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Course Assignments

Class Date Assignment  
Tuesday, Jan. 12
 		 Handouts: Ferris Wheel  (See pictures of the London Eye: 1  2)
                Syllabus and General Course Information

Due: Thursday, Jan. 14
Read: General Course Information, the Syllabus, and Section 7.1 and 7.2
Do:     Section 7.1 -- your choice of 1-17, 23-34 as needed (for practice, not for hand-in).
           and purchase a TI-83 Plus/TI-84 Plus or equivalent and an eHW access code if necessary.
           Note: the access code is good for one year.

Prepare for QUIZ 1 next Tuesday, Jan. 19 over prerequisite skills.
Thursday, Jan. 14 Due: Tuesday, Jan. 19
Read: Section 7.3
Do:     Section 7.2 -- 1-31, 33-35 (for practice, not for hand-in).

Prepare for QUIZ 1   Tuesday, Jan. 19 over prerequisite skills.

Due Thursday, Jan. 21, 11:59 pm: E-HW 0 General Course Information and Using eHW
Due Thursday, Jan. 21, 11:59 pm:  E-HW 01 Sections 7.1 - 7.2
Due Tuesday, Jan. 26, 11:59 pm:  E-HW 02 Section 7.3
Tuesday, Jan. 19 Took QUIZ 1 over prerequisites.
Defined radian measurement. Suppose the vertex of an angle θ is at the center of a circle of radius r, and the angle spans an arc of length s.  The measure of the angle θ  in radians is defined as the ratio of the arc length, s, to the radius r (See figure). It follows that an angle of 360° spans an arc length of the circumference of the circle, s = 2πr, so this angle has a radian measure of = s / r = 2πr / r = 2π. Consequently 180° is equivalent to π radians, which is a handy conversion factor. We looked at converting angles from degrees to radians and vice versa, with and without a calculator. Finally, we looked at some applied questions where we were asked to find the arc length if given the angle (in degrees) and the radius. It is paramount to convert θ from degrees to radians first before applying the relationship s = r*θ, since this only holds if θ is in radians.
Read: Chapter 7 Skills Refresher
Do: Section 7.3 -- 1-56 as desired

Suppose a central angle θ  in a circle of radius r spans an arc of length s. Measure how many radius lengths that the length of the arc is.  This number of radius lengths is the radian measure of the angle θ: we have rθ = s.

Due Thursday, Jan. 21, 11:59 pm: E-HW 0 General Course Information and Using eHW
Due Thursday, Jan. 21, 11:59 pm:  E-HW 01 Sections 7.1 - 7.2
Due Tuesday, Jan. 26, 11:59 pm:  E-HW 02 Section 7.3
 Due Thursday, Jan. 28 - Writing Assignment 1: Bug on a Square Track
Thursday, Jan. 21

Today:  Special Angles
Read: Section 7.4
Do: Skills Refresher for Chapter 7  -- 1 - 32
Due Tuesday, Jan. 26, 11:59 pm:  QUIZ 2 over 7.1 and 7.2

Due Thursday, Jan. 21, 11:59 pm: E-HW 0 General Course Information and Using eHW
Due Thursday, Jan. 21, 11:59 pm:  E-HW 01 Sections 7.1 - 7.2
Due Tuesday, Jan. 26, 11:59 pm:  E-HW 02 Section 7.3
 Due Thursday, Jan. 28 - Writing Assignment 1: Bug on a Square Track
Tuesday, Jan. 26 Handout: Unit circle with exact values
We worked some problems from Writing Assignment 2 on finding angles in radians (exactly).
We discussed the domain, range, period, and amplitude of y = sin(x) and y = cos(x) and how these can be determined from the unit circle.

We looked at an outside change to the function, which results in the original function being transformed vertically (change to the output).

  1. y = Asin(x) and y = Acos(x) have amplitude |A|. 
    For A > 0, 
    the graph of y = Asin(x) vertically stretches or compresses the graph of  y = sin(x) by A units.
    the graph of y = –Asin(x) is a vertical reflection of the graph of y = Asin(x).
    Similarly the same holds for y = cos(x).  
    (See Section 6.1 and 6.2  for a review of these topics.)

  2. y = sin(x) + k and y = cos(x) + k have midline k.
    For k > 0, 
    the graph of y = sin(x) + k vertically shifts the graph of y = sin(x) up k units.
    the graph of y = sin(x) – k vertically shifts the graph of y = sin(x) down k units.
    Similarly the same holds for y = cos(x).  
    (See Section 2.4 for a review of these topics.)

The first multiplies the output by a quantity; the second adds/subtracts a quantity to the output.

