MATH 246 Differential Equations and Linear Algebra

4 semester hours

Systems of linear algebraic equations, Gaussian elimination, matrices, and matrix algebra. Algebra of complex numbers. Linear dynamical systems and equilibrium. Analytical solutions of linear differential equations, including Laplace transform and linear time-domain analysis. Eigenvalues, eigenvectors and the matrix exponential. Differential equations as mathematical models. Analysis of nonlinear differential equations, including analytical and numerical solutions and qualitative analysis. Students will use software (e.g. C++, MATLAB, or Python) to compute and graph solutions using analytical and numerical methods.

Prerequisites: MATH 132 and (MATH 181 or CMSI 1010 or ENGR 160).

University Core fulfilled: Flag: Quantitative Literacy.

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