11 Mathematics by Maktab
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- 11 Mathematics by Maktab
Curriculum
- 14 Sections
- 300 Lessons
- 10 Weeks
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- 1.01 Number System19
- 2.0CH 1 LEC 1 Introduction to Number Systems
- 2.1CH 1 LEC 2 Properties of Real Numbers (Part 1)
- 2.2CH 1 LEC 3 Properties of Real Numbers (Part 2)
- 2.3CH 1 LEC 4 Properties of Real Numbers (Part 3)
- 2.4CH 1 LEC 5 Properties of Real Numbers (Part 4)
- 2.5CH 1 LEC 6 Ex 1.1
- 2.6Ch 1 LEC 7 Introduction to Complex Numbers
- 2.7Ch 1 LEC 8 Operations on Complex Numbers
- 2.8Ch 1 LEC 9 Complex Numbers as Ordered Pairs of Real Numbers
- 2.9Ch 1 LEC 10 Properties of the Fundamental Operations on Complex Numbers
- 2.10Ex 1.2 LEC 11 Q 1-3
- 2.11Ex 1.2 LEC 12 Q 4-5
- 2.12Ex 1.2 LEC 13 Q 6-12
- 2.13Ex 1.2 LEC 14 Q 13-16
- 2.14Ch 1 LEC 15 The Real Line
- 2.16Ch 1 LEC 16 The Real Plane or Coordinate Plane
- 2.17Ch 1 LEC 17 The Complex Plane
- 2.18Ex 1.3 LEC 18 Q 1-3
- 2.19Ex 1.3 LEC 19 Q 4-7
- 1.02 Sets, Functions and Groups28
- 3.0Ch 2 LEC 1 Intro-1
- 3.1Ch 2 LEC 2 Intro-2
- 3.2Ch 2 LEC 3 Intro-3
- 3.3Ex 2.1 LEC 4 Q 1
- 3.4Ex 2.1 LEC 5 Q 2-3
- 3.5Ex 2.1 LEC 6 Q 4-8
- 3.6Ex 2.1 LEC 7 Q 9-10
- 3.7Ch 2 LEC 8 Operations on sets
- 3.8Ex 2.2 LEC 9 Venn Diagrams
- 3.9Ex 2.2 LEC 10 Q 1-4
- 3.10Ex 2.2 LEC 11 Q 5-6
- 3.11Ch 2 LEC 12 Properties of Union and Intersection
- 3.12Ch 2 LEC 13 De Morgan’s Laws
- 3.13Ex 2.3 LEC 14 Q 1-2
- 3.14Ex 2.3 LEC 15 Q 3-9
- 3.15Ch 2 LEC 16 Symbolic Logic
- 3.16Ch 2 LEC 17 Conditional and Biconditional
- 3.17Ch 2 LEC 18 Tautalogy Absurdity and Quantifiers
- 3.18Ex 2.4 LEC 19 Q 1-5
- 3.19Ch 2 LEC 20 Truth Sets
- 3.20Ex 2.5 LEC 21 Q 1-4
- 3.21Ch 2 LEC 22 Relations
- 3.22Ch 2 LEC 23 Functions
- 3.23Ch 2 LEC 24 Types of Functions
- 3.24Ex 2.6 LEC 25 Q 1-3
- 3.25Ex 2.6 LEC 26 Q 4
- 3.26FSc Math Book1, CH 2, LEC 27
- 3.27FSc Math Book1, CH 2, LEC 28
- 1.03 Matrices and Determinants28
- 4.0Ch 3 LEC 1 intro-1
- 4.1Ch 3 LEC 2 Intro-2
- 4.2Ch 3 LEC 3 Intro-3
- 4.3Ch 3 LEC 4 Intro-4
- 4.4Ex 3.1 LEC 5 Q 1-5
- 4.5Ex 3.1 LEC 6 Q 8-11
- 4.6Ex 3.1 LEC 7 Q 12-14
- 4.7Ex 3.2 LEC 8 Q 1-3
- 4.8Ex 3.2 LEC 9 Q 6-9
- 4.9Ch 3 LEC 10 Determinants and Cofactors
- 4.10Ch 3 LEC 11 Inverse of Matrics of Order 3
- 4.11Ch 3 LEC 12 Properties of Determinants
- 4.12Ex 3.3 LEC 13 Q 1-2
- 4.13Ex 3.3 LEC 14 Q 3-4
- 4.14Ex 3.3 LEC 15 Q 5-6
- 4.15Ex 3.3 LEC 16 Q 7-8
- 4.16Ex 3.3 LEC 17 Q 9-10
