11.3 Solids Of Revolution Washerap Calculus

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MATH – 20B.Calculus

11.3 Solids Of Revolution Washerap Calculus Solver

Solver

Summer, July, 2015

MWF,2:00pm-3:50pm, APM B402a.

11.3 Solids Of Revolution Washerap Calculus

Reset Show examples. This calculator is a work in progress and things may not work as expected! In addition, please note that some solids may take longer to graph than others. I introduce the process of finding the volume of a solid, also called volume of revolution, using the Disk Method and Washer Method. There are a few minor c.

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Instructor:Professor VladimirRotar; office: APM-7450,e-mail: [email protected]

Officehours:MWF, 4:15-5:15. If itis needed, office hours may be extended.Some short questions may be answered right after the lectures.

Text:Rogawski, Calculus: EarlyTranscendentals, 2ndedition, and

11.3 Solids Of Revolution Washerap Calculus 2nd Edition

The supplement to Rogawski’s book. (downloadhere).

Examinations: Therewill be several quizzes, and a final exam. Homework will be assigned eachlecture and posted in the HW site.

11.3 Solids Of Revolution Washerap Calculus Calculator

11.3

SYLLABUS

The listbelow is rather one of topics than of lectures: the real experience may dictatea slower or faster pace. A slight change of the order of exposition is alsopossible.

  1. Sec. 5.2-5.4: Review of the Fundamental Theorem of Calculus.Sec. 5.5: Total change as the integral of a rate.
  2. Sec. 5.6: The substitution algorithm for integrals.Sec. 6.1: Areas between curves.
  3. Sec. 6.2-6.3: Volumes; average value of a function; the mean value theorem. The basic method is slicing a solid into pieces of known cross-sectional area; solids of revolution are a special case.
  4. Sec. 11.3-11.4: Polar coordinates; areas in polar coordinates.Supp. 1–2: Complex numbers and complex exponentials: De Moivre’s theorem, complex roots, and Euler’s formula.
  5. Sec. 7.1: Integration by parts.Sec. 7.2, 7.4, Supp 3. Trigonometric integrals, Sec. 7.3: Trigonometric substitution (may be omitted).
  6. Supp. 4-5, Sec. 7.5: The fundamental theorem of algebra; partial fractions and integration of rational functions using partial fractions.
  7. MIDTERM (can be replaced by quizzes).
  8. Sec. 7.6: Improper integrals. Sec. 7.8. Numerical integration.
  9. Sec. 10.1: Sequences: limits, convergence, and divergence.
  10. Sec. 10.2: Series. Sec. 10.3: Series with positive terms: the integral and comparison tests.
  11. Sec. 10.4-10.5: Absolute convergence; the ratio and root tests. Sec. 10.6: Power series.
  12. Sec.10.7: Taylor series.
  13. Sec. 9.1-9.2: Solving differential equations; exponential models.