Mth151 - Precalculus (Dr. Hasenbank)

Welcome to Dr. Hasenbank's Mth151 page.

Catalog course description: A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry; theory of equations; the logarithmic, exponential, trigonometric, and inverse trigonometric functions; and analytic trigonometry. Prerequisite: MTH 150 or two years of high school algebra and an appropriate placement test score. Successful completion of MTH 151 precludes taking MTH 150 for credit. Successful completion of MTH 207 precludes taking MTH 151 for credit.

News and Updates

See the Homework and Handouts table below to download or print the syllabus, calendar, and all homework sets and class notes.
Need Help? There are numerous resources that can help you succeed in Mth151:
- Meet with me (either during scheduled office hours or make an appointment.)
- Send me an email -- I check it fairly regularly until 5:00pm and then again at 9:00pm.
- Get free tutoring / homework help in the Math Learning Center (starts Mon. 9/14).
- Attend the weekly Mth151 Help Sessions.
- Review Dr. Peirce's Podcasts of Mth151 Content.
- Review my podcasts of all homework problems presented to date.
- Hire a private tutor (inquire in the Math Office -- Cowley 1020).
- NEW (10/9/09): Learning objects for algebra skill review (with podcasts) for Ch 1 - 5 of your text.

Homework and Handouts -- Hit Refresh (F5) To View Most Recent --

Click here for podcasts of all presented homework problems.

GeoGebra Files Used in Class

GeoGebra is a free program that combines geometry, algebra, and calculus features into one nicely integrated package. Here are a few files I've used this semester. You can download GeoGebra (or just run it directly from the web) by going

