP - HOP2 Q3 part 1

15. APGP - HOP2 Q3 part 2

16. APGP - Quick recap

17. APGP - HOP2 Q4

18. APGP - HOP2 Q5

19. APGP - HOP2 Q6

20. APGP - Applications of APGP

Hands-On Practice 3 (HOP3)

21. APGP - HOP3 Q1(a) - Money problem

22. APGP - HOP3 Q1(b) - Money problem

23. APGP - HOP3 Q2 - Ball Bouncing (2018)

24. APGP - HOP3 Q4(a) - 2011 ACJC Prelim P1 Q13

25. APGP - HOP3 Q4(b) - 2011 ACJC Prelim P1 Q13

Tutorial 1

26. APGP - Tutorial Q1 - Number pattern

27. APGP - Tutorial Q7 - Number pattern

28. APGP - Tutorial Q13(i),(ii) - Cheetah chase deer problem

29. APGP - Tutorial Q13 (iii) - Cheetah chase deer problem

Notes: Summation

1. Summation - Sigma notation and examples

Hands-On Practice 1 (HOP1)

2. Summation - HOP1 Q1a, b

3. Summation - HOP1 Q1c

4. Summation - HOP1 Q1d

5. Summation - HOP1 Q1e

6. Summation - HOP1 Q2

7. Summation - Example5

8. Summation - HOP1 Q3

9. Summation - Methods of difference

Hands-On Practice 2 (HOP2)

10. Summation - HOP2 Q1

11. Summation - HOP2 Q2

12. Summation - HOP2 Q3 - 2011 A level P1 Q6

13. Summation - Example7 -Hence type

Hands-On Practice 3 (HOP3)

14. Summation - HOP3 Q1i

15. Summation - HOP3 Q1ii, iii

16. Summation - HOP3 Q2 2011 ACJC CT Q8

17. Extra question on summation - 2017 ACJC JC1 mid-year

18. Summation - HOP3 Q3 - 2013 MJC JC1 mid-year

19. Summation - HOP3 Q4i - 2014 HCI JC1 mid-year

20. Summation - HOP3 Q4ii, iii - 2014 HCI JC1 mid-year

Tutorial 1

21. Summation - Tutorial Q2

22. Summation - Tutorial Q4

23. Summation - Tutorial Q6 2012 SAJC Prelim P2Q1

24. Summation - Tutorial Q11

Notes: Techniques of differentiation

1. Techniques of differentiation - differentiation by first principle

2. Techniques of differentiation - HOP1 Q1

3. Techniques of differentiation - rules of differentiation, implicit differentiation

Hands-On Practice 2 (HOP2)

4. Techniques of differentiation - HOP2 Q1(a)

5. Techniques of differentiation - HOP2 Q1(b)

6. Techniques of differentiation - HOP2 Q1(c)

7. Techniques of differentiation - HOP2 Q1(d)

8. Techniques of differentiation - HOP2 Q1(e)

9. Techniques of differentiation - differentiation of trigonometric functions

10. Techniques of differentiation - differentiation of inverse trigonometric functions

Hands-On Practice 3 (HOP3)

11. Techniques of differentiation - HOP3 Q1

12. Techniques of differentiation - HOP3 Q2(a)

13. Techniques of differentiation - HOP3 Q2(b)

14. Techniques of differentiation - HOP3 Q2(c)

15. Techniques of differentiation - HOP3 Q2(e)

16. Techniques of differentiation - HOP3 Q2(f)

17. Techniques of differentiation - differentiation of logarithmic functions

Hands-on Practice 4 (HOP 4)

18. Techniques of differentiation - HOP4 Q1(a),(b)

19. Techniques of differentiation - HOP4 Q1(c)

20. Techniques of differentiation - HOP4 Q1(d)

21. Techniques of differentiation - HOP4 Q1(e)

22. Techniques of differentiation - HOP4 Q1(f)

23. Techniques of differentiation - differentiation of exponential functions

Hands-On Practice 5 (HOP 5)

