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Course Assignments

Textbook Assignments must be prepared for each class but are not collected and graded. See the daily schedule below and the complete list of texbook assignments for the course.

Class meeting Topic Assignment
Mon., June 26 Section 7.1 Periodic Functions and Section 7.2 Definition of the Sine/Cosine
Today:  We graphed a periodic function arising from a ride on a Ferris Wheel. We reported the period, amplitude, and midline.
We introduced the star of our show: the sine function (and its sidekick, the cosine function).

Handouts: Ferris Wheel 
                 Syllabus
                 General Course Information
                 Practice Questions to Check MA 15300 Prerequisite Skills
                
Due Tuesday, June 27:
Read: General Course Information, the Syllabus, and Section 7.1, 7.2, 7.3 and Chapter 7 Skills Refresher
Do:     Section 7.1 (for practice) -- your choice of 1-17, 23-34 as needed.
           Section 7.2 (for practice) -- 1, 3, 5-31
           and purchase an eHW access code if necessary.

Prepare for QUIZ 1 tomorrow, June 27 over prerequisite skills (See Practice Questions to Check MA 15300 Prerequisite Skills and General Course Information.)

Due 11:59 PM, Wednesday, June 28: E-HW 01 Section 7.1- 7.2
Due 11:59 PM, Monday, July 3: E-HW 0 - Part 1 - John's Syllabus
Due 11:59 PM, Monday, July 3: E-HW 0 - Part 2 - General Course Information
Tues.,  June 27 Section 7.3 Radians / Arc Length 
Today:  QUIZ 1 over prerequisites.
We defined radian measurement of an angle θ as the number of radius lengths which wrap around the rim of a circle that are spanned by the angle θ. Since a circle of radius r has a circumference of 2πr, then a trip entirely around the circle (or 360° ) is equivalent to 2π radians. Consequently 180° is equivalent to π radians, which is a handy conversion factor. 		 

Handouts: Bug on a Circular Track
                
Due Wednesday, June 28:
Read: Section 7.4
Do:     Section 7.3 (for practice) -- your choice of 1-31, 35-39, 41, 42, 45, 49, 52, 55 as desired
           Due 11:59 PM, Wednesday, June 28: E-HW 01 Section 7.1- 7.2

Due 11:59 PM, Sunday, July 2: E-HW-02 Skills Refresher and Section 7.3
Due 11:59 PM, Monday, July 3: E-HW 0 - Part 1 - John's Syllabus
Due 11:59 PM, Monday, July 3: E-HW 0 - Part 2 - General Course Information
Wed., June 28 Chapter 7 Skills Refresher on Special Angles and Section 7.4 Graph of the Sine/Cosine
Today: We converted some angles from radians to degrees and from degrees to radians. When asked to find the arc length if given the angle (in degrees) and the radius, we estimated the value of the arc length first. 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. We explored special angles which are multiples of 30° , 60° , and 45° and found the exact values of sine and cosine for these angles. 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. 

  

Handouts: Bug on a Circular Track II
                 Exact Values of Special Angles
                 Circle with Exact Values of Special Angles

Due Thursday, June 29:
Read: Section 7.5
Do:     Section 7.3 (for practice) -- your choice of 26-39, 41, 42
           Skills Refresher for Chapter 7 (p. 324, for practice) -- 1-32
           Section 7.4 -- 1-24, 26-30, 34-38
           Due 11:59 PM tonight, Wednesday, June 28: E-HW 01 Section 7.1- 7.2

Prepare for QUIZ 2 tomorrow, June 29 over Section 7.1 and 7.2

Due 11:59 PM, Sunday, July 2: E-HW-02 Skills Refresher and Section 7.3
Due 11:59 PM, Monday, July 3: E-HW 0 - Part 1 - John's Syllabus
Due 11:59 PM, Monday, July 3: E-HW 0 - Part 2 - General Course Information
Thurs., June 29 Section 7.5 The graph of y = Asin(Bx) + k
Today:  QUIZ 2 over Section 7.1 and 7.2.
For the function y = AsinBx + 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.		  

