MATH 2310 - Applied Differential Equations I
This course covers the formation of differential equations, methods of solution, the existence and nature of solutions, transformations and numerical approximations.
Credits: 3
Prerequisites:
MATH 2205 Calculus II with a grade of “C” or better
Minimum Student Competencies
Upon completion of MATH 2310 Applied Differential Equations I, the student will:
- Classify differential equations based on order and linearity.
- Determine the stability of equilibrium solutions.
- Model physical systems using differential equations.
- Solve linear differential equations using the appropriate analytic method.
- Solve differential equations using numerical methods.
- Evaluate the particular solutions of differential equations using initial conditions.
- Apply integral transforms to solve differential equations.
- Analyze differential equations using computer software when applicable.
Program Outcomes
Mathematics AS
PO#1 Select the most effective mathematical strategy for real-world and theoretical problems.
PO#2 Apply mathematical techniques.
PO#3 Analyze data using appropriate mathematical methods.
PO#4 Incorporate technology into mathematical applications.
PO#5 Evaluate mathematical situations to make logical inferences and conclusions.
PO#6 Express mathematical ideas precisely both verbally and in writing.
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