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Erik Jonsson School of Engineering and Computer Science FEARLESS Engineering www.utdallas.edu/ ~pervin ENGR 3300 – 505 Advanced Engineering Mathematics http:// www.utdallas.edu/ ~pervin Monday: Read Chapter 5 (4-6) Wednesda y 9- 12-12

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Page 1: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

Erik Jonsson School of Engineering and Computer Science

FEARLESS Engineering www.utdallas.edu/~pervin

ENGR 3300 – 505

Advanced Engineering Mathematics

http://www.utdallas.edu/~pervin

Monday: Read Chapter 5 (4-6)

Wednesday 9-12-12

Page 2: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 3: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 4: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

4-10.2 continued

Page 5: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

4-10.3

Page 6: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 7: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

4-12.13

Page 8: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

4-12.2

Page 9: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

A Different Application

Page 10: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 11: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 12: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

5. Multiple Integrals

• Section 1: Introduction• Section 2: Double and Triple Integrals• Section 3: Applications

This should all be review of Calculus II

Page 13: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

5-2.32

Page 14: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

5-2.39 & 5-2.47

Page 15: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 16: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

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.

Page 17: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

Problems from Section 5-3

Page 18: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 19: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 20: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 21: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin

Parameterized Curves

Page 22: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 23: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin
Page 24: Erik Jonsson School of Engineering and Computer Science FEARLESS Engineeringpervin ENGR 3300 – 505 Advanced Engineering Mathematics pervin