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Stewart 9th edition (highlighted sections should be mostly review)EVEN ANSWERS
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UNIT ONE - NOTE OUTLINES Chapter 6WELCOME
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SECTIONPROBLEMSTOPICSLECTURE VIDEOSHW HELP VIDEOS (Ask additional questions on HW QA Discussion)
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6.1i4183-19 odd,20, 24-26, 33Inverse functionshttps://youtu.be/QJ1pSG-TAF8176.1: #26
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6.2i429 (Note- the book has two versions of 6.2-6.4 so check pages) 7,11,15,17, 23-29 oddExponential functions(basic and limits)https://youtu.be/VcbLmTwFe-o216.2: #25, 27, 29
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6.34383-19 odd, 23-31 odd, 47-53Log functions (basic and limits)https://youtu.be/flHdoKfprA0176,6i: #11, 13
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6.6i4931-7 odd, 8, 11, 13Inverse Trig functions (basic)https://youtu.be/ZhGQvop59jo40
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addl Unit circle reviewhttps://youtu.be/ogNQrn-zGnk26
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addl finding inverse trig valueshttps://youtu.be/Jt4sn1xGve013
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6.1ii41937-47 oddDerivatives of inverse functionshttps://youtu.be/tbTSiqZ5PKE306.1:47
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6.2ii42931--55 odd,59, 67-71 odd, 75, 83-91 odd, 94, 971: Exponential functions derivativeshttps://youtu.be/YSA2GGJ2F4w306.2:#75, 97
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2: Applications Derivativeshttps://youtu.be/oNzw9MKZQz019
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3: Integralshttps://youtu.be/vvFm9xVXT5s25
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6.44483-41 EOO (Every Other Odd . 3, 7, 11...41), 46, 59, 61, 63, 64, 65, 75-85 odd, 93,95,47-55 odd,1 derivative lnxhttps://youtu.be/zpOeyupY7T0126.4: 46, 51
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1.5 derivative. a^x and loga(x)https://youtu.be/0IqZRHsnCxo116.4: 63-65
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2 integralshttps://youtu.be/nY2TyweWyW086.4: 95 3 part - 1 ,part - 2, part - 3
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3 logarithmic differentationhttps://youtu.be/2RDKAQItPB49
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6.6ii49320, 23-33 odd, 36, 38, 40,42, 47-53odd, 61-73 odd, 771 inverse Trig functions derivativeshttps://youtu.be/qEqYpuqIVjo86.6: 38, 40.
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2 inverse Trig functions integralshttps://youtu.be/IPez2TdhiF816
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6.75011, 7, 15, 27(a-d), 35-45odd, 59, 65-75 odd1: Hyperbolic functions and derivativeshttps://youtu.be/xbwTZ-pogd415
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2: Inverse hyperbolics and derivativeshttps://youtu.be/ciUxYz8XDUY15
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3: Integrals w/ inverse hyperbolicshttps://youtu.be/Hqf4HvGSbDI8
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6.85111-4, 9-65 EOO (every other odd...9, 13, 17, ...65), 75, 76, 80, 811 : L'Hospital's rulehttps://youtu.be/LV_qfpqAL2Y24
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2: 0 * infinity, infinity-infinityhttps://youtu.be/hGSbDpXVvYc18
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3: 1^infinity etchttps://youtu.be/sDnDsqBW2rA13
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SAMPLE TEST - - - SOLUTIONS
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UNIT 1 TEST
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UNIT TWO - NOTE OUTLINES Chapter 7WELCOME
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7.15281, 2, 51: Integration by parts Ihttps://youtu.be/FhFilcBV4Pw307.1: 35, 43, 47
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91-41 EOO2: Integration by parts IIhttps://youtu.be/FcCSmfNeCVQ15
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43, 45, 47, 55ab3: Integration by parts with substitutionhttps://youtu.be/b-2KsII36jo7
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7.25361-17 EOO, 19trig integrals1: sine coshttps://youtu.be/tYLJbx5EP58377.2: 19 49 65 75
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21-33 EOO2: tan sec producthttps://youtu.be/kMytpNXSPs824
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37, 41, 45,49, 53,55, 65,75
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7.35435, 10.Trig. substitution1 arcsinehttps://youtu.be/pZewNEI_BSk35
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6,92: arctanhttps://youtu.be/W0_-eJFonto15
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7,113: arcsechttps://youtu.be/WL5c4PJigjQ16
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17, 20, 27, 29, 31, 35, 46,507.3: 27,31,35,36,50
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7.4i553 worksheet 1, 3, 5. (optional, if needed)Partial Fractions - algebra reviewhttps://www.youtube.com/watch?v=fhzEOIFkODE46
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7.4ii5539, 16, 17, 19, 23, 26, 31, 39... (you have done the first part of some of these on the ws)1 Partial Fractions - integrationhttps://youtu.be/1_MlYfV6VdY107.4: 9, 19, 23, 39
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41-47odd2 Rationalizing Substitutionhttps://youtu.be/tFHhBllbmn8107.4: 45
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7.55593, 10, 22,49 (I recommend doing ALLof 1-82)Summary of integration
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7.85875-19 odd, 291: Improper Integrals at infinityhttps://youtu.be/e8zhN07pAAg2713,15