Week	Homework / Tasks / Handouts
Week 1	Tue 9/8: Syllabus, Calendar, Notes.pdf Did you find Dr. Peirce's podcast link above? Homework: Sec. 3.4 #1-7, 11-13, 17-21, 25, 29, 35-41; Present tomorrow (Alpha group): 3.4 #11, 25, 35. Wed. 9/9: Notes.pdf; Homework: 3.4 cont. #47-53, 65, 69-73; Present tomorrow (Beta group): 3.4 #49, 51, 73 Thu. 9/10: Notes.pdf Homework: 3.5 #1-7, 11, 12, 13, 15, 18, 19, 25, 27-39, 41acegikl, 43-49, 53, 65, 69 Present Monday (Gamma group): 3.5 #41g.i.l., 49, 69
Week 2	Mon 9/14: Notes.pdf HW 3.6 #1, 7, 9, 13, 15, 19, 23-33 Present tomorrow (Delta group): 3.6 #9, 19, 33 Tue 9/15: Notes.pdf HW 3.6 cont. #37, 39, 45-49, 56 Present tomorrow (Epsilon group): 3.6 #39, 45, 56 Wed. 9/16: Notes.pdf HW 3.7 #1-5, 9, 11, 21, 31, 37, 41, 45, 49 Present tomorrow (Zeta group): 3.7 #5, 21, 37 Thu. 9/17: Notes.pdf HW 4.5 #1, 2, 3, 15, 21, 31 Present Monday (Alpha group): #3, 15, 31 (find asymptotes & holes only)
Week 3	Note: The HW schedule for this week was adjusted on Fri. 9/18/09. Mon 9/21: Notes.pdf HW 4.5 #15, 21, 31 (from Thu.) plus #5, 45, 47 Present tomorrow (Beta): #5, 45, 47 Tue 9/22: Notes.pdf HW 5.1 #1-7, 11, 17, 19, 25-29, 35 Present tomorrow (Gamma): #5, 19, 29 Wed 9/23: Notes.pdf HW 5.2 #1-7, 13, 14, 15, 17, 25, 27, 33, 34, 37,41,42,45 Present tomorrow (Delta): #7, 13, 42 Thu 9/24: Notes.pdf HW 5.3 #1-4 all, 5-15, 19-23, 26, 31, 35 Present Monday (Epsilon): #11, 15, 21
Week 4	Mon 9/28: Notes.pdf HW 5.4 #1-19, 25, 29, 31, 35adeij, 37, 43, 45-49all, 63, 64 Present tomorrow (Zeta): #31, 35j, 46 Exam 1 Review: Complete these Podcast Problems to Date.pdf Tue 9/29: Notes.pdf HW 5.5 #1-9, 13, 17, 23, 25, 29, 31, 33, 35, 39, 56 And 5.6 #1-5, 11, and 25 Present tomorrow (Alpha): #25, 29, 56 Wed 9/30: Review Day (Notes.pdf) Thu 10/1: Exam 1 (Here are the Exam 1 Solutions.pdf)
Week 5	Mon 10/5: Notes.pdf HW 6.1 #1, 3, 9-15, 31, 37, 39, 41, 43 Present Tomorrow (Beta): #31, 37, 41 Tue 10/6: Group Worksheet on Trig Functions.pdf (ans.pdf) HW 6.2 #1-5, 9-15, 17, 21, 25, (29, 31 -- use a calculator, watch your Mode), 71, 73. Present Tomorrow (Gamma): #21, 25, 73 Wed. 10/7: Notes.pdf HW 6.2 cont. #35, 37, 41-45, 53, 57-73 (odd), and #64 Present Tomorrow (Delta): #59, 64, 71 Thu. 10/8: Notes.pdf HW 6.3 #1-17, 21, 23, 39-45 Present Monday (Epsilon): #15, 23, 39
Week 6	Mon 10/12: Notes.pdf Worksheet: Graphs of the Six Trig Functions.pdf Handout: Verify the Identity - scoring codes.pdf HW 6.3 #51-57, and... HW 6.4 #1-17, 43, 44 Present Tomorrow (Zeta): 6.3 #53; 6.4 #43, 44 Tue 10/13: Notes.pdf HW 6.4 #35abc and 6.5 # 1, 5, 7, 11, 19, 21, 33, 35, 41-47 (odd) (Problems not underlined above may wait until Wednesday) Present Tomorrow (Alpha): 6.4 #35a, 35c; and 6.5 #21 Wed 10/14: Notes.pdf 6.5 # 1, 5, 7, 11, 19, 33, 35, 41-47 (only graph those with ) Present Tomorrow (Beta): 6.5 #19, 33, 43 Thu 10/15: Notes.pdf HW 6.5 #23, 37* (yes, graph them), 49, 51, 53, 55* Present Monday (Gamma): #37, 53, 55
Week 7	Mon. 10/19: Notes.pdf HW 6.6 #1, 5, 9, 11, 31, 49, 55, 57, 61, 63, 65 Present Tomorrow (Delta): #31, 49, 63 Tue. 10/20: Notes.pdf Sec. 6.7 #1-5, 9, 11, 17, 19, 25, 33, 39, 71, 73 Present Tomorrow (Epsilon): #11, 33, 39 Wed. 10/21: Notes.pdf - Review day - Compilation of Podcast Problems for Review.pdf Thu. 10/22: Exam 2 (Exam 2 Solutions.pdf)
Week 8	Mon. 10/26: Notes.pdf HW 7.1 #1-7, 8, 9, 13, 15, 17, 31, 43, 47, 51, 57 Present Tomorrow (Zeta) #13, 15, 51 Tue. 10/27: Notes.pdf HW 7.1 cont #17, 23, 37, 49, 59, 65-73 Present Tomorrow (Alpha) #53, 67, 71 Wed. 10/28: Notes.pdf HW 7.2 #1, 3, 7-11, 19-23, 39, 45, 47, 58 Present Tomorrow (Beta) 7.2 #23, 47, 58 Thu. 10/29: Notes.pdf HW 7.2# 13-17, 45, 49, 51, 61, 63 (*round to nearest 0.1^o) Present Monday (Gamma) 7.2 #37, 51, 61
Week 9	Mon 11/2: Notes.pdf HW 7.3 #1-13, 17, 23-27, 31, 35-39, 53 Present Tomorrow (Delta): #7, 17, 37 Tue 11/3 (Quiz today on 7.2): Notes.pdf HW 7.4 #1-17 (odd), 25, 33, 37 Present Tomorrow (Epsilon): 7.4 #7, 11, 25 Wed 11/4 (Quiz today on 7.3): Notes.pdf HW 7.5 #1-21 (odd), 27-31 (odd) HW Ch 7 Review p. 496: #28-36 (all) Present Monday: (Zeta): 7.5 #5, 13, 31 Also Present Monday (Alpha): Ch.7 Review #29, 30, 33 Thu 11/5: (No class due to instructor travel to the NCTM Regional Conference in Minneapolis!) Do review problems provided on Wednesday in lieu of class. Use the tutor center to get your questions answered, as needed.
