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Math | Class 11
Federal
Class 11
Math (
Total Videos: 399
)
Preference
All Chapters
Chapter 1: Complex Numbers
Chapter 2: Matrices and Determinants
Chapter 3: Vectors
Chapter 4: Sequences and Series
Chapter 5: Polynomials
Chapter 6: Permutation and Combination
Chapter 7: Mathematical Induction and Binomial Theorem
Chapter 8: Fundamentals of Trignometry
Chapter 9: Trignometric Functions
Show Content
Select a chapter above and press 'Show Content'. Click a video topic below to view.
Chapter 1 Complex Numbers (
43 videos
)
1.1: Complex Number
Introduction to Complex Numbers
3918 views
Problem1-Definition of Complex Number
3770 views
Problem2-Definition of Complex Number
1343 views
Complex Numbers as Ordered Pairs of Real Numbers
2316 views
Equality of Complex Number
2295 views
Problem1-Equality of Complex Number
1720 views
Problem2-Equality of Complex Number
770 views
1.2: Basic Algebraic Operations of Complex Numbers
Addition of Complex Number
2981 views
Problem1-Addition of Complex Number
2446 views
Problem2-Addition of Complex Number
595 views
Subtraction of Complex Numbers
1479 views
Problem1-Subtraction of Complex Numbers
1212 views
Problem2-Subtraction of Complex Numbers
506 views
Multiplication of Complex Numbers
2194 views
Problem1-Multiplication of Complex Numbers
1670 views
Problem2-Multiplication of Complex Numbers
568 views
Division of Complex Numbers
2003 views
Problem1-Division of Complex Numbers
1732 views
Problem2-Division of Complex Numbers
540 views
Division Property of Complex Numbers
1543 views
Problem-Expressing complex number in standard form
1722 views
Problem2-Division Property of Complex Numbers
542 views
1.3: Conjugate of a Complex Number
Conjugate of Complex Number
3570 views
Problem1-Conjugate of Complex Number
2298 views
Problem2-Conjugate of Complex Number
1489 views
Problem3-Conjugate of Complex Number
1014 views
1.4: Magnitude of Modulus of a Complex Number
Modulus of Complex Number
1553 views
Problem-Modulus of Complex Number
1190 views
1.5: Real and Imaginary Parts of the Complex Number of the Types
Real and Imaginary parts of Expression of Power n
1874 views
Problem-Real and Imaginary parts of Expression of Power n
715 views
1.6: Solutions of the Equations
Solution of Simultaneous Linear Equations with Complex Co-efficients
2278 views
Problem-Solution of Simultaneous Linear Equations with Complex Co-efficients
1208 views
1.7: Complex Polynomial
Expression of the Polynomial P ( z ) as a Product of Linear Factors
1377 views
Problem-Expression of the Polynomial P ( z ) as a Product of Linear Factors
789 views
Quadratic Equation of Complex Variables
775 views
Problem-Quadratic Equation of Complex Variables
719 views
1.8: Complex Numbers in Polar Form
Polar Form of a Complex Number
1260 views
Problem1-Polar Form of a Complex Number
572 views
Problem2-Polar Form of a Complex Number
509 views
Properties of the Arguments
666 views
Problem-Properties of the Arguments
496 views
Formula for Finding the Principal Argument
2349 views
Problem-Formula for Finding the Principal Argument
963 views
1.9: Applications of Complex Numbers in Real World
No vidoes available yet. Still under development.
