Mathematics is a vast scientific subject that assist other scientific fields of engineering, medical and commerce. It is the harbinger of all modern creations and discoveries.
BIE 1st year mathematics consists of 13 chapters, most of the chapters teach students new concepts.
Mathematics examinations conducted by BIE Sindh are lengthy and they will test students concepts and focus. Moreover, the test paper is divided into two parts of subjective (80 marks) and an objective part containing 20 marks worth of mcqs.
With the growing demand for technical education, mathematics has become a valuable subject of study. Here at Myinteracademy.com, we are providing full mathematics course with the help of online recorded lectures and solved exercises. Students can learn under the guidance of Sir Murtaza(MSc mathematics). Not only this, but they can also access multiple games, virtual lab simulations, and animations that will further enhance their learning experience.
Subject name  Mathematics 
Class  XI/1st year 
Board  Sindh Board 
Subject Affiliation 

Book Chapters Count  13 
Subject Type  Compulsory 
Paper Type  Subjective and Objective 
Marks scheme  Total= 100

Minimum Passing Marks  33/100 
Subject features  Online recorded lecture, online assessments, solved exercises,mcqs, and games. 
1.1  Revision 
1.2  A Few Definitions 
1.3  Operations on Sets 
1.4  Properties of Operations on Sets 
1.5  Some Important Laws 
2.1  Introduction 
2.2  Development of Number Systems 
2.3  Distinction of Between Rational and Irrational numbers 
2.4  The Real Number System 
2.5  The System C of Complex Numbers 
2.6  Properties of Complex Numbers 
2.7  Definition of Imaginary Numbers 
2.8  Conjugate of Complex Numbers 
2.9  Modulus of a Complex Number 
2.10  The Subtraction of Complex Numbers 
2.11  The Division of Complex Numbers 
2.12  Geometrical Representation of the Complex Number x + iy as Pair of Real Numbers (x,y) 
2.13  The Order Relations 
2.14  Vector Interpretation of Complex Numbers 
2.15  The Triangle Inequality 
2.16  Real and Imaginary Parts of ( x + iy ) Power n 
3.1  Quadratic Equations 
3.2  Factor Theorem of Polynomials 
3.3  Synthetic Division 
3.4  Solution of Quadratic Equations 
3.5  The Cube Roots of Unity 
3.6  Properties of the Cube Roots of Unity 
3.7  Equations Reducible to the Quadratic Form 
3.8  The Theory of Quadratic Equations 
3.9  Nature of the Roots of a Quadratic Equation 
3.10  Relations Between the Roots and the Coefficient of a Quadratic Equation 
3.11  To Form a Quadratic Equation When its Roots are Given 
3.12  Problems Involving Quadratic Equations 
3.13  System of Two Equations Involving Two Variables 
3.14  Solution of Different Types of Systems of Equations 
4.1  Introduction 
4.2  Matrices 
4.3  Notation 
4.4  Special Types of Matrices 
4.5  Algebra of Matrices 
4.6  Properties of Matrix Operation 
4.7  Determinant of a Square Matrix 
4.8  Determinants of Order Two and Three 
4.9  Properties of Determinants of Order Two 
4.10  Alternate Method For Expanding a Third Order Determinant 
4.11  Properties of Determinants of Order Three 
4.12  Minors and Cofactors of Elements of a Given Matrix A 
4.13  The Multiplicative Inverse of a Square Matrix 
4.14  Distinction Between Homogeneous and NonHomogeneous Systems of Linear Equations 
4.15  Solving a System of Three NonHomogeneous Linear Equations in Three Unknowns 
5.1  Binary Operations 
5.2  Multiplication ( or Composition ) Table 
5.3  Properties of Binary Operations 
5.4  Algebraic Structure 
5.5  Groups 
6.1  Introduction 
