MA 154 Spring 2009

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Course Assignments [Back to TOP]
Internet Assignments: Click on HERE to reach your eHW assignment page. [Back to TOP]
E-HW 0 General Course Information due 11:59 pm, Monday, Jan. 26
E-HW 01 Section 6.1-6.3 due 11:59 pm, Wednesday, Jan. 28, 
E-HW 02 6.4-6.5, Ch 6 Tools and Finding Angle due 11:59 pm., Friday, Feb. 13,  11:59 pm.
E-HW 3 Sections 6.6-7.2 due 11:59 pm., Feb. 25, 2009
E-HW04 Sections 7.2-7.3 due 11:59 pm., March 20, 2009
E-HW05 Sections 10.1-10.3 due 11:59 pm., March 27, 2009
E-HW06 Topics from Section 10.3 and 11.1 due Monday, March 30 11:59 pm
E-HW07 Chapter 11 due April 15, 11:59 pm
 

Writing assignments: [Back to TOP]
WR1: Ferris Wheel due Wednesday, Jan. 21
WR2: Bug on a Square Track due Monday, Jan. 26, 2009
WR3: Law of Sines and Cosines to the Rescue due Wednesday, Feb. 25.
WR4: Wilbur's Trough due Friday, April 3
WR5: Repeated Doses of Ritalin due Wednesday, April 8
WR6: Conics By Definition due Monday, April 20
WR7: The Search for Fester's Gold due Friday, April 24
Euler Extra Credit due the day of your final exam.


Regular textbook and reading assignments [Back to TOP] 

Class Date Assignment  
Monday, 1-12 Handouts: Oh Deer!
Reviewed linear vs. exponential functions.
Due Wednesday, 1-14:
Review: Prerequisite Skills on the General Course Information handout
Read: General Course Information, the Syllabus (9:00 or 11:00), and Section 6.1 and 6.2
Do: purchase eHW access card, self-register into the system and get a graphing calculator (such as a TI-83 Plus/TI-84 Plus).

QUIZ 1 Friday, Jan. 16 over Prerequisite Skills on the General Course Information handout.
Due 11:59 pm Monday, Jan. 26: E-HW 0 General Course Information  Click HERE.
Wednesday, 1-14 Handouts: Ferris Wheel  (See pictures of the London Eye: 1  2)
Read: Section 6.2
Do: Section 6.1 -- 1-29 odd

QUIZ 1  Friday, Jan. 16 over Prerequisite Skills on the General Course Information handout.

WR1 (Writing Assignment 1): Ferris Wheel due Wednesday, Jan. 21, 2009  Click HERE.

Due 11:59 pm Monday, Jan. 26: E-HW 0 General Course Information
Friday, 1-16 Took QUIZ 1. Introduced the star of our show: the sine function (and its sidekick, the cosine function)
Read: Section 6.3 and Chapter 6 Tools (p. 301ff)
Do: Section 6.2 -- 1, 5, 9, 11-27, 31-32

WR1 (Writing Assignment 1): Ferris Wheel due Wednesday, Jan. 21, 2009  Click HERE.
WR2 (Writing Assignment 2): Bug on the Square due Monday, Jan. 26, 2009  Click HERE.

Due 11:59 pm Monday, Jan. 26: E-HW 0 General Course Information
Wednesday, 1-21
Handout: Bug on a Circular Track
We talked about using the correct mode when finding the sine or a cosine of an angle with a calculator. 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 360º 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 180º is equivalent to π radians, which is a handy conversion factor.
 Read: Ch 6 Tools
Do:  6.3 -- 1-19 and prepare for QUIZ 2 on 6.1 and 6.2 on Friday
Complete Writing Assignment 2: Bug on a Square Track for Mon., Jan. 26

Due 11:59 pm Monday, Jan. 26: E-HW 0 General Course Information
Due 11:59 pm Wednesday, Jan. 28: E-HW 01 Section 6.1-6.3

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.
Friday, 1-23 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. Took QUIZ 2. Introduced SOHCAHTOA and Pythagoras, a perfect pair. Looked at right triangle definitions and applications. 