24. Techniques of differentiation - HOP5 Q1(a)

25. Techniques of differentiation - HOP5 Q1(b)

26. Techniques of differentiation - HOP5 Q1(c)

27. Techniques of differentiation - HOP5 Q1(d)

28. Techniques of differentiation - HOP5 Q1(e)

29. Techniques of differentiation - HOP5 Q1(f)

30. Techniques of differentiation - logarithmic differentiation

Hands-On Practice 6 (HOP 6)

31. Techniques of differentiation - HOP6 Q1(a)

32. Techniques of differentiation - HOP6 Q1(b)

33. Techniques of differentiation - HOP6 Q1(c)

34. Techniques of differentiation - HOP6 Q1(d)

35. Techniques of differentiation - HOP6 Q1(e)

36. Techniques of differentiation - HOP6 Q1(f)

37. Techniques of differentiation - differentiation of parametric equations

Hands-On Practice 7 (HOP 7)

38. Techniques of differentiation - HOP7 Q1(a)

39. Techniques of differentiation - HOP7 Q1(b)

40. Techniques of differentiation - HOP7 Q1(c)

41. Techniques of differentiation - HOP7 Q1(d)

42. Techniques of differentiation - HOP7 Q2(a)

43. Techniques of differentiation - HOP7 Q2(b)

44. Techniques of differentiation - HOP7 Q2(c)

45. Techniques of differentiation - HOP7 Q2(d)

Notes: Applications of differentiation

1. Applications of differentiation - Maximum Minimum problems

Hands-On Practice 1 (HOP 1)

2. Applications of differentiation - HOP1 Q3 2006 RJC Promo

3. Applications of differentiation - HOP1 Q6 SRJC

4. Applications of differentiation - rates of change

Hands-On Practice 2 (HOP 2)

5. Applications of differentiation - HOP2 Q1 - Rates of change - HCI

6. Applications of differentiation - HOP2 Q2 - Rates of change - AJC

7. Applications of differentiation - HOP2 Q5 - Rates of change - 2009 NJC Prelim

8. Sketching parametric curves using GC

Hands-On Practice 3 (HOP 3)

9. Applications of differentiation - HOP3 Q1 - Parametric equations - AJC

10. Applications of differentiation - HOP3 Q2 - Parametric equations - ACJC

11. Applications of differentiation - HOP3 Q3 - Parametric equations - HCI

12. Applications of differentiation - HOP3 Q4 - Parametric equations - YJC

12. Applications of differentiation - HOP3 Q5 - Parametric equations - 2010 JJC

13. Applications of differentiation - HOP3 Q6 - Parametric equations - 2010 JJC

14. Applications of differentiation - HOP3 Q9 - Parametric equations - PJC

15. Applications of differentiation - HOP3 Q10 - Parametric equations - JJC

16. Applications of differentiation - HOP3 Q11 2011 RI Prelim

17. Applications of differentiation - Derivative graphs

Hands-On Practice 4 (HOP 4)

18. Applications of differentiation - HOP4 Q1 - Derivative graphs

19. Applications of differentiation - HOP4 Q2 - Derivative graphs

20. Applications of differentiation - HOP4 Q3 - Derivative graphs

21. Applications of differentiation - HOP4 Q5 - Derivative graphs - 2008 PJC Prelim P2 Q1

22. Applications of differentiation - HOP4 Q6 - Derivative graphs - 2008 HCI Prelim

22. Applications of differentiation - HOP4 Q8 - Derivative graphs - 2011 NYJC

23. Applications of differentiation - HOP4 Q10

Notes: Maclaurin Series

1. Introduction to Maclaurin Series

Hand-On Practice 1 (HOP 1)

