Lecture Notes

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0. Numbers and Arithmetic

1. Calculator and Computer Arithmetic

2. Factorization and Quadratic Equations

3. Equations and Transposition of Formulae

4. Inequalities

5. Trigonometery

6. Properties of Some Common Geometric Shapes.

7. Functions of one variable. Basic Definitions.

8. Functions of one variable. Function Definitions.

9. Elements of Differentiation.

10. Techniques of Differentiation.

11. Maxima, minima and points of inflection.

12. Indefinite Integrals.

13. Definite Integrals

14. Numerical Integration

15. Complex Numbers

16. Matrices and Determinants.

	 Part 1
	        1. Introduction
	        2. Definition of a Matrix
	        3. Laws of Matrix Algebra
	           Tutorial 1
	           Tutorial 1 solutions.

	 Part 2
	        4. Determinants
	           Tutorial 2
	           Tutorial 2 solutions.

	 Part 3
	        5. The Unit Matrix
	        6. The Inverse of a Square Matrix
	           Tutorial 3
	           Tutorial 3 solutions

	 Part 4
	        7. Solution of Linear Simultaneous Equations.
	        7.1 Cramers Rule
	        7.2 Inverse Matrix Method
	            Tutorial 4
	            Tutorial 4 solutions
	

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