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Week
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Topics
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Study Metarials
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1
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Basic concepts and classification of differential equations
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R1-Chapter 1
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2
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Solution of first order equations: Linear equations
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R1-Chapter 2
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3
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Solution of first order equations: nonlinear equations (can be divided into variables, exact, homogeneous and special type equations)
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R1-Chapter 3
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4
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Computer methods and engineering applications for first order equations
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R1-Chapter 3
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5
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Second order equations: Linear independence, homogeneous equations with constant coefficients
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R1-Chapter 4
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6
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Second order nonhomogeneous equations: Indefinite coefficients and methods of changing parameters
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R1-Chapter 5
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7
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Second order Euler equations and computer applications for second order equations
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R1-Chapter 5
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8
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Engineering applications of second order equations
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R2-Chapter 5
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9
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Higher order differential equations
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R2-Chapter 6
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10
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Variable coefficient equations: Force series method
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R2-Chapter 7
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11
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Linear equation systems: Scalar method
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R2-Chapter 8
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12
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Linear equation systems: Matrix method
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R2-Chapter 8
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13
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Laplace transformation method
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R2-Chapter 9
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14
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Introduction to numerical solution of differential equations
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R2-Chapter 10
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