# MA 15400 Course Assignments

Class meeting Topic Assignment

Tuesday, Jan. 8

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: Thursday, January 10
General Course Information, the Syllabus, and Section 7.1 and 7.2
Do:
If necessary, purchase a TI-83 Plus/TI-84 Plus or equivalent and purchase eHW access.
Note: access is good for one year.
Practice on eHW Flash Cards: 7.1 Periodic Functions.
Optional: Section 7.1 -- your choice of 1-17, 23-34 as needed.
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 next Tuesday, Jan. 15 over prerequisite skills.

Due Thursday, Jan. 17, 11:59 pm: E-HW 0 - Part 1: John's Syllabus and E-HW0 - Part 2: General Course Information and Using eHW
Due Thursday, Jan. 17, 11:59 pm:  E-HW 01 Sections 7.1 - 7.2

Thursday, Jan. 10 Section 7.2
The Sine Function
(and its Sidekick, Cosine)
Due: Tuesday, Jan. 15
Practice on eHW Flash Cards:  7.2 Use the definitions of sine and cosine and 7.2 Report the coordinates of a point on a circle of radius r given the angle

Optional:
Section 7.2 -- 1-31, 33-35 and read Section 7.3.

Prepare for QUIZ 1 Tuesday, Jan. 15 over prerequisite skills.

Due Thursday, Jan. 22, 11:59 pm (extended): E-HW 0 - Part 1: John's Syllabus and
E-HW 0 - Part 2: General Course Information and Using eHW
E-HW 01 Sections 7.1 - 7.2
Due Tuesday, Jan. 22, 11:59 pm:  E-HW 02 Section 7.3

Class meeting Topic Assignment
Tuesday, Jan. 15 Section 7.3 Radians
Took QUIZ 1 over prerequisites.
Chapter 7 Skills Refresher
Optional: Section 7.3 -- 1-56 as desired and read Chapter 7 Skills Refresher
Practice on eHW Flash Cards:  7.3 Degrees <=> Radians
7.3 Arc Length of a Sector
 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 Tuesday, Jan. 22, 11:59 pm (extended): E-HW 0 - Part 1: John's Syllabus and
E-HW 0 - Part 2: General Course Information and Using eHW
E-HW 01 Sections 7.1 - 7.2
Due Tuesday, Jan. 22, 11:59 pm:  E-HW 02 Section 7.3
Due Thursday, Jan. 24 - Writing Assignment 1: Bug on a Square Track
Thursday, Jan. 17 Today:  Special Angles

Handout: Unit circle with exact values
We worked some problems from Writing Assignment 2 on finding angles in radians (exactly).

Due: Tuesday, Jan. 22
Practice on eHW Flash Cards:  Chapter 7 Skills Refresher Properties of Special Triangles
Chapter 7 Skills Refresher Exact Values of Sine and Cosine

Optional: Skills Refresher for Chapter 7  -- 1 - 32 and read Section 7.4

Tuesday, Jan. 22
:
QUIZ 2 over 7.1 and 7.2

Due Tuesday, Jan. 22, 11:59 pm (extended): E-HW 0 - Part 1: John's Syllabus and
E-HW 0 - Part 2: General Course Information and Using eHW
E-HW 01 Sections 7.1 - 7.2
Due Tuesday, Jan. 22, 11:59 pm:  E-HW 02 Section 7.3
Due Thurs., Jan. 24, 11:59 pm: E-HW 03 Chapter 7 Skills Refresher
Due Thurs., Jan. 24 - Writing Assignment 1: Bug on a Square Track
Due Tuesday, Jan. 29 - Writing Assignment 2: What's My Angle?
Class meeting Topic Assignment
Tuesday, Jan. 22 Section 7.4 Graphs of Sine and Cosine 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 the same holds for y = cos(x).
(See Section 6.1 and 6.2  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 the same holds for y = cos(x).
(See Section 2.4 for a review of these topics.)

The first multiplies the output by a quantity; the second adds/subtracts a quantity to the output.
For the function y = Asinx + k or y = Acosx + k
we explored the effects of  A and k to find that this graph has an amplitude of  |A|, and midline which is y = k.