Handout: Trig Graphs
                 
Due 11:59 PM, Sunday, July 2: E-HW-02 Skills Refresher and Section 7.3

Due Monday, July 3:
Read: Section 7.6
Do:     Section 7.5 (for practice) -- 1-12, 21-26, 29, 37, 50
           Due 11:59 PM, Monday, July 3: E-HW 0 - Part 1 - John's Syllabus and E-HW 0 - Part 2 - General Course Information

Prepare for QUIZ 3 over Chapter 7 Skills Refresher and Section 7.3 on Monday, July 3.

Due 11:59 PM, Wednesday, July 5: E-HW 03 Section 7.4 and 7.5
Class meeting Topic Assignment
Mon., July 3 Section 7.5 Continued
y = Asin(B(x-h)) + k
Today:  QUIZ 3 over Section 7.3  and Chapter 7 Skills Refresher
Continued Section 7.5.  For the graph of y = Asin(B(x-h)), we reported 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.		  

Handout: Phase Shifts
                 
Due Wednesday, July 5:
Read: Section 7.6 and 7.7
Do:     Section 7.5 (for practice) -- 13-20, 27-31, 33-36, 38, 44-49
           Due 11:59 PM, Monday, July 3: E-HW 0 - Part 1 - John's Syllabus and E-HW 0 - Part 2 - General Course Information

Due 11:59 PM, Wednesday, July 5: E-HW 03 Section 7.4 and 7.5
Tues., July 4 No class meeting
Wed., July 5 Section 7.6 The Tangent Function and Section 7.7 The Reciprocal Functions and Identities
Today:  The Tangent Function, the Reciprocal Functions, and the Pythagorean Identities  

Handout: What's My Angle?
                 
Due Thursday, July 6:
Read: Section 7.8 and 8.1
Do:     Section 7.6 (for practice) -- 1-20, 23-36 and
           Section 7.7 (for practice) -- 1-25, 32-35 and
           What's My Angle? handout (for practice). See Blackboard for the key.
           Due 11:59 PM, tonight, Wednesday, July 5: E-HW 03 Section 7.4 and 7.5


Prepare for QUIZ 4 over Section 7.5 and 7.6 on Thursday, July 6

Due 11:59 PM, Sunday, July 9: E-HW 04 Section 7.6-7.8
Due 11:59 PM, Sunday, July 9: E-HW 05 Section 8.1
Thurs., July 6 Section 7.8 Inverse Functions and Section 8.1 Right Triangle Trigonometry
Today:  QUIZ 4 over Section 7.4  and 7.5
The Inverse Trigonometric Functions and Right Triangle Trigonometry		  

         
Due Monday, July 10:
Read: Section 8.2
Do:     Section 7.8 (for practice) -- 1-33 and
            Section 8.1  -- 1-47 as desired.
Prepare for QUIZ 5 over Section 7.6 -8.1 on Monday, July 10

Due 11:59 PM, Sunday, July 9: E-HW 04 Section 7.6-7.8
Due 11:59 PM, Sunday, July 9: E-HW 05 Section 8.1

Test 1 covering 7.1-7.8, Chapter 7 Skills Refresher, and Section 8.1 is Tuesday, July 11
See BB for a Review Sheet.
Class meeting Topic Assignment
Mon., July 10 Section 8.2 Non-Right Triangle Trigonometry Read: Section 8.1 and 8.2
Do: Section 8.2  -- 1-5, 7 - 35, 37, 41, 48

Test 1 covering 7.1-7.8, Chapter 7 Skills Refresher, and Section 8.1 is tomorrow, Tuesday, July 11
See BB for a Review Sheet.

Due 11:59 PM, Wednesday, July 12: E-HW 05 Section 8.2
Tues., July 11 See right --> Test 1
Wed., July 12 Section 8.2 Law of Cosines, Section 8.3 Polar Coordinates and Section 9.1 Trig Equations Due Thursday, July 13:
Read: Section 9.1 and 9.2
Do:     Section 8.2 (for practice) -- 6, 36, 40, 42-44, 47
           Section 8.3 (for practice) -- 1-22 and
           Section 9.1 (for practice) -- 1-11, 15-31, 33, 34, 38, 39, 41
Prepare for QUIZ 6 tomorrow, July 13, over Section 8.2

Due 11:59 PM, Thursday, July 13: E-HW 06 - Section 8.2
Due 11:59 PM, Sunday, July 16: E-HW 07 - Section 8.3 and 9.1
Thurs., July 13 Section 9.2 Identities and Equations

