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FSc Math - Part 1
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Chapter 1 Number System
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- 1.1, 1.2, 1.3 - Introduction to Number System, Rational and Irrational Numbers, Properties of Real Number (47:55)
- Exercise 1.1 (Q1-Q5) (13:09)
- 1.4 - Complex Numbers and Operations on Complex Numbers (8:44)
- Exercise 1.2 (Q1-Q6) (22:12)
- 1.6 - Geometric Representation of Complex Numbers - The Complex Plane (28:39)
- Exercise 1.3 (Q1-Q7) (15:28)
Chapter 2 Sets, Functions and Groups
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Chapter 3 Matrices and Determinants
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- 3.1, 3.2 - Introduction to Matrices, Determinant of 2x2 Matrix (23:26)
- Exercise 3.1 (Q1-Q3, Q8, Q10, Q12) (15:23)
- 3.6, 3.7, 3.8 - Determinants, its Properties, Adjoints and Inverse of Square Matrix (16:32)
- Exercise 3.3 (Q1, Q3-Q6, Q9-Q11) (29:57)
- 3.9, 3.10 - Elementary Row and Column Operation on Matrix - 3.11, 3.12 - System of Linear Equations (28:44)
- Exercise 3.5 (Q1, Q4-Q5) (27:13)
Chapter 4 Quadratic Equation
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- 4.1 - Introduction to Quadratic Equations (17:11)
- Exercise 4.1 (Q19-Q20) - Exercise 4.2 (Q1, Q6, Q12, Q18) - Exercise 4.3 (Q1, Q6-7, Q12) (70:37)
- 4.3, 4.4 - Three Cube Roots and Four Fourth Roots of Unity (14:20)
- Ex 4.4 (Q1-Q3, Q5-Q8) - 4.7 Synthetic Division - Ex 4.5 (Q12, Q15) (42:49)
- 4.8, 4.9 - Relations between the Roots and Coefficients of a Quadratic Equation, Formation of Equation whose Roots are Given (8:13)
- Exercise 4.6 (Q1-Q4, Q6) (19:51)
- 4.10 - Nature of the Roots of a Quadratic Equation (3:24)
- 4.11 - Systems of Two Equations Involving Two Variables - Ex 4.7 (Q1-3, Q5, Q8) - Ex 4.9 (Q1, Q5) - Ex 4.10 (Q1, Q5, Q11) (62:13)
Chapter 5 Partial Fractions
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Chapter 6 Sequence and Series
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- 6.1 - Introduction to Sequence and Series (4:40)
- Exercise 6.1 (Q1-Q3) (14:40)
- 6.3 - Arithmetic Progression (4:54)
- Exercise 6.2 (Q1, Q3, Q5, Q6, Q8, Q10-Q14) (36:12)
- 6.4 - Arithmetic Mean (2:52)
- Exercise 6.3 (Q1, Q3, Q7-Q8) (21:36)
- 6.5 - Series (7:17)
- Exercise 6.4 (Q1, Q2, Q4, Q7, Q9) - Exercise 6.5 (Q1, Q3, Q5, Q6, Q10) (49:28)
- 6.7 - Geometric Progression (3:35)
- Exercise 6.6 (Q1, Q2, Q5, Q6, Q8, Q10-Q12, Q14) (36:13)
- 6.8 - Geometric Mean (1:28)
- Exercise 6.7 (Q1, Q3, Q5, Q6, Q8) (19:30)
- 6.9 - Sum of n Terms of a Geometric Series (7:22)
- Exercise 6.8 (Q1, Q3, Q6, Q7, Q9, Q10, Q12, Q14) - Exercise 6.9 (Q1-Q4, Q6) (64:41)
Chapter 7 Permutation, Combination and Probability
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- 7.1 - Introduction to Permutation Combination and Probability (4:01)
- Exercise 7.1 (Q1-Q2) (2:54)
- 7.2 - Permutation (6:37)
