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people:mckenzie:math_108_hw [2018/08/25 12:50]
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-{{:​people:​mckenzie:​textbook_scan_chapter_1_math_108.pdf|Chapter 1 textbook scan}} 
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-{{:​people:​mckenzie:​scan_of_textbook_ch_3_part_1.pdf|Chapter 3 textbook scan part 1}} 
-and {{:​people:​mckenzie:​scan_of_textbook_ch_3_part_2.pdf| part 2}} 
- 
-{{:​people:​mckenzie:​ch_7_scan.pdf|Ch 7 scan}} 
- 
----- 
-In bold is the date on which the assignment is given. Prepare the work shown and be ready to ask/answer questions the following class day. 
- 
- 
----- 
-WEEK 1 
- 
----- 
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-Read Sec 1.1-1.2; do Comprehension Checks throughout the reading. ​ 
- 
-8-) Do on pp. 31-32, Sec 1.1 and 1.2 problems. 
- 
-Go to [[people:​mckenzie:​worksheets|Practice worksheets]] and choose the one on radicals and rational exponents. 
- 
-To help you, view [[https://​www.youtube.com/​watch?​v=GRwjEki1Ens|Simplifying radicals with constants only]] and  [[https://​www.youtube.com/​watch?​v=e1ZyEnps0Js|With variables]] 
- 
-//Read Sec 1.3 // Finish up Sec 1.1 and 1.2 problems. Do all problems for Sec. 1.3, pp 32-33. 
- 
-Read Sec 1.4 and view FACTORING VIDEOS: 
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-[[https://​www.youtube.com/​watch?​v=WipYqupv9wY|Magic factoring (aka factoring by trial and error)]] 
- 
-[[https://​www.youtube.com/​watch?​v=YaCpeoxGa4E|Factoring by grouping (with example using magic factoring)]] 
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-[[https://​www.youtube.com/​watch?​v=eXjxF1I9o4E|Factoring sums and differences of cubes]] 
- 
- 
----- 
-WEEK 2 
- 
----- 
- 
-8-O Study for quiz on Sections 1.1 to 1.3 
- 
-Do all Sec 1.4 problems. ​ 
- 
-For Sec 1.5, view these videos along with reading the book -- Operations on Rational Expressions:​ 
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-[[https://​www.youtube.com/​watch?​v=x6XyP2_RfA4|Writing rat'l expressions in lowest terms]] 
- 
-[[https://​www.youtube.com/​watch?​v=oUaIdqhCyTU|Multiplying,​ dividing rat'l expressions Ex 1]] 
- 
-[[https://​www.youtube.com/​watch?​v=MJaGrODQr1U|Multiplying,​ dividing rat'l expressions Ex 2]] 
- 
-[[https://​www.youtube.com/​watch?​v=XvJq5kfKpAM|Multiplying,​ dividing rat'l expressions Ex 3]] 
- 
-[[https://​www.youtube.com/​watch?​v=FZdt73khrxA|Adding,​ subtracting rat'l expressions,​ several examples]] 
- 
-[[https://​www.youtube.com/​watch?​v=d3xr5a4cln0|Adding,​ subtracting rat'l expressions,​ one more good example]] 
- 
-Read Sec 1.5; do exercises pp 33-34 #1, 2, 3 a-i 
- 
-Read Sec 1.6.  
- 
-View [[https://​www.youtube.com/​watch?​v=VrI36NODgN0|Solving an equation involving two radicals Ex 1]]  
- 
-and [[https://​www.youtube.com/​watch?​v=8EOGx68kdwo|Ex 2]] 
- 
-Do Sec 1.6 p 34 #1 a-m 
- 
- View [[https://​www.youtube.com/​watch?​v=xGOQYTo9AKY|Completing the square to solve an equation: Ex 1]] and [[https://​www.youtube.com/​watch?​v=zKV5ZqYIAMQ|Completing the square to solve an equation: Ex 2]] 
- 
-After viewing, read Sec 2.2.  
