Welcome to John's MA 15400
Course Home Page

 

Course Assignments

  Class Date Assignment  
1 Tuesday, Jan. 14
 		 Handouts: Ferris Wheel  (See pictures of the London Eye: 1  2)
                Syllabus

Due: Thursday, Jan. 16
Read: General Course Information, the Syllabus, and Section 6.1 and 6.2
Do:     Section 6.1 -- 1-29 odd
           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. 21 over prerequisite skills in the General Course Information packet.
Due Thursday, Jan. 23, 11:59 pm: E-HW 0 General Course Information and Using eHW.    .
1 Thursday, Jan. 16 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

Prepare for QUIZ 1 next Tuesday, Jan 21 over prerequisite skills in General Course Information packet and review "Practice Questions to Check MA 153 Skills". (If you do not have a custom text, once you are in Blackboard, click on Start Here, then go to the folder called "Introductory Course Information")

Due Thursday, Jan. 23, 11:59 pm: E-HW 0 General Course Information and Using eHW.   
2
2 Tuesday, Jan. 21 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 6 Tools
Do:  6.3 -- 1 through 28, 30-32, 34-42

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. 23, 11:59 pm: E-HW 0 General Course Information and Using eHW.
Due Tuesday, Feb. 4, 11:59 pm: E-HW 1 Sections 6.1-6.3
 Due Thursday, Jan. 30 - Writing Assignment 1: Bug on a Square Track
2 Thursday, Jan. 23

We saw how SOHCAHTOA and Pythagoras can be a perfect pair. Looked at some right triangle definitions and applications and at exact values of trig functions of 30°, 45°, 60° and their multiples.
Read: Section 6.4
Do: Chapter 6 Tools -- 1-10, 19-23, 28, 31 and Section 6.4 10-15 and Ch 6 Review 35, 36 (for practice)

Due Thursday, Jan. 23, 11:59 pm: E-HW 0 General Course Information and Using eHW.
Due Tuesday, Feb. 4, 11:59 pm: E-HW 1 Sections 6.1-6.3
 Due Thursday, Jan. 30 - Writing Assignment 1: Bug on a Square Track
 
3
3 Tuesday, Jan. 28 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 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.

Due for Thursday, Jan. 30
Read: Section 6.5
Do: Section 6.4 -- 1-26 (for practice)

QUIZ 2 over Section 6.1 and 6.2 is now Thursday, Jan. 30

Due Tuesday, Feb. 4, 11:59 pm: E-HW 1 Sections 6.1-6.3
 Due Thursday, Jan. 30: Writing Assignment 1: Bug on a Square Track
Due Tuesday, Feb. 4, 11:59 pm: Writing Assignment 2: What's My Angle?
3 Thursday, Jan. 30

Today: QUIZ 2 on Section 6.1 and 6.2

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.

Due for Monday, Feb 4
Read: Section 5.1 - 5.4 (optional)
Do: Section 6.5 -- 1- 27, 41 and Chapter 6 Review 18-34

  • E-HW01 Sections 6.1-6.3 due Tuesday, Feb. 4, 11:59 pm, 11:59 pm
  • E-HW02 Ch 6 Tools and Section 6.4 due Thursday, Feb. 6, 11:59 pm

Tuesday, Feb. 4: QUIZ 3 over Section 6.3 and Ch 6 Tools (SOHCAHTOA and Pythagoras)

Due Tuesday, Feb. 4, 11:59 pm: E-HW 1 Sections 6.1-6.3
 Due Tuesday, Feb. 4, 11:59 pm: Writing Assignment 2: What's My Angle?

Test 1 moved to on Thursday, Feb. 13.
4
4 Tuesday, Feb. 4 Took QUIZ 3 over Section 6.3 and Ch 6 Tools (SOHCAHTOA and Pythagoras)
Continued Section 6.5. 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.

Do: Section 6.5 -- 1-4, 7, 9, 10, 19-27, 34, 41 and find the phase shift of the graphs in the handout (posted on BB).