6.2  Arithmetic Sequences or Arithmetic Progression (A.P) 
6.3  Standard Form of an A.P 
6.4  Arithmetic Series 
6.5  Arithmetic Means 
6.6  To Insert Arithmetic Means (i) a single A.M (ii) n A.M’s 
6.7  To Find the Sum of n A.M 
6.8  Geometric Sequence or Geometric Progression ( G.P ) 
6.9  Standard Form of a G.P 
6.10  Geometric Series 
6.11  Infinite Geometric Series 
6.12  Geometric Means 
6.13  To Insert (i) a single geometric Mean (ii) n geometric means 
6.14  Harmonic Sequences or Harmonic Progression ( H.P ) 
6.15  General Term of an H.P 
6.16  The Characteristic Relation for an H.P 
6.17  An Important Theorem 
6.18  Harmonic Means 
6.19  To Insert (i) a single Harmonic Mean (ii) n harmonic means 
6.20  Relation Between Means 
7.1  The Counting Principles 
7.2  The Factorial Notation 
7.3  Permutations and Combinations 
7.4  Number of Permutations 
7.6  Circular ( or Cyclic ) Permutations 
7.6  Number of Combinations 
7.7  Introduction to Probability 
7.8  Basic Terminology 
7.9  Definition of Probability 
7.10  Addition Law of Probability 
8.1  The Principle of Mathematical Inducion 
8.2  Sum of Positive Integral Powers of Natural numbers 
8.3  Binomial Theorem 
8.4  The Binomial Theorem for a Positive Integral index 
8.5  Some Important Observations 
8.6  The General Term 
8.7  The Middle Terms 
8.8  The Binomial Series 
8.9  Approximations 
8.10  Application to Summation of Series 
9.1  Introduction 
9.2  Radian Measure 
9.3  General and Its Measure in Degree and Radians 
9.4  Relation Between Radian and Degree Measure 
9.5  Relation Between ArcLength, Radius and general angle 
9.6  The Radian Function 
9.7  Signs of the Trigonometric Function in the Four Quadrants 
9.8  Values of Trigonometric Functions 
10.1  Trigonometric Identities and Their Applications 
10.2  The Distance Formula 
10.3  A Fundamental Law 
10.4  Deductions From the Funndamental Law 
10.5  The Sum and Difference Identities 
10.6  Applications 
10.7  Identities for Sin2θ, Cos2θ and Tan2θ 
10.8  Identities For Sin θ/2, Cos θ/2 and Tan θ/2 
10.9  Sum and Product Identities For Trigonometric Functions 
10.10  Applications 
11.1  Trigonometric Functions 
11.2  Periods of Trigonometric Functions 
11.3  Graphs of Trigonometric Functions 
12.1  The Law of Sines 
12.2  The Laws of Cosines 
12.3  The Laws of Tangents 
12.4  Solutions of Triangles 
12.5  Half Angle Formulae in Terms of the Lengths of the sides of a triangle 
12.6  Area of a Triangle 
12.7  Circles Associated with a Triangle 
12.8  CircumRadius in Terms of the Measure of a Side and the Measure of the Opposite 
12.9  CircumRadius r in Terms of the Measure of three Sides of a Triangle 
12.10  The InRadius of a Triangle 
12.11  Radii of eCircles of a Triangle 
13.1  Inverse Trigonometric Functions and Their Domains and Ranges 
13.2  Applications 
13.3  Solutions of Trigonometric Equations 
Concepts
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Sir. Murtaza
Mathematics – XI First Year Sindh Board
Sir Murtaza is the mathematics teacher at MyInterAcademy.com. He has attained qualification of MSc Mathematics from wellrenowned University of Karachi. He has an exquisite style of teaching with calm, collected and a soothing voice. But behind his docile demeanor is a mind of a mathematical devil who has the ability to play with equations and formula like a mad scientist.
Students can follow along Sir Murtaza exclusively at MyInterAcademy.com in their quest to achieve a high quality yet affordable education.
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