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12 Mathematics by Maktab

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  • Intermediate (HSSC)
  • 12 Mathematics by Maktab

12 Mathematics by Maktab

Curriculum

  • 7 Sections
  • 207 Lessons
  • 10 Weeks
Expand all sectionsCollapse all sections
  • 2.01 Functions and Limits
    13
    • 2.0
      Ch 1 LEC 1 Intro-1
    • 2.1
      Ch 1 LEC 2 Intro-2
    • 2.2
      Ch 1 LEC 3 Intro-3
    • 2.3
      Ex 1.1 LEC 4 Q 1-3
    • 2.4
      Ex 1.1 LEC 5 Q 4-6
    • 2.5
      Ex 1.1 LEC 6 Q 7-9
    • 2.6
      Ex 1.2 LEC 7 Q 1-3
    • 2.7
      Ex 1.3 LEC 8 Q 1-2
    • 2.8
      Ex 1.3 LEC 9 Q 3
    • 2.9
      Ex 1.4 LEC 10 Q 1-3
    • 2.10
      Ex 1.4 LEC 11 Q 4-6
    • 2.11
      Ex 1.5 LEC 12 Q 1-2
    • 2.12
      Ex 1.5 LEC 13 Q 3-4
  • 2.02 Differentiation
    35
    • 3.0
      Ch 2 LEC 1 Intro-1
    • 3.1
      Ch 2 LEC 2 Intro-2
    • 3.2
      Ch 2 LEC 3 Intro-3
    • 3.3
      Ch 2 LEC 4 Intro-4
    • 3.4
      Ex 2.1 LEC 5 Q 1(i)
    • 3.5
      Ex 2.1 LEC 6 Q 1(viii)
    • 3.6
      Ex 2.1 LEC 7 Q 2
    • 3.7
      Ex 2.2 LEC 8 Q 1
    • 3.8
      Ex 2.3 LEC 9 Q 1-5
    • 3.9
      Ex 2.3 LEC 10 Q 14-16
    • 3.10
      Ex 2.3 LEC 11 Q 17
    • 3.11
      Ex 2.4 LEC 12 Q 1-3
    • 3.12
      Ex 2.4 LEC 13 Q 4-5
    • 3.13
      Ex 2.4 LEC 14 Q 6
    • 3.14
      Ex 2.5 LEC 15 Q 1
    • 3.15
      Ex 2.5 LEC 16 Q 2-3
    • 3.16
      Ex 2.5 LEC 17 Q 4-6
    • 3.17
      Ex 2.5 LEC 18 Q 9-10
    • 3.18
      Ch 2 LEC 19 Differentiation of Exponential and logarithmic functions
    • 3.19
      Ch 2 LEC 20 Differentiation of Hyperbolic and Inverse Hyperbolic functions
    • 3.20
      Ex 2.6 LEC 21 Q 1-3
    • 3.21
      Ex 2.7 LEC 22 Q 1-3
    • 3.22
      Ex 2.7 LEC 23 Q 4-9
    • 3.23
      Ex 2.8 LEC 24 Q 1
    • 3.24
      Ex 2.8 LEC 25 Q 2-5
    • 3.25
      Ch 2 LEC 26 Increasing and Decreasing Functions
    • 3.26
      Ch 2 LEC 27 Relative Extrema
    • 3.27
      Ex 2.9 LEC 28 Q 1-3
    • 3.28
      Ex 2.9 LEC 29 Q 4-5
    • 3.29
      Ex 2.10 LEC 30 Q 1-3
    • 3.30
      Ex 2.10 LEC 31 Q 4
    • 3.31
      Ex 2.10 LEC 32 Q 5-6
    • 3.32
      Ex 2.10 LEC 33 Q 7-8
    • 3.33
      Ex 2.10 LEC 34 Q 9-10
    • 3.34
      Ex 2.10 LEC 35 Q 11-12
  • 2.03 Integration
    45
    • 4.1
      Ch 3 LEC 1 Integration Introduction and Differentials of Variables
    • 4.2
      Ch 3 LEC 2 Distinguishing dy and delta-y
    • 4.3
