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EVEN ANSWERS
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ALGEBRA/TRIG REVIEW VIDEOS-as neededTopicVideo
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1: Basic Algebra and common errors https://youtu.be/15AnsM3s2MA20
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Notes and Worksheets2: Factoring Rational Exponentshttps://youtu.be/KUQuZkBNt_o17
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3: Complex Fractionshttps://youtu.be/qHjMjlfOkic13
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4: Nonlinear Inequalities - Sign Chartshttps://youtu.be/Z9woHjAh4mk25
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5: Working with Absolute Value as a Piecewise Defined Functionhttps://youtu.be/h-hO4gJHR4k20
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6: Brief Review of Lineshttps://youtu.be/Zqw1KK2cIKE10
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7: Functional Notation, Basic Graphs and Transformations.https://youtu.be/cETO6R5yoW824
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8: Graphing Polynomials and Rational Functionshttps://youtu.be/gxBFh26DaSc24
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9: Unit Circlehttps://www.youtube.com/watch?v=ogNQrn-zGnk
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10: Solving Trig. Equationshttps://www.youtube.com/watch?v=6lfT9QWJadQ
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Intro to Logic: If-Then statementshttps://www.youtube.com/watch?v=oEr27P1bX9o
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UNIT 1- NOTES pdf
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If you prefer the WORD version of notes for any unit, they are HERE
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SectionPageProblemsTopicVideolengthHomework Help
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Intro to Calculus and 1.4 (in orientation module - course overview)https://youtu.be/WJoRkDNysbI15
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1.5i603,5,6,7,10, 11, 13 (use desmos), 15 (create ANY graph of any function that satisfies conditions), 17, 19 (use desmos to make table as in video)Limit 1: Limit Ideahttps://youtu.be/WZdSNkxtG7s21# 10.
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1.7811, 3, 5 (desmos), 7(desmos) 19, 21, 25Limit 2: delta epsilonhttps://youtu.be/PUFPVtLnQoU34#5, Desmos video
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1.78228Limit 3: One sidedhttps://youtu.be/qOERR7oNuGc1728
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1.5 and 1,7 part ii611.5: 9, 27-37 odd, AND 1.7:: 41, 43Limit 4: Infinite Limit - Vertical Asymptote compute and provehttps://youtu.be/aYj553QmkvA271.7: 41,43
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3.4i2483, 72, 76Limit 5: Limit at Infinity and Limit Summaryhttps://youtu.be/tZptP-z2L4Y23#72,76
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1.6703, 111.6 video 1: Limit Properties and Calculating Limitshttps://youtu.be/blewgQOUsRM33#41,47,48,51,53,67
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10, 13-21 odd1.6 video 2: Limit Properties cont'd and Indeterminate Limitshttps://youtu.be/3Ld3608YN7A9
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23-29 odd, 671.6 video 3: More Indeterminate Limits Radicalshttps://youtu.be/s5tnIvMf8TA8
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47, 48, 51-531.6 video 4: One Sided Limitshttps://youtu.be/8cYd3KVE2u06
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37-411.6 video : Squeeze Theoremhttps://youtu.be/a9V8vHQJLhQ9
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3.4ii2499-19 odd, 20, 23, 26Calculating Limits at infinity-Horizontal Asymptototeshttps://youtu.be/u2rT3VGdsgQ25#20,19,23,26,15
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1.8925, 11, 19, 20, 23, 29, 33, 35, 37, 41, 43, 471.8 video 1: Continuous Functionshttps://youtu.be/_3o_Z2QPfis28
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1.89453, 55, 59, 631.6 video 2: Intermediate Value Theoremhttps://youtu.be/WCJOFQgiuPk19# 41,53,59,63
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1.4/2.150/1161.4: 9 ( can use computer) and 2.1: 1, 5, 7, 9, 10Applications of Limit 1: Tangent https://youtu.be/rAIHiqRPKfA591.4 #9<= using desmos
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1.4: 7 and 2.1: 11, 13, 14, 15Applications of Limit 2: Velocityhttps://youtu.be/g5j1QJEjEcA17
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1.4: 1, 2 and 2.1: 17, 19, 21, 24, 27, 29, 33, 38, 39, 50, 52, 55Applications of Limit 3: f'(a)https://youtu.be/URMZXk_GIbg21
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SAMPLE TEST 1 SAMPLE TEST 1 SOLUTIONS
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UNIT 2. NOTES
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2.21281, 5-15 odd, 452.2 video 1: Graph of f(a) vs f'(a)https://youtu.be/bhWGACwekfs31# 55,59,662.2 in Unit 1 Summer 23
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19, 23, 25, 29, 332.2 video 2: Derivative as functionhttps://youtu.be/3aG6BK7aDfY7
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3, 39, 55, 592.2 video 3: When f'(a) does not existhttps://youtu.be/-37n8Jeo1gc32
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47, 51, 56, 662.2 video 4: Higher Derivativeshttps://youtu.be/JR2QbLr4q0E9
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2.3i1431-13 odd1:Power Rulehttps://youtu.be/1kbhX7EHPNc20
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2.3i14315-39 EOO (Every Other Odd 15, 19,23, ...), , 40,44 ,47,49, 59,61, 67,69,73,75, 79,852:Differentiation formulas: sum, product and quotient rulehttps://youtu.be/RF_ug0eqKx045#49
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2.3ii14587,89,90,95,97,100,101,107,115,1163:More challenging tangent problemshttps://youtu.be/VBAZTCBd-f416#90,101,115,11689, 97, 100, 107
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2.41541-29 EOO,31,37,39,631: Derivatives of Trig Functionshttps://youtu.be/FtkTJ68hFSw20#23,31,63
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45-59 odd2: limits of trig functionshttps://youtu.be/Q7J95N9blFg27
