The purpose of this course is to introduce techniques in linear algebra and multivariable calculus which are useful in applications. Applications and computer-based learning will be included. Systems of linear equations. Matrices, determinants. Vectors in 2- and 3-dimensional Euclidean spaces. Vector spaces, linear independence, basis, dimension.
Linear transformations. Eigenvectors and eigenvalues. Calculus of functions of several variables, partial derivatives, constrained and unconstrained optimization, applications.
Programme: MATH(SPS)
The purpose of this course is to introduce techniques in linear algebra and multivariable calculus which are useful in applications. Applications and computer-based learning will be included. Systems of linear equations. Matrices, determinants. Vectors in 2- and 3-dimensional Euclidean spaces. Vector spaces, linear independence, basis, dimension. Linear transformations. Eigenvectors and eigenvalues. Calculus of functions of several variables, partial derivatives, constrained and unconstrained optimization, applications.