2. Maclaurin series - HOP1 Q1 - J88 P1 Q19

3. Maclaurin series - HOP1 Q2 - N88 P1 Q19

4. Maclaurin series - HOP1 Q3 - J95 P1 Q17

5. Small angle approximation

Hands-On Practice 2 (HOP 2)

6. Maclaurin Series - HOP2 Q1 2012 SAJC Prelim P1Q1

7. Maclaurin Series - HOP2 Q2 2008 IJC Prelim P1Q3

8. Maclaurin Series - HOP2 Q3(a) 2012 NYJC Prelim P1Q6

9. Maclaurin Series - HOP2 Q3(b) 2012 NYJC Prelim P1Q6

Tutorial 1

10. Maclaurin series - Tutorial Q4

11. Maclaurin Series - Tutorial Q5

12. Maclaurin Series - Tutorial Q7 2010 RVHS Prelim P1Q9

13. Maclaurin Series - Tutorial Q9 2008 PJC Prelim P1Q7

Notes: Binomial Series

1. Binomial Series expansion

Hands-On Practice 1 (HOP 1)

2. Binomial Series - HOP1 Q1(a)

3. Binomial Series - HOP1 Q1(b)

4. Binomial Series - HOP1 Q1(c)

5. Binomial Series - HOP1 Q1(d)

6. Binomial Series - HOP1 Q2(a)

7. Binomial Series - HOP1 Q2(b)

8. Binomial Series - HOP1 Q2(c)

9. Binomial Series - x^r term

Hands-On Practice 2 (HOP 2)

10. Binomial Series - HOP2 Q1 2008 AJC Prelim P1 Q1

11. Binomial Series - HOP2 Q2

12. Binomial Series - HOP2 Q4 2012 RI Prelim P1 Q2

13. Binomial Series - HOP2 Q5 2008 YJC Prelim P1 Q3

14. Binomial Series - Application of binomial series

Hand-On Practice 3 (HOP 3)

15. Binomial Series - HOP3 Q1

16. Binomial Series - HOP3 Q2 2006 CJC Mid-Year P1 Q8

17. Binomial Series - HOP3 Q4 2008 HCI Prelim P1 Q6

Tutorial 1

Notes: Integration Techniques

1. Integration techniques - 1st form

Hands-On Practice 1 (HOP1)

2. Integration techniques - HOP1 Q1(iii)

3. Integration techniques - HOP1 Q1(iv)

4. Integration techniques - HOP1 Q1(v)

5. Integration techniques - HOP1 Q1(vi)

6. Integration techniques - HOP1 Q1(vii)

7. Integration techniques - HOP1 Q1(viii)

8. Integration techniques - 2nd form

Hands-On Practice 2 (HOP 2)

9. Integration techniques - HOP2 Q1(i),(ii)

10. Integration techniques - HOP2 Q1(iii)

11. Integration techniques - HOP2 Q1(iv)

12. Integration techniques - HOP2 Q1(v)

13. Integration techniques - HOP2 Q1(vi)

14. Integration techniques - HOP2 Q1(vii)

15. Integration techniques - HOP2 Q1(viii)

16. Integration techniques - 3rd form

Hands-On Practice 3 (HOP 3)

17. Integration techniques - HOP3 Q1(i),(ii)

18. Integration techniques - HOP3 Q1(iii)

19. Integration techniques - HOP3 Q1(iv)

20. Integration techniques - HOP3 Q1(v)

21. Integration techniques - HOP3 Q1(vi)

22. Integration techniques - HOP3 Q1(vii)

23. Integration techniques - 4th form, 5th form

Hands-On Practice 4 (HOP 4)

24. Integration techniques - HOP4 Q1(i)

25. Integration techniques - HOP4 Q1(ii)

26. Integration techniques - Quick recap

27. Integration techniques - HOP4 Q1(iii)

28. Integration techniques - HOP4 Q1(iv)

29. Integration techniques - HOP4 Q1(v)

30. Integration techniques - HOP4 Q1(vi)

31. Integration techniques - 6th form

Hands-On Practice 5 (HOP 5)

