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FSc Math - Part 2
The videos with 'Preview' are FREE to watch!
Chapter 1 Functions and Limits
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Chapter 2 Differentiation
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- 1) 2.1, 2.2 - Introduction to Differentiation, Finding f (x) From Definition of Derivative (37:10)
- 2) Exercise 2.6 (Q3) (5:02)
- 3) 2.3 - Theorems of Differentiation (3:26)
- 5) 2.8, 2.9 - Derivatives of Trigonometric and Inverse Trigonometric Functions (27:11)
- 7) 2.10, 2.11, 2.13 - Derivative of Exponential, Logarithmic, Hyperbolic and Inverse Hyperbolic Functions (56:58)
- 9) 2.15 - Successive Differentiation (Higher Derivatives) (3:22)
- 11) 2.16, 2.17 - Series Expansions of Functions, Taylor Series Expansions of Functions (13:24)
- 13) 2.19, 2.20, 2.21 - Increasing and Decreasing Functions, Relative Extrema, Critical Values and Points (18:07)
Chapter 3 Integration
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- 1) 3.1 - Introduction to Integration (6:00)
- 2) Exercise 3.1 (Q1-Q4) (22:48)
- 3) 3.2 - Integration as Anti-Derivative (Inverse of Derivative) (5:07)
- 4) Exercise 3.2 [Q1 (Part ii-iv, vi, vii, viii, x) - Q2 (Part ii, v, vii-xiv)] (40:34)
- 5) 3.3 - Integrations by Method of Substitution (7:12)
- 6) Exercise 3.3 (Q1-Q4, Q6-Q22) (61:32)
- 7) 3.5 - Integration by Parts (20:40)
- 8) Exercise 3.4 [Q1 (i-iii, vii-x, xiii, xv, xvii, xix-xxi) - Q2 (i, ii, v, vii) - Q3 - Q4 (i-v) - Q5 (i-xi)] (138:42)
- 9) 3.6, 3.7 - Integration Involving Partial Fractions, The Definite Integrals (20:04)
- 10) Exercise 3.6 (Q1, Q2, Q4, Q6, Q7, Q10, Q11, Q13, Q15, Q17-Q19, Q21, Q22, Q24-Q26, Q29) (23:10)
- 11) 3.8 - Application of Definite Integrals (2:51)
- 12) Exercise 3.7 (Q4, Q5, Q7, Q8, Q11-Q13) (8:00)
- 13) 3.9 - Differential Equations (1:49)
- 14) Exercise 3.8 (Q1-Q3, Q6-Q8, Q12, Q13, Q18, Q19, Q21) (19:10)
Chapter 4 Introduction to Analytic Geometry
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- 1) 4.1 - Introduction to Analytical Geometry (20:07)
- 2) Exercise 4.1 (Q1, Q2, Q4-Q18) (91:34)
- 3) 4.2 - Translation and Rotation of Axes (13:15)
- 4) Exercise 4.2 (Q1-Q4) (19:07)
- 5) 4.3, 4.4.6 - Equations of Straight Lines, Area of a Triangular Region whose Vertices are Given (33:14)
- 6) Exercise 4.3 (Q1-Q5, Q7-Q14, Q21-Q26, Q28-Q31) (104:47)
- 7) 4.5 - Angle Between Two Lines (10:30)
- 8) Exercise 4.4 (Q1-Q14, Q16, Q17) (114:54)
- 9) 4.6 - Homogenous Equation of the Second Degree in Two Variables (20:32)
- 10) Exercise 4.5 (Q1, Q2) (6:13)
Chapter 5 Linear Inequalities and Linear Programming
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Chapter 6 Conic Section
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- 1) 6.1, 6.1.1, 6.1.2 - Introduction, Equation of a Circle, General Form of an Equation of a Circle (22:28)
- 2) Exercise 6.1 (Q1-Q7, Q9) (80:13)
- 3) 6.2 - Tangents and Normals (10:48)
- 4) Exercise 6.2 (Q1-Q9), Exercise 6.3 (Q1-Q4) (87:14)
- 5) 6.4, 6.4.1 - Conic Section, Parabola (16:05)
- 6) Exercise 6.4 [Q1(Part i, ii, v, ix, x), Q2(Part i, iv, vii-x), Q3(Part i, ii), Q7, Q8] (92:21)
- 8) Exercise 6.5 [Q1(Part i-iv, vi-x), Q2 (Part i, iii, iv)] - Exercise 6.6 [Q1 (Part i, iv)] (90:27)
Chapter 7 Vectors
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