DAE - Math-123 Book | First Year Math Book | APPLIED MATHEMATICS-I

DAE - Math-123 Book | First Year Math Book | APPLIED MATHEMATICS-I

Math 123 Book

Authors 

    Sanaullah Khan                             Tahir Hameed                           Nasir -ud-Din Mehmood

    Associate Professor                         Assistant Professor                   Assistant Professor 

    Govt. College of Tech.                     Govt. College of Tech.               Govt. College of Tech. 

    RailwayRoad Lahore                       Raiwind Road, Lahore               for Printing&Graphic Arts

PAPER A From Chapter 1 to 7

Course Content.

Download Chapter 00

Quadratic Equation

Topics Cover in this chapter 1 are...

Equation: Degree of an Equation, Polynomial Equation of Degree n, Linear and Cubic Equation, Quadratic Equation, Roots of the Equation, Methods of Solving Quadratic Equation, Classification of Numbers, Nature of the roots of the Equation, Sum and Product of the Roots, Formation of Quadratic Equation from the given roots, Summary, Short Questions, Objective Type Questions

Download Chapter 01

Binomial Theorem 

Topics Cover in this chapter 2 are...

Introduction, Factorial of a Positive Integer, Combination, The Binomial Theorem, General Term, Middle Term in the Expansion (a + b)n, Binomial Series, Application of the Binomial Series; Approximations:, Summary, Short Questions, Objective Type Questions

Download Chapter 02

Fundamentals of Trigonometry

Topics Cover in this chapter 3 are...

Introduction, Types of Trigonometry, Angle, Quadrants, Measurement of Angles, Relation between Degree and Radian Measure, Relation between Length of a Circular Arc and the Radian Measure of its Central Angle, Trigonometric Function and Ratios, Reciprocal Functions, Rectangular Co-ordinates and Sign Convention, Signs of Trigonometric Functions, Trigonometric Ratios of Particular Angles, Fundamental Identities, Graph of Trigonometric Functions, Summary, Short Questions, Objective Type Questions 

Download Chapter 03

General Identities 

Topics Cover in this chapter 4 are...

Introduction, Distance formula, Fundamental law of trigonometry, Deductions from fundamental law, Double Angle Identities, Half Angle identities, Triple angle identities, Conversion of the sum of difference to products, Converting Products to Sum or Difference

Download Chapter 04

Solution of Triangles 

Topics Cover in this chapter 5 are...

Solution of Triangles, Application of Right Angled Triangles, Angle of Elevation and Depression, Law of Sines, The Law of Cosines, Solution of Oblique Triangles     

Download Chapter 05

Vectors and Scalars 

Topics Cover in this chapter 6 are...

Introduction, Scalars and Vectors, Vector Representations, Types of Vectors, Addition and Subtraction of Vectors, Multiplication of a Vector by a Scalar, The Unit Vectors i, j, k (orthogonal system of unit Vectors), Representation of a Vector in the form of Unit Vectors i, j and k., Components of a Vector when the Tail is not at the Origin, Magnitude or Modulus of a Vector, Direction Cosines, Product of Vectors, Rectangular form of a x b (Analytical expression of ⃑ ⃑ )

Download Chapter 06

PHASORS ALGEBRA

Topics Cover in this chapter 7 are...

Introduction, J as an Operator, Mathematical Representation of Phasors, Conjugate Complex Numbers,  Addition and Subtraction of Complex Numbers (Or vectors), Multiplication and Division, Powers and Roots of the Complex Numbers (Vectors), Principle Roots, Derivation of Euler’s Relation

Download Chapter 07

PAPER B From Chapter 8 to 13

Complex Numbers 

Topics Cover in this chapter 8 are...

Introduction, Complex Number, Properties of Complex Number, Basic Algebraic Operation on Complex Numbers, Additive Inverse of a Complex Number, Multiplicative inverse of a complex number, Conjugate of a complex number, Graphical Representation, Graphical Representation, Modulus of a Complex Number, Polar form of a complex number, Multiplication and Division of Complex Numbers in Polar Form

Download Chapter 08

Partial Fractions

Topics Cover in this chapter 9 are...

Introduction, Partial fractions, Polynomial, Rational fraction, Proper Fraction, Improper Fraction, Process of Finding Partial Fraction, Type I, Type II, Type III, Type IV

Download Chapter 09

Number Systems and Arithmetic Operations 

Topics Cover in this chapter 10 are...

The Decimal Number System, The Binary Number System, Binary and Decimal Number Correspondence, Binary-to-Decimal Conversion, Decimal-to-Binary Conversion, Repeated Division-by-2 Or Multiplication-by-2 Method, Double-Dibble Technique, The Octal Number System, Octal-to-Decimal Conversion, Decimal-to-Octal Conversion, Repeated Division-by-8 Method, Repeated Multiplication-by-8 Method, Octal-to-Binary-Conversion, Octal and Binary Number Correspondence., Binary-to-Octal Conversion, Binary Arithmetic

Download Chapter 10

Boolean Algebra

Topics Cover in this chapter 11 are...

Introduction, Two Valued Logical Symbol, Fundamental Concepts of Boolean Algebra, Logical Addition, Logical Multiplication, Logic Gates, Basic Duality in Boolean Algebra, Fundamental Laws and Theorems of Boolean Algebra, De Morgan’s Theorems, Sum of Product (Minterm), Product of sum (Maxterm), Fundamental Products, NAND and NOR gates, Combination of Gates, Boolean Expression and Logic Diagrams, Karnaugh Maps, Non-Unique Group, Redundant Groups, Dont’ Care States, For the given truth table minimize the Boolean expression using Karnaugh 

Download Chapter 11

The Straight Line

Topics Cover in this chapter 12 are...

Introduction, Rectangular Coordinates, Polar Coordinates, Relation between Rectangular and Polar Coordinates, The Distance Formula (distance between two points), Segment of Line, The Ratio Formula (point of division), Inclination and Slope of a Line, Parallel and Perpendicular Lines, Angle Between Two Lines, Equation of a Straight Line, Three Important Forms of the Equation of a Line, The General Linear Equation, Reduction of General form Ax + By + C = 0 to other forms., Intersection of Two Lines, Concurrent Lines and Point of Concurrency, The Distance from a Point to a Line

Download Chapter 12

The Circle

Topics Cover in this chapter 13 are...

Circle, Standard Form of the Equation of a Circle, Circle Determined by Three Conditions, Short Questions, Objective Type Questions 

Download Chapter 13