      Ex 3.1 LEC 3 Q 1
    • 4.4
      Ex 3.1 LEC 4 Q 2-5
    • 4.5
      Ch 3 LEC 5 Some Standard Formulae for Anti-Derivatives
    • 4.6
      Ch 3 LEC 6 Theorems on Anti-Derivatives
    • 4.7
      Ex 3.2 LEC 7 Q 1(i)-1(iv)
    • 4.8
      Ex 3.2 LEC 8 Q 1(v)-1(x)
    • 4.9
      Ex 3.2 LEC 9 Q 2(i)-2(iv)
    • 4.10
      Ex 3.2 LEC 10 Q 2(v)-2(xiii)
    • 4.11
      Ch 3 LEC 11 Integration by Method of Substitution
    • 4.12
      Ch 3 LEC 12 Some Useful Substitutions in Integration
    • 4.13
      Ch 3 LEC 13 Some Useful Substitutions in Integration Part-ll
    • 4.14
      Ex 3.3 LEC 14 Q 1
    • 4.15
      Ex 3.3 LEC 15 Q 2-7
    • 4.16
      Ex 3.3 LEC 16 Q 8
    • 4.17
      Ex 3.3 LEC 17 Q 9-11
    • 4.18
      Ex 3.3 LEC 18 Q 12-22
    • 4.19
      Ch 3 LEC 19 Integration by Parts
    • 4.20
      Ch 3 LEC 20 Integration by Parts of Trigonometric Functions
    • 4.21
      Ch 3 LEC 21 Integration by Parts of Trigonometric Functions-Part 2
    • 4.22
      Ex 3.4 LEC 22 Q 1(i)-1(iii)
    • 4.23
      Ex 3.4 LEC 23 Q 1(iv)-1(x)
    • 4.24
      Ex 3.4 LEC 24 Q 1(xi)-1(xxi)
    • 4.25
      Ex 3.4 LEC 25 Q 2(i)-1(viii)
    • 4.26
      Ex 3.4 LEC 26 Q 3
    • 4.27
      Ex 3.4 LEC 27 Q 4
    • 4.28
      Ex 3.4 LEC 28 Q 5
    • 4.29
      Ch 3 LEC 29 Integration Involving Partial Fractions (non repeated linear factors)
    • 4.30
      Ch 3 LEC 30 Integration Involving Partial Fractions (repeated linear factors)
    • 4.31
      Ch 3 LEC 31 Integration Involving Partial Fractions (quadratic factors)
    • 4.32
      Ex 3.5 LEC 32 Q 1-31
    • 4.33
      Ch 3 LEC 33 The Definite Integral
    • 4.34
      Ch 3 LEC 34 Funtamental Theorems on Definite Integral
    • 4.35
      Ex 3.6 LEC 35 Q 1-15
    • 4.36
      Ex 3.6 LEC 36 Q 16-30
    • 4.37
      Ch 3 LEC 37 Applications of Definite Integrals
    • 4.38
      Ex 3.7 LEC 38 Q 1-6
    • 4.39
      Ex 3.7 LEC 39 Q 7-13
    • 4.40
      Ch 3 LEC 40 Differential Equations
    • 4.41
      Ch 3 LEC 41 Solution of Differential Equations
    • 4.42
      Ex 3.8 LEC 42 Q 1(i)-1(v)
    • 4.43
      Ex 3.8 LEC 43 Q 2-18
    • 4.44
      Ex 3.8 LEC 44 Q 19-22
    • 4.45
      Ex 3.8 LEC 45 Q 22-23
  • 2.04 Geometry
    39
    • 5.0
      Ex 4.1 LEC 1 Q 1
    • 5.1
      Ex 4.1 LEC 2 Q 2-3
    • 5.2
      Ex 4.1 LEC 3 Q 4
    • 5.3
      Ex 4.1 LEC 4 Q 5
    • 5.4
      Ex 4.1 LEC 5 Q 6-7
    • 5.5
      Ex 4.1 LEC 6 Q 8-10
    • 5.6