Chapter 2 Matrices and Determinants (
93 videos
)
2.1: Matrices
Introducing Matrix
36598 views
More on Introducing Matrix
3625 views
Problem-Introducing Matrix
14050 views
Order of Matrix
10702 views
Problem-Order of Matrix
7790 views
Location of elements in Matrix
1815 views
Problem-Location of elements in Matrix
1279 views
Equal Matrices
7813 views
Problem1-Equal Matrices
5711 views
Problem2-Equal Matrices
3091 views
Row-Column Matrix
10233 views
Problem-Row-Column Matrix
4853 views
Square-Rectangular Matrix
6255 views
Problem-Square-Rectangular Matrix
3522 views
Null Matrix or Zero Matrix
5155 views
Practical Application of Matrices
1786 views
Problem-Null Matrix or Zero Matrix
2898 views
Diagonal Matrix
4740 views
Problem-Diagonal Matrix
2480 views
Scalar Matrix
6740 views
Problem-Scalar Matrix
2171 views
Identity Matrix
3307 views
Problem-Identity Matrix
2096 views
Triangular Matrices
4232 views
Problem-Triangular Matrices
921 views
Transpose of Matrix
4496 views
Problem-Transpose of Matrix
3502 views
Symmetric & Skew-Symmetric Matrices
5957 views
Problem1-Symmetric & Skew-Symmetric Matrices
4625 views
Problem2-Symmetric & Skew-Symmetric Matrices
856 views
2.2: Algebra of Matrices
Multiplication of Matrix by Real Number
3354 views
Problem-Multiplication of Matrix by Real Number
2039 views
Addition of Matrices
4594 views
Problem-Addition of Matrices
2751 views
Subtraction of Matrices
2574 views
Problem-Subtraction of Matrices
1949 views
Multiplication of Matrices
5440 views
More on Multiplication of Matrices
572 views
Problem1-Multiplication of Matrices
3003 views
Problem2-Multiplication of Matrices
2261 views
Problem3-Multiplication of Matrices
525 views
Problem4-Multiplication of Matrices
Commutative Law Under Addition for Matrices
3496 views
Problem-Commutative Law Under Addition for Matrices
1744 views
Commutative Law of Multiplication of Matrices
1792 views
Problem-Commutative Law of Multiplication of Matrices
1207 views
2.3: Determinants
Determinant of 2-by-2 Matrix
4896 views
Determinant of a Sqaure Matrix of Order 3 or greater
1607 views
Problem-Determinant of a Sqaure Matrix of Order 3 or greater
960 views
Minor of an Element of a Matrix and Its Determinant
Problem-Minor of an Element of a Matrix or Its Determinant
863 views
Inverse of a Matrix Using Minor and Cofactor
Cofactor of an Element of a Matrix
2135 views
Problem-Cofactor of an Element of a Matrix
731 views
Problem4-Matrix Inverse Using Adjoint
399 views
Adjoint of a Square Matrix of Order n = 3 or n > 3
722 views
Matrix Inverse Using Adjoint
4424 views
More on Matrix Inverse Using Adjoint
874 views
Problem1-Matrix Inverse Using Adjoint
2520 views
Problem2-Matrix Inverse Using Adjoint
584 views
Problem3-Matrix Inverse Using Adjoint
382 views
2.4: Properties of Determinants
Properties of Determinants
1893 views
More on Properties of Determinants
1045 views
Problem 1-Properties of Determinants
1191 views
Problem 2-Properties of Determinants
688 views
Problem 3-Properties of Determinants
582 views
Problem 4-Properties of Determinants
739 views
Properties of Determinants of Order Three
986 views
Problem-Properties of Determinants of Order Three
674 views
Alternate Method For Expanding a Third Order Determinant
885 views
Problem-Alternate Method For Expanding a Third Order Determinant
490 views
2.5: Rows and Columns Operations
Echelon Form of Matrix
1342 views
Problem-Echelon Form of Matrix
683 views
Reduced Echelon Form of Matrix
792 views
Problem-Reduced Echelon Form of Matrix
514 views
Rank of a Matrix
1486 views
Problem-Rank of a Matrix
631 views
Inverse of Matrix by Row Operation
1299 views
Problem-Inverse of Matrix by Row Operation
468 views
2.6: Solving System of Linear Equations
System of Linear Equations
1357 views
More on System of Linear Equations