- 4.17Ex 3.3 LEC 18 Q 11-13
- 4.18Ex 3.3 LEC 19 Q 14-17
- 4.19Ex 3.4 LEC 23 Q 1-4
- 4.20Ex 3.4 LEC 24 Q 5-6
- 4.21Ex 3.4 LEC 25 Q 7-10
- 4.22Ch 3 LEC 20 Elementary Row and Column Operations on a Matrix
- 4.23Ch 3 LEC 21 Echelon and Reduced Echelon forms of Matrices
- 4.24Ch 3 LEC 22 Conversion of a Matrix into Echelon and Reduced Echelon forms
- 4.25Ch 3 LEC 26 System of Linear Equations
- 4.26Ch 3 LEC 27 Augmented Matrix
- 4.27Ch 3 LEC 28 Cramer’s Rule
- 1.04 Quadratic Equations30
- 5.0CH 4 LEC 1 An Introduction to Quadratic Equations
- 5.1CH 4 LEC 2 Solution of Quadratic Equations
- 5.2CH 4 LEC 3 Ex 4.1
- 5.3CH 4 LEC 4 Equations Reducible to Quadratic Equations (Part 1)
- 5.4CH 4 LEC 5 Equations Reducible to Quadratic Equations (Part 2)
- 5.5CH 4 LEC 6 Exponential Equations
- 5.6CH 4 LEC 7 Reciprocal Equations
- 5.7CH 4 LEC 8 Ex 4.2 (Part 1)
- 5.8CH 4 LEC 9 Ex 4.2 (Part 2)
- 5.9CH 4 LEC 10 Ex 4.2 (Part 3)
- 5.10CH 4 LEC 11 Radical Equations (Type 1)
- 5.11CH 4 LEC 12 Radical Equations (Type 2 & 3)
- 5.12CH 4 LEC 13 Radical Equations (Type 4)
- 5.13CH 4 LEC 14 Ex 4.3 (Part 1)
- 5.14CH 4 LEC 15 Ex 4.3 (Part 2)
- 5.15CH 4 LEC 16 Cube Roots of Unity
- 5.16CH 4 LEC 17 Ex 4.4 (Part 1)
- 5.17CH 4 LEC 18 Ex 4.4 (Part 2)
- 5.18CH 4 LEC 19 Polynomial Functions & Remainder Theorem
- 5.19CH 4 LEC 20 Factor Theorem & Synthetic Division
- 5.20CH 4 LEC 21 Ex 4.5
- 5.21CH 4 LEC 22 Relation Between Roots & Coefficients
- 5.22CH 4 LEC 23 Ex 4.6 (Part 1)
- 5.23CH 4 LEC 24 Ex 4.6 (Part 2)
- 5.24CH 4 LEC 25 Nature of Roots of a Quadratic Equation
- 5.25CH 4 LEC 26 Ex 4.7
- 5.26CH 4 LEC 27 System Of Equations
- 5.27CH 4 LEC 28 Ex 4.8
- 5.28CH 4 LEC 29 Problems on Quadratic Equations
- 5.29CH 4 LEC 30 Ex 4.10
- 1.05 Partial Fractions10
- 6.0CH 5 LEC 1 Introduction of Partial Fractions
- 6.1CH 5 LEC 2 Non-repeated Linear Factors (Case 1)
- 6.2CH 5 LEC 3 Ex 5.1 (Part 1)
- 6.3CH 5 LEC 4 Ex 5.1 (Part 2)
- 6.4CH 5 LEC 5 Partial Fractions (Case 2)
- 6.5CH 5 LEC 6 Ex 5.2
- 6.6CH 5 LEC 7 When Q(x) contains Non Repeated Irreducible Quadratic Factors (Case 3)
- 6.7CH 5 LEC 8 Ex 5.3
- 6.8CH 5 LEC 9 Partial Fractions (Case 4)
- 6.9CH 5 LEC 10 Ex 5.4
- 1.06 Sequences and Series27
- 7.0CH 6 LEC 1 Introduction of Sequences
- 7.1CH 6 LEC 2 Ex 6.1
- 7.2CH 6 LEC 3 Arithmetic Sequence
- 7.3CH 6 LEC 4 Ex 6.2 (Part 1)
- 7.4CH 6 LEC 5 Ex 6.2 (Part 2)
- 7.5CH 6 LEC 6 Arithmetic Mean
- 7.6CH 6 LEC 7 Ex 6.3
- 7.7CH 6 LEC 8 Arithmetic Series