- 
-Do p 58 completing the square #1 all, #2 all, #3 a-g  
- 
-Read 2.1; do p 58 polynomial division #1 a-f 
- 
- 
----- 
-WEEK 3 
- 
----- 
- 
-Quiz 2: Factoring (special products, reverse FOIL, and grouping), simplifying a rational equation ​ (state the restrictions on x at the end), solving a radical equation (don't forget to check your answer), solving a quadratic equation by completing the square. 
- 
-Read Sec. 3.1 and 3.2. Look esp at the domain examples and comprehension checks. ​ 
- 
-[[http://​patrickjmt.com/​finding-the-domain-of-a-function-algebraically-no-graph/​|Algebraically Finding the Domain of a Function]] ​ 
- 
-Do pp 84-85 #1 a c d f, 4 all, 6 a b, 7, 9  
- 
- Read Sec 3.3 and 3.4 
- 
-Do p 85 2, 3 b d, 4, 6 a b, 7  
- 
-Watch the videos: ​ 
- 
-[[https://​www.youtube.com/​watch?​v=hy0N-90gCu0|Evaluating piecewise functions]] ​ 
- 
-[[https://​www.youtube.com/​watch?​v=_zy7Uro7iCg|Domain of a composition of functions]] 
- 
-Read Sec 3.4 and view:  
- 
-[[https://​www.youtube.com/​watch?​v=NgA6rz0nb6w|Understanding one-to-one functions and inverses]] 
- 
-[[https://​www.youtube.com/​watch?​v=AjG1Z1EnOdc}|One-to-one functions]] ​ 
- 
-[[https://​www.youtube.com/​watch?​v=Ec5YYVxyq44|Finding the inverse of a function]] 
- 
-Do Sec 3.4 pp 86-87 #1-5. 
- 
-Extra practice worksheet on finding inverse functions (especially the second set on the page): ​ 
- 
-[[http://​www.kutasoftware.com/​FreeWorksheets/​Alg2Worksheets/​Function%20Inverses.pdf|Inverse functions worksheet]] 
- 
-Quiz 3 on composition of fcns and their domain, finding the inverse of a fcn, showing a fcn is 1-1, using the definition (I'll leave an example on the board for that one, as I did on the first quiz). 
- 
-Read Sec 3.3 and view: [[https://​www.youtube.com/​watch?​v=oKKcIK_PgEk|Even and odd functions]] 
- 
-Do p 86 Sec 3.3 #1 a b c d, 2 all, 4, 5 a b, 7 
- 
-Extra practice worksheets on Odd/​Even/​Neither: ​ 
- 
-{{:​people:​mckenzie:​odd_even_or_neither_worksheet.odt|Odd,​ even or neither worksheet}} 
- 
-{{:​people:​mckenzie:​even_odd_practice.pdf|More even, odd, neither practice}} 
- 
-8-O  Study for Exam 1. It covers Ch 1, Ch 2.1 and 2.2 and Ch 3. 
- 
-Topics: simplifying,​ performing operations on exponents and radicals; same for rational expressions;​ factoring; completing a square with leading coeff NOT equal to 1; solving equations (quadratic, radical, rational); function domain (interval notation); operations on fcns, esp composition and resulting domain; identifying even, odd fcns by evaluating f(-x) and comparing to f(x); showing a fcn is one to one, long division of polynomials,​ finding inverse of a fcn. 
- 
-{{:​people:​mckenzie:​practice_worksheet_for_exam_1.pdf|Practice worksheet for Exam 1}} 
- 
-{{:​people:​mckenzie:​key_to_practice_worksheet_for_exam_1.pdf|Key to practice worksheet for Exam 1}} 
- 
- 
----- 
-WEEK 4 
- 
----- 
- 
-Study for Exam 1 
- 
-Next Unit: Ch 4, Ch 5 and Ch 6 
- 
-Read Sec 4.1 and 4.2.  
