Course Content (Syllabus)
Differential Equations of First Order (Linear First Order Differential Equations, Bernoulli Differential Equation, Riccati Differential Equation, Exact Differential Equations, Non-Exact Differential Equation), Linear Differential Equations of Second and Higher Order (Constant Coefficients, Wronskian Determinant, Homogeneous with Non-Constant Coefficients, Euler Differential Equation, Non-Homogeneous with Non-Constant Coefficients), Solution of Differential Equations with Power Series (Power Series Method, Frobenius Method), Linear Systems of Differential Equations (Solution of Homogeneous Linear Systems of Differential Equations, Fundamental Matrix and Matrix Exponential, Solution of Non-Homogeneous Linear Systems of Differential Equations), Stability Analysis of Differential Equation Systems (Stability of Linear Systems of Differential Equations, Stability of Non-Linear Systems of Differential Equations), Laplace Transform (Laplace Transform Tables, Rational Function, Solution of Differential Equations with Laplace Transform), Applications of Differential Equations in Civil Engineering (Strength of Materials, Structural Dynamics, Electricity Markets and Energy Models for Civil Engineers)
Keywords
Differential Equations, First Order, Bernoulli, Riccati, Exact, Non-Exact, Second Order, Higher Order, Wronskian, Euler, Power Series, Frobenius, Linear Systems, Fundamental Matrix, Matrix Exponential, Stability, Nonlinear Systems, Laplace Transform, Applications, Strength of Materials, Structural Dynamics, Energy Models.