E-HW
  • E-HW 1 Sections 6.1-6.3 due Tuesday, Feb. 4, 11:59 pm
  • E-HW02 Ch 6 Tools and Section 6.4 due Tues. Feb 11, 11:59 pm.

Test 1 moved to on Thursday, Feb. 13.

Thursday: QUIZ 4 on Section 6.4
4 Thursday, Feb. 6 Continued Section 6.5. If given a graph, find the formula.
Reported amplitude, midline, period, horizontal shift, phase shift, and a formula for the graphs in the handout (posted on BB).

Read: Section 6.6
Do: Section 6.5 -- 30- 42 and Chapter 6 Review 18-34 , 42-47

E-HW:

  • E-HW02 Ch 6 Tools and Section 6.4 due Tues. Feb 11, 11:59 pm.
  • E-HW03 Section 6.5 due Tues., Feb. 18, 11:59 pm.

Test 1 over 6.1-6.4 and Chapter 6 Tools and Worksheet on Angles on Thursday, Feb. 13
See Review Sheet posted on BB.

Due Thursday, Feb. 20: Writing Assignment 3: Trig Graphs
5
5 Tuesday, Feb. 11 Read: Section 6.7
Do: Section 6.6  -- 1-20 and Section 7.1 -- 8-15, 24, 25, 26, 29, 30, 32  (Law of Sines)

WR3 (Writing Assignment 3): Trig Graphs due Thursday, Feb. 20

E-HW
  • E-HW02 Ch 6 Tools and Section 6.4 due Tues. Feb 11, 11:59 pm.
  • E-HW03 Section 6.5 due Tues., Feb. 18, 11:59 pm.

To accommodate winter conditions, Test 1 is outside of class in the Math Test Center (G18)
There is no class meeting on Thursday, February 13
Walk in with any kind of photo ID and your graphing calculator to take the test during these times

  • Thurs., Feb, 13      9:00 AM-7:00 PM (it closes at 8:00 pm)

  • Fri., Feb. 14          9:00 AM -3:30 PM (it closes at 4:30 pm)

  • Sat., Feb. 15          9:00 AM - 11:00 AM (it closes at noon)

  • Mon., Feb17         9:00 AM -3:30 PM (it closes at 4:30 pm)

No appointment is necessary. You will not be allowed to take the test if you arrive 1 hour or less before Math Test Center (KT G18) closes. Although the test is what would normally be given in a 75 minute period, you will have unlimited time to take it, constrained only by the hours of the test center.  You can only take the test in one sitting. You may not bring any notes or formula sheet, although one will be provided.
5 Thursday, Feb. 13 No class meeting. Instead, take Test 1 in the Math Test Center, as described here.

E-HW03 Section 6.5 due Tues., Feb. 18, 11:59 pm
WR3 (Writing Assignment 3): Trig Graphs due Thursday, Feb. 20
6
6 Tuesday, Feb. 25 The Law of Cosines and the Ambiguous Case for the Law of Sines
Read: Section  7.2
Do: Section 7.1 -- 1-7, 27, 28, 31, 35, 37, 39

E-HW04 Section 6.6-6.7 due Thursday, Feb. 27, 11:59 P.M
E-HW05 Section 7.1 due Tuesday, March 4, 11:59 P.M
WR4 (Writing Assignment 4): Law of Sines and Cosines to the Rescue  (See BB) due Tuesday, March 20

Thursday: QUIZ 5 on Section 6.5-6.7
6 Thursday, Feb. 27 Read:  Section 7.2
Do:  Section 7.2 - 1, 4-8, 10, 15, 21-30, 33 and handout on Trig Identities (not for hand-in)

E-HW04 Section 6.6-6.7 due Thursday, Feb. 27, 11:59 P.M
E-HW05 Section 7.1 due Tuesday, March 4, 11:59 P.M

WR4 (Writing Assignment 4): Law of Sines and Cosines to the Rescue  (See BB) due Thursday, March 20 after Spring Break.

