mat291courseoutline_52fb173b13c0900af1adf314f6a472a0.docx -...

COURSE OUTLINE
MAT 291 - ENGINEERING MATHEMATICS I
WEEK 1 (16- 24 September 2021) MATRIX ALGEBRA: Determinants, Properties
of determinants, Cramer’s rule, Solving Linear
Systems using Cramer’s Rule.
WEEK 2 (27- 01 Oct 2021) Matrix operation, Special matrices, Consistency of systems of
linear equations and uniqueness of solution.
WEEK 3 (04- 08 Oct 2021) Inverse of matrix, Solving linear system by matrix inversion
method, Gaussian Elimination method, Eigen values and
Eigen vectors.
WEEK 4 (11- 15 Oct 2021 APPLICATION OF DERIVATIVES: Tangent and Normal
of a curve, Radius and center of curvature, derivative of
inverse of trigonometric and hyperbolic functions. Maximum,
minimum and point of Inflexion.
WEEK 5 (18- 22 Oct 2021) PARTIAL DERIVATIVES: Differentiation of
function of two or more variables. Applications:
Small increments, Error measurements, Rate of
change, Derivative of Implicit functions, Change of
variables.
WEEK 6 (25- 29 Oct 2021) SEQUENCE AND SERIES: AP and GP sequence and series,
Series of powers of natural numbers, Infinite series,