- 7.8CH 6 LEC 9 Ex 6.4 (Part 1)
- 7.9CH 6 LEC 10 Ex 6.4 (Part 2)
- 7.10CH 6 LEC 11 Ex 6.4 (Part 3)
- 7.11CH 6 LEC 12 Word Problems on Arithmetic Progressions
- 7.12CH 6 LEC 13 Ex 6.5
- 7.13CH 6 LEC 14 Geometric Sequences
- 7.14CH 6 LEC 15 Ex 6.6 (Part 1)
- 7.15CH 6 LEC 16 Ex 6.6 (Part 2)
- 7.16CH 6 LEC 17 Ex 6.7 (Part 1)
- 7.17CH 6 LEC 18 Ex 6.7 (Part 2)
- 7.18CH 6 LEC 19 Geometric Mean
- 7.19CH 6 LEC 20 Geometric Series
- 7.20CH 6 LEC 21 Ex 6.8 (Part 1)
- 7.21CH 6 LEC 22 Ex 6.8 (Part 2)
- 7.22CH 6 LEC 23 Ex 6.9
- 7.23CH 6 LEC 24 Relation between Arithmetic Geometric and Harmonic Means
- 7.24CH 6 LEC 25 Harmonic Sequence
- 7.25CH 6 LEC 26 Ex 6.10 (Part 1)
- 7.26CH 6 LEC 27 Ex 6.10 (Part 2)
- 1.07 Permutation , Combination and Probability35
- 8.0Ch 7 LEC 1 Factorial Notation
- 8.1Ex 7.1 LEC 2 Q 1-2
- 8.2Ch 7 LEC 3 Fundamental Priciple of Counting
- 8.3Ch 7 LEC 4 Permutation
- 8.4Ex 7.2 LEC 5 Q 1-3
- 8.5Ex 7.2 LEC 6 Q 4-7
- 8.6Ex 7.2 LEC 7 Q 8-9
- 8.7Ex 7.2 LEC 8 Q 10-14
- 8.8Ch 7 LEC 9 Circular Permutation
- 8.9Ex 7.3 LEC 10 Q 1-4
- 8.10Ex 7.3 LEC 11 Q 5-7
- 8.11Ex 7.3 LEC 12 Q 8-12
- 8.12Ch 7 LEC 13 Combinations
- 8.13Ch 7 LEC 14 Complementary Combinations
- 8.14Ex 7.4 LEC 15 Q 1-3
- 8.15Ex 7.4 LEC 16 Q 3-4
- 8.16Ex 7.4 LEC 17 Q 5-7
- 8.17Ex 7.4 LEC 18 Q 8-10
- 8.18Ch 7 LEC 19 Probability
- 8.19Ch 7 LEC 20 Calculation of Probability
- 8.20Ex 7.5 LEC 21 Q 1-2
- 8.21Ex 7.5 LEC 22 Q 3-5
- 8.22Ex 7.5 LEC 23 Q 6-10
- 8.23Ch 7 LEC 24 Estimating Probability and Tally Marks
- 8.24Ex 7.6 LEC 25 Q 1-3
- 8.25Ex 7.6 LEC 26 Q
- 8.26Ex 7.7 LEC 27 Q 1-4
- 8.27Ex 7.7 LEC 28 Q 4-5
- 8.28Ex 7.7 LEC 29 Q 6-8
- 8.29Ch 7 LEC 30
- 8.30Ch 7 LEC 31
- 8.31Ex 7.8 LEC 32 Q 1-2
- 8.32Ex 7.8 LEC 33 Q 3-5
- 8.33Ex 7.8 LEC 34 Q 6
- 8.34Ex 7.8 LEC 35 Q 7-10
- 1.08 Mathematical Induction and Binomial Theorem26
- 9.0Ch 8 LEC 1 Mathematical Induction Introduction
- 9.1Ch 8 LEC 2 Principle of Mathematical Induction
- 9.2Ch 8 LEC 3 Principle of Extended Mathematical Induction
- 9.3Ex 8.1 LEC 4 Q 1-4
- 9.4Ex 8.1 LEC 5 Q 5-10
- 9.5Ex 8.1 LEC 6 Q 11-15
- 9.6Ex 8.1 LEC 7 Q 16-20
- 9.7Ex 8.1 LEC 8 Q 21-25
- 9.8Ex 8.1 LEC 9 Q 26-30
- 9.9Ex 8.1 LEC 10 Q 31-38
- 9.10Ch 8 LEC 11 Binomial Theorem Part 1
- 9.11Ch 8 LEC 12 Binomial Theorem Part 2
- 9.12Ch 8 LEC 13 Binomial Theorem Part 3
- 9.13Ch 8 LEC 14 Binomial Theorem Part 4
- 9.14Ch 8 LEC 15 Middle Term of Expansion
- 9.15Ex 8.2 LEC 16 Q 1-2
- 9.16Ex 8.2 LEC 17 Q 3-4
