Calculus and Algebra 2

• Use Gaussian elimination to solve systems of linear equations
• Perform basic computations with matrices
• Compute determinants
• Decide if a square matrix is invertible, and compute the inverse if it exists
• Find eigenvalues and eigenvectors for square matrices
• Solve simple systems of linear differential equations
• Apply the symbolic software tool Maple to solve and graphically display mathematical problems and solutions
• Use linear algebra to solve engineering problems, for example solve over-determined systems of equations and finding extremal points for functions of two variables

Gaussian elimination, matrix algebra, determinants, eigenvalues and eigenvectors, systems of linear differential equations, engineering applications of linear algebra

01901

Lectures and classroom work