591 views
Problem-System of Linear Equations
579 views
Solution of Homogeneous Linear Equations
1567 views
More on Solution of Homogeneous Linear Equations
742 views
Problem-Solution of Homogeneous Linear Equations
602 views
More on Problem-Solution of Homogeneous Linear Equations
489 views
Solving a System of Three Non-Homogeneous Linear Equations
723 views
Problem-Solving a System of Three Non-Homogeneous Linear Equations
446 views
Consistency and Inconsistency of a System
865 views
Problem-Consistency and Inconsistency of a System
567 views
Solving Simultaneous Equations-Inversion Method
10163 views
Solving Simultaneous Equations-Cramers Rule
8952 views
Problem2-Solving Simultaneous Equations-Cramers Rule
406 views
Chapter 3 Vectors (
74 videos
)
3.1: Vectors Introduction
Scalar and Vector Quantities
4744 views
Problem-Scalar and Vector Quantities
1988 views
Terminologies and Notations of Vectors
2088 views
Equal Vectors
1850 views
Vectors which are Opposite
1132 views
Problem-Vectors which are Opposite
705 views
Zero Vectors
884 views
A Unit Vector in the Direction of Another Vector
633 views
Problem-A Unit Vector in the Direction of Another Vector
446 views
Parallel Vectors
635 views
Problem-Parallel Vectors
472 views
Position Vectors
1657 views
Problem-Position Vectors
540 views
Addition of Vectors
2680 views
Problem-Addition of Vectors
606 views
Subtraction of Vectors
862 views
Problem-Subtraction of Vectors
421 views
Scalar Multiple of a Vector
970 views
Problem-Scalar Multiple of a Vector
486 views
The Ratio Formula in Vector
912 views
Problem1-The Ratio Formula in Vector
528 views
Problem2-The Ratio Formula in Vector
297 views
Mid-Point Theorem By Vectors
835 views
Diagonals of Parallelogram Bisect Each Other by Vectors
1976 views
Ratio Theorem By Vectors
939 views
Problem-Ratio Theorem By Vectors
421 views
3.2: Dot or Scalar Product
Scalar Product of Two Vectors
897 views
Problem-Scalar Product of Two Vectors
435 views
Properties of Scalar Product
763 views
More on Properties of Scalar Product
279 views
Problem-Properties of Scalar Product
287 views
Perpendicular Vectors
305 views
Problem-Perpendicular Vectors
300 views
Parallel Vectors
635 views
Problem-Parallel Vectors
472 views
Direction Angles and Direction Cosines of Vector
1291 views
Problem-Direction Angles and Direction Cosines of Vector
567 views
Angle Between Two Vectors
451 views
Problem-Angle Between Two Vectors
295 views
Projection of One Vector Upon Another Vector
560 views
Problem-Projection of One Vector Upon Another Vector
317 views
Application of Scalar Product
518 views
Problem-Application of Scalar Product
249 views
3.3: Cross or Vector Product of Two Vectors
Cross Product of Two Vectors
927 views
More on Cross Product of Two Vectors
413 views
Problem-Cross Product of Two Vectors
466 views
Derivation of Useful Results of Cross Product
342 views
Problem-Derivation of Useful Results of Cross Product
256 views
Expression of Cross Product in Terms of Components
303 views
More on Expression of Cross Product in Terms of Components
273 views
Problem-Expression of Cross Product in Terms of Components
238 views
Properties of Cross Product
386 views
More on Properties of Cross Product
253 views
Problem-Properties of Cross Product
211 views
Area of Parallelogram by Vectors
521 views
Area of Triangle by Vectors
520 views
Direction Numbers or Direction Ratios
771 views
Problem-Direction Numbers or Direction Ratios
492 views
Condition of Parallel Vectors in Cross Product
423 views
Problem-Condition of Parallel Vectors in Cross Product
152 views
Moment of Force
643 views
Problem-Moment of Force
275 views
3.4: Scalar Triple Product
Scalar Triple Product
1734 views
Problem-Scalar Triple Product
431 views
Properties of Scalar Triple Product
376 views