- 9.17Ex 8.2 LEC 18 Q 5-7
- 9.18Ex 8.2 LEC 19 Q 8-11
- 9.19Ex 8.2 LEC 20 Q 12-14
- 9.20Ch 8 LEC 21 Binomial Series
- 9.21Ch 8 LEC 22 Summation of Binomial Series
- 9.22Ex 8.3 LEC 23 Q 1-2
- 9.23Ex 8.3 LEC 24 Q 3-4
- 9.24Ex 8.3 LEC 25 Q 5-7
- 9.25Ex 8.3 LEC 26 Q 8-9
- 1.09 Fundamentals of Trigonometry18
- 10.0Ch 9 LEC 1 Intro-1
- 10.1Ch 9 LEC 2 Intro-2
- 10.2Ex 9.1 LEC 3 Q 1-7
- 10.3Ex 9.1 LEC 4 Q 8-12
- 10.4Ch 9 LEC 5 Trigonometric Functions-1
- 10.5Ch 9 LEC 6 Trigonometric Functions-2
- 10.6Ch 9 LEC 7 Fundamental Identities
- 10.7Ch 9 LEC 8 Signs of Trigonometric functions
- 10.8Ex 9.2 LEC 9 Q 1-3
- 10.9Ex 9.2 LEC 10 Q 4-5
- 10.10Ex 9.2 LEC 11 Q 6-8
- 10.11Ch 9 LEC 12 Values of Trigonometric Functions of Acute Angles 453060
- 10.12Ch 9 LEC 13 Values of Trigonometric Functions of Quadrantal Angles 090180270 360
- 10.13Ex 9.3 LEC 14 Q 1-2
- 10.14Ex 9.3 LEC 15 Q 3-5
- 10.15Ex 9.4 LEC 16 Q 1-6
- 10.16Ex 9.4 LEC 17 Q 7-12
- 10.17Ex 9.4 LEC 18 Q 13-24
- 1.10 Trigonometric Identities28
- 11.0Ch 10 LEC 1 Fundamental law of trigonometry part 1
- 11.1Ch 10 LEC 2 Fundamental law of trigonometry part 2
- 11.2Ch 10 LEC 3 Deductions from fundamental law part 1
- 11.3Ch 10 LEC 4 Deductions from fundamental law part 2
- 11.4Ch 10 LEC 5 Trigonometric ratios of allied angles part 1
- 11.5Ch 10 LEC 6 Trigonometric ratios of allied angles part 2
- 11.6Ex 10.1 LEC 7 Q 1
- 11.7Ex 10.1 LEC 8 Q 2
- 11.8Ex 10.1 LEC 9 Q 3
- 11.9Ex 10.1 LEC 10 Q 4
- 11.10Ex 10.1 LEC 11 Q 5
- 11.11Ex 10.2 LEC 12 Q 1-2
- 11.12Ex 10.2 LEC 13 Q 3-4
- 11.13Ex 10.2 LEC 14 Q 4(iv)-5
- 11.14Ex 10.2 LEC 15 Q 6-7
- 11.15Ex 10.2 LEC 16 Q 8
- 11.16Ex 10.2 LEC 17 Q 9-10
- 11.17Ex 10.2 LEC 18 Q 11-12
- 11.18Ex 10.2 LEC 19 Q 13-14
- 11.19Ch 10 LEC 20 Double angle identities
- 11.20Ch 10 LEC 21 Half angle and Triple angle identities
- 11.21Ex 10.3 LEC 22 Q 1-3
- 11.22Ex 10.3 LEC 23 Q 4-7
- 11.23Ex 10.3 LEC 24 Q 8-11
- 11.24Ex 10.3 LEC 25 Q 12-13
- 11.25Ex 10.3 LEC 26 Q 14-15
- 11.26Ex 10.3 LEC 28 Q 1-2
- 11.27Ch 10 LEC 27 Sum Difference and Product of Sines and Cosines
- 1.11 Trigonometric Functions and their Graphs9
- 12.0Ch 11 LEC 1 Domain and Ranges of Trigonometric Functions
- 12.1Ch 11 LEC 2 Domain and Ranges of Trigonometric Functions part 2
- 12.2Ch 11 LEC 3 Period of Trigonometric Functions
- 12.3Ex 11.1 LEC 4 Q 1-15
- 12.4Ch 11 LEC 5 Graphs of Trigonometric Functions
- 12.5Ch 11 LEC 6 Graphs of Consine and Tangent
- 12.6Ex 11.1 LEC 7 Q 1
