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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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Matrices, matrix types, operations on matrices.
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K1 CHAPTER 5
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2
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Transposition of matrices and inverses.
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K1 CHAPTER 5
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3
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Definition of determinants, calculation of second order determinants.
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K1 CHAPTER 5
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4
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Sarruss and laplace rules in the calculation of third order determinants.
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K1 CHAPTER 5
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5
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Solution of linear systems of equations with matrices and determinants.
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K1 CHAPTER 5
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6
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Definition of limit and limit taking rules. Limits on right and left.
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K1 CHAPTER 6
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7
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Continuity of functions. Description with graphics.
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K1 CHAPTER 6
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8
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Definition of derivative. Differentiation rules. Derivatives of various functions.
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K1 CHAPTER 7
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9
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Geometric interpretation of the derivative. Derivative applications. Finding ranges where a function is decreasing or increasing, the slope and the equation of the tangent line.
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K1 CHAPTER 7
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10
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Velocity and acceleration calculations using derivative. Application of L`hospital rule to uncertainties.
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K1 CHAPTER 7
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11
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Defining the integral. Explanation of general rules for indefinite integral.
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K1 CHAPTER 9
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12
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Integration methods.
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K1 CHAPTER 9
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13
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Specific integral, definition and properties.
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K1 CHAPTER 9
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14
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Applications of integral. Calculation of the area of planar regions and volumes of rotating bodies by integral calculation.
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K1 CHAPTER 9
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