Mathematics

• Calculus, Vector, and Linear Algebra: Applications involving matrix algebra, determinants, eigenvalues
• first and second order linear ordinary differential equations, Laplace transforms
• Vector algebra
• vector functions and operations
• orthogonal curvilinear coordinates
• applications of partial derivatives, Lagrange multipliers, multiple integrals, line and surface integrals
• integral theorems (Gauss, Green, Stokes)
• Power series

Suggested Reading Materials

Advanced Engineering Mathematics, eighth edition
Erwin Kreyszig, Kreiszig. John Wiley, 1999.