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JAVA 2023 PLAN

FORM 5

INTRODUCTORY CALCULUS

(ALL ASPECTS EXCEPT KINEMATICS)

10 - 14 JULY

DIFFERENTIAION WEEK 1

DAY 1 - THE BASICS

DAY 2 - GRADIENT OF A CURVE AT A POINT

DAY 3 - THE CHAIN RULE FOR COMPOSITE FUNCTIONS

17 - 21 JULY

DIFFERENTIATION WEEK 2

DAY 4 - SECOND DERIVATIVES & STATIONARY POINTS

DAY 5 - EQUATIONS OF TANGENTS & NORMALS TO A CURVE AT A POINT

DAY 6 - THE PRODUCT RULE

24 - 28 JULY

DIFFERENTIATION WEEK 3

DAY 7 - THE QUOTIENT RULE

DAY 8 - RATIONAL INDICES

DAY 9 - CONNECTED RATES OF CHANGE (PART 1)

31 JUL - 4 AUG

DIFFERENTIATION WEEK 4

DAY 10 - CONNECTED RATES OF CHANGE (PART 2)

DAY 11 - SELECTED PAST PAPER QUESTIONS (PART 1)

DAY 12 - SELECTED PAST PAPER QUESTIONS (PART 2)

7 - 11 AUG

INTEGRATION - WEEK 1

DAY 1 - INTRO & THE BASICS

DAY 2 - NEGATIVE & RATIONAL INDICES

DAY 3 - FINDING THE EQUATION OF A CURVE GIVEN THE GRADIENT FUNCTION

14 - 18 AUG

INTEGRATION - WEEK 2

DAY 4 - AREA BETWEEN A FUNCTION AND THE X-AXIS IN THE FIRST QUADRANT

DAY 5 - THE VOLUME OF A SOLID OF REVOLUTION

DAY 6 - SELECTED PPQ

FORM 4

LIST OF TOPICS TO BE COVERED

11 & 13 JULY

DAY 1 - SOLUTION OF QUADRATIC EQUATIONS (PART 1)

DAY 2 - SOLUTION OF QUADRATIC EQUATIONS (PART 2)

18 - 20 JULY

DAY 3 - COMPLETING THE SQUARE (PART 1)

DAY 4 - COMPLETING THE SQUARE (PART 2) INCLUDING CURVE SKETCHING

25 - 27 JULY

DAY 5 - THE QUADRATIC FORMULA

DAY 6 - THE DISCRIMINANT

1 & 3 AUG

DAY 7 - EQUATIONS REDUCIBLE TO QUADRATIC FORM (PART 1)

DAY 8 - EQUATIONS REDUCIBLE TO QUADRATIC FORM (PART 2)

8 - 10 AUG

DAY 9 - VIETE'S ROOT THEOREM (PART 1)

DAY 10 - VIETE'S ROOT THEOREM PART 2)

15 - 17 AUG

DAY 11 - SIMULTANEOUS EQUATIONS (PART 1)

DAY 12 - SIMULTANEOUS EQUATIONS (PART 2)

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