32. Integration techniques - HOP5 Q1(i)

33. Integration techniques - HOP5 Q1(ii)

34. Integration techniques - HOP5 Q1(iii)

35. Integration techniques - HOP5 Q1(iv)

36. Integration techniques - HOP5 Q2(i)

37. Integration techniques - HOP5 Q2(ii)

38. Integration techniques - HOP5 Q2(iii)

1. Integration techniques - Integration of trigonometric ratios

2. Integration techniques - Quick recap

Hands-On Practice 6 (HOP 6)

3. Integration techniques - HOP6 Q1(i)

4. Integration techniques - HOP6 Q1(ii)

5. Integration techniques - HOP6 Q1(iii)

6. Integration techniques - HOP6 Q1(iv)

7. Integration techniques - HOP6 Q1(v)

8. Integration techniques - HOP6 Q1(vi)

9. Integration techniques - Integration of product of sine and cosine

10. Integration techniques - Integration of sine and cosine with power n

Hands-On Practice 7

11. Integration techniques - HOP7 Q1(i)

12. Integration techniques - HOP7 Q1(ii)

13. Integration techniques - HOP7 Q1(iii)

14. Integration techniques - HOP7 Q1(iv)

15. Integration techniques - HOP7 Q1(v)

16. Integration techniques - HOP7 Q1(vi)

17. Integration techniques - HOP7 Q1(vii)

18. Integration techniques - HOP7 Q1(viii)

1. Integration techniques - integration by substitution

Hands-On Practice 8 (HOP 8)

2. Integration techniques - HOP8 Q1(i)

3. Integration techniques - HOP8 Q1(ii)

4. Integration techniques - HOP8 Q1(iii)

5. Integration techniques - HOP8 Q1(iv)

6. Integration techniques - HOP8 Q1(v)

7. Integration techniques - HOP8 Q2(i)

8. Integration techniques - HOP8 Q2(ii)

9. Integration techniques - HOP8 Q2(iii)

10. Integration techniques - Quick recap

1. Integration techniques - Integration by parts

Hands On Practice 9 (HOP 9)

2. Integration techniques - HOP9 Q1(i)

3. Integration techniques - HOP9 Q1(ii)

4. Integration techniques - Example 14(a),(b)

5. Integration techniques - HOP9 Q1(iii)

6. Integration techniques - HOP9 Q1(iv)

7. Integration techniques - HOP9 Q1(v)

8. Integration techniques - HOP9 Q1(vi)

9. Integration techniques - HOP9 Q1(vii)

Integration techniques - Tutorial Q10

Integration techniques - Tutorial Q12

Integration techniques - Tutorial Q14

Integration techniques - Tutorial Q15

Integration techniques - Tutorial Q18

Integration techniques - Tutorial Q19

Integration techniques - Tutorial Q20

Integration techniques - Tutorial Q21

Integration techniques - Tutorial Q24

Integration techniques - Tutorial Q26

Integration techniques - Tutorial Q27

Integration techniques - Tutorial Q28(a)

Integration techniques - Tutorial Q28(b)

Notes: Vectors

1. Vectors - Magnitude of a vector and a unit vector

Hands-On Practice 1 (HOP 1)

2. Vectors - HOP1 Q1

3. Vectors - Ratio and Mid-point theorems

Hands-On Practice 2 (HOP 2)

4. Vectors - HOP2 Q1 - Ratio and Mid-point theorems

5. Vectors - HOP2 Q2 - Ratio and Mid-point theorems

6. Vectors - HOP2 Q3 - Ratio and Mid-point theorems

7. Vectors - Dot-product and length of projection

8. Vectors - Example 3

Hands-On Practice 3 (HOP 3)

