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Week - 1 |
Sums and Sigma Notation.
Areas as Limits of Sums. |
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Week - 2 |
Properties of the Definite Integral.
The Fundamental Theorem of Calculus. |
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Week - 3 |
The Method of Substitution.
Areas of Plane Regions. |
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Week - 4 |
Integration by Parts. |
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Week - 5 |
Integrals of Rational Functions. |
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Week - 6 |
Integrals of rational functions |
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Week - 7 |
Improper Integrals.
Volumes of Solids of Revolution. |
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Week - 8 |
Other Volumes by Slicing.
Arc Length and Surface Area. |
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Week - 9 |
Mass, Moments and Centre of Mass.
Centroids. |
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Week - 10 |
Sequences and Convergence
Infinite Series. |
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Week - 11 |
Convergence Tests for Positive Series.
Absolute and Conditional Convergence. |
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Week - 12 |
Convergence test for positive series |
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Week - 13 |
Power Series.
Taylor and Mclaurin Series. |
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Week - 14 |
Applications of Taylor and Macluirin Series.
The Binomial Theorem and Binomial Series. |
Eskisehir Technical University Info Package