MATH 2222 - Introduction to Differential Equations
3 Credits
Provides an introduction to ordinary differential equations. Topics include basic definitions, concepts and terminology of ordinary differential equations. Techniques of problem solving are emphasized. Specific topics covered include: solutions and applications of first-order differential equations, solutions of linear differential equations of higher order, applications of second-order linear differential equations, power series solutions, the Laplace transform, systems of linear differential equations, and an introduction to numerical and graphical methods of solution. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course.
Pre-Requisites MATH 1134
Major Content Areas
Solutions of first-order differential equations 15% Numerical and graphical methods of solution 15% Laplace transforms and their inverses 20% Solutions of higher order differential equations 15% Systems of linear differential equations 15% Applications of first and second-order differential equations 20%
Learning Outcomes
Solve boundary/initial value problems Recognize and work with first and second-orders linear and nonlinear DE. Apply series solutions of linear differential equations. Solve problems using the Laplace Transform. Recognize and work with higher-order differential Equations. Model real-life situations using first-order differential equations. Model real-life situations using higher-order differential equations. Express a dynamical system as a mathematical model. Find numerical solutions of ordinary Differential Equations including Euler’s Method. Solve systems of differential equations Use direction fields to illustrate solutions of differential equations. Apply Existence and Uniqueness Theorem
Minnesota Transfer Curriculum (MNTC) Goals
02 - Critical Thinking 04 - Mathematical/Logical Reasoning
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