# Welcome to John's MA 15400 Course Home Page

Course Assignments

Class Date Assignment
1   Monday, August 24

Handouts: Ferris Wheel  (See pictures of the London Eye: 1  2 3)
Syllabus
General Course Information

Due: Wednesday, August 26
General Course Information, the Syllabus, and Section 7.1 and 7.2
Do:
Section 7.1 -- your choice of 1-17, 23-34 as needed.
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 Monday, August 31 over prerequisite skills in the handout.
Due Friday, Sept. 4, 11:59 pm: E-HW 0 General Course Information and Using eHW.
1   Wednesday, August 26 Introduced the star of our show: the sine function (and its sidekick, the cosine function)
Do: Section 7.2 -- 1, 3,5-31

Prepare for QUIZ 1 next Monday, August 31 over prerequisite skills in General Course Information packet and review "Practice Questions to Check MA 153 Skills".
Due Friday, Sept. 4, 11:59 pm: E-HW 0 General Course Information and Using eHW and E-HW 01 Sections 7.1 - 7.2.
1   Friday, August 28
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.
Read: Chapter 7 Skills Refresher
Do: Section 7.3 -- 1-56 as desired

Prepare for QUIZ 1 next Monday, August 31 over prerequisite skills in General Course Information packet and review "Practice Questions to Check MA 153 Skills".
Due Friday, Sept. 4, 11:59 pm: E-HW 0 General Course Information and Using eHW
Due Friday, Sept. 4, 11:59 pm: E-HW 01 Sections 7.1 - 7.2
Due Monday, Sept. 7, 11:59 pm: E-HW 02 Section 7.3
Due Friday, Sept. 11 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.

2   Monday, August 31 Today:  QUIZ 1 over Prerequisites
Due Friday, Sept. 4, 11:59 pm: E-HW 0 General Course Information and Using eHW
Due Friday, Sept. 4, 11:59 pm: E-HW 01 Sections 7.1 - 7.2
Due Monday, Sept. 7, 11:59 pm: E-HW 02 Section 7.3
Due Friday, Sept. 11: Writing Assignment 1: Bug on a Square Track
2   Wednesday, September 2 Today:  Special Angles
Read: Section 7.4 and Section 7.5
Do: Skills Refresher for Chapter 7  -- 1 - 32
Friday, Sept. 4: QUIZ 2 over 7.1 and 7.2

Due Friday, Sept. 4, 11:59 pm: E-HW 0 General Course Information and Using eHW
Due Friday, Sept. 4, 11:59 pm: E-HW 01 Sections 7.1 - 7.2
Due Wednesday, Sept. 9, 11:59 pm: E-HW 02 Section 7.3
Due Friday, Sept. 11: Writing Assignment 1: Bug on a Square Track
Due Monday, Sept. 14: Writing Assignment 2: What's My Angle?

2   Friday, September 4 Today:  QUIZ 2 over 7.1 and 7.2

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.

Section 7.5
Do: Section 7.4 -- 1-24, 26-30, 34-38
No class meeting Monday, Sept. 7

Due Friday, Sept. 4, 11:59 pm: E-HW 0 General Course Information and Using eHW
Due Friday, Sept. 4, 11:59 pm: E-HW 01 Sections 7.1 - 7.2
Due Wednesday, Sept. 9, 11:59 pm: E-HW 02 Section 7.3
Due Friday, Sept. 11: Writing Assignment 1: Bug on a Square Track
Due Monday, Sept. 14: Writing Assignment 2: What's My Angle?

3   Monday, September 7 No class meeting. Labor Day.
3   Wednesday, September 9 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.

Section 7.5
Do: Section 7.5 -- 1-12, 21-26

Friday, Sept. 11: QUIZ 3 over 7.3 and Chapter 7 Skills Refresher

Due Wednesday, Sept. 9, 11:59 pm: E-HW 02 Section 7.3 and Chapter 7 Skills Refresher
Due Friday, Sept. 11: Writing Assignment 1: Bug on a Square Track
Due Monday, Sept. 14: Writing Assignment 2: What's My Angle?

3   Friday, September 11 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.

Section 7.6 and 7.7
Do: Section 7.5 -- 27-31, 37, 38, 44-50

Due Friday, Sept. 18, 11:59 pm: E-HW 03 Section 7.4 and 7.5

Due Monday, Sept. 14: Writing Assignment 2: What's My Angle?
Due Friday, Sept. 18: Writing Assignment 3: Trig Graphs

4   Monday, September 14 For the function y = AtanBx
we explored the effects of  B on the period to find that,
for positive values of B, this graph has a period of  π/B and a vertical stretch/compression of  |A|.
Its vertical asymptotes are found by solving the equation Bx = ±π/2, ±3π/2, ±5π/2, ...
Its zeros are found by solving the equation Bx = 0, ±π,  ±2π, ±3π, ...
Midway between a zero and an asymptote the graph has y-coordinate A.