      Ex 4.1 LEC 7 Q 12-13
    • 5.7
      Ex 4.1 LEC 8 Q 16
    • 5.8
      Ex 4.1 LEC 9 Q 17
    • 5.9
      Ex 4.3 LEC 10 Q 1
    • 5.10
      Ex 4.3 LEC 11 Q 2
    • 5.11
      Ex 4.3 LEC 12 Q 3-4
    • 5.12
      Ex 4.3 LEC 13 Q 5-6
    • 5.13
      Ex 4.3 LEC 14 Q 7-9
    • 5.14
      Ex 4.3 LEC 15 Q 10
    • 5.15
      Ex 4.3 LEC 16 Q 11
    • 5.16
      Ex 4.3 LEC 17 Q 12
    • 5.17
      Ex 4.3 LEC 18 Q 13-14
    • 5.18
      Ex 4.3 LEC 19 Q 15
    • 5.19
      Ex 4.3 LEC 20 Q 16-17
    • 5.20
      Ex 4.3 LEC 21 Q 21
    • 5.21
      Ex 4.3 LEC 22 Q 22
    • 5.22
      Ex 4.3 LEC 23 Q 23
    • 5.23
      Ex 4.3 LEC 24 Q 24-26
    • 5.24
      Ex 4.3 LEC 25 Q 27
    • 5.25
      Ex 4.3 LEC 26 Q 28-30
    • 5.26
      Ex 4.3 LEC 27 Q 31-32
    • 5.27
      Ex 4.4 LEC 28 Q 1-2
    • 5.28
      Ex 4.4 LEC 29 Q 2b
    • 5.29
      Ex 4.4 LEC 30 Q 2c-3
    • 5.30
      Ex 4.4 LEC 31 Q 4-6
    • 5.31
      Ex 4.4 LEC 32 Q 7
    • 5.32
      Ex 4.4 LEC 33 Q 8-9
    • 5.33
      Ex 4.4 LEC 34 Q 10-14
    • 5.34
      Ex 4.5 LEC 35 overview-1
    • 5.35
      Ex 4.5 LEC 36 overview-2
    • 5.36
      Ex 4.5 LEC 37 Q 1-6
    • 5.37
      Ex 4.5 LEC 38 Q 7-8
    • 5.38
      Ex 4.5 LEC 39 Q 9
  • 2.05 Linear Inequalities
    5
    • 6.0
      Ch 5 LEC 1 intro-1
    • 6.1
      Ch 5 LEC 2 Intro-2
    • 6.2
      Ch 5 LEC 3 intro-3
    • 6.3
      LEC 4 Ex 5.3 Q 1-6
    • 6.4
      Ex 5.3 LEC 5 Q 7-9
  • 2.06 Conic Section
    51
    • 7.0
      CH 6 LEC 1 Introduction to Conics
    • 7.1
      CH 6 LEC 2 Equation of a Circle
    • 7.2
      CH 6 LEC 3 General Form of an Equation of a Circle
    • 7.3
      CH 6 LEC 4 Equations of Circles Determined by Given Conditions
    • 7.4
      CH 6 LEC 5 Equations of Circles Determined by Given Conditions Part 2
    • 7.5
      CH 6 LEC 6 Equations of Circles Determined by Given Conditions Part 3
    • 7.6
      Ex 6.1 LEC 7 Q 1
    • 7.7
      Ex 6.1 LEC 8 Q 2-3
    • 7.8
      Ex 6.1 LEC 9 Q 4-5
    • 7.9
      Ex 6.1 LEC 10 Q 6
    • 7.10
      Ex 6.1 LEC 11 Q 7-9
    • 7.11
      CH 6 LEC 12 Equation of Tangent to the curve
    • 7.12
      CH 6 LEC 13 Equation of Normal to the curve
    • 7.13
      CH 6 LEC 14 Some Theorems on Circle
    • 7.14
      CH 6 LEC 15 Tangential Distance
    • 7.15
      Ex 6.2 LEC 16 Q 1-2
    • 7.16
      Ex 6.2 LEC 17 Q 3-4
    • 7.17
      Ex 6.2 LEC 18 Q 5-7
    • 7.18
      Ex 6.2 LEC 19 Q 8
    • 7.19