- 
-View [[https://​www.youtube.com/​watch?​v=-gwffMEr8i8|Graphing piecwise functions 1]]  
- 
-[[https://​www.youtube.com/​watch?​v=hDNAVh0VtTc|Graphing piecwise functions 2]] 
- 
-[[https://​www.youtube.com/​watch?​v=BxaYyS6lsQ4|Domain and range of piecewise functions]] 
- 
- 
-Do Sec 4.1, which is about basic functions, shifted left, right, up or down, stretched or compressed. 
- 
-Do Sec 4.1 pp 110-111 #1, 4, 6, 7, 8 
- 
-View: [[http://​patrickjmt.com/​horizontal-and-vertical-graph-transformations/​|Graphing transformed functions 1]]  
- 
-[[https://​www.youtube.com/​watch?​v=5oQgzup9nx4|Graphing transformed functions 2]] 
- 
- 
----- 
-WEEK 5 
- 
----- 
- 
-Read Sec 4.2; do pp 111-112 ​ #1a-o, 4, 6, 7, 8. 
- 
-Study for Tuesday quiz on parent functions and rigid transformations. 
- 
-Catch up on any Ch 4 problem sets and videos. ​ 
- 
-Read Sec 5.1: Understanding important features of polynomials in order to graph them. 
- 
-View IMPORTANT video: 
- 
-[[https://​www.youtube.com/​watch?​v=y8iUngkQFwg|End behavior, roots and multiplicity of roots to graph a polynomial]] 
- 
-Do pp 150-151 #1-7 
- 
-Do p 151 #8, 9. 
- 
-Read Sec 5.2. View: 
- 
-[[https://​www.youtube.com/​watch?​v=eHPTyYbNmx4|Find equation using point-slope form]] ​ 
- 
-[[https://​www.youtube.com/​watch?​v=Rew54K6mYUo|Parallel and perpendicular lines]] ​ 
-  
-[[https://​www.youtube.com/​watch?​v=bcp9pJxaAOk|Midpoint]] ​ 
- 
-[[https://​www.youtube.com/​watchv=xdO2Q88JvCs}|Distance formulas]] 
- 
-Quiz 5, {{:​people:​mckenzie:​math_108_quiz_5_revised_polynomial_graphing.pdf|Take-home quiz on polynomial graphing}} ​ 
- 
-Go back and view [[https://​www.youtube.com/​watch?​v=7p2yeuAXSCs|Rational root (zeroes) theorem]] ​ 
- 
-[[https://​www.youtube.com/​watch?​v=R7PPA3p8iBg|Rational root theorem, example]] 
- 
-[[https://​www.youtube.com/​watch?​v=7p2yeuAXSCs|Rational root theorem]] ​ 
- 
-[[https://​www.youtube.com/​watch?​v=eHPTyYbNmx4|Find equation using point-slope form]] ​ 
- 
-[[https://​www.youtube.com/​watch?​v=Rew54K6mYUo|Parallel and perpendicular lines]] ​ 
-  
-[[https://​www.youtube.com/​watch?​v=bcp9pJxaAOk|Midpoint]] ​ 
- 
-[[https://​www.youtube.com/​watchv=xdO2Q88JvCs}|Distance formulas]] 
- 
-Do Sec 5.2 pp 151-152 #3-6, 8 a b e, 9, 10, 11 a b, 12 a c, 16-18 
- 
- 
----- 
-WEEK 6 
- 
----- 
- 
-MAKE SURE YOU HAVE DONE enough of SEC 5.2 problems to be able to do a multi-part problem on lines as we did today 
- 
-Read Sec 5.3 (again, about roots of second degree polynomials,​ i.e., quadratic functions. Solving these is just like what we did in Sec 1.6. Check out 8-) {{:​people:​mckenzie:​quadratic_solutions.pdf|My notes on quadratic equations, formula, and meaning of roots}} 
- 
-View [[https://​www.youtube.com/​watch?​v=l7NhOb3Rjcc|Using the discriminant to find the number of roots]] and [[https://​www.youtube.com/​watch?​v=lGZNaoHGsM8|More using the discriminant]] 
- 
-Do p 153 #1, 2, 3 
- 
-Read Sec 6.1. View [[https://​www.youtube.com/​watch?​v=b-CydtdDYD8|Graphing a simple rational function]] ​ 
- 
-[[https://​www.youtube.com/​watch?​v=BDE73AJrkNA|Graphing a harder rational function]] 
- 
-Do p 188 Sec 6.1 #2, 3 
- 
-View [[https://​www.youtube.com/​watch?​v=--vh9zgZZmQ|Slant asymptotes]] 
- 
-Read Sec 6.2-6.3; do Sec 6.2 pp 188-189, #3 a-d, 5 a b, 6 all 
- 
-Sec 6.3 p 190, #1 a-e and Sec 6.4 pp 190-191 #1-4.  