 Tuesday: QUIZ 6 on Section 7.1

Test 2 is outside of class in the Math Test Center (KT G18).
Covers: Sections 6.4 - 6.7 and 7.1, 7.2 (not trig equations in quadratic form)
There is no class meeting on Thursday, March 6, 2014.
Walk in with any kind of photo ID and your graphing calculator to take the test during these times

- Wed., Mar. 5 9:00 AM-7:00 PM (it closes at 8:00 pm)
- Thurs., Mar. 6 9:00 AM-7:00 PM (it closes at 8:00 pm)
- Fri., Mar. 7 9:00 AM -3:30 PM (it closes at 4:30 pm)
- Sat., Mar. 8 9:00 AM -11:00 AM (it closes at Noon)
- Mon., Mar. 17 9:00 AM - 3:30 PM (it closes at 4:30 pm)
- Tues., Mar. 18 9:00 AM - 3:30 PM (it closes at 4:30 pm)
- Wed., Mar. 19 9:00 AM -  7:00 PM (it closes at 8:00 pm)
- Thurs., Mar. 20 9:00 AM-7:00 PM (it closes at 8:00 pm)

No appointment is necessary. You will not be allowed to take the test if you arrive 1 hour or less before Math Test Center (KT G18) closes. Although the test is what would normally be given in a 75 minute period, you will have unlimited time to take it, constrained only by the hours of the test center. You can only take the test in one sitting. No notes or formula sheet, although one will be provided. (See BB for what you can expect.)
7
7 March 10 -15 Spring Break
7
7 Tuesday, Mar. 18

Trig Identities for Double Angles and Trig Equations
Read:  Section 7.3
Do: Section 7.2 - 2, 3, 5, 12, 13, 17-20, 31, 32, 40-47 and handout on Trig Equations. (See BB)

WR4 (Writing Assignment 4): Law of Sines and Cosines to the Rescue  (See BB) due Thursday, March 20.

Test Cycle opened one additional day:
Thurs., Mar. 20 9:00 AM-7:00 PM (it closes at 8:00 pm)
7 Thursday, Mar. 20

Last day to test is today, Thursday, Mar. 20

Read: Section 10.1,  10.2
Do:  Section 7.5 -- 1-21 and handout on Sum and Difference Identities.   (See BB)
E-HW06 Section 7.2, 7.3 Trig Identities and 7.5 Polar Coordinates due  Thursday, April 3.
WR 5: Using Trig Identities (See BB) due Thursday, April 3.
8
8 Tuesday, Mar. 25 Handout:  Vectors  ( (See BB)
Read: Section 10.3
 Do: Section 10.1 -- 1 - 15 and Section 10.2 -- 1-6, 8, 13-16, 19, 22, 24 and Chapter 10 Review   -- 29, 34

E-HW06 Section 7.2, 7.3 Trig Identities and 7.5 Polar Coordinates due  Thursday, April 3.
WR 5: Using Trig Identities (See BB) due Thursday, April 3.
8 Thursday, Mar. 27 Read: Section 11.1 and 11.2
Do: Section 10.3 -- 1-13, 16

E-HW06 Section 7.2, 7.3 Trig Identities and 7.5 Polar Coordinates due  Thursday, April 3.
E-HW07 10.1-10.3 due 11:59 pm., Thursday, April 10
E-HW08 Section 10.3 due 11:59 pm., Thursday, April 10
QUIZ 7 over 7.2-7.5  Tuesday, April 1 

WR 5: Using Trig Identities (See BB) due Thursday, April 3.
 
