APPLIED RESEARCH AND LINEAR ALGEBRA (4 SCU)

Learning Outcomes:

Upon successful completion of this course, students are expected to be able to: explain and apply basic concepts and common techniques of statistics, probability, random variables, and different probability distributions; explain and apply basic concepts of sampling and estimation techniques; explain and apply basic techniques in hypothesis testing of one-, two-, or more samples; explain and apply basic techniques and analyses in linear regression; identify and analyze research problems in their field of study; apply critical thinking and demonstrate an understanding of theoretical and practical aspects of doing research individually and/or in groups; demonstrate knowledge of suitable approaches and methods in designing research projects; design and communicate research ideas and designs effectively in verbal and written format individually and/or in groups; describe and apply basic concepts of matrices and their operations; explain and apply appropriate techniques in solving systems of linear equations; explain the basic geometric and algebraic properties of vectors in two- and three-dimensional Euclidean space; and apply the fundamental concepts and techniques in linear algebra to solve basic business and economics models.

Topics:

This course provides an introduction to probability and statistics primarily for science and engineering students. Topics covered are as follows, but they are not limited to: summarizing data both numerically and graphically, basic laws of probability, confidence intervals and hypothesis testing, regression and ANOVA. All students are required to write a thesis in their final year, and they need to be prepared for it. To help them with that, this course is also designed to introduce and familiarize students with basic steps and methods in conducting research projects on small scale. Topics covered in this course equip the students to conduct the following: problem identification, literature review, selection of research designs, data collection and data analysis, and thesis writing. At the end of semester, students are required to submit and present group-work on a research proposal by the end of the course. This course is also designed for students taking the Information System program that introduces elementary Linear Algebra and its application in economic and business problems. Topics covered in this course include solving systems of linear equations, matrices, determinants, vectors, linear transformations, eigenvalues, and eigenvectors.

Pre-requisite(s): None