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Week
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Topics
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Study Metarials
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1
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Translation of points and axes in the plane
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R1-Chapter 5.1, 5.2
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2
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Function of rotation in plane and rotation of axes
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R1-Chapter 5.3, 5.4
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3
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Complex numbers and properties of complex numbers
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R2-Chapter 2.1
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4
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Relationship of complex numbers with rotation in the plane
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R2-Chapter 2.1
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5
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Discovery of quaternions and usage areas of them
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R2-Chapter 8.4
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6
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Quaternions and basic operations on them
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R2-Chapter 8.1
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7
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The inner product and norm in quaternions
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R2-Chapter 8.1
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8
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Complex expression of quaternions, Polar representation of quaternions
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R2-Chapter 8.1
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9
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De Moivre and Euler formula for quaternions
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R2-Chapter 8.1
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10
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Real matrix representation of quaternions
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R2-Chapter 8.2
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11
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Complex matrix representation of quaternions
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R2-Chapter 8.2
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12
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De Moivre and Euler formula for the matrix corresponding to the quaternions
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R2-Chapter 8.2
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13
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The relationship of quaternions with rotation in 3-dimensional space
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R3-Chapter 4
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14
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Rotation matrix corresponding to the unit quaternion
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R3-Chapter 4
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