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Recursions, cases, the most efficient program to solve a given problem involves a recursion. For example, one of the most efficient sorting algorithms, namely the quick sort algorithm, is also based on a recursive structure. In this chapter, we again start with simple examples to implement recursions, along wi

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Complexity of Programs and Algorithms,ed of programs and algorithms, as well as the amount of memory required by them. For both speed and memory usage, the efficiency of a program/algorithm naturally depends on its inputs. In order to compare the efficiency of programs and algorithms, we need to analyze them by estimating or measuring t

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Accuracy Issues, critical, such as when outputs are not numeric or they are simply integers. However, it becomes an important issue to assess the accuracy of results, when a program contains numerical computations involving real numbers leading to rounding errors. Such errors are introduced as numbers are rounded u

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Solutions of Linear Systems of Equations,ysics. Mathematical modeling of real-life scenarios often leads to linear systems of equations, whose solutions are required to understand the underlying phenomena. Solution techniques for linear systems, especially on computers, have been developed for decades under the name of linear algebra. It i

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File Processing,write and analyze programs to investigate and modify files. As opposed to many other problems in computer science, file processing is usually very dependent on the syntax of the programming language..Nevertheless, some common strategies need to be developed to investigate, process, and modify files.

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Suggested Mini Projects,ple one-dimensional traffics are modeled based on given rules. In addition to some convergence analysis, processing times are measured and compared with theoretical estimations. The second project is related to sorting via the quick-sort algorithm. By writing some interface programs, we sort words i

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Suggested Mini Projects,th theoretical estimations. The second project is related to sorting via the quick-sort algorithm. By writing some interface programs, we sort words in the alphabetical order. Finally, the third project focuses on linear systems of equations and their solutions with the Gaussian elimination.

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