Due Thursday, Jan. 28:
Read: Section 7.5
Do: Section 7.4 -- 1-24, 26-30, 34-38 and Chapter 7 Review 14a, 14d, 19-24, 51, 52, 69-71
Due Tuesday, Jan. 26 (tonight), 11:59 pm:  E-HW 02 Section 7.3
Due Thursday, Jan. 28: Writing Assignment 1: Bug on a Square Track
Due Tuesday, Feb. 2, 11:59 pm: Writing Assignment 2: What's My Angle?
Thursday, Jan. 28

For the function y = AsinBx + k or y = AcosBx + k
we explored the effects of  B on the period to find that,
for positive values of B, this graph has a period of  2π/B, an amplitude of  |A|, and midline which is y = k.

For Tuesday, Feb 2
Read: Section 7.5 and, if needed, Sections 2.4, 6.1, 6.2
Do: Section 7.5 -- 1-12, 21-26 and prepare for QUIZ 3 over Section 7.3 and Ch 7 Skills Refresher
Also due Tuesday, Feb. 2, 11:59 pm: Writing Assignment 2: What's My Angle?
Tuesday, Feb. 2 Today:  QUIZ 3 over 7.3 and Chapter 7 Skills Refresher
Continued Section 7.5. If given a graph, find the midline, period, amplitude, and the horizontal and phase shifts. When specifying horizontal and phase shift, include whether it is regular sine or cosine (or upside down versions of these), whether it is shifted left or right, and by how much.

Little is it known that Groundhog Day stems from Candlemas, a European feast which marks a special point between the Winter Solstice and the Vernal Equinox.
If Daylight Hours vs. Time were modeled as an inverted cosine graph but over an interval of [0, 2π], then today would roughly correspond to π/6! 

Adapted from Duration of Daylight Tables

Read:  Section 7.6 and 7.7
Do: Section 7.5 -- 27-31, 37, 38, 44-50

Due Tuesday, Feb. 9, 11:59 pm:

  • E-HW 03 Section 7.4 and 7.5
  • Writing Assignment 3: Trig Graphs
Thursday, Feb. 4 Today: The Tangent Function
Read: Section 7.7
Do: Section 7.6  -- 1-20

Tuesday, Feb. 9: QUIZ 4 over 7.4 and 7.5

Also due Tuesday, Feb. 9, 11:59 pm:

  • E-HW 03 Section 7.4 and 7.5
  • Writing Assignment 3: Trig Graphs
Test 1 next week. See review sheet. This is in the folder Reviews for Exams on Blackboard.
Tuesday, February 9 Today: The Reciprocal Functions, the Pythagorean Identity, and Inverse Functions

Read: Section 8.1
Do: Section 7.7  -- 1-20 and Section 7.8 -- 1-33

Due Tuesday, Feb. 9 (tonight), 11:59 pm:  E-HW 0 3 Section 7.4 and 7.5
Due Tuesday, Feb. 16, 11:59 pm:  E-HW 04 Section 7.6 -7.8

 Test 1 this week. See review sheet. This is in the folder Reviews for Exams on Blackboard.
Wednesday, February 10

You can take Test 1 in the Math Test Center (KT G18) today, Wed., Feb. 10 from  9:00 AM - 7:00 PM.
(It closes at 8:00 pm)
Thursday, February 11 No class meeting, but a review session, same time and place as when we have class.. (See Review sheet on BB in the folder Reviews for Exams.)

You can take Test 1 in the Math Test Center (KT G18) today, Thurs., Feb. 11,  9:00 AM-7:00 PM
(It closes at 8:00 pm.)
Friday, February 12 You can take Test 1 in the Math Test Center (KT G18) today,  Fri., Feb. 12,  9:00 AM - 3:30 PM
(It closes at 4:30 pm.)
This is the last day to take the test.
Tuesday, February 16 Today: Right Triangle Trigonometry with SohCahToa and Pythagoras
           Non-Right Trigonometry with the Law of Sines
Read: Section 8.1 and 8.2
Do: Section 8.1  -- 1-47 as desired and Section 8.2  -- 1-5, 7, 8, 32 - 35, 37, 41

Due Tuesday, Feb. 16, 11:59 pm:  E-HW 04 Section 7.6 -7.8
Due Tuesday, Feb. 23, 11:59 pm:  E-HW 05 Section 8.1 Right Triangle Trigonometry
Due Tuesday, Feb. 23: Writing Assignment 4: The Golden Arch

