Math 152 Sections 201 and 202 (Spring 2008)

[01-28] went over the syllabus. done the definition of Riemann sum (4.3).

[01-30] done summation notation (4.2) and the definition of the definite integral (4.4 the first half).

Quiz 1 on Monday will cover: memorizing the integration formulas on p347(box at the bottom), corollaries 1.1, 1.2 (p349), selected problems from #5-30 on page 352.

Homework 1 is assigned on MathZone.

[02-01] done the properties of the definite integral (4.4). Homework 2 is assigned on MathZone.

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[02-04] covered the average value of a function on an interval, Mean Value theorem for integrals (4.4), and the fundamental theorem of Calculus (part I), (4.5).

Quiz 2 on Monday, Feb. 11: selected problems from #19-22, p360; #15-18, p368 (make sure NOT to use the fundamental theorem on this); #55-58, p382.

[02-06] covered the connection between the definite integral and the net change (net displacement) and the total change (total distance traveled) in the function values (4.4, 4.5 (like Example 5.11)).

Homework 3 is assigned on MathZone.

[02-08] covered Part II of the Fundamental Theorem of Calculus (remainder of 4.5).

Quiz 3 on Monday, Feb. 18: from #19-20, p380 (using FTC); #35-38, page 381; #1-20, page 390; #27-32, page 390-391.

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[02-11] covered Substitution (4.6), and the beginning of (4.8). will be back to (4.7) after (4.8) is done.

ATTENDANCE CREDIT TO THE DISCUSSION WILL BE GIVEN ONLY IF A STUDENT WORKS IN THE DISCUSSION.

[02-13] did the proof of logarithmic laws using substitution, and some integration problems involving logarithms/substitution (4.8).

Homework 4 is assigned on MathZone.

[02-15] covered (4.7) briefly (mid-point and trapezoidal rule only), area of the region in a plane (5.1).

Quiz 4 on Feb. 25 will be on: #13-16,#25-30, page 425; #53-58, page 391; #5-30, #31-40, page 400.

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[02-18] covered the case where finding the intersection points requires Newton's Method (5.1), and finding the volume of a solid by slicing (5.2).

Homework 5 is assigned on MathZone.

[02-20] finished volume by slicing, started finding the volume of a solid obtained by revolving a region in a plane (5.2).

[02-22] covered volumes by the methods of Disk/Washer/Shell (5.2), (5.3).

There is NO QUIZ ON MON., Mar. 3.

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[02-25] finished (5.2) and (5.3).

[02-27] covered Arc Length (5.4).

[02-29] Exam #1: chap. 4, 5.1 took place.

Quiz #5 on March. 11 will be on: page 454 #10; page 463 #17-20, 23-26; page 470-471 #5-14.

Homework 6 is assigned on MathZone.

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[03-03] covered the derivation of the Surface area formula (5.4), and integral formuals (6.1).

[03-05] went through the case where needs completing the square/split up (6.1), and derived integration by parts formula (6.2).

Homework 7 is assigned on MathZone.

[03-07] went through the case where needs parts more than once, and the case which requires gathering the 'unknowns'. Also covered reduction formulas for sin, cos (6.2).

Quiz #6 on March 24 will be on: page 513: #1-40; page 519: #1-26, 27-36.

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[03-10] finished (6.2), covered the case of mixture of powers of sin/cos in the Trig Integrals (6.3).

[03-12] covered the case of mixture of powers of tan/sec in the Trig Integrals (only the 'easy' case) (6.3), and went over the exam.

[03-14] covered the 'hard' case of tan/sec (6.3), and product of sin/cos with different arguments where product-to-sum formula is needed (not in the book).

There is no MathZone homework due on March 21 due to Spring Break.

Quiz #7 on Mon., March 31, will be on #1-16, page 529; #17-30, page 529; #1-14, page 537.

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[03-24] covered trig sub (6.3), stopped at the case where it requires 'completing the square' first.

Final exam will be on Wed., May 21, 1-3pm. The place will be at some LH (TBA).

Homework 8 is assgined on MathZone.

[03-26] finished (6.3), stated P.F.D. method (6.4).

[03-28] done the case with linear factors and/or quadratic factors where needs completing the square and splitting (6.4).

