Math 180 Information: Syllabus Tentative Schedule
Spring '18 Section 0830 Room: MBA 309 Time: MTWTh 11:30am12:40pm
Announcements/Info: TI instructions
Final Exam Info: (Calculators allowed. Two, onesided, page of notes allowed for each part. You may reuse the same pages or use different ones for day 2. If you need a unit circle be sure it is included on ONE of these onesided pages of notes.)
Part I: [Ch 1, 2, 3, 4, 10]
Functions (includes evaluating, graphing, etc.): Piecewise defined, logs, exponential, inverses, Domain/Range, polynomial, rational, maximizing using quadratic equations
Systems of Equations (3x3 or larger)
Part II: [Ch 1, 2, 10, 11, 12, 5, 6, 7, 8]
Rate of change, increasing/decreasing intervals, Inductive Proof, partial fractions,
Trig, trig equations, parametric equations, complex numbers, polar form, Linear and angular velocity, harmonic motion, trig proof
Conic Sections
Grades are based on a points: (See syllabus for more details)
Homework = 40 points each Quizzes = 20 points eachExams = 300 points each Final Exam = 500 points Must earn 65% on final exam along with sufficient points in the course in order to pass.Grades will be rounded up if Final exam is the higher of the two grades AND 80% of HW and CA have been completed. Tentative Schedule:
June M 4 Review
T 5 Final Exam Part 1 Ch 2, 3, 4, 10, 11
W 6 Review HW Packet 5 Due
Th 7 Final Exam Part 2 Ch 2, 10, 12, 5, 6, 7, 8
Assignments:
Instructions for video portions of the assignments: Take notes while watching the videos. Be sure to write the TITLE of each video above EACH of your video notes and write the definition/description of the main concepts. Turn this in with your HW.
Instructions for Vocabulary: Make a list of pertinent vocabulary for EVERY section of HW that you turn in, even though it will not list this on the daily HW assignment. Do this for each NEW section covered in the HW. Be sure to label what section EACH vocabulary is from. (You do not need to redo vocabulary for sections already covered on previous HW.)
General HW instructions Be sure to read the general HW instructions to avoid losing points.
HW Packet 1 ; HW Packet #2; HW Packet 3; Packet 4:
Packet 5
5/17
Video: harmonic motion example;
5.3 37, 49, 51
5.5 3, 7, 33, 37 (inverse trig functions)
5.6 5, 13, 41ac only (harmonic motion)
Ch 6 Test (pg 532): 13, 14
Ch 2 Review (pg 231234) 54
3.1 #53 (maximizing)
5/21
Videos: (These are worth the time to go over. It is ok to fast forward if you can go faster than her, but be sure to listed to her explanations of the incorrect proofs.)
7.1 11, 15, 17, 19
7.2 3, 15, 25, 29
5.3 35
5.6 19, 29, 33, 43
pg 320 #20, 81
5/22
7.3 3, 5, 29a
7.4 5, 11, 27
5.5 35, 36, 39, 41
5.6 15
7.1 9, 37, 49
5/23
8.1 5, 11, 17, 19, 25, 27. 51, 53
7.4 19, 39, 41
3.6 74
2.1 33
Ch 2 Review (pg 232): 13
5/24
8.1 29, 37, 41, 47, 55, 59,
8.4 3b, 5b, 13b
Videos: Intro to the history of complex numbers and the fundamental theorem of Algebra(part 1); Complex numbers (part 5); complex plane  (part 6); polar form (part 7); These videos provide a quick review of complex numbers along with their interesting history. (I skipped parts 2, 3 & 4 for times sake but you can watch those also if you want.) What is really useful about these videos is that he shows how the complex numbers come from the fundamental theorem of Algebra and how they work naturally in polar form, which is what we will be working with this week. Take the time to watch these four videos.
1.6 21, 29 (complex number practice.... if you need more review, try a few more of the problems.)
7.2 7
7.4 33, 47
Ch 2 Review (pg 2324): 53, 96. 97
Ch 3 Review: 81, 85 (graphing rational functions)
5/29
8.3 33, 35, 37
7.2 17, 27
5.6 17
8.1 31, 57
8.4 9b, 16b
5/30
1.9 85, 89, 97
8.3 43, 47
8.4 7b, 14b, 38
11.2 2, 5, 8 29
2.2 85 (piecewise defined)
Ch 4 Review (pg 389): 22, 74, 97 (logs/exponentials)
5.6 1, 3
5/31
11.2 7, 15 (just find vertices and foci for part a, then do b & c) 31
11.3 4, 5, 7, 9, 17
Ch 10 Review (pg 770): #35, 87
Ch 4 Review (pg 389): 29, 31, 33, 52, 70 (Be sure you can do problems like 2933 WITHOUT your calculator because the exam questions will have variables instead of numbers so you won't be able to just plug it in your calculator..)
Ch 2 Review (pg 232): 16, 17, 54 (even problems are in the back for Ch reviews)
6/4 & 6/5 Final Problems for HW packet 5 
10.7 43
11.2 21
11.3 19
11.4 7, 11, 49
pg 528530  ch 6 Review  63, 80
pg 578  Ch 7 review  3, 6, 29
pg 6213  Ch 8 Review: Concept Check (pg 621) 1abcde ; Exercises (pg 622623): 15 (do not graph), 18 (do not graph), 29, 30 33, 43b, 45b
pg 891  Ch 12 Review  67
These problems are not allinclusive of what is on the final but do provide a good variety of the types of problems. Be sure to do all the problems from the beginning of this packet for a more thorough preparation for the final. We will also be doing review sheets during class on Monday and Wednesday to provide more opportunity for review. Bring HW questions to my office hours as class time for Hw questions will be limited.
OTHER VIDEOS for further study:
Ch 2
2.6 Great quick video about reflections, compressions and stretches of graphs
Ch 3
Longhand division of polynomials video 1, video 2, video 3
Videos: Synthetic division of polynomials
Graphing polynomial functions
Finding Zeros and their multiplicity
How to think through finding zeros of polynomials
End behavior of polynomial graphs
Domain and Range from a Graph
Rational Zero Theorem
Finding all zeros of polynomial
Descartes' Rule of signs
Secondary Descartes' rules of signs video
Upper and lower bounds for zeros of polynomials
Ch 4
Finding equation of exponential using the graph
Graphing basic logarithmic Equations
4.3 Graphing Logs with asymptotes, transformations (5:53)
Basic Concept of logarithms
Fundamental properties of logs
Sum and Product rules of logs
Change of base formula
Understanding log in "real world:
4.7 Richter Scale; 4.7 PhScale
Ch 5
Simple harmonic motion explained on unit circle;
harmonic motion example; harmonic motion example;
Ch 6
law of cosines finding a side, finding an angle
Ch 7
Ch 8
Videos: Intro to the history of complex numbers and the fundamental theorem of Algebra(part 1); Complex numbers (part 5); complex plane  (part 6); polar form (part 7); These videos provide a quick review of complex numbers along with their interesting history. (I skipped parts 2, 3 & 4 for times sake but you can watch those also if you want.) What is really useful about these videos is that he shows how the complex numbers come from the fundamental theorem of Algebra and how they work naturally in polar form.
Intro to Complex numbers and their uses(part 1)
Ch 10
Evaluating 2x2 determinant
Intro to Gaussian Elimination
10.7  Partial Fractions
partial fractions in 5 min
partial fractions as used for calculus (in class)
Quadratic factors
repeated linear factors
identifying types of partial fractions
coverup rule for quick partial fractions
Other possible videos:
Video: complex numbers in the trig form (24 minutes)
rectangular to trig form,.
trig to rectangular form