Due: Thursday, Jan. 24
Optional:
Section 7.4 -- 1-24, 26-30, 34-38 and Chapter 7 Review 14a, 14d, 19-24, 51, 52, 69-71 and read Section 7.5
Practice on eHW Flash Cards:  7.4 Period, Amplitude, Midline

Due tonight, Tuesday, Jan. 22, 11:59 pm (extended): E-HW 0 - Part 1: John's Syllabus and
E-HW 0 - Part 2: General Course Information and Using eHW
E-HW 01 Sections 7.1 - 7.2
Due tonight, Tuesday, Jan. 22, 11:59 pm:  E-HW 02 Section 7.3
Due Thurs., Jan. 24, 11:59 pm: E-HW 03 Chapter 7 Skills Refresher
Due Thurs., Jan. 24 - Writing Assignment 1: Bug on a Square Track
Due Tuesday, Jan. 29 - Writing Assignment 2: What's My Angle?
Thursday, Jan. 24 Section 7.5
The graph of
y
= sin(Bx)
(Inside multiplicative change)

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.

Due tonight, Thurs., Jan. 24, 11:59 pm: E-HW 03 Chapter 7 Skills Refresher

Due Tuesday, Jan. 29
Practice on eHW Flash Cards: 7.5 Find a Formula of a Sine or Cosine Function (No Phase Shift Needed)
7.5 Find a Formula of a Sine or Cosine Function (Ferris Wheel)

Optional: Section 7.5 -- 1-12, 21-26 and read Section 7.5 and, if needed, Sections 2.4, 6.1, 6.2

Tuesday, Jan. 29:
QUIZ 3 over Section 7.3 and Chapter 7 Skills Refresher

Due Tuesday, Jan. 29 - Writing Assignment 2: What's My Angle?

Class meeting Topic Assignment
Tuesday, Jan. 29 Section 7.5
For positive values of
A, B, h, k, and φ
we explored the graph of
y
= Asin(B(xh)) + k or
y = Asin(Bxφ) + k
where h is the
horizontal
shift to the right and
where φ = Bh is the
phase shift to the right.
Today:  QUIZ 3 over 7.3 and Chapter 7 Skills Refresher
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.

Due Tuesday, Jan. 29
Practice on eHW Flash Cards: 7.5 Find Phase Shift
7.5 Find a Formula of a Sine or Cosine Function (Phase Shift Needed)

Optional:  Section 7.5 -- 27-31, 37, 38, 44-50 and read Section 7.6 and, if needed, Sections 2.4, 6.1, 6.2
Due Tuesday, Feb. 5
• 11:59 pm: E-HW 03 Section 7.4 and 7.5
• Writing Assignment 3: Trig Graphs
Thursday, Jan. 31 Building Closed. If Indiana Daylight Hours vs. Time were modeled as an upside down cosine graph (see below)
but over an interval of [0, 2π],
then today marks a special point between the Winter Solstice and the Vernal Equinox
which roughly correspond to π/6,
or one twelfth of the period.

"Groundhog Day" and the European feast called "Candlemas" are other popular ways this moment is marked..

In tribute to "π/6 Day", the Purdue Fort Wayne campus has given all students the day off to celebrate
(despite what you have heard about some other reason like a winter storm).

To enjoy the festivities, find the amplitude, midline, and formula of this graph and
use it to determine today's number of daylight hours.

Adapted from Duration of Daylight Tables

Tuesday, Feb. 5:  QUIZ 4 over Section 7.4 and 7.5

Due Tuesday, Feb. 5
• 11:59 pm: E-HW 03 Section 7.4 and 7.5
• Writing Assignment 3: Trig Graphs
Test 1 next week. See review sheet. This is in the folder Reviews for Exams on Blackboard.
Class meeting Topic Assignment
Tuesday, Feb. 5 Section 7.6 The Tangent Function Today:  QUIZ 4 over 7.4-7.5.  Also WR3 Trig Graphs is due today.

