Chapter 1 Algebra 13课时5时29分40秒

   免费 1.1.1 Modulus functions and equations (40:37)

   1.1.2 Modulus graphs and inequalities (29:14)

   1.1.3 Modulus inequalities (29:58)

   1.2.1 Polynomial and Long Division (24:51)

   1.2.2 The factor theorem (48:38)

   1.2.3 The remainder theorem (15:42)

   1.3.1 case 1 (18:47)

   1.3.2 case 2 (20:24)

   1.3.3 case 3 (13:47)

   1.3.4 case 4 (19:38)

   1.4.1 The general binomial expansions (33:51)

   1.4.2 The general binomial expansions (20:54)

   1.4.3 The general binomial expansions (13:19)

Chapter 2 Logarithmic and exponential functions 8课时3时12分47秒

   2.1.1 Logarithms to base 10 (16:45)

   2.1.2-Logarithms to base a (24:50)

   2.1.3-Logarithms to base e Natural logarithms (20:03)

   2.2-The laws of logarithms (29:23)

   2.3.1-Solving equations and inequalities (18:39)

   2.3.2-Solving equations and inequalities (17:59)

   2.3.3 Exponential inequalities (23:25)

   2.4 Transforming a relationship to linear form (41:43)

Chapter 3 Trigonometry 9课时3时40分49秒

   3.1.1_The cosecant, secant and cotangent ratios- (12:07)

   3.1.2 Solving equations (22:01)

   3.1.3 Proving Identities (10:27)

   3.1.4 Graphs (33:55)

   3.2.1 Compound angle formula (proof) (24:33)

   3.2.2 Compound angle formula(application) (26:22)

   3.3.1 Double angel formulae (39:14)

   3.3.2 Double angel formulae (14:49)

   3.4 Expressing asinθ+bcosθ in the form R sin(θ±a) or Rcos(θ±a) (37:21)

Chapter 4 Differentiation 8课时3时4分47秒

   4.1 The product rule (30:21)

   4.1.2 The Quotient rule (25:05)

   4.2.1 Derivatives of 6 functions 1&2 (38:56)

   4.2.2 Derivatives of 6 functions 345 (08:58)

   4.2.3 Derivatives of 6 functions 345 (17:17)

   4.2.4 Derivatives of 6 functions 6 (13:51)

   4.3 Implicit differentiation (26:58)

   4.4 Parametric differentiation (23:21)

Chapter 5 Integration 9课时4时13分18秒

   5.1 Integration of 6 functions part 1 (37:23)

   5.1 Integration of 6 functions part 2 (12:49)

   5.1 Integration of 6 functions part 3 (14:31)

   5.2 Integration involving trigonometrical identities (46:09)

   5.2 Integration of kf’(x)/f(x) (18:35)

   5.2 Integration by substitution (32:20)

   5.2 Integration by partial fractions (27:31)

   5.2 Integration by parts (43:12)

   5.2 The use of 5 methods (20:48)

Chapter 6 Numerical solutions of equations 3课时1时37分1秒

   6.1 Change-of sign methods (25:12)

   6.2 Iterative formula (41:57)

   6.3 Using iterative processes to solve problems involving other areas of mathematics (29:52)

Ch7 Vector 7课时3时39分38秒

   7.1 Displacement or translation vectors-part 1 (42:50)

   7.1 Displacement or translation vectors-Part 2 (16:31)

   7.2 Position vectors (30:35)

   7.3 The scalar product (39:48)

   7.4 The vector equation of a line-Part 1 (27:13)

   7.4 The vector equation of a line-Part 2 (34:04)

   7.5 Intersection of two lines (28:37)

Chapter 8 Differential equations 2课时1时21分30秒

   8.1 Solve differential equations (41:03)

   8.2 Formulate differential equations (40:27)

Chapter 9 Complex Number 12课时4时37分34秒

   9.1.1 Imaginary number (22:42)

   9.1.2&3 Complex number& Equal complex number (16:59)

   9.1.4 Complex conjugate (10:32)

   9.2.1 Operations (square roots of a complex number) (26:36)

   9.2.2 The cube roots of one (unity) (20:20)

   9.3.1 Complex plane-Argand diagrams (07:33)

   9.3.2 Modulus-argument form (45:30)

   9.3.3 Exponential form-Part 1 (37:09)

   9.3.4 Exponential form-Part 2 (17:25)

   9.4 Solving equations (14:50)

   9.5 Loci-Part 1 (25:40)

   9.5 Loci-Part 2 (32:18)

Chapter 1 Algebra

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Chapter 2 Logarithmic and exponential functions

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Chapter 3 Trigonometry

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Chapter 4 Differentiation

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Chapter 5 Integration

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Chapter 6 Numerical solutions of equations

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Ch7 Vector

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Chapter 8 Differential equations

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Chapter 9 Complex Number

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