Parker Glynn-Adey

MAT B41 — Week 10

Posted in 2018 -- MAT B41, Lecture Notes by pgadey on 2018/07/17
640px-Cavalieri's_Principle_in_Coins
(Photo by Ian Alexander) Homework #5 (tex) is available. Drop deadline next Monday.

There has been a minor change to the syllabus: Homework 6 will now be assigned in Week 11 and due in Week 12.

Additional resources:

Geogebra Demonstrations:

Suggested Exercises:

  • 5.1 Introduction to Double and Triple Integrals: 1,2,3,8,9,13
  • 5.2 The Double Integral over a Rectangle: 1,2,3,4,5,6
  • 5.3 The Double Integral over a More General Regions: 1,2,3,7,13

Past Finals:

  • Final 2015: Find the volume of the solid B bound by the parabolic cylinder x = (y-4)^2 + 3 and the planes z=x+2y-4, z=x+4y-7, and x+2y=11.
  • Final 2015: Evaluate \int_D e^{x+y} dA where D is the region bounded by y=x-1 and y=12-x for 2 \leq y \leq 4.
  • Final 2016: Evaluate \int_D (1-2x) dA where D is triangle with vertices (0,0), (2,3), and (5,3).
  • Final 2016: Evaluate \int_0^1 \int_x^{\sqrt[3]{x}} e^{x/y} dy dx.

Notes:

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