Read: Section 6.4
Do:  6.3 -- 1-28, 30-32, 34-42 and Chapter 6 Tools -- 1-10, 19-23, 28, 31
Complete Writing Assignment 2: Bug on a Square Track for Mon., Jan. 26
Due 11:59 pm Monday, Jan. 26: E-HW 0 General Course Information
Due 11:59 pm Wednesday, Jan. 28: E-HW 01 Section 6.1-6.3
Monday, 1-26 Looked at exact values (see activity) of trig functions of 30º, 45º, 60º and their multiples and did some problems from the worksheet on finding angles in radians (exactly).
Handout: Unit circle with exact values

For Wednesday, January 28
Read: Section 6.4
Do: Section 6.3 -- 1-28, 30-32, 34-42 and  Worksheet on finding the angle and Section 6.4 10-15 and Ch 6 Review 35, 36

Due 11:59 pm Wednesday, Jan. 28: E-HW 01 Section 6.1-6.3

Due 11:59 pm Monday, Jan. 26: E-HW 0 General Course Information
Wednesday, 1-28

Handouts: KEY to worksheet on finding 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 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.

We then looked at the effect of doing both of these kind of transformations to the inside, which causes a horizontal transformation (change to the input), specifically, that the graph of y = Asin(Bx) + k  has period 2π/B.

Due for Friday, January 30
Read: Section 6.5
Do: Section 6.4 -- 1-26 and prepare for QUIZ 3 over Section 6.3 and Ch 6 Tools (SOHCAHTOA and Pythagoras)

Due tonight, 11:59 pm E-HW 01 Section 6.1-6.3. Click HERE.

Test 1 over 6.1-6.4 and Chapter 6 Tools on Wednesday, Feb. 4, 2009. Here's a REVIEW.
Friday, 1-30
Took QUIZ 3 on Section 6.3 and Chapter 6 Tools
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 to the right. 
In other words, the cycle of the sine curve starts when x = h and ends when x = h + period. 
Due for Monday, February 2
Read: Section 6.6 and 6.7 
Do: Section 6.5 -- 1- 37 student's choice

Test 1 over 6.1-6.4 and Chapter 6 Tools on Wednesday, Feb. 4, 2009. Here's a REVIEW.
Monday, 2-2 Continued Section 6.5. If given a graph, find the formula.

Looked at these graphs:     Graph 1   Graph 2  Graph 3  and this  Graph 4

Read: Section 6.6 and 6.7 
Do: Section 6.5 -- 38-42 student's choice 

Test 1 over 6.1-6.4 and Chapter 6 Tools on Wednesday, Feb. 4, 2009. Here's a REVIEW.
Wednesday, 2-4 Results of Test 1
 
9:00 am S                 11:00 pm S            
Average: 72.1           103     Mean: 77     79      
Mean: 71     69     94     Median: 78.5     78 87 95  
        69 77   92               76 87 94  
      59 66 76   92             67 75 86 93  
      59 66 74   92             65 75 85 92  
      55 63 71 86 91             64 74 84 92  
      51 63 71 84 90           54 63 72 81 91  
  25   47 50 60 70 82 90       38   54 62 70 80 90  
Friday, 2-6 Read: Section 6.7
Do: Section 6.6  -- 13-20, 38 and Section 9.5 19-20

E-HW02 due Friday, Feb. 13 11:59 pm. Click HERE.
Monday, 2-9 Read: Section 6.7  again.
Do: Section 6.6  -- 21, 23, 26, 28-35

E-HW02 due Friday, Feb. 13 11:59 pm. Click HERE.
Wednesday, 2-11 Reference angles and inverse trig functions.
Read:  Section 7.1
Do:  Section 6.7 - 1 - 27, 36-43, 50-51, 53-59