9 Tuesday, April 1 Read: Section 11.3
 Do: Section 11.1-- 1-37  Student's choice and 11.2 -- 1-9, 41-43

E-HW06 Section 7.2, 7.3 Trig Identities and 7.5 Polar Coordinates due  Thursday, April 3.
E-HW07 10.1-10.3 due 11:59 pm., Thursday, April 10
E-HW08 Section 10.3 due 11:59 pm., Thursday, April 10
WR 5: Using Trig Identities (See BB) due Thursday, April 3.
9 Thursday, April 3 Read: Section 11.3 and 11.4
 Do: 11.2 -- 1-9, 41-43

E-HW07 10.1-10.3 due 11:59 pm., Thursday, April 10
E-HW08 Section 10.3 due 11:59 pm., Thursday, April 10
WR 5: Using Trig Identities (See BB) extended to Tuesday, April 8
10
10 Tuesday, April 8 Read: Section 12.1
 Do: Section 11.3 -- 1-22 and Section 11.4 1-11  and Chapter 11 Review  1-13, 15, 18

E-HW07 10.1-10.3 due 11:59 pm., Thursday, April 10
E-HW08 Section 10.3 due 11:59 pm., Thursday, April 10
E-HW09 Section 11.1 due 11:59 pm., Tuesday, April 15
E-HW10  11.2-11.4 due 11:59 pm., Thursday, April 17
WR 6:  Job Offer (See BB) due Tuesday, April 22

Thursday, April 10: QUIZ 8 over 10.1-10.3
10 Thursday, April 10 Read: Section 12.2 and 12.3
 Do: Section 12.1 -- 1-16

E-HW07 10.1-10.3 due 11:59 pm., Thursday, April 10
E-HW08 Section 10.3 due 11:59 pm., Thursday, April 10
E-HW09 Section 11.1 due 11:59 pm., Tuesday, April 15
E-HW10  11.2-11.4 due 11:59 pm., Thursday, April 17
WR 6:  Job Offer (See BB) due Tuesday, April 22

Tuesday, April 15: QUIZ 9 over 11.1-11.4
11
11 Tuesday, April 15 Parametric Equations, continued
Read: Section 12.2 and 12.3
Do: Section 12.1 -- 17-34  and Section 12.2 -- 1-18, 20, 21  
E-HW09 Section 11.1 due 11:59 pm., Tuesday, April 15
E-HW10  11.2-11.4 due 11:59 pm., Thursday, April 17
E-HW11 Sections 12.1 and 12.2 due 11:59 pm., Thursday, April 24
E-HW12 Section 12.3 Ellipses due 11:59 pm., Thursday, April 24
WR 6:  Job Offer (See BB) due Tuesday, April 22
11 Thursday, April 17 Circles and Ellipses
Do: Section 12.2 -- 1-18, 20, 21 and Section 12.3 -- 1-10, 17a, 18, 19
E-HW09 Section 11.1 due 11:59 pm., Tuesday, April 15.
E-HW10  11.2-11.4 due 11:59 pm., Thursday, April 17.
E-HW11 Sections 12.1 and 12.2 due 11:59 pm., Thursday, April 24.
E-HW12 Section 12.3 Ellipses due 11:59 pm., Thursday, April 24.
WR 6:  Job Offer (See BB) due Tuesday, April 22.
 


Test 3 outside of class. See Review sheet on BB for details.
12
12 Tuesday, April 22

QUIZ 10 over 12.1-12.3

Hyperbolas
Do: Section 12.4 -- 1 - 4, 9, 10, 11a

  • E-HW11 Sections 12.1 and 12.2 due 11:59 pm., Thursday, April 24.

  • E-HW12 Section 12.3 Ellipses due 11:59 pm., Thursday, April 24
12 Thursday, April 24 No class meeting. Take Test 3 outside of class.

Test Cycle currently is open one additional day:
Sat., April 26 9:00 AM-11:00 AM (it closes at noon)

See Blackboard for a review sheet.
13
13 Tuesday, April 29

Section 7.6 and Review for the Final.
Section 7.6 -- 1-14, 17-25

See the packet and key in the folder "Reviews for Exams" on BB.
 

  • E-HW11 Sections 12.1 and 12.2 due 11:59 pm., Sunday, May 1-12.3 given4.

  • E-HW12 Section 12.3 Ellipses due 11:59 pm., Sunday, May 4

Thursday, April 24: QUIZ 11 over 12.4 and 7.6
13 Thursday, May 1
 

This page is on the Web at http://users.ipfw.edu/lamaster/ma154/ma154s14.htm