Engineering Math For Poly Students

5 May

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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. 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

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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