Friday: QUIZ 4 on Section 6.5 and 6.6

E-HW 02 Section 6.4-6.5, Ch 6 Tools and Finding Angle due 11:59 pm Friday, Feb. 13 11:59 pm
Friday, 2-13 Took QUIZ 4 on Section 6.5 and 6.6
Solving for exact values in trig equations involving tangent and multiple angles.
Read:  Section 7.1 (again)
Do:  Chapter 6 Review  - 39-43, 48-53, 58, 60

E-HW 02 Section 6.4-6.5, Ch 6 Tools and Finding Angle due 11:59 pm tonight, Feb. 13 11:59 pm
Monday, 2-16 The Law of Sines
Read:  Section 7.1
Do:  Section 7.1 - 8-15, 24-30, 32, 36
Wednesday, 2-18 The Law of Cosines
Read:  Section 7.1
Do:  Section 7.1 - 1-7, 27, 28, 31, 35, 37 - 39 and prepare for QUIZ 5 on 6.7 and 7.1 Law of Sines
Friday, 2-20 Took QUIZ 5 on 6.7 and 7.1 Law of Sines
The Ambiguous Case and Trig Identities
Read: Section 7.2 
Do: Section 7.1 -- 16-23 and  handout on Trig Identities (includes KEY)

E-HW 3 Sections 6.6-7.2 due 11:59 pm., Wednesday, Feb. 25, 2009 Click HERE.

Due Wednesday, Feb. 25: Writing Assignment 5: Law of Sines and Cosines to the Rescue!

Test 2 Friday, Feb. 26, 2009. Here's a REVIEW.
Monday, 2-23 Trig Identities I: Simplifying Trig Expressions
Read:  Section 7.2
Do:  Section 7.2 - 1, 4-8, 10, 15, 21-30, 33

E-HW 3 Sections 6.6-7.2 due 11:59 pm., Wednesday, Feb. 25, 2009 Click HERE.

Due Wednesday, Feb. 25: Writing Assignment 5: Law of Sines and Cosines to the Rescue!

Test 2 will be through the Math Test Center, KT G18
Walk-in testing during test center hours on Thursday or Friday, Feb. 25-26, 2009. Here's a REVIEW.
You have unlimited time, within the constraints of the
You will need a photo ID and a graphing calculator.
Wednesday, 2-25 Double Angle Identities and Trig Equations
Read: Section 7.3 
Do: Section 7.2 -- 17-20, 41 (not for hand in) Want more practice solving quadratic equations? See Chapter 2 Tools

Test 2 will be through the Math Test Center, KT G18
Walk-in testing during test center hours on Thursday or Friday, Feb. 25-26, 2009. Here's a REVIEW.
You have unlimited time, within the constraints of the
You will need a photo ID and a graphing calculator.

E-HW 3 Sections 6.6-7.2 due 11:59 pm., tonight Click HERE.
Monday, 3-2 Read: Section 10.1 and 10.2
Sum and Difference Identities Handout  (Here is the KEY)
Do: Section 7.3  11-13, 17, 21-23
Wednesday, 3-4 Handout: Vectors
Read: Section 10.1 and 10.2
Do: Section 10.1 -- 1-15 and Chapter 10 Review # 35 and prepare for QUIZ 6 on Section 7.2 Trig Equations and Sum and Difference Identities

E-HW04 Sections 7.2-7.3 due 11:59 pm., March 20, 2009 Click HERE.
Friday, 3-6 Took QUIZ 6 on Section 7.2 Trig Equations and Sum and Difference Identities
Read: Section 10.3
Do: Section 10.2 -- 1-6, 8, 13-16, 19, 24 and Chapter 10 Review # 1-10, 29, 34