9. Vectors - HOP3 Q1(i),(ii),(iii),(iv) - Dot product

10. Vectors - HOP3 Q1(v),(vi),(vii) - Dot product

11. Vectors - Vector vs direction vs point

12. Vectors - Example 4

13. Vectors - HOP3 Q2

14. Directional Cosine

Hands-On Practice 4 (HOP 4)

15.Vectors - HOP4 - Directional Cosines

16. Vectors - Cross-product

Hands-On Practice 5 (HOP 5)

17. Vectors - HOP5 Q1(a),(b) - Cross product

18. Vectors - HOP5 Q1(c),(d),(e) - Cross product

19. Vectors - HOP5 Q2(a) - Cross product

20. Vectors - HOP5 Q2(b) - Cross product

21. Vectors - Equation of a line

Hands-On Practice 6 (HOP 6)

22. Vectors - HOP6 Q1(a) - Equation of a line

23. Vectors - HOP6 Q1(b) - Equation of a line

24. Vectors - HOP6 Q1(c) - Equation of a line

25. Vectors - HOP6 Q1(d) - Equation of a line

26. Vectors - Quick recap and example 8

27. Vectors - HOP6 Q2 - Equation of a line

28. Vectors - HOP6 Q3 - Equation of a line

29. Vectors - Foot of perpendicular from a point to a line

Hands-On Practice 7 (HOP 7)

30. Vectors - HOP7 Q1 - Foot of perpendicular

31. Vectors - HOP7 Q2 - Foot of perpendicular

32. Vectors - Perpendicular distance from a point to a line

Hands-On Practice 8 (HOP 8)

33. Vectors - HOP8 Q1 - Perpendicular distance

34. Vectors - HOP8 Q2 - Perpendicular distance

35. Vectors - Angle between two lines, relationships between lines

Hands-On Practice 9 (HOP 9)

36. Vectors - HOP9 Q1

37. Vectors - HOP9 Q2

Notes: Vectors

1. Vectors - Equation of a plane

Hands-On Practice 10 (HOP 10)

2. Vectors - HOP10 Q1(i)

3. Vectors - HOP10 Q1(ii)

4. Vectors - HOP10 Q1(iii)

5. Vectors - HOP10 Q1(iv)

6. Vectors - HOP10 Q1(v)

7. Vectors - HOP10 Q2(i)

8. Vectors - HOP10 Q2(ii)

9. Vectors - HOP10 Q2(iii)

10. Vectors - HOP10 Q2(iv)

11. Vectors - Distance from origin to plane and distance between parallel planes

Hands-On Practice 11 (HOP 11)

12. Vectors - HOP11 Q1 - Distance between parallel planes

13. Vectors - HOP11 Q2 - Distance between parallel planes

14. Vectors - Angle between line and plane, relationships between line and plane

15. Vectors - HOP12 Q1 - Angle between line and plane

16. Vectors - HOP12 Q2 - Angle between line and plane

17. Vectors - Foot of perpendicular from a point to a plane

Hands-On Practice 12 (HOP 12)

18. Vectors - HOP12 Q3 - Foot of perpendicular from point to plane

19. Vectors - HOP12 Q4(i) - Foot of perpendicular from point to plane

20. Vectors - HOP12 Q5 - Lengths of projection

21. Vectors - HOP12 Q6

22. Vectors - Angle between two planes, intersection of two planes

Hands-On Practice 13 (HOP 13)

23. Vectors - HOP13 Q1 - Intersection of two planes

24. Vectors - HOP13 Q2 - Intersection of two planes

25. Vectors - Locus in vectors

Hands-On Practice 14 (HOP 14)

26. Vectors - HOP14 Q1a - 2015 TPJC Prelim P1 Q9a - locus

27. Vectors - HOP14 Q1b - 2015 TPJC Prelim P1 Q9b

28. Vectors - HOP14 Q2 - 2015 NYJC Prelim P1 Q12 - locus

29. Vectors - HOP14 Q3a - 2015 HCI Prelim P2 Q1a - locus