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Session 2: Integration

Completion requirements

This figure has two parts: (a) and (b). Part (a) has a path which starts at the point z sub zero equals alpha and continues in an arbitrary manner from left to right to the final point z sub n equals beta. Along the path are four arrows in a left to right direction labelled capital gamma sub 1, capital gamma sub 2, capital gamma with an ellipsis underneath and finally capital gamma sub n. There are points marked on the path and labelled as follows. The point z sub 1 which is between the arrows capital gamma sub 1 and 2. The point z sub 2 which is between the arrows capital gamma sub 2 and capital gamma with an ellipsis underneath. The point z sub n minus 1 which is between the arrows capital gamma with an ellipsis underneath and capital gamma sub n. Part (b) shows an unlabelled set of Cartesian axes. There is a straight-line segment shown in the upper-right quadrant starting at the origin and this point is labelled z sub zero equals zero. The final point of the line segment is labelled z sub n equals 1 plus i. On the line segment are four arrows marked in a direction from the origin to the point 1 plus i labelled capital gamma sub 1, capital gamma sub 2, capital gamma with an ellipsis underneath and finally capital gamma sub n. There are points marked on the line segment and labelled as follows. The point z sub 1 which is between the arrows capital gamma sub 1 and 2. The point z sub 2 which is between the arrows capital gamma sub 2 and capital gamma with an ellipsis underneath. The point z sub n minus 1 which is between the arrows capital gamma with an ellipsis underneath and capital gamma sub n.