Mathematics for Engineers and Scientists 4 (172)

Laplace Transform: Laplace Transforms, Inverse Laplace Transforms, Solving Differential Equations (DEs) and Systems of DEs with Laplace Transforms. Analytic Geometry: Vector Algebra, Scalar and Vector Products, Lines and Planes, Derivatives of Scalar and Vector Functions, Directional Derivatives, Linear Approximation of Curves, Tangent Planes, Grad, Div, Curl. Linear Algebra: Systems of Linear Equations, Gaussian Elimination, Vectors and Matrices, Matrix Algebra, Inverse Matrices, Determinants, Eigenvectors and Eigenvalues, Applications to Differential Equations, Diagonalization of Matrices.