IQ Techno Service

13/08/2017

iQ EDUCATION CENTRE
TUPO: Kivule Matembele-2 Opposite na Chang’a Hadware Karibu na Zahanati ya Chang’ombe: Mobile 0678 389 333/0719 628 081/0764308998

MAZINGIRA MAZURI YA MTOTO KUJISOMEA NYUMBANI
1. Kuwe na chumba maalumu chenya meza na kiti au sehemu maalum isiyokuwa na usumbufu kwa ajili ya wanafunzi au Mwanafunzi kujisomea akiwa nyumbani.

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5. Hakikisha unatunza mitihani yako yote iliyopita, pia unakuwa na mitihani ya miaka iliyotangulia.

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7. Mwanafunzi awe na ratiba maalum ya kuangalia vipindi vya TV hasa Taarifa na Habari, Vipindi vya Bunge na hotuba za viongozi wa kitaifa na Vipindi vya kutoa elimu kwa jamii.

8. Weka vitu vya kula au kutafuna mbali na chumba cha kujisomea.

11/05/2017

01/10/2016

NECTA-ACSEE ADVANCED MATHEMATICS PAPER I TOPICS

QUESTION NO 1
1. CALCULATING DEVICES
1.1. Use of Scientific Calculator
1.2. Indices, Square Roots
1.3. Common Logarithms and Natural Logarithms
1.4. Permutation and Combination
1.5. Trigonometric Functions Sine, Cosine and Tangent
1.6. Inverse Trigonometric Functions

QUESTION NO 2
2. HYPERBOLIC FUNCTION
2.1. Hyperbolic cosine and sine functions
2.2. Derivative of Hyperbolic function
2.3. Integration of hyperbolic functions

QUESTION NO 3
3. LINEAR PROGRAMMING
3.1. Feasible Region
3.2. Objective Function
3.3 Maxima and Minima

QUESTION NO 4
4. STATISTICS
4.1. Scope and limitations
4.2. Frequency distribution tables
4.3. Measures of central tendency
4.4. Measures of dispersion

QUESTION NO 5
5. SETS
5.1. Basic operations of sets
5.2. Simplification of set expressions
5.3. Number of members of a set

QUESTION NO 6
6. FUNCTIONS
6.1. Graph of functions
6.2. Inverse of a function
6.3. Inverse function

QUESTION NO 7
7. NUMERICAL METHODS
7.1. Errors
7.2. Linear interpolations
7.3. Roots by iterative methods
7.4. Numerical Integration

QUESTION NO 8
8. COORDINATE GEOMETRY I
8.1. Rectangular Cartesian Coordinates
8.2. Ratio theorem
8.3. Circles
8.4. Transformations

QUESTION NO 9
9. INTEGRATION
9.1. Inverse of Differentiation
9.2. Integration of a function
9.3. Application of integration

QUESTION NO 10
10. DIFFERENTIATION
10.1. The Derivative
10.2. Differentiation of a function
10.3. Applications of differentiation
10.4. Taylor’s theorem and Maclaurin’s Theorem

01/10/2016

NECTA-ACSEE ADVANCED MATHEMATICS PAPER II TOPICS

QUESTION NO 1
1. COMPLEX NUMBERS
1.1. Complex numbers and their operations
1.2. Polar form of a Complex number
1.3. De Moivre’s Theorem
1.4. Euler’s Formula

QUESTION NO 2
2. LOGIC
2.1. Statement
2.2. Logical connectives
2.3. Laws of algebra of propositions
2.4. Validity of arguments
2.5. Electrical Networks

QUESTION NO 3
3. VECTORS
3.1. Vector representation
3.2. Dot product
3.3. Cross (vector) product
3.4. Equation of a straight line
3.5. Equation of a plane
3.6. Scalar triple Product
VECTORIAL MECHANISM
3.7. Vector differentiation
3.8. Relative motion
3.9. Motion in a straight line.
3.10. Projectile Motion on non-inclined plane.
3.11. Newton’s laws of Motion
3.12. Power Energy and Momentum

QUESTION NO 4
4. ALGEBRA I
4.1. Indices and Logarithms
4.2. Arithmetic Progression
4.3. Geometric Progression
4.4. Other types of Series
4.5. Proof by Mathematical Induction
ALGEBRA II
4.5. Root of a Polynomial function
4.6. Remainder and Factor Theorem
4.7. Inequalities
4.8. Matrices
4.9. Binomial theorem
4.10. Partial fractions

QUESTION NO 5
5. TRIGONOMETRY
5.1. Trigonometrically ratios
5.2. Pythagoras theorem in trigonometry
5.3. Compound angle formulae
5.4. Double angle formulae
5.5. Form of a cosØ + bsinØ = c
5.6. Factor formulae
5.7. Sine and Cosine Rules
5.8. Radians and small angles
5.9. Trigonometrical Function
5.10. Inverse Trigonometrical Functions

QUESTION NO 6
6. PROBABILITY
6.1. Fundamental principle of counting
6.2. Permutations
6.3. Combinations
6.4. Sample spaces
6.5. Probability axioms and theorems
6.6. Conditional probability
STATISTICS II
6.7. Probability Density functions

QUESTION NO 7
7. DIFFERENTIAL EQUATIONS
7.1. Differential Equations
7.2. Solutions to Ordinary differential equations
7.3. First order differential equations
7.4. Second order homogeneous differential equations

QUESTION NO 8
8. COORDINATE GEOMETRY II
8.1. Conic section
8.2. The parabola
8.3. The ellipse
8.4. The hyperbola
8.5. Polar coordinates