 Thursday, Feb. 18: QUIZ 5 over Section 7.6-7.8
Thursday, February 18 Today: The Law of Cosines and the Ambiguous Case of the Law of Sines
Do: Section 8.2  -- 6, 9-31,36,40, 42-44, 47, 48

Due Tuesday, Feb. 23, 11:59 pm:  E-HW 05 Section 8.1 Right Triangle Trigonometry
Due Thursday, Feb. 25, 11:59 pm: E-HW 06 Section 8.2 Law of Sines and Cosines

Due Tuesday, Feb. 23: Writing Assignment 4: The Golden Arch
Due Tuesday, March 1:  Writing Assignment 5: The Law of Sines and Cosines to the Rescue
Tuesday, February 23 Today: Polar Coordinates, Identities and Equations
Do: Section 8.3  -- 1-22 and Section 9.1 -- 1-30, 38, 39, 41 and 9.2 -- 9-12

Due Tuesday, Feb. 23, 11:59 pm:  E-HW 05 Section 8.1 Right Triangle Trigonometry
Due Thursday, Feb. 25, 11:59 pm: E-HW 06 Section 8.2 Law of Sines and Cosines
Due Tuesday, March 1:  E-HW 07 Section 8.3 Polar Coordinates

Due Tuesday, March 1:  Writing Assignment 5: The Law of Sines and Cosines to the Rescue

 Thursday, Feb. 25: QUIZ 6 over Section 8.1-8.2
Thursday, February 25 Due Tuesday, March 3: E-HW 06 Section 8.2 Law of Sines and Cosines
Due Tuesday, March 3:  E-HW 07 Section 8.3 Polar Coordinates
Due Tuesday, March 1:  Writing Assignment 5: The Law of Sines and Cosines to the Rescue
Tuesday, March 1 Today: Double Identities and Trig Equations
Do: Section 9.2 --  13, 15, 27 - 30, 35, 54 - 58

Due Tuesday, March 3: E-HW 06 Section 8.2 Law of Sines and Cosines
Due Tuesday, March 3:  E-HW 07 Section 8.3 Polar Coordinates
Due Tuesday, March 15:  E-HW 08 Section 9.1 and 9.2
Test 2  begins this week. See review sheet. This is in the folder Reviews for Exams on Blackboard.
Tuesday, March 1 Today: Double Identities and Trig Equations
Do: Section 9.2 --  13, 15, 27 - 30, 35, 54 - 58

Due Tuesday, March 3: E-HW 06 Section 8.2 Law of Sines and Cosines
Due Tuesday, March 3:  E-HW 07 Section 8.3 Polar Coordinates
Due Thursday, March 17:  E-HW 08 Section 9.1 and 9.2
Test 2  begins this week. See review sheet. This is in the folder Reviews for Exams on Blackboard.
Wednesday, March 2 You can take Test 2 in the Math Test Center (KT G18) today, Wednesday, March 2 from  9:00 AM - 7:00 PM.  (It closes at 8:00 pm)
Thursday, March 3 No class meeting. You may choose to take Test 2 or, optionally, attend a review session which runs from 9:00 AM - 11:45 AM
You can take Test 2 in the Math Test Center (KT G18) today, Thursday, March 3 from  9:00 AM - 7:00 PM.  (It closes at 8:00 pm)
Friday, March 4 You can take Test 2 in the Math Test Center (KT G18) today,  Fri., March 4,  9:00 AM - 3:30 PM  (It closes at 4:30 pm.)
Monday, March 14 Happy Pi Day
You can take Test 2 in the Math Test Center (KT G18) today, from  9:00 AM - 3:30 PM  (It closes at 4:30 pm.)
See the review sheet on BB in the folder Reviews for Exams.
Tuesday, March 15 Read: Section 10.1 and 10.2
Do: Section 9.3  --  1-8, 17 , 18 and Section 10.1 -- 4-25, 31, 37-50, 64, 65

You can take Test 2 in the Math Test Center (KT G18) today  from  9:00 AM - 3:30 PM  (It closes at 4:30 pm.)
See the review sheet on BB in the folder Reviews for Exams
Wednesday, March 16 You can take Test 2 in the Math Test Center (KT G18) today from 9:00 AM  - 7:00 PM.  (It closes at 8:00 pm)
This is the last day to take Test 2.
See the review sheet on BB in the folder Reviews for Exams
Thursday, March 17