Problem-Properties of Scalar Triple Product
342 views
Analytical Expression of Triple Product
330 views
Problem-Analytical Expression of Triple Product
274 views
Volume of Parallelepiped by Triple Product
803 views
Problem-Volume of Parallelepiped by Triple Product
271 views
Volume of Tetrahedron by Triple Product
3266 views
Problem-Volume of Tetrahedron by Triple Product
415 views
Collinear and Coplanar Vectors
2788 views
Problem-Collinear and Coplanar Vectors
684 views
Chapter 4 Sequences and Series (
63 videos
)
4.1: Sequence
Number Sequences
1904 views
Problem Solving
963 views
General Term in a Number Sequence
1826 views
Problem-Introduction to Sequence and Series
4119 views
4.2: Arithmetic Sequence
Concept of Arithmetic Progression
4717 views
Problem-Concept of Arithmetic Progression
2716 views
Concept of Arithmetic Mean
2924 views
Problem-Concept of Arithmetic Mean
1581 views
4.3: Arithmetic Series
Concept of Series
1872 views
Problem1-Concept of Series
1517 views
Problem2-Concept of Series
1005 views
Sum of First n Terms of an Arithmetic Series
1609 views
Problem-Sum of First n Terms of an Arithmetic Series
1004 views
4.4: Geometric Sequnce
Concept of Geometric Progressions
2263 views
Problem1-Concept of Geometric Progressions
1213 views
Problem2-Concept of Geometric Progressions
963 views
4.5: Geometric Mean
Concept of Geometric Means
2099 views
Problem-Concept of Geometric Means
795 views
4.6: Geometric Series
Introduction to Geometric Series
1123 views
Problem-Introduction to Geometric Series
790 views
Sum of n Terms of a Geometric Series
1116 views
Problem-Sum of n Terms of a Geometric Series
711 views
The Infinite Geometric Series
1867 views
More on The Infinite Geometric Series
682 views
Problem1-The Infinite Geometric Series
530 views
Problem2-The Infinite Geometric Series
496 views
Recurring Decimals
608 views
Word Problems on Geometric Series
929 views
More on Word Problems on Geometric Series
487 views
Problem1-Word Problems on Geometric Series
474 views
Problem2-Word Problems on Geometric Series
384 views
Problem3-Word Problems on Geometric Series
381 views
4.7: Harmonic Sequence
Concept of Harmonic Progression
1402 views
Problem-Concept of Harmonic Progression
683 views
General Term of Harmonic Progression
624 views
Problem-General Term of Harmonic Progression
466 views
The Characteristic Relation for H.P
446 views
Problem-The Characteristic Relation for H.P
369 views
An Important Theorem
427 views
More on An Important Theorem
329 views
Problem-An Important Theorem
309 views
Concept of Harmonic Mean
1978 views
Problem-Concept of Harmonic Mean
384 views
n Harmonic Means Between Two Numbers
1894 views
Problem-n Harmonic Means Between Two Numbers
540 views
Relations Between A.M, G.M & H.M
1603 views
More on Relations Between A.M, G.M & H.M
512 views
Problem-Relations Between A.M, G.M & H.M
617 views
4.8: Micellaneous Series
Sigma Notation ( or Summation Notation )
2003 views
Problem 1-Sigma Notation ( or Summation Notation )
1364 views
Problem 2 -Sigma Notation ( or Summation Notation )
1056 views
4.9: Arithmetico-Geometric Series
Arithmetical-Geometric Series
937 views
Problem-Arithmetical-Geometric Series
605 views
Sum of n Terms of Arithmetical-Geometric Series
1053 views
More on Sum of n Terms of Arithmetical-Geometric Series
561 views
Further on Sum of n Terms of Arithmetical-Geometric Series
454 views
Problem-Sum of n Terms of Arithmetical-Geometric Series
499 views
Sum to Infinity of Arithmetico-Geometric Series
815 views
Problem-Sum to Infinity of Arithmetico-Geometric Series
694 views
4.10: Methods of Difference
The Method of Differences
920 views
Problem-The Method of Differences
588 views
Summation of Series By Partial Fractions
697 views
Problem-Summation of Series By Partial Fractions
478 views
