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1  Numbers  Poly (yr1) 
1.1  Real number
1. Real number system 2. Indices 3. Logarithms 4. Binomial theorem 
2  Sets and functions  Poly (yr1) 
2.1  Sets
1. Notation 2. Operation 3. Venn diagram 

2.2  Functions
1. Notation 2. Polynomial 3. Identities 4. Equations 5. Inverse function 
3  Trigonometry and Geometry  Poly (yr1) 
3.1  Trigonometry
1. Circular measure 2. Trigonometric ratio 3. Trigonometric identities 4. Trigonometric equation 

3.2  Geometry
1. Coordinate Geometry system 2. Equation of straight line 3. Conic section 
4  Linear Algebra  Poly (yr1) 
4.1  Determinants
1. Properties or Determinants 2. Gauss elimination 3. Properties of Matices 

4.2  Matrices
1. Properties of Matrices 2. Operations with matrices 3. Matix method to solve linear simultaneous Equations 4. Gauss Jordan Method 
Poly (yr1) 
4.3  Vectors
1. Definition and notation 2. Addition and Subtraction 3. Vector Algebra 4. Vector Space 5. Scalar and dot product 
Poly (yr3) 
5  Complex Numbers  Poly (yr1) 
5.1  1. Operation of complex Numbers
2. Argand Diagram 3. Form of complex numbers 4. De Moivre’s theorem 5. Roots of Complex Numbers 
6  Calculus  
6.1  Differentiation
1. Limits and continuity 2. Differentiation Method of algebraic function 3. Differentiation transcental functions 4. Application of differentiation 
Poly (yr1) 
6.2  Integration
1. Concept of integration 2. Methods of integration 3. Reduction Formula 4. Application of integration 
Poly (yr1) 
6.3  Infinite Series
1. Limits 2. Convergence and Divergent 3. Test of convergent 4. Maclurin series 5. Taylor series 
Poly(yr2) 
7  Differential Equation  Poly(yr2) 
7.1  First Order differential equation
1. Definition of differential equation 2. Solution of first order differential equation 3. Application of differential equation 

7.2  Second order differential equation
1. Type of second order differential equations 2. Solution of second order differential equation 
8  Laplace Transform  Poly(yr2) 
8.1  1. Definition of Laplace transform
2. Laplace transform of functions 3. Theorem of Laplace transform 4. Inverse Laplace transform 5. Solution of Differential equations by Laplace Transform 
9  Fourier Series  Poly(yr2) 
9.1  1. Periodic function
2. Construction of Fourier Series 3. Odd and Even functions 4. Half range Fourier sine and cosine series 
10  Statistics  Poly(yr2) 
10.1  Descriptive statistics
1. Data presentation 2. Measure of location 3. Measure of dispersion 

10.2  Probability
1. Basic concept and counting 2. Additional and multiplication rule 3. Conditional probability 

10.3  Discrete Probability Distribution
1. Discrete probability distribution 2. Binomial distribution 3. Poisson distribution 4. Find Probabilities 

10.4  Normal Distribution
1. Define Normal probability 2. Find Probability 3. Sampling 4. Confidence Interval 

10.5  Hypothesis Testing
1. Method of Hypothesis testing 2. Hypothesis test of large sample 3. Hypothesis testing of small sample 
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