E-HW04 Sections 7.2-7.3 due 11:59 pm., March 20, 2009 Click HERE.
Spring Break

Rhino on Spring Break

 Photo by Kathy Hanby. Used with permission
Monday, 3-16 Handout: 3D Vectors  (with octants)
Read: Section 10.4
Do: Section 10.2 -- 9-12, 21, 22, 25-28 and Section 10.3 -- 1-10 and Chapter 10 Review # 1-10, 17, 19, 28, 29, 34

E-HW04 Sections 7.2-7.3 due 11:59 pm., March 20, 2009 Click HERE.
Wednesday, 3-18 Read: Section 11.1
Do: Section 10.3 -- 1-11, 16 and prepare for QUIZ  7 on Sections 10.1-10.2
E-HW04 Sections 7.2-7.3 due 11:59 pm., March 20, 2009 Click HERE.
E-HW05 Sections 10.1-10.3 due 11:59 pm., March 27, 2009 Click HERE.
Friday, 3-20 Took QUIZ 7 on Sections 10.1-10.2
Read: Section 11.2
Do: Section 11.1 -- 1-37  Student's choice
Monday, 3-23 Read: Section 11.3
Do: Section 11.2 -- 1-9, 41-43 and prepare for QUIZ 8 on Section 10.3 and 3D Vectors

E-HW05 Sections 10.1-10.3 due 11:59 pm., March 27, 2009 Click HERE
E-HW06 Topics from Section 10.3 and 11.1 due Monday, March 30 11:59 pm   Click HERE.
Wednesday, 3-25 Read: Section 11.4
Do: Section 11.2 -- 10 - 28, 32 - 35 and Section 11.3 --  1-4, 12-15

E-HW05 Sections 10.1-10.3 due 11:59 pm., March 27, 2009 Click HERE
E-HW06 Topics from Section 10.3 and 11.1 due Monday, March 30 11:59 pm   Click HERE.

Due Friday, April 3: Writing Assignment 4: Wilbur's Trough 
Friday, 3-27 No class meeting
Monday, 3-30 Finite Geometric Series
Read: Section 11.4
Do: Section 11.3 -- 1-22 student's choice

E-HW06 Topics from Section 10.3 and 11.1 due tonight, March 30 11:59 pm   Click HERE.

Due Friday, April 3: Writing Assignment 4: Wilbur's Trough 
Wednesday, 4-1 Infinite Geometric Series
Read: Section 12.1
Do: Section 11.4 1-11 and Chapter 11 Review  1-13, 15, 18

QUIZ 9 Friday, April 3 on 11.1-11.2
Due Friday, April 3: Writing Assignment 4: Wilbur's Trough 
Due Wednesday, April 8: Writing Assignment 5: Repeated Doses of Ritalin 
Friday, 4-3 Parametric Equations
Read: Section 12.2
Do: Section 12.1 -- 1-34

E-HW04 Topics from Section 10.4 and 11.1 due tonight 11:59 pm   Click HERE.

Due Wednesday, April 8: Writing Assignment 5: Repeated Doses of Ritalin 

E-HW07 Chapter 11 due April 15, 11:59 pm   Click HERE.
Monday, 4-6 Read: Section 12.3
Do: Section 12.2 -- 1-18, 20, 21

Due Wednesday, April 8:  Writing Assignment 5: Repeated Doses of Ritalin 

E-HW07 Chapter 11 due April 15, 11:59 pm   Click HERE.
Wednesday, 4-8 Friday: QUIZ 10 on Sections 11.2-11.4
Read: Section 12.4
Do: Section 12.3 -- 1-10, 17a, 18, 19, 22

E-HW07 Chapter 11 due April 15, 11:59 pm  Click HERE.
Friday, 4-10 Hyperbolas
Read: Section 12.5
Do: Section 12.4 -- 1 - 4, 9-10, 11a
E-HW07 Chapter 11 due April 15, 11:59 pm  Click HERE.

