| week | day | date | description | |
| 1 | Tues | 16-Jan | ICE!!! No SU. | |
| Thurs | 18-Jan | FWO 209
Survey. Visit from Kruger of Career Services.
Overview of what should be memorized from background material. Review of some trig properties, derivatives (chain rule, trig). |
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| 2 | Tues | 23-Jan | FWO 209
5.5 Substitution
Hwk on board. I integrated (lnx)/x and #s 29, 30, 44. Gave rationale for change of variable, proof that it undoes the chain rule. Review of inverse functions and domain restrictions, including x2 and arctanx; one-to-one or monotone functions and horizontal line test. Discussed organization of text, including Reference pages Assigned quiz 1. 5.5: 18, 20, 24, 42, 54. prefer by class 1/25 but accepted Fri 1/26 noon. |
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| Thurs | 25-Jan | FWO 209
5.6 Parts
Hwk on board. I integrated (lnx)/x (again), x lnx, x (lnx)2, arctanx. Also #s 4, 18 and variations. Linear substitution for x e-x followed by parts. Need to know differentiation rules 1-9,11,13-21 on Ref p5. Need to know integration rules 1-18 on Ref p6. Gave rationale for integration by parts and hierarchy of when to use it. Repeatedly emphasized strategies. Quiz 1 accepted Assigned quiz 2. 5.6: 6, 27. prefer by class 1/30 but accepted 2/1. |
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| Fri | 26-Jan | MBH 141
noon Quiz 1 due |
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| 3 | Tues | 30-Jan | FWO 209
Handout : Trig formulas; can use on exams. 5.6 Proof that parts undoes the product rule. Repeated parts and solve for integral with ex times sinx or cosx. 5.7 Additional Techniques: Trigonometric Integrals with products of powers of sinx and cosx. Began with multiple ways to integrate sinx * cosx. Quiz 2 accepted though not due until next time |
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| Thurs | 1-Feb | FWO 209
Quiz 2 due Handout : Syllabus (has been available online) integration of x (2x+1)1/2 multiple ways. For exam 1, use sub, do not use parts, even with a linear substitution. Included parts now to show the need for (1/2). Showed excerpts from Swokowski, Olink, and Pence to supplement 5.7 Additional Techniques. Trigonometric Integrals with of products of powers of tanx and secx. Brief overview of binomial theorem and coefficients from Pascals Triangle. Integration of rational functions and partial fractions decomposition. Showed excerpts from Swokowski, Olink, and Pence. Assigned quiz 3. p 435 21, 22, 23, 25, 32 and integrate Sin4x Cos2x. Weight of 2. Due 2/8. Might assign another quiz due by 2/8. Begin this immediately. Discussed exam rules (showed current page) and quiz rules (written on board; also posted on quiz website.) |
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| week | day | date | description | 4 | Tues | 6-Feb | FWO 209 Continue 5.7, App G:
pfd, rational integrands.
Handout for studying (not for exam notes): excerpts from Swokowski, Olink, and Pence |
| Thurs | 8-Feb | FWO 209
Quiz 3 due Continue 5.7, App G: pfd, rational integrands. Includes completing the square, sub. |
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| 5 | Tues | 13-Feb | FWO 209 EXAM 1 . See exam rules. | |
| Thurs | 15-Feb | FWO 209
5.7 Trig substitutions. 5.8 CAS; Mathematica demo.
Assigned quiz 4. Due Th 2/22. Groups allowed. integrate 1/(x (25 x2+16)), x3/(square root of (9 x2 + 49) ), (x4 + 2 x2 + 4 x + 1)/((x2 + 1)x3) 5.9 Approximate integrals. Demo of Approximations by Richards. |
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| Monday last day to drop without record. | ||||
| 6 | Tues | 20-Feb | FWO 209
5.9 Approximate integrals. Hwk 1, 11, 27
5.10 Improper integrals. Hwk 5, 9, 15, 21 |
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| Thurs | 22-Feb | FWO 209
Quiz 4 due 6.1 areas. Hwk 3-15 odd. |
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| M I D S E M E S T E R W E E K | ||||
| 7 | Tues | 27-Feb | FWO 209
finish up ch 5 and 6.1 |
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| Thurs | 1-Mar | FWO 209 8.1 sequences | ||
| week | day | date | description | |
| 8 | Tues | 6-Mar | FWO 209 8.2 series | |
| Thurs | 8-Mar | FWO 209 8.3 integral test and Basic Comparison Test | ||
| Mar 10-18 Spring Break!!! | ||||
| 9 | Tues | 20-Mar | FWO 209
8.3 comparison tests, including Limit Comparison Test, and review
(including improper integrals through Integral Comparison Test).
