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FSc Part 2 - Math
Chapter 1 Functions and Limits
1) 1.1, 1.2 - Introduction to Functions, Types of Functions (44:10)
3) 1.3.1, 1.3.2, 1.3.3 - Composition, Inverse of Functions, Algebraic Method to Find Inverse Function (6:45)
5) 1.4, 1.5 - Meaning of the Phrase "X Approaches 0, Infinity, A", Limit of Important Functions (50:28)
Chapter 2 Differentiation
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
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
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
1) 5.1, 5.2, 5.2.1 - Introduction, Linear Equalities, Graphing of a Linear Inequality in Two Variables (13:10)
2) Exercise 5.1 (Q1-Q5) (20:28)
3) Exercise 5.2 (Q1, Q2) (9:06)
4) 5.6 - Linear Programming (3:06)
6) Exercise 5.3 (Q1, Q4) (13:01)
Chapter 6 Conic Section
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
1) Introduction to Vectors 7.1 -7.5 (151:47)
2) Exercise 7.1 (Q1-Q3, Q5-Q7, Q9, Q11-Q13) (38:58)
4) Exercise 7.2 (Q2-Q4, Q6-Q8, Q10-Q12) (30:19)
6) Exercise 7.3 (Q1-Q4, Q7-Q12) (62:22)
8) Exercise 7.4 (Q1-Q8) (41:42)
10) Exercise 7.5 (Q1, Q3-Q7, Q9-Q11, Q13, Q14) (38:05)
13) 2.19, 2.20, 2.21 - Increasing and Decreasing Functions, Relative Extrema, Critical Values and Points
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