Test 3 will be in the Math Test Center
Tuesday, April 21 and Wednesday, April 22
Monday, 4-13 Handout: Conics By Definition
Geometric Properties of Conic Sections
Read: Section 7.5 and 7.6
Do: Section 12.5 -- 14-21, 36, 38

Wednesday, 4-15: QUIZ 11 on 12.1-12.4

E-HW07 Chapter 11 due April 15, 11:59 pm  Click HERE.
E-HW08 Chapter 12 due April 20, 11:59 pm  Click HERE.

WR 7  Conics by Definition due Monday, April 20  Click HERE.

Test 3 next Tuesday and Wednesday. Click HERE for a review sheet.
Wednesday, 4-15 Took QUIZ 11 on 12.1-12.4

Read: Section 7.5 and 7.6
Do: Section 12.5 -- 1-40

Friday, 4-17: QUIZ 12 on 12.4-12.5 (Hyperbolas and Parabolas)

E-HW07 Chapter 11 due April 15, 11:59 pm  Click HERE.
E-HW08 Chapter 12 due April 20, 11:59 pm  Click HERE.

WR 7  Conics by Definition due Monday, April 20  Click HERE.
WR 8 The Search for Fester's Gold due Friday, April 24 Click HERE.

Test 3 next Tuesday and Wednesday. Click HERE for a review sheet.
Friday, 4-17 Handout: Identifying the Conic Section
Read: Section 7.6
Do: Chapter 12 Review (page 556) – 9-16, 23-26 (Just identify the conic)
E-HW07 Chapter 11 due April 15, 11:59 pm  Click HERE.
E-HW08 Chapter 12 due April 20, 11:59 pm  Click HERE.

WR 7  Conics by Definition due Monday, April 20  Click HERE.
WR 8 The Search for Fester's Gold due Friday, April 24 Click HERE.

Test 3 next Tuesday and Wednesday. Click HERE for a review sheet.
Monday, 4-20 Read: Section 7.6
Do:  Section 7.5 -- 1-21 odd, 22-29, 31-37 odd, 41-45

E-HW08 Chapter 12 due tonight, 11:59 pm  Click HERE.

WR 8 The Search for Fester's Gold due Friday, April 24 Click HERE.

Test 3 next Tuesday and Wednesday. Click HERE for a review sheet.
Wednesday, 4-22 Test 3 outside of class.
You are welcome to come to the regularly scheduled class time for a help session.
Click HERE for a review sheet.
Friday, 4-24 Section 7.6: 1-14, 17-25
 

Monday, 4-27: QUIZ 13 on 7.5

Dates for the Final Exam (Rest of Ch. 12, Section 7.5 & 7.6, and Comprehensive)
9:00 Section: Mon., May 4, 2009 8:00 a.m. – 10:00 a.m.
11:00 Section: Wed., May 6, 2009 10:30 p.m. – 12:30 p.m.
Monday, 4-27 Review
 Section 7.6: 1-14, 17-25

Wednesday, 4-29: QUIZ 14 on 7.6

Dates for the Final Exam (Rest of Ch. 12, Section 7.5 & 7.6, and Comprehensive)
Here is a review
9:00 Section: Mon., May 4, 2009 8:00 a.m. – 10:00 a.m.
11:00 Section: Wed., May 6, 2009 10:30 p.m. – 12:30 p.m.
Wednesday, 4-29 Review
Try this Euler Extra Credit
Friday, 5-1 Review
Week of May 4-8 Final Exam week. No class meetings.
9:00 Section: Mon., May 4, 2009 8:00 a.m. – 10:00 a.m.
11:00 Section: Wed., May 6, 2009 10:30 p.m. – 12:30 p.m.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

© 2009 Indiana University-Purdue University Fort Wayne, all rights reserved
Last updated: April 27, 2009
URL: http://users.ipfw.edu/lamaster/ma154/s09ma154.htm
Contact: John LaMaster, Instructor, (260) 481-5430
Comment Form: John LaMaster, Mathematical Sciences