Chapter 5 Polynomials (
14 videos
)
5.1: Algebraic Expression
Definition of Algebraic Expression
5448 views
Polynomials w.r.t Degree & Coefficients
2067 views
Linear, Quadratic & Cubic Polynomials
385 views
Rational and Irrational Expressions
5882 views
Problem-Rational and Irrational Expressions
587 views
5.2: Remainder Theorem and Factor Theorem
Remainder Theorem
6551 views
Problem-Remainder Theorem
3453 views
Problem1-Remainder Theorem
1741 views
Zero of polynomial and concept of factor
1131 views
Problem-Zero of polynomial and concept of factor
904 views
5.3: Factor Theorem
Factor Theorem
3287 views
Problem2-Factor Theorem
2091 views
5.4: Factorization of a Cubic Polynomial
Factoring cube polynomial
2999 views
Problem-Factoring cube polynomial
2075 views
Chapter 6 Permutation and Combination (
15 videos
)
6.1: Factorial Notation
Introduction to Factorial Notation
3374 views
Problem-Introduction to Factorial Notation
2855 views
6.2: Permutation
Introduction to Permutation
6193 views
Problem-Introduction to Permutation
4286 views
Permutation of Things Not All Different
3782 views
Problem-Permutation of Things Not All Different
2366 views
Circular Permutation
2918 views
Problem-Circular Permutation
2077 views
6.3: Combinations
Introduction to Combinations
3175 views
Problem1-Introduction to Combinations
1744 views
Problem2-Introduction to Combinations
1279 views
Theorems on Combination
679 views
Complementary Combination
1674 views
Problem1-Complementary Combination
1125 views
Problem2-Complementary Combination
1033 views
Chapter 7 Mathematical Induction and Binomial Theorem (
33 videos
)
7.1: Mathematical Induction
Introduction to Mathematical Induction
6888 views
Problem-Introduction to Mathematical Induction
3865 views
Principle of Mathematical Induction
3279 views
More on Principle of Mathematical Induction
1551 views
Problem1-Principle of Mathematical Induction
1705 views
Problem2-Principle of Mathematical Induction
1101 views
7.2: Binomial Theorem
Introduction to Binomial Theorem
3081 views
Problem1-Introduction to Binomial Theorem
1957 views
Problem2-Introduction to Binomial Theorem
1308 views
Proof of Binomial Theorem
1726 views
More on Proof of Binomial Theorem
883 views
Problem1-Proof of Binomial Theorem
826 views
Problem2-Proof of Binomial Theorem
584 views
Deductions From Binomial Theorem
Problem1-Deductions From Binomial Theorem
633 views
Problem2-Deductions From Binomial Theorem
520 views
Some Important Observations
838 views
Pascal's Triangle
832 views
Problem1-Pascal's Triangle
582 views
Problem2-Pascal's Triangle
477 views
The Middle Term in the Expansion of ( a + x ) ^n
921 views
Problem1-The Middle Term in the Binomial Expansion
662 views
Problem2-The Middle Term in the Binomial Expansion
480 views
More on Problem2-The Middle Term in the Binomial Expansion
449 views
Problem3-The Middle Term in the Binomial Expansion
495 views
Some Deductions From the Binomial Expansion
1136 views
Problem1-Some Deductions From the Binomial Expansion
679 views
Problem2-Some Deductions From the Binomial Expansion
498 views
Problem3-Some Deductions From the Binomial Expansion
496 views
7.3: Binomial Series
Applications of the Binomial Theorem
1157 views
More on Applications of the Binomial Theorem
671 views
Problem1-Applications of the Binomial Theorem
642 views
Problem2-Applications of the Binomial Theorem
623 views
Chapter 8 Fundamentals of Trignometry (
26 videos
)
8.1: Distance Formula
Derivation of Distance formula
11702 views
Use of Distance formula
5389 views
8.2: Fundamental Law of Trignometry
Fundamental Law of Trigonometry
5575 views
More on Fundamental Law of Trigonometry
2949 views
Problem-Fundamental Law of Trigonometry
1579 views
Problem-Proof of Angle Addition Formula for Cosine
749 views
8.3: Trigonometric Ratios of Allied Angles