- 
- 
----- 
-WEEK 7 
- 
----- 
- 
-Study for 8-O Exam 2,Chapters 4, 5, 6. 
- 
-{{:​people:​mckenzie:​math108_fall2017_quiz6.pdf|Graphing rational function practice '​quiz'​}} to be desk-checked (not collected) on Monday ! 
- 
- 
----- 
-WEEK 8 
- 
----- 
- 
-Read Sec 7.1  
- 
-:!: Go to [[people:​mckenzie:​math_108_videos|Videos]] and view '​Solving quadratic and rational inequalities'​ 
- 
- Do problems in Sec 7.1 p 215 #1 a-e, f, 2 a-c, e, 3 a-e, 6 
- 
-Read Sec 7.2. View: 
- 
-[[http://​patrickjmt.com/​solving-absolute-value-equations-ex-1/​|Absolute value equations--Example 1]]  
- 
-[[http://​patrickjmt.com/​solving-absolute-value-equations-ex-2/​|Absolute value equations--Example 2]] 
- 
-[[http://​patrickjmt.com/​solving-absolute-value-equations-containing-two-absolute-value-expressions-ex-1/​|Eqns with two abs values, Example 1]] 
- 
-[[http://​patrickjmt.com/​solving-absolute-value-equations-containing-two-absolute-value-expressions-ex-2/​|Eqns with two abs values, Example 2]] 
- 
-[[http://​patrickjmt.com/​solving-absolute-value-equations-containing-two-absolute-value-expressions-ex-3/​|Eqns with two abs values, Example 3]] 
- 
- 
----- 
-WEEK 9 
- 
----- 
- 
-Using my notes {{:​people:​mckenzie:​notes_on_abs_value_equations.pdf|Solving absolute value equations}} along with last set of videos: 
- 
-Do Sec 7.2 p 215 #1, 2, 3, 5 a-h, 7, 8 
- 
-Read Sec 7.3 and view the videos in conjunction with the reading. 
- 
-View [[http://​patrickjmt.com/​solving-linear-absolute-value-equations-and-inequalities/​|Overview:​ Absolute value equations and inequalities]] 
- 
-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-ex-1/​|Abs value inequalities Example 1a]]  
- 
-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-more-ex-1/​|Example 1b]] 
- 
-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-ex-2/​|Example 2a]] 
- 
-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-more-ex-2/​|Example 2b]] 
- 
-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-ex-3/​|Example 3]] 
- 
-8-O {{:​people:​mckenzie:​absolute_value_wrap_up.pdf|Absolute Value Wrap up}} 8-O 
- 
-Heads up: there will be a quiz on Ch 7 and 11 on either Thurs or Fri.  
- 
-Read Sec 11.1.  
- 
-View [[http://​patrickjmt.com/​solving-a-linear-system-of-equations-using-elimination-by-addition/​|Solving linear systems by elimination method]] 
- 
-Do Sec 11.1 #1 a b d, 2 a, 4-6 all parts 
- 
-{{:​people:​mckenzie:​math108_quiz7_abs_val_and_systems.pdf|Take home quiz}} handed out today, due tomorrow! The one linked here includes a question 3 b, which I deleted in the handout to fit whole quiz on one page. Tonight'​s reading and videos are topics on the quiz, so you do need to do this 'open book'. 
