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Advanced Engineering Mathematics: Multiple Integrals and Applications

This course covers the introduction to double and triple integrals, their applications, and parameterized curves. Topics include infinite series, power series, max-min problems, Lagrange multipliers, centroids, inertia, spherical coordinates, and surface integrals.

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Advanced Engineering Mathematics: Multiple Integrals and Applications

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  1. Erik Jonsson School of Engineering and Computer Science ENGR 3300 – 505 Advanced Engineering Mathematics http://www.utdallas.edu/~pervin Monday: Examination I Wednesday: No Class! Monday: Start Chapter 6 Wednesday 9-19-12 FEARLESS Engineering www.utdallas.edu/~pervin

  2. 4-10.3

  3. 4-12.13

  4. 5. Multiple Integrals • Section 1: Introduction • Section 2: Double and Triple Integrals • Section 3: Applications This should all be review of Calculus II

  5. 5-2.32

  6. 5-2.39 & 5-2.47

  7. p.248 #35: A triangular lamina is bounded by the coordinate axes and the line x + y = 6. Find the mass if the density at each point P is proportional to the square of the distance from the origin to P.

  8. Problems from Section 5-3

  9. Parameterized Curves

  10. S11.6P818#45: S11.6P818#49: S11.6P818#50:

  11. Examination I – 9/24/2012 Chapter 1: Infinite Series [1] Convergence [2] Power Series Chapter 4: Max-Min Problems [3] Lagrange Multipliers Chapter 5: Multiple Integrals [4] Arc length; centroids, inertia [5] Spherical coordinates [6] Surface Integrals

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