11.3 Solids Of Revolution Washerap Calculus

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2.2 why learn calculus. 11.3 formal definition of a limit being infinity. 33 volume of solids of revolution 221. 6 students passed the test with an average score of 11/3, so. X/6 = 11/3 and x = 22. The six passing scores added to 22. Aa 8 students had a mean of 13/4, so Y/8 = 13/4 so Y = 26. The 8 scores totalled 26, which means the 2 failing scores added to 4, which means both failing scores were 2 points.

11.3 Solids Of Revolution Washerap Calculus 14th Edition

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AP Calculus AB

Class Calendar


DateUnit Topic Resources
11/198Solids of RevolutionNotes - Solids of Revolution
Classwork - Solids of Revolution MC
Classwork - Solids of Revolution FRQ
Video - Disc Method X-Axis
Video - Disc Method Y-Axis
Video - Disc Method y = k
Video - Washer Method X-Axis
Video - Washer Method y = k (1 of 2)
Video - Washer Method y = k (2 of 2)
Video - Washer Method Vertical Line
11/188AreaNotes - Area
Classwork - Area MC
Classwork - Area FRQ
Video - Area Between Curves
11/177Unit 7 Test
11/147Review
11/137Review
11/127Unit 7 Quiz
11/117Integrating Rates of ChangeNotes - Integrating Rates of Change
Classwork - Integrating Rates of Change
11/107Integrating Absolute Value FunctionsNotes - Integrating Absolute Value Functions
Classwork - Integrating Absolute Value Functions
11/77Integrating Transcendental FunctionsNotes - Integrating Transcendental Functions
Classwork - Integrating Transcendental Functions
11/67Integration by SubstitutionNotes - Integration by Substitution
11/56Unit 6 TestNotes - Unit 6 Test Solutions
Remediation - Unit 6
11/4
No School
11/36Review
10/316ReviewUnit 6 Review Game
10/306ReviewNotes - Quiz Solutions
10/296Quiz
10/286ReviewUnit 6 Practice Test
10/276Cumulative Area FunctionsNotes - Cumulative Area Functions
Classwork - Cumulative Area Functions
Video - Fundamental Theorem of Calculus Part 2
10/246The Fundamental Theorem of CalculusNotes - The Fundamental Theorem of Calculus Part 1
Classwork - The Fundamental Theorem of Calculus
Video - Evaluating Definite Integrals
10/236Approximating Definite Integrals
Notes - Approximating Definite Integrals
Video - Riemann Sums
Video - Area Approximations
Video - Trapezoidal Approximations
10/226Signed, Directed AreaNotes - Signed, Directed Area
Classwork - Definite Integrals
Classwork - Definite Integrals MC
10/21Midterm Exam
10/20Midterm ReviewMidterm Practice
Solutions to Midterm Practice
10/175Unit 5 Test Unit 5 Remediation Assignment
10/165ReviewNotes - Quiz Solutions
Notes - Review Game
10/15PSAT - No Class
10/145Review Classwork - Slope Fields
10/135 Quiz
10/105ReviewPractice Test - Unit 5
10/9 5Growth Models Notes - Growth Models
Classwork - Growth Models
Video - Newton's Law of Cooling
10/85 Separable Differential Equations Notes - Separable Differential Equations
Classwork - Separable Differential Equations
Video - Separable Differential Equations
Tutorial - Separable Differential Equations
10/7 5 Slope Fields Notes - Slope Fields
Classwork - Slope Fields
Video - Slope Fields
10/65AntiderivativesNotes - Antiderivatives
Classwork - Antiderivatives
Video - Power Rule for Integration

  1. This lesson reviews how to find volumes of solids of revolution by disks (one function over the x-axis) and washers (two functions). We also work out one example where there are two bounding.
  2. For notes and practice problems, visit the Calculus course on Calculus (Version #1) is created for a 45-minute class period and f.
  3. Calculus I topic. Part 1 The concept of finding the volume of a solid of revolution using the disk and shell methods. Four examples will follow.

MATH – 20B.Calculus

Summer, July, 2015

11.3 Solids Of Revolution Washerap Calculus

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

NEWSHOMEWORKHANDOUTS

11.3 Solids Of Revolution Washerap Calculus Calculator

Instructor:Professor VladimirRotar; office: APM-7450,e-mail: vrotar@ucsd.edu.

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

11.3 Solids Of Revolution Washerap Calculus Solver

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.

SYLLABUS

How to use the mac terminal for hacking device. 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.




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