- 
-Read Sec 11.2 (to help you with the quiz!) ​ 
- 
-View [[https://​www.youtube.com/​watch?​v=6oehycq06vo|Solving systems of inequalities]] 
- 
-[[https://​www.youtube.com/​watch?​v=6oehycq06vo|Solving (graphing) systems of inequalities]] ​ 
- 
-Do Sec 11.2 #2 a d g h 
- 
-Read 10.1  
- 
- 
----- 
-Week 10 
- 
----- 
- 
- 
-Do p 348 Sec 10.1 #1, 2, 3 and first three sections of questions on {{:​people:​mckenzie:​solving_exp_and_log_equations.pdf|Solving exp and log equations}} 
- 
-Even more practice on first set of questions on p 5 of {{:​people:​mckenzie:​solving_exponential_equations_including_without_using_log_.pdf|Alternate text pdf}} 
- 
-Read Sec 10.2  
- 
-View [[https://​www.youtube.com/​watch?​v=AAW7WRFBKdw|Properties of logarithmic functions]] 
- 
-Study for short answer quiz based on first three sections of questions on the pdf {{:​people:​mckenzie:​solving_exp_and_log_equations.pdf|Solving exp and log equations}} up through Exercise 6. 
- 
-See this page for  {{:​people:​mckenzie:​solutions_to_solving_exp_and_log_equations.pdf|Solutions to "​Solving exp and log equations"​}} 
- 
-Do Sec 10.2  #1, 2, 3 a-g, 4, 7, 9, 10, 11 
- 
-[[https://​www.youtube.com/​watch?​v=M6f6dANVyxA|3 examples of solving exponential equations]] 
- 
-[[https://​www.youtube.com/​watch?​v=59j0ALU3N7k|Example solving logarithmic equations]] 
- 
-[[https://​www.youtube.com/​watch?​v=qILCTT6wPt4|Another example solving logarithmic equations]] 
- 
-{{:​people:​mckenzie:​exponential_equations_not_requiring_logarithms.pdf|Exponential problems not requiring logarithms}} 
- 
-Continue with problems Sec 10.2 #18, 19 a 20 b 21 a b 22, 23 
- 
-Finish the Sec 10.2 problems (we're caught up now). 
- 
-Read Sec 2.4 and view videos on sigma notation, which I will post soon. Also read my summary of stigma notation and finding finite sums  of a number sequence ​ 
- 
-{{:​people:​mckenzie:​sigma_notation_sec_2.1_notes.pdf|Sigma notation notes}} 
- 
-View the following, noting that the lecturer is using '​k'​ for the index rather than '​i'​ (both are common letters for this process): 
- 
-[[https://​www.youtube.com/​watch?​v=QlLTryrpjOU|Sum (sigma) notation]]  ​ 
- 
-[[https://​www.youtube.com/​watch?​v=XDQqHMHbpvQ|Sigma (summation) formula properties]]  ​ 
- 
-[[https://​www.youtube.com/​watch?​v=4bZbfW5Zr9s|Example of changing upper and lower bounds of a sum]] 
- 
-Here's a nice: [[https://​www.youtube.com/​watch?​v=Y2aK5JcrHh0|Summary of sigma notation]] 
- 
-Again, here are my notes on [[https://​www2.math.binghamton.edu/​lib/​exe/​fetch.php/​people/​mckenzie/​sigma_notation_sec_2.1_notes.pdf|Sigma Notation]] 
- 
-Do p 60 #4 a b e k j l #3 a b c  Solutions are already posted on HW Solutions page for this section. 