      CH 6 LEC 20 Analytical Proofs of Important Properties of a Circle Part 1
    • 7.20
      CH 6 LEC 21 Analytical Proofs of Important Properties of a Circle Part 2
    • 7.21
      CH 6 LEC 22 Analytical Proofs of Important Properties of a Circle Part 3
    • 7.22
      CH 6 LEC 23 Analytical Proofs of Important Properties of a Circle Part 4
    • 7.23
      Ex 6.3 LEC 24 Q 1-2
    • 7.24
      Ex 6.3 LEC 25 Q 3-4
    • 7.25
      CH 6 LEC 26 Introduction to Parabola
    • 7.26
      CH 6 LEC 27 General Form of an Equation of a Parabola
    • 7.27
      Ex 6.4 LEC 28 Q 1-2
    • 7.28
      Ex 6.4 LEC 29 Q 3-4
    • 7.29
      Ex 6.4 LEC 30 Q 5-7
    • 7.30
      CH 6 LEC 31 Intorduction to Ellipse
    • 7.31
      CH 6 LEC 32 Definitions and Graph of an Ellipse
    • 7.32
      Ex 6.5 LEC 33 Q 1-2
    • 7.33
      Ex 6.5 LEC 34 Q 3-5
    • 7.34
      Ex 6.5 LEC 35 Q 6-9
    • 7.35
      CH 6 LEC 36 Introduction to Hyperbola and its Graph
    • 7.36
      Ch 6 LEC 37 Summary of Standard Hyperbolas
    • 7.37
      Ex 6.6 LEC 38 Q 1
    • 7.38
      Ex 6.6 LEC 39 Q 2-3
    • 7.39
      Ex 6.6 LEC 40 Q 4-6
    • 7.40
      Ch 6 LEC 41 Tangents and Normals to the Curve
    • 7.41
      CH 6 LEC 42 Intersection of Two Conics
    • 7.42
      Ex 6.7 LEC 43 Q 1-2
    • 7.43
      Ex 6.7 LEC 44 Q 3-5
    • 7.44
      Ex 6.7 LEC 45 Q 6-8
    • 7.45
      CH 6 LEC 46 Translation and Rotation of Axes
    • 7.46
      Ex 6.8 LEC 47 Q 1-2
    • 7.47
      Ex 6.8 LEC 48 Q 3-4
    • 7.48
      CH 6 LEC 49 General Equation of Second Degree
    • 7.49
      Ex 6.9 LEC 50 Q 1
    • 7.50
      Ex 6.9 LEC 51 Q 2-3
  • 2.07 Vectors
    19
    • 8.0
      Ch 7 LEC 1 intro-1
    • 8.1
      Ch 7 LEC 2 Intro-2
    • 8.2
      Ex 7.1 LEC 3 Q 1-4
    • 8.3
      Ex 7.1 LEC 4 Q 5-7
    • 8.4
      Ex 7.1 LEC 5 Q 8-14
    • 8.5
      Ex 7.2 LEC 6 Q 1-6
    • 8.6
      Ex 7.2 LEC 7 Q 7-9
    • 8.7
      Ex 7.2 LEC 8 Q 10
    • 8.8
      Ex 7.2 LEC 9 Q 11-12
    • 8.9
      Ex 7.3 LEC 10 Q 1-2
    • 8.10
      Ex 7.3 LEC 11 Q 3-4
    • 8.11
      Ex 7.3 LEC 12 Q 5-6
    • 8.12
      Ex 7.3 LEC 13 Q 7-8
    • 8.13
      Ex 7.3 LEC 14 Q 11
    • 8.14
      Ex 7.3 LEC 15 Q 12
    • 8.15
      Ex 7.4 LEC 16 Q 1
    • 8.16
      Ex 7.4 LEC 17 Q 2-3
    • 8.17
      Ex 7.4 LEC 18 Q 4-7
    • 8.18
      Ex 7.4 LEC 19 Q 8-9
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Ex 2.8 LEC 24 Q 1
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