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57, 59, 612: Comparison test at infinityhttps://youtu.be/JVrRHbY_nSQ1757 59 61
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37-47 odd3: Improper Integrals at x=ahttps://youtu.be/wJGuBQ97K942343,47
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65, 67, 90Additional Examples39 67
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SAMPLE TEST - SOLUTIONS
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TEST 2
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UNIT THREE - NOTE OUTLINES Chapter 11.1-11.3 ===>>11.4-11.7 NOTES
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11.1773 5-53 EOO1: Introduction to Infinites Serieshttps://youtu.be/0wyqAQ-g1CE9
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5-53 odd2: Sequences: Convergencehttps://youtu.be/MeBqcpS50rU32
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(optional) 79, 81, 83, 873: Sequences: Monotone, Boundedhttps://youtu.be/zIWLdj8xIec18
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11.27851-9 odd, 15, 17, 20. 1: Convergence of Infinite Serieshttps://youtu.be/m-gN9CvnzoQ3411.2:17
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23-31 odd2: Geometric Serieshttps://youtu.be/yNZpOLf64jQ40
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33-45 EOO, 55 59, 63,69, 71, 77,86, 88, 90, 913: Harmonic Series, Divergence Testhttps://youtu.be/CEEF8VtkYeQ32
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11.37965-25 EOO, 29, 31, 36...///...38, 39, 421: Integral Test and P serieshttps://youtu.be/mVdgqC51F2s3611.3: 17, 39
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38,39,422: Integral test estimatehttps://youtu.be/yP-xc5eYBi83511.3: 31,38
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11.48021, 2,3,7-31 odd, 39, 53, 541: Comparison Testhttps://youtu.be/70fhafWIZMU5311.4: 39
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2: Limit Comparison Testhttps://youtu.be/h-S_ydkTLFM2311.4: 31
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11.58101-19 odd, 37, 39, 45.1: Alternating Serieshttps://youtu.be/tGrhKqTfKtc4011.5: 39, 45
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21-33 odd2: Absolute Convergencehttps://www.youtube.com/watch?v=bwr4bHlyPDo32
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11.68161-19 odd. 1: Ratio Testhttps://youtu.be/1Ej1mx9WJkc2611.6: 15, 17
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21-35 odd, 39, 40, 412: Root Testhttps://youtu.be/8QrsrckLqjE7
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11.78199-17 odd, 21, 25, 27, 29Series Practicehttps://youtu.be/uB2g0X4vKoQ711.7: 15
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11.7: 7a, 22, 32
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TEST 3Practice
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SAMPLE TEST - SOLUTIONS
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UNIT FOUR - NOTE OUTLINES Chapter 11.8-11.11WELCOME
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11.88243-27 odd, 31, 35, 371: Power Serieshttps://youtu.be/Q_mwpYo55bs4011.8: 35
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Module 11.9-101: Definitition of Taylor Serieshttps://youtu.be/i-ib2pSj-wU14
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11.10i8465-17 odd, 23, 25, 262: Building Series Using the Definitionhttps://youtu.be/YiE_tIPI9ls3711.10: 7, 25,45,73
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11.9i8313, 5, 7, 15, 17, 213: Creating Series From Known Serieshttps://youtu.be/SznOMK76YZM68
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11.10 ii824 35*,36* 39, 41, 45*, 47, 57*, 73, 75.. (* binomial series formula optional, can use direct formula)11.10 36
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11.9ii831 27, 29, 31 33, 35 4: Using Taylor Series for Estimation and Integrationhttps://youtu.be/4aO9MA7rDXQ1811.9: 29 31
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11.10iii84655, 56,60, 63, 66,...//...31
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5: Proving the "="https://youtu.be/FalIYK-zE5s12
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11.118563, 4, 6, 13,ab, 18ab, 25 (don't need to do graphs, but you might want to look at a few on computer)Taylor Polynomials and Errorhttps://youtu.be/rM8eU_6aNBE1611.11: 13
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Notes for 8.1 10.1 10.2Power Series Summary (optional)https://youtu.be/ZX5GlavSOvo
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8.16039-19 odd, 22Arc Lengthhttps://youtu.be/-MRlM4zUHJo20
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Notes for 10.1 and 10.2
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10.17067, 9, 11, 13, 14, 15,17, 18, 19, 21, 30-34,37, 46, 55Parametric Equationshttps://youtu.be/5CE1AL_UlUg6610.1 #37
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Additional matching examplehttps://youtu.be/rucX0kLcHGE6
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10.2i7171-11odd, 15, 19, 33, 34, 47, 49Dy/dx and Arc Length in parametric equationshttps://youtu.be/vrHJfcCTL9Q17
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Notes for 10.3
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10.37301-5 odd...//...7-25 odd...//... 29, 30, 33-43 odd, 47Polar coordinates (review)https://youtu.be/TmMdp3kr8NE17REDO VIDEO
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Converting to polar equationshttps://youtu.be/mQOcGrKVNdM7REDO VIDEO
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Polar Graphinghttps://youtu.be/Zizgk_5UGGk
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TEST 4
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Sample Test 4