- 
-Study for Exam 3. Ch 7, 10, 11, and Sec 2.4 8-O 
- 
- 
----- 
-Week 11 
----- 
- 
-Begin Trigonometry Unit. Read 8.1 and 8.2 CAREFULLY. ​ 
- 
-View [[https://​www.youtube.com/​watch?​v=aci0c0dtzGg|Converting degrees to radians]] 
- 
-[[https://​www.youtube.com/​watch?​v=XeI8EOZVwf0|Basic sine and cosine functions]] 
- 
- 
----- 
-Weeks 12-16 Trigonometry Unit (HW over the Spring Break) 
----- 
- 
-Using the video and examples in the book, do Sec 8.1 p 282 #1-6  
- 
-View AGAIN as needed [[https://​www.youtube.com/​watch?​v=XeI8EOZVwf0|Basic sine and cosine functions]] 
- 
-Do worksheets Trig worksheets: 
- 
-{{:​people:​mckenzie:​angles_and_angle_measure.pdf|Angle measure}} 
- 
-{{:​people:​mckenzie:​coterminal_angles_and_reference_angles.pdf|Coterminal and reference angles}} 
- 
-{{:​people:​mckenzie:​arc_length_and_sector_area.pdf|Arc length and sector area}} 
- 
-Here are videos to help: 
- 
-[[https://​www.youtube.com/​watch?​v=qgGFQXnuszk|Finding a reference angle]] 
- 
-[[https://​www.youtube.com/​watch?​v=GIMMX55C9iU|Finding quadrant an angle lies in]] 
- 
-[[https://​www.youtube.com/​watch?​v=3muPgXYC4AM|Finding arc length]] 
- 
-[[https://​www.youtube.com/​watch?​v=DQFa2CJj_No|Finding area of sector]] 
- 
-**Circle art assignment ** 
- 
-  * On //unlined// paper (copy paper is good), draw a //nice// circle (use a jar lid or compass, a straight edge for the rays). It should be no less than 6 inches. 
- 
-  * //Neatly// mark off with a //straight edge// and label //​accurately//​ the angles of 0, 30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330, 360. 
- 
-  * Next to each degree mark, write the pi radian equivalent, as discussed in class today. ​ 
- 
-  * Use different colors to mark off the different fractions of pi. Some colors might overlap. Don't stress on that! Just make the thirds different than the fourths and the sixths. 
-  
-The rest of the project will be explained on Thursday in class: 
- 
-  * In a corner, draw thumbnails of the five triangles. (Two of them look like line segments, the 0 and 90 degree base angle ones.) Label the sides with the appropriate 1,sq rt 3, sq rt 2. 
- 
-  * Next to that, fill in a small table of trig angles and sine, cosine and tangent ratios in quadrant I.  
- 
-Especially important tonight, please view: 
- 
-[[https://​www.youtube.com/​watch?​v=1I7Jp62sGXM|Trick to remember basic trig table]] 
- 
-[[https://​www.youtube.com/​watch?​v=R-vo8tSoFjI|Sign of trig functions in quadrants I, II, III, and IV]] 
- 
-Do Sec 8.2 p 283 #1-10 and Sec 8.3 p 284 #1-5 
- 
-Do worksheet {{:​people:​mckenzie:​exact_trig_values_of_special_angles.pdf|Trig ratios of special angles}}, handed out on Friday. 
- 
-View [[https://​www.youtube.com/​watch?​v=3GgO7Q_kg8Q|Deriving values of the unit circle]] ​ 
- 
-Then do make your own Unit Circle, either on the back of your circle art or on another sheet. The radius is 1 unit, so the (x, y) coordinates become (cos theta, sin theta). Fill in the points on the circle (as begun in class). ​ 
- 
-Especially important this weekend, view [[https://​www.youtube.com/​watch?​v=p6XJCozpxJs|Finding coordinates of the point on the unit circle where the terminal side of angle theta intersects the circle]]. ​ 
- 
-Read Sec 8.4 Do pp 284-285 #1-9. 
- 
- 
----- 
-Week 13 
- 
----- 
- 
-View [[https://​www.youtube.com/​watch?​v=qQOKUIrcuRs|UNWINDING THE UNIT CIRCLE TO GRAPH TRIG FUNCTIONS]] 
- 
-Read //​thoroughly//​ Sec 8.5.  
