Lebanese American University | Faculty of Arts & Sciences | Mathematics

MTH 304 - Differential equations

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Tutor: Team TOD

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Number of Lectures: 45
Approx. time to complete the course: 8 hrs.
Level: undergrad.
Students Enrolled: 7.
Access: 4 months.

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Content

Lectures

Quiz 1

Some Basic Mathematical Models; Direction Fields 26 min
Solutions of Some Differential Equations 9 min
Linear Equations; Method of Integrating Factors 21 min
Separable Equations 26 min
Repeated Roots; Reduction of Order 26 min
Modeling with First Order Equations part 1 23 min
Modeling with First Order Equations part 2 10 min
Modeling with First Order Equations part 3 15 min
Differences Between Linear and Nonlinear Equations 26 min
Autonomous Equations and Population Dynamics 19 min
Exact Equations and Integrating Factors part 1 20 min
Exact Equations and Integrating Factors part 2 26 min
Numerical Approximations: Euler’s Method 20 min
Quiz 1 Mock Exam-Solving Session Part 1 22 min
Quiz 1 Mock Exam-Solving Session Part 2 13 min

Quiz 2

Homogeneous Equations with Constant Coefficients 20 min
Solutions of Linear Homogeneous Equations; the Wronskian 25 min
Complex Roots of the Characteristic Equation 21 min
Nonhomogeneous Equations; Method of Undetermined Coefficients part 1 23 min
Nonhomogeneous Equations; Method of Undetermined Coefficients part 2 17 min
Variation of Parameters 23 min
Homogeneous Equations with Constant Coefficients 15 min
The Method of Undetermined Coefficients 24 min
Quiz 2 Mock Exam-Solving Session Part 1 15 min
Quiz 2 Mock Exam-Solving Session Part 2 13 min

Final

Review of Power Series 17 min
Series Solutions Near an Ordinary Point part 1 5 min
Series Solutions Near an Ordinary Point part 2 25 min
Series Solutions Near an Ordinary Point part 3 21 min
Definition of the Laplace Transform 18 min
Solution of Initial Value Problems part 1 25 min
Solution of Initial Value Problems part 2 12 min
Step Functions part 1 20 min
Step Functions part 2 17 min
Step Functions part 3 18 min
Differential Equations with Discontinuous Forcing Functions 17 min
Differential Equations with Discontinuous Forcing Functions 14 min
Introduction part 1 6 min
Introduction part2 9 min
Basic Theory of Systems of First Order Linear Equations 11 min
Homogeneous Linear Systems with Constant Coefficients 21 min
Complex Eigenvalues 13 min
Classification of the origin 7 min
Quiz 3 Mock Exam-Solving Session Part 1 17 min
Quiz 3 Mock Exam-Solving Session Part 2 6 min

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