Math 152 Sections 101 and 102 (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.

[02-13] school started at 10am due to increment weather, so the lecture didn't take place.

Homework 4 is assigned on MathZone.

[02-15] did the proof of logarithmic laws using substitution, and some integration problems involving logarithms/substitution (4.8).

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

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

[02-20] 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.

[02-22] school started at 10am due to increment weather, so the lecture didn't take place. A MAKE-UP LECTURE is scheduled for WED., FEB. 27 at NOON. The location will be announced soon once the availability is verified.

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

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[02-25] finished volume by slicing, started finding the volume of a solid obtained by revolving a region in a plane (5.2), (5.3).

The MAKE-UP LECTURE will be on Wed. at NOON in PUP 105 (Public Policy building, beside Physics).

[02-27] covered volumes by the methods of Disk/Washer/Shell, finished (5.2), (5.3).

[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 Arc Length (5.4).

[03-05] covered the derivation of the Surface area formula (5.4), and integral formuals (6.1).

Homework 7 is assigned on MathZone.

[03-07] went through the case where needs completing the square/split up (6.1), and derived integration by parts formula (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] 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).

[03-12] finished (6.2), covered the case of mixture of powers of sin/cos in the Trig Integrals (6.3) (only the case when one of the powers is odd); went over the exam.

[03-14] covered 'hard' case of sin/cos, 'easy' case of tan/sec (6.3), and went over the exam.

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 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), and the introduction to Trig Sub. (6.3).

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] covered Trig Sub., stopped in the middle of proving the area of a circle of the radius r is pi*r^2 (6.3).

[03-28] done (6.3), done the case with distinct linear factors (of power 1's) in (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] covered (6.4), stopped on the example with repeated quadratic involved (6.4).

[04-02] covered miscellaneous substitutions which sometimes required before applying Trig Tables in the back of the book (6.5), and intro to improper integrals (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] covered the improper integrals, 1/x^p on [1, infinity) and [0,1], related theorems on convergence/divergence, and its proof (6.6).

[04-09] covered the case where it is improper other than one end point (where it needs breaking-up the intervals), comparison test (6.6), and the definition, graph, limit of a sequence (8.1).

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

[04-11] covered convergence/div. of a sequence, squeeze theorem, and a monotonic seq. (8.1).

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 the definition of conv/div. of a series, Geometric Series and its convergence/div. result and the sum (8.2).

[04-16] covered Telescopic Series, Divergence Test, P-Series Test and the Harmonic Series (8.2), (8.3).

Homework 12 is assigned on MathZone.

[04-18] covered Comparison test, Limit Comparison test, and stated Integral test (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] proved error-bound in the integral test and some examples involving integral test (8.3), stated and proved Alternating Series Test (8.4).

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

[04-23] done examples of conv./div. of an alternating series, error-bound in the alternating series (8.4), definitions of Absolute Convergence/Conditional Convergence, stated Ratio Test, stopped at the middle of its proof (8.5).

Homework 13 is assigned on MathZone.

[04-25] done proofs, examples of Ratio and Root tests (8.5). Stated the definition and looked at an example of Power Series (8.6).

There will be no quiz on Monday, May 5.

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[04-28] 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)).

[04-30] covered representation of a function as a power series (8.6), started Taylor Series (8.7).

[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 Taylor Series, Maclaurin Series, and its applications (8.7), (8.8).

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 definition, sketching of a parametric curve, velocity of a particle moving along a parametric curve (9.1), (9.2).

[05-09] covered horizontal/vertical components of velocity, speed of an object on a parametric curve, slope/concavity of a parametric curve (9.2). Handed out 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.