Exam #2, on Friday, April 4, will be on the sections 5.2-5.4, and 6.1-6.4. Focus on the notes. Please go to the same place that you went to take exam #1 at the same time slot.

Homework 9 is assigned on MathZone.

There will be no quiz on Monday, April 7.

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[03-31] finished (6.4), and did some miscellaneous substitutions (not in the book).

[04-02] done (6.5), covered the definition of improper integrals and when an improper integral is convergent (6.6).

[04-04] Exam #2 on the sections 5.2-5.4, and 6.1-6.4 took place.

Homework 10 is assigned on MathZone.

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[04-07] proved convergence/divergence theorem of 1/x^p on [0,1], and covered the Comparison Test and its usage (6.6).

Quiz #8 on Monday, April 14 will be on pages 558-559: #1-6, #7-20, #21-34, #39-48.

[04-09] covered the definition, graph, limit, convergence/divergence of a sequence, recursive formula of a sequence, and squeeze theorem (8.1).

[04-11] done (8.1), covered the definition of Series, the meaning of convergence of a series, Geometric Seris (8.2).

Homework 11 is assigned on MathZone.

Quiz #9 on Monday, April 21 will be on page 624: #11-28 (except the ones with factorials, we will discuss them later on with ratio test). page 624: #29-32, page 624: #39-42. page 634: #1-22, page 635: #35.

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[04-14] covered an example of Geometric Series, Telescopic Series and the Divergence test (8.2).

[04-16] covered P-Series Test, Harmonic Series, Comparison Test, Limit Comparison test (8.2), (8.3), stopped at the Integral Test.

Homework 12 is assigned on MathZone.

[04-18] covered Integral Test, proved error-bound in the integral test, covered the cases where needs combination of more than one type of tests (8.3).

Quiz #10 on Monday, April 28, will be on: page 646: #1-34, page 646: #41-44, page 646: #45-48, page 654: #1-24.

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[04-21] covered Alternating Series test, error-bound in the alternating series (8.4), definitions of Absolute Convergence/Conditional Convergence (8.5).

Exam #3, on Friday, May 2, will be on: 6.5, 6.6, 8.1-8.6. Focus on the notes.

[04-23] stated Ratio/Root test (and proved why it is true), done some examples of such (8.5), stopped at the definition of power series (8.6).

Homework 13 is assigned on MathZone.

[04-25] covered interval/radius of convergence of a power series, and the fact that n! approaches to infinity faster than an exponential x^n for any x ((8.6) and EXAMPLE 1.13 in (8.1)).

There will be no quiz on Monday, May 5.

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[04-28] covered representation of a function as a power series (8.6).

[04-30] covered Taylor Series and its applications (8.7),(8.8), started Parametric curves (9.1).

[05-02] Exam #3 on the sections 6.5, 6.6, 8.1-8.6 took place.

Quiz #11 on Monday, May 12, will be on: page 670: #1-8 and #31-36, page 683: #1-8, and page 684: #9-14, page 684: #33-38, page 693: #13-18.

Homework 14 is assigned on MathZone.

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[05-05] covered sketching of a parametric curve, velocity/acceleration of a particle moving along a parametric curve (9.1), (9.2).

Quiz #12 will be submitted online (on MathZone), due May 19.

We take the best 10 hw grades out of 14 homeworks, and the best 8 quiz grades out of 12 quizzes (if you attended the discussion regularly, you will get a one perfect quiz grade).

The final will be on Wed., May 21, in LH 7 (ITE Building), 1-3pm. The final is 150 points (160 points available) and there is NO T/F on the final!!!

[05-07] covered Arc Length and Surface Area in Parametric Equations (9.3).

[05-09] handed back Exam #3 and went over it. Will go over the previous exams on Monday. There will be an extra lecture on Wed. (May 14) for the students who needs to take Cal 3. Time and Place TBA.

Quiz #12 is assinged on MathZone.

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[05-12] did review and evaluation.

The extra lecture (for the students who are heading to Cal 3) will be on Wed., at 11am, in MP 104.

Final week office hours: Tu., May 20, 11-3; Wed., May 21, 10-12:45.

Final exam will be on Wed., May 21, in LH 7 (ITE Building), 1-3pm.

Extra Credit Assignment (10 points) assigned on MathZone.