Advanced Mathematics 2 for form six students
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TOPIC 1: CO-ORDINATE GEOMETRY II
1.1 Conic Section
Exercise 1.1
1.2 The parabola
Exercise 1.2
1.3 The ellipse
Exercise 1.3
1.4 The hyperbola
Exercise 1.4
1.5 Polar coordinates
Exercise 1.5
TOPIC 2: VECTORS
2.1 Vectors representation
Exercise 2.1
2.2 Dot product
Exercise 2.2
2.3 Cross product
Exercise 2.3
2.4 Vectors differentiation and integration
Exercise 2.4
TOPIC 3: HYPERBOLIC FUNCTIONS
3.1 hyperbolic sine and cosine
Exercise 3.1
3.2 Derivative of hyperbolic functions
Exercise 3.2
3.3 Integration of hyperbolic functions
Exercise 3.3
TOPIC 4: STATISTICS
4.1 Measures of central tendencies
Exercise 4.1
4.2 Measures of dispersion
Exercise 4.2
TOPIC 5: PROBABILITY
5.1 Counting techniques for the sample space
Exercise 5.1
5.2 Probability axioms and theorems
Exercise 5.2
5.3 Properties of probability
Exercise 5.3
5.4 Conditional probability
Exercise 5.4
5.5 Probability distribution
Exercise 5.5
5.6 Some special probability distribution
Exercise 5.6
TOPIC 6: COMPLEX NUMBERS
6.1 Complex number and their operations
Exercise 6.1
6.2 Polar form of complex number
Exercise 6.2
6.3 De Moivre’s theorem
Exercise 6.3
6.4 Euler’s formula
Exercise 6.4
TOPIC 7: DIFFERENTIAL EQUATIONS
7.1 Introduction to differential equations
Exercise 7.1
7.2 Solution to a differential equation
Exercise 7.2
7.3 First order differential equations
Exercise 7.3
7.4 Second order differential equations
Exercise 7.4
TOPIC 8: NUMERICAL METHODS
8.1 Errors
Exercise 8.1
8.2 Roots by iterative methods
Exercise 8.2
8.3 Numerical integration
Exercise 8.3