Week 10	Mon 11/9: Notes.pdf Note: double presentations today (Zeta on Sec. 7.5 and Alpha on Ch. 7 Review) HW 7.6 # 1-19 odd, 23, 27, 47 Present Tomorrow (Beta): 7.6 #17b, 23, 27 Tue 11/10: Notes.pdf 7.6 #21, 33, 35, 37, 43, 45, 49, 53, 55 Present Tomorrow (Gamma): 7.6 #43, 49, 53 Wed. 11/11: Review Day: Notes.pdf For Review: Compiled Quiz Problems with Answers.pdf New (11/10): Selected HW Solutions from Ch 7.pdf Also for Review: Presented problems from Ch. 7: 7.1 #13, 15, 51, 53, 67, 71 7.2 #23, 47, 58, 37, 51, 61 7.3 #7, 17, 37 7.4 #7, 11, 25 7.5 #5, 13, 31 Ch.7 Review #29, 30, 33 7.6 #17b, 23, 27, 43, 49, 53 Thu. 11/12: Exam 3 (covers Ch. 7) (Exam3 Solutions.pdf)
Week 11	Mon 11/16: Notes.pdf, Leaning Tower Problem.pdf (due Tuesday at latest) 8.1 #1, 3, 7, 9, 11, 17, 19, 21, 26, 27 Present Tomorrow (Delta): 8.1 #7, 9, 17 Here's a podcast with a note about the Leaning Tower problem (#26) Tue 11/17: Notes.pdf 8.1 #25, and 8.2 #1, 3, 5, 7, 11, 15, 18, 19, 21, 29* hint: use the half-angle formula sin(t/2) = √[(1-cos(t))/2] Present Tomorrow (Epsilon): 8.2 #7, 11, 21 Wed. 11/18: Notes.pdf, Group Quiz on Laws of Sines and Cosines.pdf Ch. 8 Review #5, 7-10 (all), 47 Present Tomorrow (Zeta): Ch 8 Review #8, 9, 47 Note -- we'll be heading to Sec. 8.5 on Thursday. Thu. 11/19: Notes.pdf 8.5 #1-5, 9-13, 17-23, 29-33, 39, 43, 47, 49, 53, 57, 61, 63 Present Monday (Alpha): #23, 49, 57
Week 12	Mon 11/23: Notes.pdf Present tomorrow (Beta): #5, 8, and 9 from this Worksheet.pdf. Worksheet answers.pdf - Tomorrow's lecture will make a lot more sense if you work tonight to come to your own understanding of the answers to this worksheet! Tue 11/24: Notes.pdf 8.6 #1, 3, 9, 11, 13, 15, 17, 19, 23 Present Monday (Gamma): 3, 19, 23
Week 13	Mon 11/30: Review Worksheet – Mth151 Exam 4 (Fall 2009) Tue 12/1: Exam 4 (Exam4 Solutions.pdf - Contains error on #5!) Wed. 12/2: Notes.pdf Sec. 11.1 #1-5, 9, 13-19, 43, 45 Present tomorrow (Delta) #5, 9, 43 Thu. 12/3: Notes.pdf Sec. 11.2 #1-5, 9, 11, 15, 19-23, 37, 47, 52, 53 Present Monday (Epsilon) #11, 37, 47
Week 14	Mon 12/7: 11.1 & 11.2 continued -- workshop day (you'll be given a task to complete in small groups, which you will turn in for a grade; if you must miss class, you may do the problems individually.) Notes.pdf (Also note, there is a quiz tomorrow on 11.1 & 11.2; there will not be a round of presentations tomorrow. If you were absent today, you need to complete the Group Quiz on your own, due Tuesday in class. Answers to the group quiz: Orbits Quiz Answers.pdf Annenberg media video on what causes the seasons (turn off your pop-up blocker!): http://www.learner.org/resources/series28.html?pop=yes&pid=9# Group Quiz on planetary orbit (an application of Sec. 11.2 - Ellipses) Tue 12/8: 11.3 (Hyperbolas) Notes.pdf HW 11.3 #1-5, 9, 15-25, 61, and 33-41 (quick) (remember, odds only) Present Tomorrow (Zeta): #9, 15, 61 Wed. 12/9: SNOW DAY! Final Exam Areas of Emphasis.pdf - should help as you begin to review for the cumulative final exam. Note, the Final Exam is scheduled for Saturday Dec. 19 at 4:45pm. Thu. 12/10: 11.5 (Polar Coords) Notes.pdf Quiz today on Sec. 11.2 (quite possibly including problems like the planetary motion group quiz from Monday). HW 11.5 #1-15 (odd), 21, 27-31 (all), and 36 Present Monday (alpha): #21, 29, 36
Week 15	Mon. 12/14: 11.5 (graphing polar equations) Notes.pdf HW 11.5 #45, 47, 51, 53, 73 Present tomorrow: (beta) #49, 51, 53 Tue. 12/15: 11.6 (Polar Conics) Notes.pdf; Podcasted follow-up on ellipses HW 11.6 #1-7 odd Present tomorrow (gamma) #3, 5, 7 Wed. 12/16: Review for Final Exam. Thu. 12/17: NO CLASS -- First day of Final Exams
Final Exam Study Aids	Final Exam is Saturday at 4:45pm in Wimberley 141. List of topics for Final Exam: FinalExamEmphasis.pdf Exam 1 (e1blank.pdf) (e1ans.pdf) (e1reviewprobs.pdf) Exam 2 (e2blank.pdf) (e2ans.pdf) (e2reviewprobs.pdf) Exam 3 (e3blank.pdf) (e3ans.pdf) (e3somehwsolutions.pdf) Exam 4 (e4blank.pdf) (e4ans.pdf) (e4reviewprobls.pdf) Here are some additional review problems (questions.pdf, answers.pdf) Formulas sheet: (Exam Formulas.pdf) -- this will be provided for the final exam. Note: Product-to-sum formulas and sum-to-product formulas will be provided if needed. You will still need to memorize the unit circle. I will consider suggestions of items to include on this formula sheet -- feel free to ask!