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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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Partial integration method; simple fractional separation method
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R3-Chapter 6
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2
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Inverse variable changing method; improper integrals
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R1-Chapter 8
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3
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The volumes of the rotating bodies; arc length and surface area
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R1-Chapter 9
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4
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Series and convergence; infinite series; convergence tests for positive series
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R1-Chapter 10
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5
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Absolute and conditional convergence; force series; Taylor and Maclaurin series
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R1-Chapter 11
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6
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Multivariable functions; limit and continuity; partial derivation
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R1-Chapter 12
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7
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Higher order derivatives; chain rule; linear approach
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R1-Chapter 13
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8
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Gradient and directional derivative; closed functions and closed function theory
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R2-Chapter 10
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9
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Maximum and minimum, Lagrange multipliers method
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R2-Chapter 11
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10
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Double integrals; Iteration of double integrals in Cartesian coordinates
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R2-Chapter 12
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11
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Variable change in double integrals; Double integrals in polar coordinates
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R2-Chapter 13
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12
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Triple integrals; variable change in triple integrals; Triple integrals in cylindrical and spherical coordinates
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R2-Chapter 14
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13
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Vector and scalar fields; linear integrals; surface integrals
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R2-Chapter 15
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14
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Green, Divergence and Stoke theorems
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R2-Chapter 16
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