P3

 P3    

CHECKLIST for EXAM/ASSESSMENT PREPERATION

ALGEBRA


LOGARITHMIC & EXPONENTIAL FUNCTION
 

1. Exponential Function 9709 June 22 var 31 and June 23 var 31 video 1

2. Exponential Eq.- 9709 June 2021 var 31 and Nov 2022 var 31 video 2

3. 

1. Logarithmic function video 1 -9709 June 2024 var 31

2.  Logarithmic Function Video 2 - March 2023 var 32 and March 2024 var 32

3. Logarithmic Functions Video 3- 9709 June 2023 var 32 and var 33

4.  Logarithmic Functions Video 4 - 9709 June 2022 var 32 and var 33

 Past Paper Question (Jun.4, Jun.8, Nov. 10, Jun.11)  - Mix exponential and logarithmic funciton

LINEAR LAW

1. Past paper Qs. Jun10/31/Q3, Nov.5/Q2, June 10/33/Q2,

2. Linear Law Introduction

3. Linear Law Exponential Equation

4. Linear Law Exponential Equation

LONG DIVISION

1. Long division - unknown a and b constant value June 2016 var33

2. Long division June 2002

3. Why long division why not Remainder and factor theorem?

POLYNOMIAL REMAINDER AND FACTORS THEOREM

PARTIAL FRACTION

1. Partial Fraction
2. Long division and solving cubic equation

3,Partial Fraction-Improper Algebraic Fraction

4,Partial Fraction - 4 Cases

MODULUS FUNCTION

1. Modulus functions case 1 & 2 - part 1
2. Modulus function case 3 - part 2


BINOMIAL EXPANSION

1.Binomial Expansion- positive and non positive integer

2.

TRIGONOMETRY

1. Prove identity, apply compound angle and sketch -N17/33/Q4
2. Cubic expansiion, trigonometric identity and solving equation J18-33-q5

3. Harmonic form in fraction - Challenge Nov02/ Q5



DIFFERENTIATION

1. Basic differentiation of Polynomial and trig. function
2. Basic differentiation of Exponential and logarithmic function
3. Challenging question (June10/31/Qs.9)
4. Change in 2020 syllabus- Differentiation and Integration

5, Differentiation - tangent parallel to x-axis March 2016/32/Q6

6.  Implicit Equation N17/33/q5
7. Parametric equation N18/33/q4

INTEGRATION

1. Basic Integration & few special cases video 1
2. Integration of Rational function by Partial Fraction & Integration by substitution video 2

3. Integration of algebraic fraction using partial fraction part 1

4. Integration of algebraic function using partial fraction part 2
5. Integration by parts video 3
6. Integration by parts J18/33/q3
7. Integration by substitution - M16/32/q5

7. Partial fraction and Integration March 2016/32/Q9

8. Integration by substitution Mar 22/32/Q11

9.  Integration and Partial Fraction J2004 Q8

10. Integration by parts M20/32/Q4

11. Integration and partial fraction

12.Integration by substitution and Stationary Point Challenging Past Paper Qs.

13. Integration of tan inverse with or without limits


NUMERICAL SOLUTION OF EQUATIONS

1. Introduction and examples

VECTORS

1. Vectors Line video 1
2. Vectors Line video 2
3. Vectors Plane video 3    (VECTOR PLANE  is not a part of the syllabus from 2020)
4. Vectors Plane video 4
5. Vectors Plane video 5
6.perpendicular distance from a point to a line-J18/31/Qs.10
7. Lines do not intersect and angle between them -N17/33/Q10

8.Vectors- Distance from a point to a line -June 2022 var 31

9.Vectors-distance from a point to a line November 2022 vae 31

10. Vectors-distance from a point to a line and lines intersecting

DIFFERENTIAL EQUATIONS

Brief introduction of Differential Equation video 1

Brief Introduction Differential Equation video 2

1. Introduction of Differential Equation with a few CAIE Past Paper questions
2. Differential Eq. Challenging Qs. (June 08/Qs.8 and Nov. 13/ 32/Qs.10)
3. Challenging question (Nov. 08/ Qs.8)
4. Challenging question - Nov. 19/32/q6

5. Differential equation Challenging past paper question 1

6. Challenging Past Paper question Differential Eq. 2

7. Differential Equation Challenging Past Paper question 3

COMPLEX NUMBERS

1. Complex # (Addition, subtraction, Multiplication, Division, Modulus, Argand Diagram, Polar coordinates, Argument and Square root)

2. Loci in the Complex Plane
3. Past paper complex questions on Argand diagram
4. Complex Number challenging Qs. (Jun.13/31, Jun.14/31)
5. Complex Number Challenging Qs)
6. Complex Number - conjugate challenging qs.)
7. Trapezium Rule
8. Challenging qs. June/12/33/qs.10

9. Challenging Qs. Nov. 13--32-Q8(b) (Loci of Complex Number)

10 Complex number and Loci
11. Three forms of a Complex number

12. Challenging question June 2015/ 31/Q8

13. Complex number in exponential form March 2024/32

14. Complex Number square root exponential form 9709 June 2022/31

15. Complex number LOCI Challenging question - intersection of LOCI
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