Due tonight, 11:59 PM, Thursday, July 13: eHW-06 Section 8.2 Law of Sines and Cosines

Due 11:59 PM Sunday, July 16: eHW-07 Section 8.3 and 9.1

Due Monday, July 17:
Read: Section 9.3, 10.1 and 10.2
Do:     Section 9.2  -- 1-13, 15-31, 33, 34, 35, 38, 39, 41, 54-58
        
Prepare for QUIZ 7 on Section 8.3 and 9.1 for Monday, July 17


 Due 11:59 PM Tuesday, July 18:
eHW-08 Section 9.2 Identities
eHW-09 Section 9.2 (cont'd) and 9.3
Class meeting Topic Assignment
Mon., July 17 Section 9.2 Equations (Cont'd) and Section 9.3 Sum and Difference Identities Read: Section 12.1 and 12.2
Do:     Section 9.3  -- 1-8, 17 , 18      

Due 11:59 PM Tuesday, July 18:
eHW-08 Section 9.2 Identities
eHW-09 Section 9.2 (cont'd) and 9.3

Due 11:59 PM Sunday, July 23:
eHW-10 Section 10.1 and 10.2
eHW-11 Section 12.1-12.2
eHW-12 Section 12.3
Tues., July 18 Section 10.1 Function Composition and Section 10.2 Inverses and Section 12.2 and 12.2 Vectors

Read: Section 12.3 and 13.1
Do:      Section 10.1 -- 4-25, 31, 37-50, 64, 65
            Section 10.2 -- 1-10, 12-34, 37-43, 47-49, 58, 82        
            Section 12.1 -- 1-15

Due 11:59 PM Tuesday, July 18:
eHW-08 Section 9.2 Identities
eHW-09 Section 9.2 (cont'd) and 9.3

Due 11:59 PM Sunday, July 23:
eHW-10 Section 10.1 and 10.2
eHW-11 Section 12.1-12.2
eHW-12 Section 12.3
Wed., July 19 Chapter 12 Vectors

Today:  Vectors Cont�d

 Due Tuesday, July 18:
 Read: Section 13.1
Do:      Section 12.1 -- 1-20, 24 and 
             Section 12.2 -- 1-2, 4, 5, 8, 13-18, 21, 23, 25-27 and 
           Section 12.3 -- 1-14, 16, 17, 19 and 
            Chapter 12 Review -- 12, 29, 34, 35, 37

Prepare for QUIZ 8 on Section 9.2 and 9.3 for Thursday, July 20

 Due 11:59 PM Sunday, July 23:
eHW-10 Section 10.1 and 10.2
eHW-11 Section 12.1-12.2
eHW-12 Section 12.3
Thurs., July 20 Section 13.1 Sequences

Today:  Sequences

 Due Monday, July 24:
 Read:  Section 13.2 and 13.3
Do:      Section 13.1 -- 1-48

Prepare for QUIZ 9 on Section 10.1, 10.2, 12.1-12.3 for Monday, July 24

 Due 11:59 PM Sunday, July 23:
eHW-10 Section 10.1 and 10.2
eHW-11 Section 12.1-12.2
eHW-12 Section 12.3
Class meeting Topic Assignment
Mon., July 24 Section 13.2 Series

Due Monday, July 24:
 Read:  Section 13.2 and 13.3
Do:      Section 13.2 -- 1-4, 21, 29, 31, 42, 43
Test 2 tomorrow, Tuesday, July 25. See Review sheet on Blackboard.

 Due 11:59 PM Wednesday, July 26:
eHW-13 Section 13.1
 

Due 11:59 PM Sunday, July 30:
eHW-14 Section 12.2-13.4
Tues., July 25 See right --> Test 2
Wed., July 26 Section 13.3 and 13.4 Series

Due Monday, July 24:
 Read:  Section 13.4 and 14.1 (See BB for a link to this chapter.)
Do:      Section 13.2 -- 5-20, 22-30, 36 and Section 13.3 -- 1-17, 20, 24
            and Section 13.4 -- 1-15, 24-26 and Chapter 13 Review -- 4-9, 24

Due 11:59 PM Wednesday, July 26:
eHW-13 Section 13.1

Due 11:59 PM Sunday, July 30:
eHW-14 Section 13.2-13.4

 Due 11:59 PM Tuesday, August 1:
All past due eHW assignments will close.