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2.51621-15 odd1: Derivation and Basic Chain Rulehttps://youtu.be/9uSmP2Z50OE312.5 #23 31 55 61 72 75
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16237, 39, 41, 43,472: More involved Chain Rulehttps://youtu.be/TGIEkjxc4e421
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16217, 21,23,31,49,55-61 odd,70,72,75,82,83,84,863: Putting it all together: Derivatives and applicationshttps://youtu.be/nscCk-nSTrc10
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2.61691-19odd, 25,27, 36,37,39,48,59,62,65implicit differentiationhttps://youtu.be/oIXMUopOSxc342.6 # 9, 36b, 37, 48, 62, 652.6: #15, 25
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2.7skip Applications in Natural and Social Sciences
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2.81893,5, 7,9...//...13-19 odd, 21,25,29,32,35,41,44,471: Introduction to related rateshttps://youtu.be/pukcL-YrLss392.8:#13,19,2.8 25, 27,29,41,44
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2: Additional Related Rates Exampleshttps://youtu.be/Sdj-ViBqLw036
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2.91961,3,5...//...11-35 odd, 39,41,431: Linear Approximationhttps://youtu.be/kx9uHq2G1Fs172.9: #432.9:#41
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2: Differentialshttps://youtu.be/w5HElNjKuoY39
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SAMPLE TEST 2. =======> solutions ====> SAMPLE TEST 2 SOLUTIONS
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NEW SAMPLE TEST 2NEW SAMPLE TEST 2 SOLUTIONS
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UNIT 3. NOTES
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3.1i2163-11odd 1: Intro to extrema and critical numbershttps://youtu.be/8K3wXUX_EMI26
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29-45odd,1.5: Critical Numbers.https://youtu.be/9rg-3a3awng12
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3.1ii21653-59 odd, 722: closed interval methodhttps://youtu.be/v9uqD7Z2CnQ123.1ii : 59, 72
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3.7i2727,36, 43,56,823: applications closed interval methodhttps://youtu.be/EOqEJZRFjfk163.7i: # 36, 43, 563.7i addl example
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3.3i2349,11,12,13,251: increasing, decreasing, local extremahttps://youtu.be/Q-jViVm-MzU23
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3.3ii2341, 15,19,23, 39,67,722: concavity and graphing polynomiahttps://youtu.be/7H5qzdhLOWc17
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47, 493: Rational Exponent with cust example graphhttps://youtu.be/QT3J0xU5vQM24error at 17:02
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29-37 odd4: Create graph given abstract info.https://youtu.be/rk-1DgEgJ-I10
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3.3iii23417, 21, 515: Trig graph exampleshttps://youtu.be/2o4gxndXN0o33
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3.4covered previously- review if neededlimits at infinity, horizontal asymptotes
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3.525613,19,23,25,29,33,35,39,49,53,57more graphing, with asymptoteshttps://youtu.be/wR7H8YQDo6834
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3.6skip
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3.7ii2724, 20, 21,26,27,29,31,38,60,62applications/ optimizationhttps://youtu.be/lGwxZNN5468293.7:#31
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3.22251,9,11,131: Rolles Theoremhttps://youtu.be/0RlFtmwBH5Y
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3.22253, 15,17,21,23,25,34,402: Mean Value Theoremhttps://youtu.be/YULM5XZvaS4273.2: 17,23,25,34,40
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3.8skip for nowNewton's method
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SAMPLE TEST 3SAMPLE TEST 3 SOLUTIONS
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UNIT 4: NOTES
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3.92901-45 EOO (1,5,9,...), 51,53,59,63,69,74Antiderivativeshttps://youtu.be/Ug2etsO5crA32
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4.13113,5,1: Intro to Integration: Areahttps://youtu.be/VUiflxxgj5M33
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4.13119, 112: Intro to Integration: Distancehttps://youtu.be/bnP_DLzphPY9
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4.23241, 5,9, 29, 31, 35, 41-47 odd 59. 61Definite Integral Riemann Sumhttps://youtu.be/Vg_yHdOitVk80
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4.333625-43 odd, 471: FTC part 2https://youtu.be/azxIF24cLKU26
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4.33353, 7,9,13,15,172: FTC part 1https://youtu.be/nal6gEKcCG4304.3 15,17
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4.43451-45 EOO (1, 5, 9, ...)1: Indef. Integralhttps://youtu.be/4abapZHeNWs64.4; 25
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4.434551, 53, 57, 61, 63, 662: Net Change Theoremhttps://youtu.be/6tusTN45J6k25
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4.53551-13 odd, 18, 22, 25-31 odd, 37, 41, 43, 45, 49, 51u-substitutionhttps://youtu.be/sW9RcR-TNOE404.5: 29, 31, 37, 41, 43, 45, 49, 51
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5.13701, 3, 6 (do both ways: dx and dy), 8, 11-27 odd, 41,54, 62Area Between Curveshttps://youtu.be/S3wcYcrfKQk475.1: 5,15,23,27,41,54
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5.1 addl exampleshttps://youtu.be/SgSqA4JGi9E225.1: 21, 25
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SAMPLE TEST 4 WITH ANSWERS
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Additional Sample Test 4. ==>>>>. solutions=>>>>addl sample test 4 solutions.
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UNIT 5
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VOLUME NOTES
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5.2i3841-7 odd, 11-17 odd, 59, 600: Great Intro from youtubehttps://www.youtube.com/watch?v=HHCK9iweK6U&t=18s
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1: Volume of Solid of Revolution- Disk/Washerhttps://youtu.be/upfjEFtk_Og325.2: 17