Trigonometric Ratios and Allied Angles
2704 views
More on Trigonometric Ratios and Allied Angles
1198 views
Problem1-Trigonometric Ratios and Allied Angles
1278 views
Problem2-Trigonometric Ratios and Allied Angles
776 views
8.4: Expressing a sinθ + b sinθ in the form r sin(θ+ϕ)
Writing aSinA + bCosA in the Form r Sin(A + B )
1066 views
8.5: Double, Half and Triple Angle Identities
Double Angle Identities
1172 views
Problem-Double Angle Identities
750 views
Half Angle Identities
942 views
Problem-Half Angle Identities
545 views
Triple Angle Identities
711 views
More on Triple Angle Identities
372 views
Further on Triple Angle Identities
297 views
Problem1-Triple Angle Identities
346 views
Problem2-Triple Angle Identities
300 views
8.6: Sum, Difference and Product of Sines and Cosines
Product to Sum or Difference of Sines and Cosines
1052 views
Problem-Product to Sum or Difference of Sines and Cosines
584 views
Sum or Difference to Product of Sines and Cosines
597 views
More on Sum or Difference to Product of Sines and Cosines
420 views
Problem-Sum or Difference to Product of Sines and Cosines
476 views
Applications of Product of Sines and Cosines
594 views
Chapter 9 Trignometric Functions (
38 videos
)
9.1: Domain and Range of Trignometric Functions
Domain and Ranges of Trigonometric Functions and Fundamental Identities
5295 views
Problem1-Domain and Ranges of Trigonometric Functions and Fundamental Identities
2341 views
Problem2-Domain and Ranges of Trigonometric Functions and Fundamental Identities
1219 views
Problem3-Domain and Ranges of Trigonometric Functions and Fundamental Identities
968 views
Domain and Ranges of Sine and Cosine Functions
1519 views
More on Domain and Ranges of Sine and Cosine Functions
729 views
Problem-Domain and Ranges of Sine and Cosine Functions
586 views
Domain and Ranges of Tangent and Cotangent Functions
1159 views
More on Domain and Ranges of Tangent and Cotangent Functions
695 views
Problem-Domain and Ranges of Tangent and Cotangent Functions
488 views
Domain and Range of Secant Function
792 views
More on Domain and Range of Secant Function
410 views
Problem-Domain and Range of Secant Function
369 views
Domain and Ranges of Cosecant Function
534 views
More on Domain and Range of Cosecant Function
348 views
Problem-Domain and Range of Cosecant Function
360 views
9.2: Periodicity of Trignometric Functions
Introduction to Period of Trigonometric Functions
2782 views
Problem-Introduction to Period of Trigonometric Functions
1098 views
9.3: Graphs of Trignometric Functions
Graphs of Trigonometric Functions
1836 views
Problem-Graphs of Trigonometric Functions
919 views
Graph of y = Sin x From - 360 to 360 Degree
1046 views
Problem1-Graph of y = Sin x From - 360 to 360 Degree
533 views
Problem1-Graph of y = Sin x From - 360 to 360 Degree
380 views
Graph of y = Cos x From - 360 to 360 Degree
499 views
Problem1-Graph of y = Cos x From - 360 to 360 Degree
322 views
Problem2-Graph of y = Cos x From - 360 to 360 Degree
278 views
Graph of y = Tan x From - 180 to 180 Degree
684 views
Problem-Graph of y = Tan x From - 180 to 180 Degree
397 views
Graph of y = Cot x From - 360 to 180 Degree
380 views
Problem-Graph of y = Cot x From - 360 to 180 Degree
270 views
Graph of y = Sec x From - 360 to 360 Degree
332 views
Problem-Graph of y = Sec x From - 360 to 360 Degree
255 views
Graph of y = Cosec x From - 360 to 360 Degree
287 views
Problem-Graph of y = Cosec x From - 360 to 360 Degree
220 views
Graph of Sin2A and Cos2A Where A is a Positive Constant
402 views
More on Graph of Sin2A and Cos2A Where A is a Positive Constant
273 views
9.4: Even and Odd Trignometric Functions
Even and Odd Functions
2827 views
Problem-Even and Odd Functions
1438 views
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