Discussed exam and exam notes. |
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| Thurs | 22-Mar | FWO 209 EXAM 2 . See exam rules. through the integral test | ||
| week | day | date | description | |
| 10 | Tues | 27-Mar | FWO 209
Handout Summary of Series Tests. 8.4 Other Convergence Tests, particularly Ratio Test and Alternating Series Test. Worked examples multiple ways. |
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| Thurs | 29-Mar | FWO 208
Quiz 5 in-class directed work on series in Excel and Mathematica from scratch. quiz 6 assigned . Opportunity for choosing group and arranging times to meet. |
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| Monday last day to drop. | ||||
| 11 | Tues | 3-Apr | FWO 208
Quiz 6 due. Handout of quizzes and homework. Looked at calendar; will "hammer" with quizzes. 8.2-8.4 Series with Technology Quiz 7 in-class directed work on series in Mathematica based on PartialSums.nb. quiz 8 assigned but with a different function. Quiz 9 assigned . Opportunity in class for choosing group and arranging times to meet. 8.5 Power Series Intro |
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| Thurs | 5-Apr | FWO 209
Quiz 8 due.
8.6 Power Series and 8.7 Taylor and Maclaurin Series, Taylor Polynomial but not really 8.9. Lots of board work. Demo of TayColPlt.nb . We have covered parts but not all through 8.9. We covered the mechanics of calculating Taylor series term by term, common patterns in being able to write the nth term of a Taylor series, definition and calculation of radius of convergence, using the Ratio Test on a power series in xn to determine the interval of convergence except for the endpoints. quiz 10 assigned but due date changed Showed updates to Quiz webpage past handout from last time. |
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| week | day | date | description | |
| 12 | Tues | 10-Apr | FWO 208
8.9 Taylor Polynomials (skip 8.8 Biomial series) Quiz 9 due. Quiz 11, in-class work in Mathematica on power series, Taylor series, Taylor polynomials. Handout key to Quiz 8, hand-written portion. Board work on Raio Test for power series, interval of convergence, radius of convergence. One example converged for all x; another converged on a half-open interval. Discussed center of the interval, geometric interpretation and algebraic. Mentioned the "big-oh" function, its general definition, its use in Mathematica. I added notes to the file I created in class. Here it is in Mathematica and as in web format |
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| Thurs | 12-Apr | Ch 8 series, 6.4 Average Value
Quiz 10 due. Discussed undergraduate conferences such as the TX MAA. Creating series using function composition and a known Taylor series. Taylor Series of polynomials. Outline of graphing Taylor polynomials and the original series. Integration of functions via Taylor Series. Patterns in TS, verifying (but for now not coming up with the patterns.) Examples of Taylor Series applications (airplane wings and pilot's cheeks). Average value, Mean Value Theorem for Integrals. Outline of tracing a function on the graphing calculator to estimate the value of "c" whose function values is the average value of the function over an interval. no office hours; Shelton travel to TX MAA. |
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| 13 | Tues | 17-Apr | Discuss exam notes. Review. Board work and discussion included
(1) interval of convergence for a power series,
(2) average value of a function and
the x-value at which the average is achieved,
(3) trigonometric substitution integration and
in full and indications of substitutions in variations of the integrand,
(4) sum of a series for geometric, McLaurin series value, and telescoping
series.
Handout of Key to Quiz 9 which you may pick up IF you have turned in Quiz 9. Individual grade reports for quizzes; see me for corrections. After class . . . (1) updated webpage for homework; included webpage of supplemental trig sub problems. Also updated calendar and exam rules. (2) Shelton corrected the quiz grades which were reported in class; see me for a print-out of the revised report. (3) Be sure to get a copy of the Key to Quiz 9 when you turn in your quiz. |
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| Thurs | 19-Apr | FWO 209 EXAM 3 . See exam rules. | ||
| 14 | Tues | 24-Apr | FWO 209
7.1 Intro to Differential Equations, 7.3 Separable Equations
Quiz 12: in-class work. See the resulting file in Mathematica and as in web format |
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| Thurs | 26-Apr | FWO 209
7.3 Separable Equations
quiz assigned 13: due next time Quiz 14: in-class work solving separable differential equations; results of student work given as a Handout at the end of class. |
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| 15 | Tues | 1-May | FWO 209
7.3 Separable Equations
Quiz 13 due Course Evaluations |
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| Thurs | 3-May | FWO 209 Review. Included sequences, series, and the logical conclusions of the various tests; integration using partial fractions. | ||
| Sun | 6-May | 8pm MBH 109 OPTIONAL REVIEW SESSION | ||
| Mon | 7-May | FINAL 8:30 a.m. - 11:30 a.m. in FWO 209 See exam rules. | ||