615-160 Tools of Analysis

• Students enrolled in the BSc, BASc or a combined BSc course (except for the BSc/BIS) will receive science credit for the completion of this subject.

Knowledge of VCE Mathematical Methods 3/4 and 615-145 Concepts in Software Development I or 433-171 Introduction to Programming, or similar programming background.

Many software applications in everyday use have their foundation in mathematics. For example modern security techniques, as used in products supporting digital signatures and facilitating email privacy, rely on number theory and abstract notions of complexity; and widely used spreadsheet applications provide sophisticated facilities for modeling and mathematical optimisation.

The key objectives of the subject are to introduce you to some mathematical concepts that provide a base for such software applications, and to convey a sense of excitement about the value of mathematical tools for addressing difficult analytical problems.

The topics have been chosen for their connection to information systems. The major areas covered are cryptography, the study of mathematical techniques to ensure secure communication, and linear algebra and linear programming, including techniques for solving many types of decision problems that arise in business settings.

On completion of this subject students should have extended their ability to comprehend abstract ideas and should understand how these theoretical concepts can be applied in practical settings to enhance security and privacy; and have refined their analytical skills so as to be able to model and solve different types of elementary decision problems. In addition, students should have enhanced their ability to self-direct their learning and to take advantage of complementary forms of educational resources.

One 3-hour written examination (75%). Up to 15 pages of project work and tests totaling no more than two hours during the semester (25%).