COURSE OBJECTIVES:
for each course objective, links to the Program Outcomes are identified
in brackets.

 Review and develop specific mathematics techniques as applied to mechanical engineering problems [1, 5, 9, 11]
 Develop mathematics in a physical and engineering context [5, 12]
 Show that engineering problems can be grouped into (a) steady state (b) eigenvalue, and (c) propagation problems [5, 9]
 Show how engineering problems can be described by differential equations and difference methods [1, 5, 9, 11, 12]
 Show how engineering problems can be described by energy methods and the calculus of variations [1, 5, 9, 11, 12]

COURSE OUTCOMES:
for each course outcome, links to the Course Objectives are identified
in brackets.

 Apply linear algebraic equations, matrices, Cramers Rule, inverse matrices, orthogonal transformations, determinant and trace functions, eigenvalue and general eigenvalue problems, CayleyHamilton theorem [1]
 Apply continuous compound interest, buckling, Mohrs circle for stress and strain and mass moments of inertia [2,3]
 Apply Newtons Law of cooling, compound interest, stress in thick disks [2, 3, 4]
 Apply Laplace transforms and ordinary differential equations [2, 3]
 Apply NewtonRaphson and binary chop techniques for roots of algebric and transcendental relations: buckling loads, natural frequencies of continuous systems [1, 2]
 Compute approximate derivatives and integrals using finite difference techniques [1]
 Apply finite difference technique to problems: steady state temperature distribution, heat flow in a rod, problems with SturmLiouville boundary conditions, natural frequencies [2, 3, 4]
 Use techniques of curve fitting: a) straightline b) hyperbolic c) exponential d) powers [1].
 Apply curve fitting: student grades, isothermal and adiabatic processes, overdamped systems, hyperfocal distance in optics [2]
 Solve minimum/maximum problems: geometric problems with and without constrains [1]
 Solve the simple problem of the calculus of variations [1]
 Apply essential and natural boundary conditions, isoperimetric problems, Lagrange multipliers, Euler equations, canonical formulation of Hamilton [1]
 Formulate continuous systems with lumped end conditions [2, 5]
 Write Lagrange equations of dynamics [5]