No class meeting
, Thursday, Feb. 7. You can come to our classroom for a Review Session any time from 9:00 - 11:45 AM
Due Tuesday, Feb. 12
Practice on eHW Flash Cards: 7.6 Graph of y = AtanBx

Optional:
Section 7.6  -- 1-20
Due Tuesday, Feb. 5 (tonight), 11:59 pm:  E-HW 04 Section 7.4 and 7.5
Due Tuesday, Feb. 19, 11:59 pm:  E-HW 05 Section 7.6 -7.8

Test 1 this week. See review sheet. This is in the folder Reviews for Exams on Blackboard.
Wed., Feb. 6 Walk-in testing available. You can take Test 1 in the Math Test Center (KT G18) Wed., Feb. 6 from  9:00 AM - 7:00 PM.
(It closes at 8:00 pm)
Thursday, Feb. 7 No class meeting
Walk-in testing available.
No class meeting, but a review session, same time and place as when we have class.. (See Review sheet on BB in the folder Reviews for Exams.)
You can take Test 1 in the Math Test Center (KT G18) Thurs., Feb. 7,  9:00 AM-7:00 PM
(It closes at 8:00 pm.)
Friday, Feb. 8 Walk-in testing available. You can take Test 1 in the Math Test Center (KT G18) Fri., Feb. 8,  9:00 AM - 3:30 PM
(It closes at 4:30 pm.)
This is the last day to take the test.
Class meeting Topic Assignment
Tuesday, Feb. 12 The Reciprocal Functions and Inverse Functions and  Right Triangle Trigonometry with SohCahToa and Pythagoras  Due: Thursday, Feb. 14
Practice on eHW Flash Cards:    7.7 Find exact values of all six trig functions of any angle
7.8 Solve trig equations for the exact value of the angle WITHOUT a calculator

7.8 Solve trig equations for the exact value of the angle WITH a calculator
8.1 Use right triangle definitions if given two sides
8.1 Use right triangle definitions if given the angle and a sides

Optional:  Section 7.7  -- 1-20 and Section 7.8 -- 1-33 and Section 8.1  -- 1-47 as desired

Due Tuesday, Feb. 19, 11:59 pm:  E-HW 05 Section 7.6 -7.8
Due Thursday, Feb. 21, 11:59 pm:  E-HW 06 Section 8.1

Writing Assignment 4: The Golden Arch due Tuesday, Feb. 26
Thursday, Feb. 14 Solving Triangles Due: Tuesday, Feb. 19
Practice on eHW Flash Cards:    7.8 Given the slope, find the angle of inclination
8.1 Use right triangle definitions - applications
8.2 Use Law of Sines or Law of Cosines to Solve Triangles

Optional: Section 8.2  -- 1-5, 7, 8, 32 - 35, 37, 41

Due Tuesday, Feb. 19, 11:59 pm:  E-HW 05 Section 7.6 -7.8
Due Thursday, Feb. 21, 11:59 pm:  E-HW 06 Section 8.1
Due Tuesday, Feb. 26: Writing Assignment 4: The Golden Arch

Tuesday, Feb. 19: QUIZ 5 over Section 7.6-7.8

Class meeting Topic Assignment
Tuesday, Feb. 19 The Law of Cosines and the Ambiguous Case of the Law of Sines Due: Thursday, Feb. 21
Practice on eHW Flash Cards:
8.2 Use Law of Sines or Law of Cosines to Solve Triangles
8.2 Determine the number of triangles that are possible
8.2 The Ambiguous Case

Optional: Section 8.2  -- 6, 9-31,36,40, 42-44, 47, 48

Due tonight, Tuesday, Feb. 19, 11:59 pm:  E-HW 05 Section 7.6 -7.8
Due Thursday, Feb. 21, 11:59 pm:  E-HW 06 Section 8.1
Due Tuesday, Feb. 26, 11:59 pm: E-HW 07 Section 8.2
Due Tuesday, Feb. 26: Writing Assignment 4: The Golden Arch
Due Thursday, March 14: Writing Assignment 5: The Law of Sines and Cosines to the Rescue
Thursday, Feb. 21 Polar Coordinates (8.3), Solving Trig Equations Graphically (9.1), and Trig Identities (9.2)

Due: Tuesday, Feb. 26
Optional:
Section 8.3  -- 1-22 and Section 9.1 -- 1-30, 38, 39, 41 and 9.2 -- 9-12

Due tonight, Thursday, Feb. 21, 11:59 pm:  E-HW 06 Section 8.1 Right Triangle Trigonometry
Due Tuesday, Feb. 26, 11:59 pm: E-HW 07 Section 8.2 Law of Sines and Cosines
Due Thursday, Feb. 28, 11:59 pm: E-HW 08 Section 8.3 and 9.1
Due Tuesday, March 12, 11:59 pm: E-HW 09 Section 9.2 Identities

