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  • 课时1:1.1 imaginary and complex numbers 26:17
  • 课时2:1.2 modulus-argument form of complex numbers 33:55
  • 课时3:1.3 Solving cubic and quartic equations 13:28
  • 课时4:2.1 Roots of a quadratic equation 11:36
  • 课时5:2.2 Forming quadratic equations with new roots 14:33
  • 课时6:3.1 Locating roots 05:14
  • 课时7:3.2 interval bisection 09:26
  • 课时8:3.3 Linear interpolation 10:11
  • 课时9:3.4 the Newton-Raphson method 19:51
  • 课时10:4.1 Parametric equations 03:45
  • 课时11:4.2 The general equation of a parabola 10:31
  • 课时12:4.3 The equation of the tangent and the equation of the normal 57:57
  • 课时13:5.1 Introduction to matrices 05:36
  • 课时14:5.2 Matrix multiplication 25:31
  • 课时15:5.3 Determinants 02:12
  • 课时16:5.4 Inverting a 2x2 matrix 13:39
  • 课时17:6.1 Linear transformations in two dimensions 09:57
  • 课时18:6.2 Reflections and rotations 38:35
  • 课时19:6.3 Enlargements and stretches 20:52
  • 课时20:6.4 Successive transformations 23:33
  • 课时21:6.5 The inverse of a linear transformation 08:45
  • 课时22:6.6 The area of the image by transformation 15:54
  • 课时23:7.1 Sums of natural numbers 08:01
  • 课时24:7.2 Sums of squares and cubes 24:23
  • 课时25:8.1 Proof by mathematical induction 15:59
  • 课时26:8.2 Proving divisibility results 15:55
  • 课时27:8.3 Proving for a general term of a recurrence relation 21:20
  • 课时28:8.4 Proving statements involving matrices 09:13

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