After completing the course, the students will be able to solve problems of Algebra,
Trigonometry, Vectors, Boolean Algebra, Complex numbers and Analytic Geometry,
develop skills in the use of mathematical instruments and acquire mathematical clarity and insight in the solution of technical problems.

1. QUADRATIC EQUATIONS                                                             6 hours
1.1 Standard Form
1.2 Solution
1.3 Nature of roots
1.4 Sum and product of roots
1.5 Formation
1.6 Problems
2. BINOMIAL THEOREM                                                                   6 hours
2.1 Factorials
2.2 Binomial expression
2.3 Binomial co-efficient
2.4 Statement
2.5 The general term
2.6 The binomial series
2.7 Problems.
3. PARTIAL FRACTIONS                                                                  6 hours
3.1 Introduction
3.2 Linear distinct factors case I
3.3 Linear repeated factors case II
3.4 Quadratic distinct factors case III
3.5 Quadratic repeated factors case IV
3.6 Problems
4. FUNDAMENTALS OF TRIGONOMETRY                                     6 hours
4.1 Angles
4.2 Quadrants
4.3 Measurements of angles
4.4 Relation between sexagesimal and circular system

4.5 Relation between length of a circular arc and the radian measure of its central
angle
4.6 Problems
5. TRIGONOMETRIC FUNCTIONS AND RATIOS                          6 hours
5.1 Trigonometric functions of any angle
5.2 Signs of trigonometric functions
5.3 Trigonometric ratios of particular angles
5.4 Fundamental identities
5.5 Problems
6. GENERAL IDENTITIES                                                               6 hours
6.1 The Fundamental Law
6.2 Deductions
6.3 Sum and difference formulae
6.4 Double angle identities
6.5 Half angle identities
6.6 Conversion of sum or difference to products
6.7 Problems
7. SOLUTION OF TRIANGLES                                                       6 hours
7.1 The law of Sines
7.2 The law of Cosines
7.3 Measurement of heights and distances
7.4 Problems
8. VECTORS AND PHASORS                                                       12 hours
8.1 Scalars and Vectors
8.2 The unit Vectors i, j, k
8.3 Direction Cosines
8.4 Dot product
8.5 Cross product
8.6 Analytic expressions for dot and cross products
8.7 Phasors
8.8 Significance of j operator
8.9 Different forms
8.10 Algebraic operations
8.11 Problems

9. COMPLEX NUMBERS                                                                  9 hours
9.1 Introduction and properties
9.2 Basic op

9.3 Conjugate
9.4 Modulus
9.5 Different forms
9.6 Problems
10. BOOLEAN ALGEBRA AND GATE NETWORKS                       15 hours
10.1 Concept and basic laws
10.2 Sums of product and product of sums
10.3 Binary, decimals and octals, presentation of decimal numbers in BCD
10.4 Interconversion of numbers
10.5 OR Gates and AND Gates
10.6 Logical Expressions and their simplification
10.7 Demorgan’s theorems
10.8 NAND Gates and NOR Gates
10.9 Problems
11. PLANE ANALYTIC GEOMETRY AND STRAIGHT LINE                 6 hours
11.1 Coordinate system
11.2 Distance formula.
11.3 Ratio formulas.
11.4 Inclination and slope of line.
11.5 Slope formula.
11.6 Problems.
12. EQUATIONS OF THE STRAIGHT LINE                                         6 hours
12.1 Some important forms
12.2 General form
12.3 Angle formula.
12.4 Parallelism and perpendicularity
12.5 Problems
13. EQUATIONS OF THE CIRCLE.                                                    6 hours
13.1 Standard and Central forms of equation.
13.2 General form of equation.
13.3 Radius and coordinates of center.
13.4 Problems

RECOMMENDED TEXT BOOK
1. Applied Mathematics: Math-123, Developed by Nasir -ud-Din Mahmood, Sana-ullah Khan, Tahir Hameed, Evaluated by Syed Tanvir Haider, Javed Iqbal, Vol – I, National Book Foundation