MA 154 Fall 2009
MWF 9:00-9:50 or MWF 11:00-11:50

WR1 (Writing Assignment 1): The Saga of Sasha and Malia due Friday, August 28, 2009  Click HERE.
WR2 (Writing Assignment 2): Ferris Wheel due Monday, Aug. 31, 2009  Click HERE.

Due 11:59 pm Wednesday, Sept. 9: E-HW 0 General Course Information

Due 11:59 pm Wednesday, Sept. 9: E-HW 0 General Course Information

Handout: Bug on a Circular Track Discussed Section 6.2, Question 27. 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. We looked at converting angles from degrees to radians and vice versa, with and without a calculator. Read: Section 6.4 Do:  6.3 -- 1 through 19

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.

WR3 (Writing Assignment 3): Bug on a Square Track due Wednesday, Sept. 9:  Click HERE.

E-HW 0 General Course Information due 11:59 pm Wednesday, Sept. 9 Click HERE.
E-HW01 Sections 6.1-6.3 due 11:59 pm Friday, Sept. 11 Click HERE.

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, September 11
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)

E-HW 0 Section 6.1-6.3 due tonight, 11:59 pm Click HERE.
E-HW01 Sections 6.1-6.3 due 11:59 pm Friday, Sept. 11 Click HERE.

E-HW01 Sections 6.1-6.3 due tonight 11:59 pm  Click HERE.
E-HW02 Sections 6.1-6.3 due Wed., Sept. 16 11:59 pm  Click HERE.
E-HW03 Section 6.5 due Friday, Sept. 18 11:59 pm   Click HERE.

Monday: QUIZ 4 on Section 6.4
WR4: Trig Graphs due Wednesday, Sept. 16, 2009  Click HERE.

Looked at these graphs.

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

E-HW02 Ch 6 Tools and Section 6.4 due Wed., Sept. 16 11:59 pm  Click HERE.
E-HW03 Section 6.5 due Friday, Sept. 18 11:59 pm   Click HERE.

Test 1 over 6.1-6.6 and Chapter 6 Tools on Friday, September 25, 2009. Here is a REVIEW.

E-HW04 Section 6.6 and 6.7
E-HW05 Section 7.1 and 7.2

Due Wednesday, 11:59 pm Oct 21:
E-HW05 Section 7.1 and 7.2
E-HW06 Ch 7 

Here's a Review Sheet  for Test 2 for Friday, Oct. 23

Here's a Review Sheet  for Test 2 for Friday, Oct. 23

E-HW09  11.1 due Wednesday, 11:59 pm Nov 11   Click HERE.
E-HW10  11.2-11.4 due Monday, 11:59 pm Nov 16   Click HERE.

Due Friday, Nov 14: Writing Assignment 6: A Prescribed Ritalin Regimen 

Read: Section 12.3
Do: Section 12.2 -- 1-18, 20, 21

E-HW10  11.2-11.4 due Monday, 11:59 pm Nov 16   Click HERE

Read: Section 12.4
Do: Section 12.3 -- 1-10, 17a, 18, 19, 22

E-HW10  11.2-11.4 due 11:59 pm tonight   Click HERE