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Syllabus
Schedule
Term 1
Term 2
Term 3
Term 4
Assessment
File
Assignment
Revision
Test
Topics
Binomial Theorem
Circular Measure
Partial Fractions
Probability
Vectors
Further Trigo

Trigo Formula Sheet
Standard Graphs
Differentiation

Limits

Techniques of Differentiation

Tangent and Normal

Max/Min Points and 2nd Derivative

Rate of Change

Curve Sketching

Mensuration Formula Sheet
(for max/min problems)
Quizzes
Integration

Basic Integration
+ Substitution + By Parts (SMTP)
Further Integration (Trigo, Exp, Log, f '(x)type)

Area under curve
+ Volume of revolution (SMTP)

Kinematics

Differentiation & Integration Formula Sheet
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Term 1 Topics:
Binomial Theorem
Further Trigonometry
Circular Measure
Term 2 Topics:
Differentiation
Applications of Differentiation
Further Differentiation
Partial Fractions
Probability
(SelfStudy Topic)
Vectors
(Self Study Topic)
Term 3 Topics:
Integration
Applications of Integration
Further Integration
Term 4
Consolidate Sec 1  3 work
Exam Revision
For detailed information on topics to be covered in the whole year, download
Sec 4 Math Topics.pdf
Details
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25 KB
Sec 4 SMTP Higher Math Syllabus
Term 1 Trigonometry IV
Unit 1: Mensuration – Arc Length, Sector Area, Radian Measure
N/A
Unit 2: Further Trigonometric Identities
More rigourous proving of Identities, > 5 steps
Term 1 Binomial Expansion I
Unit 1: Binomial Theorem
N/A
Term 2 Calculus I
Unit 1: Differentiation
N/A
Unit 2: Tangents, Normals and Rate of Change
N/A
Unit 3: Maxima and Minima
N/A
Unit 4: Further Differentiation
N/A
Unit 5: Integration
N/A
Calculus I
Unit 5: Integration
Use Integration by substitution and by parts
Unit 6: Partial Fractions
N/A
Unit 7: Applications of Integration – Area of a Region
find the
volume of revolution
Unit 8: Applications of Integration – Kinematics
N/A
Vectors I
Unit 1: Vectors in Two Dimensions
Calculate dot product and explain the significance
Probability
Unit 1: Probability
N/A
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Term 1 Topics:
Term 2 Topics:
Term 3 Topics:
Term 4
For detailed information on topics to be covered in the whole year, download
Sec 4 SMTP Higher Math Syllabus
More rigourous proving of Identities, > 5 steps
Use Integration by substitution and by parts
find the volume of revolution
Calculate dot product and explain the significance