MA 15400 Course Assignments

 

Class meeting Topic Assignment


Monday,
August 20

 

 Section 7.1
Periodic Functions		 Handouts: Ferris Wheel  (See pictures of the London Eye: 1  2 3)
                Syllabus
                Internet Resources (with a link to the General Course Information)
                Practice Questions to Check Prerequisite Skills Needed for MA 15400

Due: Wednesday, August 22
Read: General Course Information, the Syllabus, and Section 7.1 and 7.2
Do:     (for practice, not hand-in) Section 7.1 -- your choice of 1-17, 23-34 as needed
           and purchase a TI-83 Plus or TI-84 Plus or TI-84 Plus CE or equivalent and an eHW access code if necessary.
           Note: the access code is good for one year. Last semester's code will work.
           Review Practice Questions to Check Prerequisite Skills Needed for MA 15400 and see these Worked out Solutions.
          You should also be proficient in these skills needed for MA 15300.

Prepare for QUIZ 1 over Prerequisite Skills on Monday, August 27.
Due Friday, August 31, 11:59 pm: E-HW 0 General Course Information and Using eHW.   
Wednesday,
August 22		 Section 7.2
The Sine Function
(and its Sidekick, Cosine)		 Handout: Bug on a Circular Track

Read: Section 7.3 
Do (for practice): Section 7.2 -- 1, 3, 5-31

Prepare for QUIZ 1 over Prerequisite Skills on Monday, August 27.
Due Friday, August 31, 11:59 pm: E-HW 0 General Course Information and Using eHW.   
Due Friday, August 31, 11:59 pm: E-HW 01 Sections 7.1 - 7.2
Friday
August 24		 Section 7.3
Radians
Handout: Bug on a Square Track


Read: Chapter 7 Skills Refresher
Do: Section 7.3 -- 1-56 as desired (for practice)

Prepare for QUIZ 1 on Monday, August 27 over prerequisite skills
Due Friday, August 31, 11:59 pm: E-HW 0 General Course Information and Using eHW.   
Due Friday, August 31, 11:59 pm: E-HW 01 Sections 7.1 - 7.2
Due Friday, Sept. 7 Writing Assignment 1: Bug on a Square Track

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.
Monday,
August 27		 Chapter 7 Skills Refresher
Special Angles		 Today:  QUIZ 1 over Prerequisites
Read: Section 7.4
Do: Skills Refresher (page 325) -- 25-30 (for practice)

Due Friday, August 31, 11:59 pm: E-HW 0 General Course Information and Using eHW.   
Due Friday, August 31, 11:59 pm: E-HW 01 Sections 7.1 - 7.2

Due Wednesday, Sept. 5, 11:59 pm: E-HW 02 Sections 7.3
Due Friday, Sept. 7 Writing Assignment 1: Bug on a Square Track
Wednesday,
August 29		 Chapter 7 Skills Refresher
Special Angles cont'd		 Today:  Special Angles
Read: Section 7.4 and Section 7.5
Do: Skills Refresher for Chapter 7  (page 324) -- 1 - 24, 26-31  (for practice)

Friday, Aug. 31: QUIZ 2 over 7.1 and 7.2

Due Friday, August 31, 11:59 pm: E-HW 0 General Course Information and Using eHW.   
Due Friday, August 31, 11:59 pm: E-HW 01 Sections 7.1 - 7.2
Due Wednesday, Sept. 5, 11:59 pm: E-HW 02 Sections 7.3
Due Friday, Sept. 7, 11:59 pm: E-HW 03 Chapter 7 Skills Refresher
Due Friday, Sept. 7: Writing Assignment 1: Bug on a Square Track
Due Monday, Sept. 10: Writing Assignment 2: What's My Angle?
Friday
August 31		 Section 7.4
Graphs of the Sine and Cosine (and Outside Changes to the Formula)		 Today:  QUIZ 2 over 7.1 and 7.2 and the graph of y = Asin(x) + k (Outside additive and multiplicative changes)

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).  
     

  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).  

The first multiplies the output by a quantity; the second adds/subtracts a quantity to the output.


Read:  Section 7.5
Do: Section 7.4 -- 1-24, 26-30, 34-38 (for practice)

Due Friday, August 31, 11:59 pm: E-HW 0 General Course Information and Using eHW.   
Due Friday, August 31, 11:59 pm: E-HW 01 Sections 7.1 - 7.2
Due Wednesday, Sept. 5, 11:59 pm: E-HW 02 Sections 7.3
Due Friday, Sept. 7, 11:59 pm: E-HW 03 Chapter 7 Skills Refresher
Due Friday, Sept. 7: Writing Assignment 1: Bug on a Square Track
Due Monday, Sept. 10: Writing Assignment 2: What's My Angle?

Class meeting Topic Assignment
Monday,
Sept. 3		 Holiday No class meeting. Enjoy the Labor Day holiday.
Wednesday,
Sept. 5		 Section 7.5
The graph of
y = sin(Bx)
(Inside multiplicative change)		 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.

Read:  Section 7.5
Do: Section 7.5 -- 1-12, 21-26 (for practice)

Due tonight, Wednesday, Sept. 5, 11:59 pm: E-HW 02 Sections 7.3
Friday, Sept. 7: QUIZ 3 over 7.3 and Chapter 7 Skills Refresher
Due Friday, Sept. 7, 11:59 pm: E-HW 03 Chapter 7 Skills Refresher
Due Friday, Sept. 7: Writing Assignment 1: Bug on a Square Track
Due Monday, Sept. 10: Writing Assignment 2: What's My Angle?
Friday
Sept. 7		 Section 7.5
the graph of
y = Asin(B(x-h))
(Inside additive change)		 Today:  Continued Section 7.5. 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.

Read:  Section 7.6 and 7.7
Do: Section 7.5 -- 27-31, 37, 38, 44-50 (for practice)

Due tonight, Friday, Sept. 7, 11:59 pm: E-HW 03 Chapter 7 Skills Refresher
Due Monday, Sept. 10: Writing Assignment 2: What's My Angle?
Class meeting Topic Assignment
Monday,
Sept. 10		 Today:  The Horizontal Shift and Phase Shift

Due Wednesday, Sept. 12
Read:  Section 7.6 and 7.7
Do: Section 7.5 -- 27-31, 37, 38, 44-50 (for practice)
 
Due Friday, Sept. 14, 11:59 pm: E-HW 04 Section 7.4 and 7.5
Due Monday, Sept. 17: Writing Assignment 3: Trig Graphs
Wednesday,
Sept. 12		 Today:  Section 7.6 The Tangent Function

Due Friday, Sept. 14
 Read: Section 7.7 and 7.8
Do: Section 7.6  -- 1-36 (for practice)

Friday, Sept 14: QUIZ 4 over 7.4 and 7.5

Due Friday, Sept. 14, 11:59 pm: E-HW 03 Section 7.4 and 7.5
Due Monday, Sept. 17: Writing Assignment 3 Trig Graphs

Test 1 next week in the Math Test Center. See BB for a review sheet and details.
Friday
Sept. 14		 Today: Section 7.7
Reciprocal Functions and Pythagorean Identities		 Due Monday, Sept. 17

Read: Section 7.8 and 8.1
Do: Section 7.7  -- 1-25, 32-35 (for practice)

Due Friday, Sept. 14, 11:59 pm: E-HW 03 Section 7.4 and 7.5
Due Monday, Sept. 17: Writing Assignment 3 Trig Graphs

Test 1 next week. See Review Sheet. This is in the folder Reviews for Exams on Blackboard.

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