The first part of this course gives an introductory treatment of linear algebra that is suitable for a first undergraduate course on the topic. Its aim is to present the fundamentals of linear algebra in the clearest possible way sound pedagogy is the main consideration. The course will focus on Systems of linear equations and matrices, Determinants, Vectors in 2-space and 3-space, Euclidean vector spaces, General vector spaces, Eigenvalues and eigenvectors, and Linear transformations. An introduction to probability theory and statistics, with an emphasis on solving problems in engineering. The second part of the course will focus on Probability and statistics. Topics in probability include discrete and continuous random variables, probability distributions, sums and functions of random variables, the law of large numbers, and the central limit theorem. Topics in statistics include sample mean and variance. Exercises and problems presented in the classes are tailored to help students to understand the key topics and their application to practical engineering problems.

CILO-1: Apply knowledge of mathematics, science, and engineering appropriate to the degree discipline. [POs: a] CILO-2: Identify, formulate and solve engineering problems. [POs: e] CILO-3: Use the techniques, skills, and modern engineering tools necessary for engineering practice appropriate to the degree discipline. [POs: k]