MA 154 Spring 2007

Final Grades
are now posted on OASIS

Have a great summer!

 

 

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Course Assignments [Back to TOP]
Internet Assignments: Click on e-Grade to reach your eGrade assignment page. [Back to TOP]
 

Writing assignments: [Back to TOP]E-HW 7 Sections 11.3-11.4 due 11:59 pm., April 12, 2007
WR1: Writing Assignment 1: The Bug on the Square Track due Tuesday, January 16

Regular textbook and reading assignments [Back to TOP] 

Class Date Assignment  
Tuesday, 1-09
In-Class Activity: Oh Deer! 
Due Thursday, 1-11:
Review:
Section 3.1 -- 1, 3, 15, 16, 17, 19, 25, 27 and 3.2 -- 5, 15, 17, 37
Read: General Course Information, the Syllabus, and Section 6.1 and 6.2
Do:
purchase eGrade, and get a TI-83 Plus/TI-84 Plus.
Due Tuesday, January 16: Writing Assignment 1: The Bug on the Square Track
Due Thursday. Jan 18, 11:59 pm:
E-HW 1 Syllabus Quiz. Click HERE.
Thursday, 1-11 Reviewed linear vs. exponential functions. We graphed the height of a Ferris Wheel car as a function of time, reported midline, amplitude, period of what is called sinusoidal function. Introduced the sine and the cosine of a function.
Handout: Ferris Wheel 
Due Tuesday, 1-16:
Read:
Section 6.3 and Chapter 6 Tools
Do:
Section 6.1 -- 1-27 odd, Section 6.2 -- 1, 5, 9, 11-27, 31-33, Reading Questions over Chapter 6 Tools and Writing Assignment 1: The Bug on the Square Track

Due Thursday. Jan 18, 11:59 pm:
E-HW 1 Syllabus Quiz. Click HERE.
Important note: Tuesday's class meets at 10:30 am in KT G44.
Tuesday, 1-16
Handout: Bug on a Circular Track
Discussed Section 6.2, Question 27.
Defined radian measurement. Suppose the vertex of an angle theta is at the center of a circle of radius r, and the angle spans an arc of length s.  The measure of the angle theta 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 degrees 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 degrees 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. Finally, we talked about using the correct mode when finding the sine or a cosine of an angle with a calculator.
Read:
Section 6.4
Do: 
6.3 -- 1 through 38, 41 and prepare for QUIZ 1 on 3.1/3.2 and 6.1, 6.2

Due Thursday. Jan 18, 11:59 pm: E-HW 1 Syllabus Quiz. Click HERE.


 

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 = s.
Thursday, 1-18 Took Quiz 1. Looked at exact values (see activity) of trig functions of 30Ί, 45Ί, 60Ί and their multiples, did some problems from the worksheet on finding angles in radians (exactly), and looked at right triangle definitions and applications. 
For Tuesday, January 23
Read:
Section 6.4 and 6.5
Do: 
Worksheet on finding the angle (Here's the key.) and Chapter 6 Tools page 288-291: 1-19, 21, 23, 29 and prepare for QUIZ 2 over the angle worksheet and 6.3
Thursday, January 25: Test 1 over Sections 3.1/3.2 and 6.1-6.4. Click here for a review sheet. (Note the change of date)

Due tonight, 11:59 pm: E-HW 1 Syllabus Quiz. Click HERE.
Due Tuesday. Jan 23, 11:59 pm:
E-HW 2 Topics from 3.1/3.2 and 6.1-6.3 Click HERE.

Tuesday, 1-23

Section 6.4
Took QUIZ 2 and returned. 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 for y = cos(x).  
    (See Section 5.2 and 5.3 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 for y = cos(x).  
    (See Section 5.1 for a review of these topics.)

The first multiplies the output by a quantity; the second adds/subtracts a quantity to the output. In the next class we will look at the effect of doing both of these kind of transformations to the inside, which causes a horizontal transformation (change to the input).

Do: Section 6.4 -- 1-26 and Chapter 6 Review (p. 282) 1-15, 17-19, 27-29, 44

Thursday, 1-25 Test 1 over Sections 3.1/3.2 and 6.1-6.4. Click here for a review sheet.
(Note the change of date)
 
