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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 |
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| 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 |
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| 3.2 | Geometry
1. Co-ordinate 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 |
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| 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 |
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| 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 |
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| 10.2 | Probability
1. Basic concept and counting 2. Additional and multiplication rule 3. Conditional probability |
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| 10.3 | Discrete Probability Distribution
1. Discrete probability distribution 2. Binomial distribution 3. Poisson distribution 4. Find Probabilities |
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| 10.4 | Normal Distribution
1. Define Normal probability 2. Find Probability 3. Sampling 4. Confidence Interval |
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| 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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