Due Tuesday, Feb. 26: Writing Assignment 4: The Golden Arch
Due Tuesday, March 12: Writing Assignment 5: The Law of Sines and Cosines to the Rescue

Tuesday, Feb. 26: QUIZ 6 over Section 8.1-8.2, and 9.1
Class meeting Topic Assignment
Tuesday, Feb. 26 Double Angle Identities Read: Section 9.2
Optional:
Section 9.2 --  13, 15, 19 - 30, 55 - 58

Due tonight, Tuesday, Feb. 26, 11:59 pm: E-HW 07 Section 8.2 Law of Sines and Cosines
Due Thursday, Feb. 28, 11:59 pm: E-HW 08 Section 8.3 and 9.1
Due Tuesday, March 12, 11:59 pm: E-HW 09 Section 9.2 Identities

Due Tuesday, March 12: Writing Assignment 5: The Law of Sines and Cosines to the Rescue

Test 2  begins this week. See review sheet. This is in the folder Reviews for Exams on Blackboard.
Thursday, Feb. 28 Review No class meeting. Instead, join us in KT 218 for a review for Test 2 from 9:00 AM - 11:45 AM
Class meeting Topic Assignment
Tuesday, Mar. 12 Section 9.2 Trig Equations  Due Thursday, March. 14
Do (for practice): Section 9.2  -- 13, 15, 27 - 30, 35, 54 - 58

Due tonight, Tuesday, March 12, 11:59 pm: E-HW 09 Section 9.2 Identities

Due Thursday, March 14 (extended): Writing Assignment 5: The Law of Sines and Cosines to the Rescue
Test 2 continues this week. See review sheet. This is in the folder Reviews for Exams on Blackboard.

NEW
: You can have up to Friday, March 15 to take Test 2. Dates have been extended. Note the hours of the Test Center.

• Mon., Mar. 11 9:00 AM -3:30 PM (it closes at 4:30 pm)
• Tues., Mar. 12 9:00 AM -3:30 PM (it closes at 4:30 pm)
• Wed., Mar. 13 9:00 AM-7:00 PM (it closes at 8:00 pm)
• Thurs., Mar. 14 9:00 AM-7:00 PM (it closes at 8:00 pm)
• Fri., Mar. 15 9:00 AM -3:30 PM (it closes at 4:30 pm)
Thursday, Mar. 14
Sum and Difference Identities 9.3 , Function Composition and Decomposition (10.1), and Inverses (10.2) Due Tuesday, March 19
Do (for practice):
Section 9.3  -- 1-8, 17 , 18, Section 10.1 -- 4-25, 31, 37-50, 64, 65 and Section 10.2 -- 1-10, 12-34, 37-43, 47-49, 58, 82

Due Thursday, March 21, 11:59 pm: E-HW 10 Section 9.2 and 9.3

Due Tuesday, March 26, 11:59 pm: E-HW 11 Section 10.1-10.2 Composition, Decomposition, and Inverses

NEW: You can have up to Friday, March 15 to take Test 2. Dates have been extended. Note the hours of the Test Center.
• Mon., Mar. 11 9:00 AM -3:30 PM (it closes at 4:30 pm)
• Tues., Mar. 12 9:00 AM -3:30 PM (it closes at 4:30 pm)
• Wed., Mar. 13 9:00 AM-7:00 PM (it closes at 8:00 pm)
• Thurs., Mar. 14 9:00 AM-7:00 PM (it closes at 8:00 pm)
• Fri., Mar. 15 9:00 AM -3:30 PM (it closes at 4:30 pm)
Class meeting Topic Assignment
Tuesday, Mar. 19 Vectors (12.1 and 12.2)  Due Thursday, March. 21
Do (for practice): Section 12.1 -- 16-20, 24 and 12.2 -- 1-2, 4, 5, 8, 13-18, 21, 23, 25-27 and Chapter 12 Review -- 12, 29, 34, 35, 37

Due Thursday, March 21, 11:59 pm: E-HW 10 Section 9.2 and 9.3
Due Tuesday, March 26, 11:59 pm: E-HW 11 Section 10.1-10.2 Composition, Decomposition, and Inverses
Due Thursday, March 28, 11:59 pm: E-HW 12 Sections 12.1-12.2

Thursday, March 21: QUIZ 7 on 9.2 and 9.3

Thursday, Mar. 19