Mean:  80.6      
Median:  83.5      
      84 97  
      84 96  
      83 96  
  56 69   83 95  
  50 61   83 92  
Tuesday, 1-30 One equation says it all: y = Asin(B(x - h)) + k
We explored the effects of  B and h on the graph.
For positive values of B and h
the period is 2π/B, the horizontal shift is h units to the right, and the phase shift is Bh
In other words, the cycle of the sine curve starts when x = h and ends when x = h + period. 
Due for Wednesday, February 4:
Read: Section 6.6 and 6.7 
Do: Section 6.5 -- 1- 37 student's choice, 49
Thursday, 2-1 Handout: The Bug on the Square Track Extension
We investigated the tangent function and its properties.
Read: 
Section 6.7
Do:  Section 6.6 -- 1 through 15, 24, 25 and QUIZ 3 on 6.4 and 6.5
Tuesday, 2-6 Handout: Spotlight on the Berlin Wall
Reviewed 6.5. Took QUIZ 3.
Read: 
Section 6.7
Do:  Spotlight on the Berlin Wall
Thursday, 2-8 Handout: Day at the Parade
Read:  Section 6.7
Do:  A Day at the Parade and Section 6.6 -- 18-33, 36 and Section 6.7 - 1, 2
E-HW 3 Topics from 6.4-6.5 due 11:59 pm., February 9, 2007 Click HERE.
Tuesday, 2-13 Snow Day
Thursday, 2-15 Reference angles and inverse trig functions.
Read: 
Section 7.1
Do:  Section 6.7 - 1 - 27
Tuesday, 2-20 Law of Cosines and Law of Sines
Read:  Section 7.2
Do:  Section 7.1 - 2, 3, 5-16, 23-32, 35 and prepare for QUIZ 4 on 6.6 and 6.7
Thursday, 2-22 The Ambiguous Case and Trig Identities
Read:
Section 7.2
Do: Section 7.1 -- 1, 4, 17-20 and Rescue the Princess
Tuesday, 2-27 Identities
Read: Section 7.3 
Do:
Section 7.2 --  1-17, 28
E-HW 4 Sections 6.7-7.2 due 11:59 pm., March 14, 2007 Click HERE.
Thursday, 3-1 Took QUIZ 5 on Law of Sines and Law of Cosines
Sum and Difference Identities
Read: Section  10.1
Do:
Section 7.3 --  11, 13 and due Thursday 3-15: Wilbur handout and  Sum and Difference Identities handout
E-HW 4 Sections 6.7-7.2 due 11:59 pm., March 14, 2007 Click HERE.
Tuesday, 3-6
Spring Break
Rhino on Fall Break Take a Rhino Rest!
 

Photo by Kathy Hanby. Used with permission.
Thursday, 3-8
Tuesday, 3-13 Vectors. Here's a handout we worked on that was a page from old exam.
Read: Section  10.1 and 10.2 
Do:
Section 10.1 -- 1-12 and 10.2 --  1-8, 13-20
due Thursday 3-15: Wilbur handout and  Sum and Difference Identities handout
E-HW 4 Sections 6.7-7.2 due 11:59 pm., March 14, 2007 Click HERE.
Thursday, 3-8 Application of vectors.  Be ready for QUIZ 6 on vectors
E-HW 5 Sections 10.1-10.3 due 11:59 pm., March 21, 2007 Click HERE.
Test 2
is Thursday March 22, 2007: Sections 6.5, 6.6, 6.7,7.1, 7.2, 7.3, 10.1, 10.2, 10.3
Click HERE for a review
Tuesday, 3-20 Read: Section  10.4 
Do:
Section 10.3  1-12, 16, 17, 18
Thursday, 3-22 Test 2 over Sections 6.5, 6.6, 6.7,7.1, 7.2, 7.3, 10.1, 10.2, 10.3
 
Mean:  63.3      
Median:  68      
           
      68      
  49 58 68 72    
  31 44 53 65 70 80 102
Tuesday, 3-27 Read: Section  11.1 and 11.2
Do:
Section 10.4  -- 1-6, 10
Thursday, 3-29 Read: Section  11.3 and 11.4
Do:
Section  11.1 -- 1-30 student's choice and 11.2  1-18, 24, 29-31. Be ready for QUIZ 7 on 10.3 and 10.4
E-HW 6 Sections 10.3-10.4 due 11:59 pm., April 5, 2007. Click HERE.
Tuesday, 4-3 Read: Section  11.4 and 12.1
Do:
Section  11.3 -- 1-20 student's choice
E-HW 6 Sections 10.3-10.4 due 11:59 pm., April 5, 2007. Click HERE.
Thursday, 4-5 Read: Section  12.1
Do:
Worksheet on Ritalin
E-HW 6 Sections 10.3-10.4 due 11:59 pm., tonight. Click HERE.
E-HW 7 Sections 11.3-11.4 due 11:59 pm., April 17, 2007. Click HERE
Tuesday, 4-10 QUIZ Thursday on 11.1-11.4
Read:
Section  12.3 and 12.4
Do:
Section  11.4 -- 1-8 and Section  12.1 -- 1-31 and Worksheet on Ritalin for April 17, 2007
E-HW 7 Sections 11.3-11.4 due 11:59 pm., April 17, 2007. Click HERE
Thursday, 4-12 QUIZ Tuesday 4-17 on 12.1-12.3
Read:
Section  12.3 and 12.4
Do: 
Section 12.2 -- 5-12,13a, 14-20 and Section 12.3 -- 1, 2, 4-8, 18, 19 and Worksheet on Ritalin for April 17, 2007
E-HW 7 Sections 11.3-11.4 due 11:59 pm., April 17, 2007. Click HERE
Click HERE for a review over Test 3 over Chapters 10, 11, and 12.1 to 12.3 is Thursday, April 19

© 2007 Indiana University-Purdue University Fort Wayne, all rights reserved
Last updated: April 12, 2007
URL: http://users.ipfw.edu/lamaster/ma154/s07ma154.htm
Contact: John LaMaster, Instructor, (260) 481-5430
Comment Form: John LaMaster, Mathematical Sciences