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TOPIC 1: CALCULATING DEVICES
1.1 Scientific Calculators
Exercise 1.1
1.2 Computer Packages
Exercise 1.2
TOPIC 2: SETS
2.1 Basic operations of sets
Excercise 2.1
2.2 Simplification of set expressions
Excercise 2.2
2.3 Number of members of a set
Excercise 2.3
TOPIC 3: LOGIC
3.1 Statements
Exercise 3.1
3.2 Logical connectives
Exercise 3.2
3.3 Laws of algebra of propositions
Exercise 3.3
3.4 Validity of arguments
Exercise 3.4
3.5 Electrical Networks
Exercise 3.5
TOPIC 4: COORDINATE GEOMETRY I
4.1 Rectangular Cartesian Coordinates
Exercise 4.1
4.2 Ratio theorem
Exercise 4.2
4.3 Circles
Exercise 4.3
TOPIC 5: FUNCTIONS
5.1 Graph of functions
Exercise 5.1
TOPIC 6: ALGEBRA I
6.1 Indices and logarithms
Exercise 6.1
6.2 Series
Exercise 6.2
6.3 Proof of Mathematical induction
Exercise 6.3
6.4 Roots of polynomial function
Exercise 6.4
6.5 Remainder theorem
Exercise 6.5
6.6 Inequalities
Exercise 6.6
6.7 Matrices
Exercise 6.7
6.8 Binomial theorem
Exercise 6.8
6.9 Partial fractions
Exercise 6.9
TOPIC 7: TRIGONOMETRY
7.1 Trigonometrical ratios
Exercise 7.1
7.2 Trigonometric identities
Exercise 7.2
7.3 Compound angle formula
Exercise 7.3
7.4 Double angle formulae
Exercise 7.4
7.5 Trigonometric equation of the form of a cosØ + bsinØ = c
Exercise 7.5
7.6 Factor formulae
Exercise 7.6
7.7 Radians and small angles
Exercise 7.7
7.8 Trigonometrical Function
Exercise 7.9
7.9 Inverse trigonometrical functions
Exercise 7.9
TOPIC 8: LINEAR PROGRAMMING
8.1 Linear Programming problem formulation
Exercise 9.1
8.2 Graphical solution
Exercise 8.2
8.3 Transportation problems
Exercise 8.3
TOPIC 9: DIFFERENTIATION
9.1 The Derivative
Exercise 9.1
9.2 Differentiation of a function
Exercise 9.2
9.3 Applications of differentiation
Exercise 9.3
9.4 Taylor’s series and Maclaurin’s series
Exercise 9.4
9.5 Introduction to partial derivatives
Exercise 9.5
TOPIC 10: INTEGRATION
10.1 Inverse of Differentiation
Exercise 10.2
10.2 Integration of a function
Exercise 10.2
10.3 Application of integration
Exercise 10.3