 Due 11:59 PM Wednesday, August 2:
eHW-15 Section 14.1-14.2
Thurs., July 27 Section 14.1-14.2  Parametric Equations and Circles

Due Monday, July 31:
 Read:  Section  14.3-14.4 (See BB for a link to this chapter.)
Do:      Section 14.1 -- 1-43 and Section 14.2 -- 1-26, 28, 29

 Prepare for QUIZ 10 on Section 13.1-13.4 on Monday, July 31

Due 11:59 PM Sunday, July 30:
eHW-14 Section 13.2-13.4

Due 11:59 PM Tuesday, August 1:
All past due eHW assignments will close.

 Due 11:59 PM Wednesday, August 2:
eHW-15 Section 14.1-14.2

 
Class meeting Topic Assignment
Mon., July 31 Section 14.3-14.4  Ellipses and Hyperbolas

Due Tuesday, August 1:
 Read:  Section  9.6
Do:      Section 14.3 -- 1-10, 11a, 18, 19 and Section 14.4 -- 1-8, 15, 16

Due 11:59 PM Tuesday, August 1: All past due eHW assignments will close.

 Due 11:59 PM Wednesday, August 2:

eHW-15 Section 14.1-14.2
eHW-16 Section 14.3 Ellipses
eHW-17 Section 14.4 Hyperbolas
Tues., Aug. 1 Section 14.4 Hyperbolas (cont'd) and Section 9.6 Complex Numbers

Due Wednesday, August 2:
 Do:      Section 9.6 -- 1-23, 27, 36-39 and Chapter 9 Review 13-16

Due tonight, 11:59 PM Tuesday, August 1: All past due eHW assignments will close.

Tomorrow: QUIZ 11 over Section 14.1-14.4

Due 11:59 PM Wednesday, August 2:
eHW-15 Section 14.1-14.2
eHW-16 Section 14.3 Ellipses
eHW-17 Section 14.4 Hyperbolas
eHW-18 Section 9.6 Complex Numbers


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

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.
Wed., Aug. 2    
Thurs., Aug. 3    

This page is on the Web at http://users.pfw.edu/lamaster/ma154/su17-154.htm

 

List of textbook practice questions throughout the semester: [ Top ]

Section 7.1 -- your choice of 1-17, 23-34 as needed.
Section 7.2 -- 1, 3, 5-31
Section 7.3 -- 1-56 as desired
Skills Refresher for Chapter 7 (p. 324) -- 1-32
Section 7.4 -- 1-24, 26-30, 34-38
Section 7.5 -- 1-12, 21-31, 37, 38, 44-50
Section 7.6 -- 1-20, 23-36
Section 7.7 -- 1-25, 32-35
Section 7.8 - - 1-33
Section 8.1 -- 1-47 as desired.
Section 8.2 -- 1- 37, 40-44, 47, 48
Section 8.3 -- 1-22
Section 9.1 -- 1-11, 15-31, 33, 34, 38, 39, 41
Section 9.2 -- 1-26, 27 - 30, 31, 32, 35, 54-58
Section 9.3 -- 1-8, 17, 18
Section 10.1 -- 4-25, 31, 37-50, 64, 65
Section 10.2 -- 1-10, 12-34, 37-43, 47-49, 58, 82
Section 12.1 -- 1-15
Chapter 12 Review -- 34, 35, 37
Section 12.1 -- 16-20, 24
Section 12.2 -- 1-2, 4, 5, 8, 13-18, 21, 23, 25-27
Section 12.3 -- 1-14, 16, 17, 19
Chapter 12 Review -- 12, 29, 34, 35, 37
Section 13.1 -- 1-48
Section 13.2 -- 1-15, 11-21, 26-30, 34-37, 42, 45
Section 13.3 -- 1-17, 20-25
Section 13.4 -- 1-15, 24-26
Chapter 13 Review -- 4-9, 24
Section 14.1 -- 1-43
Section 14.2 -- 1-26, 28, 29
Section 14.3 -- 1-10, 11a, 18, 19
Section 14.4 -- 1-8, 15, 16
Section 9.6 -- 1-23, 27, 36-39
Chapter 9 Review -- 13-16