Read: Section 12.1
Do: Section 10.2 -- 1-10, 12-34, 37-43, 47-49, 58, 82 and Section 12.1 -- 1-15
Due Thursday, March 17:  E-HW 08 Section 9.1 and 9.2
Due Thursday, March 24:  E-HW 09 Section 9.2-9.3, 10.1-10.2
Tuesday, March 22 Read: Section 12.2 and 12.3
Do: Section 12.1 -- 16-20, 24 and 12.2 -- 1-2, 4, 5, 8, 13-18, 21, 23, 25-27 and Chapter 12 Review -- 12, 29, 34, 35, 37
E-HW 09 Sections 9.1-9.3, 10.1-10.2 due 11:59 PM Tuesday, March 29
E-HW 10 Sections 12.1-12.2 due 11:59 PM Tuesday, March 29
E-HW 11 Section 12.3 due 11:59 PM Thursday, March 31

Due Thursday, March 31: Writing Assignment 6: Wilbur's Trough

Thursday, Mar.24: QUIZ 7 over 9.2 (Trig Equations) and 9.3
Thursday, March 24 Read: Section 13.1
Do: Section  Section 12.3 -- 1-14, 16, 17, 19 and Chapter 12 Review -- 12, 29, 34, 35, 37

E-HW 09 Sections 9.1-9.3, 10.1-10.2 due 11:59 PM Tuesday, March 29
E-HW 10 Sections 12.1-12.2 due 11:59 PM Tuesday, March 29
E-HW 11 Section 12.3 due 11:59 PM Thursday, March 31

Due Thursday, March 31: Writing Assignment 6: Wilbur's Trough
Tuesday, March 29 Read: Section 13.2
Do: Section 13.1 -- 1-48 and Section 13.2 -- 1-4, 11-21, 26-30, 42, 45
E-HW 09 Sections 9.1-9.3, 10.1-10.2 due 11:59 PM Tuesday, March 29
E-HW 10 Sections 12.1-12.2 due 11:59 PM Tuesday, March 29
E-HW 11 Section 12.3 due 11:59 PM Thursday, March 31
E-HW 12 Section 13.1  due 11:59 PM Tuesday, April 5

Thursday, Mar. 31: QUIZ 8 over 10.1, 10.2, 12.1-12.3
Thursday, March 31 Read: Section 13.2 and 13.3
Do: Section 13.1 -- 5-15, 34-37 and Section 13.2 -- 1-17, 20-25
E-HW 11 Section 12.3 due 11:59 PM Thursday, March 31
E-HW 12 Section 13.1  due 11:59 PM Tuesday, April 5
Tuesday, April 5 Today: Infinite Geometric Series
Read: Section 14.1 (Click on wiley.com/college/hughes-hallett)
Do: Section 13.4 -- 1-15, 24-26 and Chapter 13 Review -- 4-9, 24

E-HW 12 Section 13.1  due 11:59 PM Tuesday, April 5
E-HW13 Sections 13.2-13.4 due 11:59 pm., Tuesday, April 12

Thursday, Mar. 31: QUIZ 9 over 13.1-13.2
Due Thursday, April 14: Writing Assignment 7: Job Offer
Thursday, April 7 Today: Parametric Equations
Read: Section 14.1 (Click on wiley.com/college/hughes-hallett)
Do: Section 13.4 -- 1-15, 24-26 and Chapter 13 Review -- 4-9, 24

E-HW13 Sections 13.2-13.4 due 11:59 pm., Tuesday, April 12
E-HW14 Sections 14.1-14.2 due 11:59 pm., Thursday, April 14
E-HW15 Section 14.3 Ellipses  due 11:59 pm., Tuesday, April 19

Tuesday, April 12: QUIZ 10 over 13.3-13.4

Due Thursday, April 14: Writing Assignment 7: Job Offer
Tuesday, April 12 Today: Circles and Ellipses
Read: Section 14.3 (Click on wiley.com/college/hughes-hallett)
Do: Section 14.2 -- 1-26, 28, 29 and Section 14.3 -- 1-10, 11a, 18, 19

E-HW13 Sections 13.2-13.4 due 11:59 pm., Tuesday, April 12
E-HW14 Section 14.1-14.2 due 11:59 pm., Tuesday, April 19
E-HW15 Section 14.3 Ellipses due 11:59 pm., Tuesday, April 19

Due Thursday, April 14: Writing Assignment 7: Job Offer

 
Thursday, April 14 Today: Ellipses and Hyperbolas
Read: Section 14.3 (Click on wiley.com/college/hughes-hallett)
Do: Section 14.4 -- 1-4, 15, 16

E-HW14 Section 14.1-14.2 due 11:59 pm., Tuesday, April 19
E-HW15 Section 14.3 Ellipses due 11:59 pm., Tuesday, April 19
E-HW16 Section 14.4 Hyperbolas due 11:59 pm., May 1