- 12.7Ex 11.2 LEC 8 Q 2
- 12.8Ex 11.2 LEC 9 Q 3
- 1.12 Application of Trigonometry32
- 13.0CH 12 LEC 1 Introduction
- 13.1CH 12 LEC 2 Tables of Trigonometric Ratios
- 13.2Ex 12.1 LEC 3 Q 1-2
- 13.3CH 12 LEC 4 Solution of Right Triangle
- 13.4Ex 12.2 LEC 5 Q 1-7
- 13.5CH 12 LEC 6 Heights and Distances
- 13.6Ex 12.3 LEC 7 Q 1-4
- 13.7Ex 12.3 LEC 8 Q 5-8
- 13.8Ex 12.3 LEC 9 Q 9-15
- 13.9CH 12 LEC 10 Oblique Triangles and Law of Cosine
- 13.10CH 12 LEC 11 Oblique Triangles and Law of Sine
- 13.11CH 12 LEC 12 Oblique Triangles and Law of Tangents
- 13.12CH 12 LEC 13 The Sine of Half Angle in Term of Sides
- 13.13CH 12 LEC 14 The Cosine and Tangent of Half Angle in Term of Sides
- 13.14Ex 12.4 LEC 15 Q 1-5
- 13.15CH 12 LEC 16 Solution of Oblique Triangle Case-ll
- 13.16CH 12 LEC 17 Solution of Oblique Triangle Case-lll
- 13.17Ex 12.5 LEC 18 Q 1-10
- 13.18Ex 12.6 LEC 19 Q 1-13
- 13.19CH 12 LEC 20 Area of Triangle Case-l
- 13.20CH 12 LEC 21 Area of Triangle Case-ll and Case-lll
- 13.21Ex 12.7 LEC 22 Q 1-6
- 13.22CH 12 LEC 23 Circles Connected with Triangle (Circum Circle Part 1)
- 13.23CH 12 LEC 24 Circles Connected with Triangle (Circum Circle Part 2)
- 13.24CH 12 LEC 25 Circles Connected with Triangle (Deduction of Law of Sines)
- 13.25CH 12 LEC 26 Circles Connected with Triangle (In-Circle)
- 13.26CH 12 LEC 27 Circles Connected with Triangle (Escribed Circle)
- 13.27Ex 12.8 LEC 28 Q 1-2
- 13.28Ex 12.8 LEC 29 Q 3-4
- 13.29Ex 12.8 LEC 30 Q 5-6
- 13.30Ex 12.8 LEC 31 Q 7-8
- 13.31Ex 12.8 LEC 32 Q 9-12
- 1.13 Inverse Trigonometric Functions7
- 14.0Ch 13 LEC 1 Inverse Trigonometric Functions (Inverse Sine)
- 14.1Ch 13 LEC 2 Inverse Trigonometric Functions (Inverse Cosine and Inverse Tangent)
- 14.2Ch 13 LEC 3 Other Inverse Trigonometric Functions and Their Domains
- 14.3Ex 13.1 LEC 4 Q 1-3
- 14.4Ch 13 LEC 5 Addition and Subtraction of Inverse Trigonometric Functions
- 14.5Ex 13.2 LEC 6 Q 1-7
- 14.6Ex 13.2 LEC 7 Q 8-20
- 1.14 Solutions of Trigonometric Equation3
Ex 9.4 LEC 18 Q 13-24
This video lecture from Fundamentals of Trigonometry (F.Sc. first year Mathematics) covers: Question numbers 13-24 of exercise 9.4. In these questions we prove the given trigonometric identities and find the domain of angle in each case. Find more e-learning material and educational video lectures in Urdu at maktab.pk. These videos are free to use for promotional and commercial purpose by keeping the credits to Maktab.