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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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Concavity and inflection points, second derivative test, asymptotes, curve sketching, Introduction to antiderivatives,
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R1- Section 2.10
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2
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indefinite integral and basic integral formulas, Rules for changing variables in
integrals
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R1- Section 6.1
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3
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Integration by writing in simple
fractions and integration by parts
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R1- Section 6.2
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4
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Recursion formulas for
integration and ceratin
examples
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R1- Section 6.3
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5
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Riemannian sums and Riemann
(definite) integral
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R1- Section 5.2, Section 5.3
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6
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Definite integral, its properties,
Mean-value theorem and
certain examples
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R1- Section 5.4
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7
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Fundamental theorem of
differential and integral
computation
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R1- Section 5.5
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8
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Calculation of area, arc length as application of the definite integral
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R1- Section 5.7
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9
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Evaluation of volume and surface of revolution.
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R1- Section 7.1
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10
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Improper integrals and their
types
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R1- Section 6.5
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11
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Tests for convergence relating
to improper integrals
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R1- Section 6.5
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12
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Sequences, subsequences, convergent sequences, limit superior, limit inferior, Cauchy sequences, introduction to real series
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R1- Section 9.1, Section 9.2
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13
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Convergence and divergence of
series
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R1- Section 9.3
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14
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Tests for convergence and
divergence of series
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R1- Section 9.4
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