See review sheet to prepare for Test 3 in the folder (Reviews for Exams)
 Covers: Sections 9.2-9.3, 10.1-10.2, 12.1-12.3. 13.1-13.4, 14.1-14.3 and Quiz 7, 8, 9, and 10 and your eHW assignments.
The test is scheduled outside of class in the Math Test Center (KT G18). There is no class meeting on Tuesday, April 19.
Walk in with any kind of photo ID and your graphing calculator to take the test during these times:
  • Fri., April 15 9:00 AM -3:30 PM (it closes at 4:30 pm)
  • Mon., April 18 9:00 AM -3:30 PM (it closes at 4:30 pm)
  • Tues., April 19 9:00 AM -3:30 PM (it closes at 4:30 pm)
  • Wed., April 20 9:00 AM-7:00 PM (it closes at 8:00 pm)
  • Thurs., April 21 9:00 AM-7:00 PM (it closes at 8:00 pm)
  • Fri., April 22 9:00 AM -3:30 PM (it closes at 4:30 pm)

No appointment is necessary. You can only take the test in one sitting. No notes or formula sheet, although one will be provided. You will have unlimited time to take it, constrained only by the hours of the test center. For example, arriving at 3:30 PM on Monday, Tuesday, or Friday or arriving at 7:00 PM on Wednesday or Thursday provides only one hour to complete the test (not recommended). 
Thursday, April 7 Today: Parametric Equations
Read: Section 14.1 (Click on wiley.com/college/hughes-hallett)
Do: Section 13.4 -- 1-15, 24-26 and Chapter 13 Review -- 4-9, 24

E-HW13 Sections 13.2-13.4 due 11:59 pm., Tuesday, April 12
E-HW14 Sections 14.1-14.2 due 11:59 pm., Thursday, April 14
E-HW15 Section 14.3 Ellipses  due 11:59 pm., Tuesday, April 19

Tuesday, April 12: QUIZ 10 over 13.3-13.4

Due Thursday, April 14: Writing Assignment 7: Job Offer
Tuesday, April 12 No class meeting.  Take Test 3. See review sheet on BB.
Math Test Center (KT G18) is open Thurs., April 21,  9:00 AM-7:00 PM (it closes at 8:00 pm)  to take Test 3.
At our regular class time we will have a  review session.
Thursday, April 14 Today: Hyperbolas cont'd) and Section 14.4) and Complex Numbers (Section 9.6)
Read: Section 9.6
Do: Section 14.4 -- 1-8, 15, 16

Pythagoras would have liked this:
http://www.ewao.com/a/1-nasa-discovers-stars-and-planets-give-off-music-heres-what-it-sounds-like/

E-HW 16 Sections 14.4 Hyperbolas due 11:59 PM Sunday, May 1
 You may earn credit for any past eHW assignments for a 10% late penalty but these also close 11:59 PM Sunday, May 1

Tuesday, April 26: QUIZ 11 on Section 14.4
Tuesday, April 26 Today: Why are Complex Numbers Important?
Videos (all optional):
Complex numbers take us out of our one dimensional world. This video shows where the function f(x) = x2 + 1 crosses the x-axis.
This video gives an entertaining history.
This video uses 3-D animations to show complex number arithmetic:
Here is one application involving AC circuits.
Do: Section 9.6 -- 1-23, 27, 36-39 and review for the final exam.

E-HW 16 Sections 14.4 Hyperbolas due 11:59 PM Sunday, May 1
 You may earn credit for any past eHW assignments for a 10% late penalty but these also close 11:59 PM Sunday, May 1

Thursday, April 28: QUIZ 12 on Section 9.6

Final Exam (Rest of Chapter 14, Section 9.6 and Comprehensive) for those who did not earn an exemption:
  • 9:00 Class: Tuesday, May 3, 8:00 a.m. – 10:00 a.m.  KT 243
  • 10:30 Class: Tuesday, May 3, 10:30 a.m. – 12:30 p.m  KT 243
Thursday, April 28 E-HW 16 Sections 14.4 Hyperbolas due 11:59 PM Sunday, May 1
 You may earn credit for any past eHW assignments for a 10% late penalty but these also close 11:59 PM Sunday, May 1

Final Exam (Rest of Chapter 14, Section 9.6 and Comprehensive) for those who did not earn an exemption:
  • 9:00 Class: Tuesday, May 3, 8:00 a.m. – 10:00 a.m.  KT 243
  • 10:30 Class: Tuesday, May 3, 10:30 a.m. – 12:30 p.m  KT 243

This page is on the Web at http://users.ipfw.edu/lamaster/ma154/ma154s16.htm