This work demonstrates in practical terms the evolutionary concepts and computational applications of Parametric Curves. Specific cases were drawn from higher order parametric Bezier curves of degrees 2 and above. Bezier curves find real life applications in diverse areas of Engineering and Computer Science, such as computer graphics, robotics, animations, virtual reality, among others. Some of the evolutionary issues explored in this work are in the areas of parametric equations derivations, proof of related theorems, first and second order calculus related computations, among others. A Practical case is demonstrated using a graphical design, physical hand sketching, and programmatic implementation of two opposite-faced handless cups, all evolved using quadratic Bezier curves. The actual drawing was realized using web graphics canvas programming based on HTML 5 and JavaScript. This work will no doubt find relevance in computational researches in the areas of graphics, web programming, automated theorem proofs, robotic motions, among others.

The ability of a Database Management System (DBMS) to detect fraudulent activities at the earliest possible time cannot be overemphasized. The concept of critical data surveillance is the ability of system to automatically watch over some selected database objects, and take cognizance of ensuing events. This work achieves this solution through the implementation of database triggers, which keeps track of the major database events. The focus of this work is on surveillance and protection against updates to critical database tables. The work implements real life audit-based surveillance of automated product sales enterprises database tables. The trigger was created from the scratch, and programmed to monitor the critical database object -the product pricing table, which keeps record of the price tagged on each the products in the supermarket. Thus, this work ensures that the trigger is fired accordingly, and that changes to the contents are reported to an audit table for further review by only authorized persons. This research was implemented using PostgreSQL.

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