Advanced Engineering Mathematics Course
Master Differential Equations & Matrices with Dr. Noureldin: From Fundamentals to Advanced Problem Solving!
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14 learners
What you'll learn
- Understand and solve separable and linear differential equations.
- Apply techniques for solving exact, Bernoulli, and Riccati differential equations.
- Utilize the Laplace transform for solving initial value problems.
- Perform matrix operations including finding determinants and inverses.
This course includes
- 17.5 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 23 lessons • 17.5 hours of video
Advanced Differential Equations and Matrix Theory with Dr. Noureldin
23 lessons
• 17.5 hours
Advanced Differential Equations and Matrix Theory with Dr. Noureldin
23 lessons
• 17.5 hours
- 1-Introduction to Mathematics-Dr. Noureldin 23:09
- 2- Separable differential equations- Dr. Noureldin 49:00
- 3-Linear differential equations-Dr. Noureldin 35:37
- 4-Exact differential equations-Dr. Noureldin 53:35
- 5-Bernoulli and Riccati differential equations-Dr. Noureldin 43:57
- 6-Linear second order differential equations-Dr. Noureldin 01:02:52
- 7-The constant coefficient case 44:53
- 8- The Non-homogeneous Equation-Variation of Parameters 47:03
- 9-The Non-homogeneous Equation-Undetermined Coefficients-Dr. Noureldin 45:11
- 10--spring motion- Dr. Noureldin 01:12:17
- 11. Euler’s Differential Equation 34:48
- 12-The Laplace transform 36:38
- 13. The solution of the Initial Value Problem using Laplace Transform 01:06:29
- 14. Convolution-Dr. Noureldin 33:08
- 15-Matrices-Introduction- Dr. Noureldin 53:13
- 16-Matrices- Elementary row operations- Dr. Noureldin 36:42
- 17- Matrices-Reduced Row Echelon Form- Dr. Noureldin 54:57
- 18-Matrices-Row & column spaces- Dr. Noureldin 29:59
- 19- Matrices-Linear homogeneous system-1- Dr. Noureldin 56:17
- 20-Matrices-Linear homogeneous system-2- Dr. Noureldin 32:55
- 21-Matrices-Non-homogeneous system- Dr. Noureldin 01:00:24
- 22-Matrices- Matrix inverse - Dr. Noureldin 38:58
- 23-Matrices- Matrix determinant - Dr. Noureldin 44:51
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