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Jan 19, 2022
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MATH 238 Differential Equations

5 credits
This course involves studies of first and second order differential equations. Topics covered include techniques for solving differential equations, series solutions, Laplace transforms, numerical approaches, and matrix methods to solve systems of linear differential equations. Real life modeling, applications, and data visualization using appropriate technology are emphasized.

Prerequisites: MATH& 152

Course Outcomes
Upon successful completion of this course, students will be able to:

• Describe differential equations using appropriate mathematical notation, symbols, and graphs
• Classify differential equations by order, linearity, and homogeneity
• Solve first and second order linear differential equations
• Solve linear equations with constant coefficients
• Use separation of variables, method of undermined coefficients, and variation of parameters to solve differential equations
• Use power series methods to solve differential equations
• Determine whether a system of functions is linearly independent using the Wronksian
• Use Laplace transforms and their inverses to solve differential equations
• Solve systems of linear differential equations using matrix techniques and eigenvalues
• Use numerical methods to solve differential equations
• Model real-life applications using differential equations
• Use technology for finding solutions and data visualization
• Use the mathematical critical thinking skills of problem solving, pattern recognition, substitution, following structural rules, and quantitative modeling to solve problems requiring reasoning, critical thinking, and computation

Global Outcomes
This course teaches to the global outcome of critical thinking.

Total Hours: 50 Theory (Lecture) Hours: 50