- Exercise 7.2 (Q1, Q3, Q5, Q6, Q8, Q10, Q12, Q14) (28:31)
- 7.2.1 - Permutation of Things Not All Different (2:57)
- Exercise 7.3 (Q1, Q3-Q6, Q8-Q10, Q12) (30:00)
- 7.3.1 - Complementary Combination (2:51)
- Exercise 7.4 (Q1-Q3, Q5-Q10) (24:38)
- 7.4 - Probability (7:12)
- Exercise 7.5 (Q1-Q4, Q6-Q8, Q10) (21:25)
- 7.4.3 - Addition of Probability (5:39)
- Exercise 7.7 (Q1-Q4, Q6, Q8) (32:40)
- 7.4.4 - Multiplication of Probability (1:49)
- Exercise 7.8 (Q1, Q3, Q5, Q7) (7:34)
Chapter 8 Mathematical Induction and Binomial Theorem
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- 8.1-8.2 - Mathematical Induction - Binomial Theorem - Principle of Mathematical Induction (7:11)
- Exercise 8.1 (Q1, Q4, Q7, Q9, Q10, Q12, Q14-Q16, Q20, Q21, Q27, Q29, Q35, Q38) (69:46)
- 8.3 - Binomial Theorem (47:17)
- Exercise 8.2 (Q1-Q3, Q6, Q8, Q10, Q12, Q14) - Exercise 8.3 (Q1-Q6, Q8, Q9, Q12) (120:26)
Chapter 9 Fundmentals of Trigonometry
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- 9.1, 9.2, 9.3 - Introduction to Trigonometry, Units of Measures of Angles, Relation between the Length of an Arc of a Circle and the Circular Measures of its Central Angle (24:55)
- Exercise 9.1 (Q7, Q9-Q17) (33:08)
- 9.6, 9.8, 9.9 - Trigonometric Functions, Fundamental Identities, Signs of Trigonometric Functions (26:56)
- Exercise 9.2 (Q1-Q6) (33:02)
- 9.10, 9.11 - The Values of Trigonometric Functions at Different Angles (14:12)
- Exercise 9.3 (Q1-Q6, Q13-Q19) (28:51)
Chapter 10 Trigonometric Identities
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- 10.1, 10.2, 10.3 - Introduction to Trigonometric Identities - Deduction from Fundamental Laws - Trigonometric Ratios of All (46:37)
- Exercise 10.1 (Q1-Q3, Q5) - Exercise 10.2 (Q1-Q8, Q10-Q14) (81:22)
- 10.5, 10.6, 10.7 - Double Half and Triple Angle Identities (17:47)
- Exercise 10.3 (Q1, Q3, Q5, Q6, Q8, Q10, Q11, Q14) (20:03)
- 10.3 - Sum Difference and Product of Sines and Cosines (13:49)
- Exercise 10.3 (Q1-Q5) (16:22)
Chapter 11 Trigonometric Functions and Their Graphs
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Chapter 12 Application of Trigonometry
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- 12.1,12.3 - Application of Trigonometry, Solution of Right-Angled Triangles (6:36)
- Exercise 12.1 (Q1) (5:35)
- 12.4a and b - Heights and Distances (3:14)
- Exercise 12.3 (Q1, Q3, Q5, Q7, Q10, Q11, Q13, Q15) (27:30)
- 12.6.1-12.6.4 - The Law of Cosines, Sines, and Tangents, Half Angle Formulas (40:27)
- Exercise 12.4 (Q1) - Exercise 12.5 (Q1, Q6) - Exercise 12.6 (Q1, Q6, Q8) (39:16)
- 12.8 - Area of Triangle (22:00)
- Exercise 12.7 (Q1-Q3) (5:55)
- 12.9 - Circles Connected with Triangles (19:41)
- Exercise 12.8 (Q1, Q3, Q7, Q10-Q12) (37:33)
Chapter 13 Inverse Trigonometric Functions
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Chapter 14 Solutions of Trigonometric Equation
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