- 
-Memorize {{:​people:​mckenzie:​final_trigonometric_function_graphs.pdf|Basic graphs of trigonometric functions}} 
- 
-Know domains and ranges of sine, cosine and tangent functions. Be able to sketch these accurately. ​ 
- 
-do Sec 8.5 p 285 #2 a b d #3 a b #4 a b c 
- 
-Have you viewed [[http://​www.mathguide.com/​lessons2/​GraphingTrig.html|Graphing sine and cosine functions]] yet? Do so again before reading {{:​people:​mckenzie:​trigonometric_graphs.pdf|Graphing sine and cosine graphs and their transformations}} 
- 
-Then view the series of videos by Patrick on graphing trigonometric transformations:​ 
- 
-[[https://​www.youtube.com/​watch?​v=zjSgkoaL_5A|Transformations of trig graphs 1]] 
- 
-[[https://​www.youtube.com/​watch?​v=80c_F0-7ZxE|Transformations of trig graphs 2]]  
- 
-[[https://​www.youtube.com/​watch?​v=RzZyyIu9IvA|Transformations of trig graphs 3]] 
- 
-[[https://​www.youtube.com/​watch?​v=ijTIr-aykUk|Transformations of trig graphs 4]] 
- 
-{{:​people:​mckenzie:​trigonometry_quiz_2.pdf|Take-home,​ trig quiz 2}}.  
- 
-You may use your unit circles and notes, but not another person. 
- 
-Read Sec 8.6.  
- 
-As done in class today, practice drawing small graphs of the following. 
- 
-y = sin x on the closed interval [-pi/2, pi/2] 
- 
-y = cos x on the closed interval [0, pi] 
- 
-y = tan x on the closed interval [-pi/2, pi/2] 
- 
-You've drawn each fcn restricted to the portion of the domain where its inverse is defined, where the function is one-to-one. To the left of each graph, draw its inverse. Notice the x-axis is now the ratio and the y-axis is the angle. 
- 
-View [[https://​www.youtube.com/​watch?​v=bBBUMHe900U|Evaluating trig inverses]] 
- 
-Do Sec 8.6 p 286 #1-6. 
- 
- 
----- 
-Week 14 
- 
----- 
- 
-More practice on {{:​people:​mckenzie:​inverse_trig_functions_worksheet.pdf|Worksheet on evaluating inverse trig fcns}} Only do #1-30 
- 
-Finish up inverse functions. 
- 
-Read 8.7 and view [[https://​www.youtube.com/​watch?​v=IE8q4WRubC4|Proving a trig identity Example 1]] and [[https://​www.youtube.com/​watch?​v=4QmzqwQSt8A|Proving a trig identity Example 2]] 
- 
-Do p 288 #3 and //pages 1 and 2// of worksheet {{:​people:​mckenzie:​basic_8_identities_worksheet_pp_1-2.pdf|Basic trig identities}} 
- 
-Read Sec 8.8. See two video discussions. 
- 
-[[https://​www.youtube.com/​watch?​v=ZhvvkCa_60w|Angle sum and difference]] 
- 
-Do worksheet {{:​people:​mckenzie:​double_half_angle_identities.pdf|Double and half-angle identities}} 
- 
- 
----- 
-Week 15 
- 
----- 
- 
-Be sure to do the take-home quizzes for desk checks. 
- 
-Print these for tomorrow: 
- 
-{{:​people:​mckenzie:​nutley_high_school_solving_trig_equations_worksheet.pdf|Solving trig equations}} 
- 
-{{:​people:​mckenzie:​nutley_high_school_solutions_to_solving_trig_equations_worksheet.pdf|Solutions! to trig equations}} 
- 
-Have questions prepared for any and all of the worksheets for me to go over tomorrow (Tuesday). 
- 
-:!: Exam 4 is on Thursday. 
  
people/mckenzie/math_108_hw.1535215807.txt · Last modified: 2019/06/19 15:16 (external edit)