Do: Section 7.6  -- 1-20, 23-36

Wednesday: QUIZ 4 over 7.4 and 7.5

Due Friday, Sept. 18: Writing Assignment 3: Trig Graphs
Due Friday, Sept. 18, 11:59 pm: E-HW 03 Section 7.4 and 7.5

4   Wednesday, September 16 The Reciprocal Functions and Pythagorean Identities.

Do: Section 7.7  -- 1-25, 32-35

Due Friday, Sept. 18: Writing Assignment 3: Trig Graphs
Due Friday, Sept. 18, 11:59 pm: E-HW 03 Section 7.4 and 7.5

Test 1 next week. See review sheet on Blackboard.

4   Friday, September 18 The Reciprocal Functions and Pythagorean Identities.

Do: Section 7.8  -- 1-33

Due tonight, Friday, Sept. 18, 11:59 pm: E-HW 03 Section 7.4 and 7.5

Test 1 next week. See review sheet on Blackboard.

5   Monday, September 21 Right Triangle Trigonometry:  SohCahToa and Pythagoras
Read: Section 8.1 and 8.2
Do: Section 8.1  -- 1-47 as desired.
5   Tuesday, September 22

The test is outside of class in the Math Test Center (KT G18).
Covers: Chapters 7.1 - 7.5, Chapter 7 Skills Refresher, and Writing Assignments WR1, WR2, and WR3.
Walk in with any kind of photo ID and your graphing calculator to take the test.
Math Test Center (KT G18) is open Tues., Sept. 22 9:30 AM - 3:30 PM (it closes at 4:30 pm)

5   Wednesday, September 23 No class meeting, but a review session from 9:00 AM - 111:00 AM. (See  Review sheet on BB in the folder Reviews for Exams.)

Math Test Center (KT G18)  is open Wed., Sept. 23 9:30 AM - 7:00 PM (it closes at 8:00 pm)

5   Tuesday, September 24 Math Test Center (KT G18) is open Thurs., Sept. 24 9:00 AM-7:00 PM (it closes at 8:00 pm)  - last day to take the test.
5   Friday, September 25 Read: Section 8.1 and 8.2
Do: Section 8.2  -- 1-5, 7, 8, 32 - 35, 37, 41

6   Monday, September 28 Read: Section 8.3
Do: Section 8.2  -- 6, 9-31,36,40, 42-44, 47, 48
Due Monday, Oct 5: Writing Assignment 4: The Golden Arch
Due Wednesday, Oct. 7, 11:59 pm: E-HW 05 Section 8.1
6   Wednesday, September 30

Do: Section 8.3  --1-22

E-HW 05 Section 8.1 Right Triangle Trig due 11:59 PM Monday, Oct. 5
E-HW 06 Section 8.2 Law of Sines and Cosines due 11:59 PM Wednesday, Oct. 7
E-HW 07 Section 8.3 Polar Coordinates due 11:59 PM Friday, Oct. 9

QUIZ 5 on Section 8.1 and 8.2 for Friday, Oct.2

Due Monday, Oct 5: Writing Assignment 4: The Golden Arch
Due Friday, Oct 9: Writing Assignment 5: Law of Sines and Cosines to the Rescue

6   Friday, Oct. 2

Do: Section 8.3  --23-30, 42-46
E-HW 05 Section 8.1 Right Triangle Trig due 11:59 PM Monday, Oct. 5
E-HW 06 Section 8.2 Law of Sines and Cosines due 11:59 PM Wednesday, Oct. 7
E-HW 07 Section 8.3 Polar Coordinates due 11:59 PM Friday, Oct. 9

Due Monday, Oct 5: Writing Assignment 4: The Golden Arch
Due Friday, Oct 9: Writing Assignment 5: Law of Sines and Cosines to the Rescue

7
7   Monday, October 5

Do: Section 9.1  -- 1-11, 15-31, 33, 34, 38, 39, 41
E-HW 05 Section 8.1 Right Triangle Trig due 11:59 PM Monday, Oct. 5
E-HW 06 Section 8.2 Law of Sines and Cosines due 11:59 PM Wednesday, Oct. 7
E-HW 07 Section 8.3 Polar Coordinates due 11:59 PM Friday, Oct. 9
Due Friday, Oct 9: Writing Assignment 5: Law of Sines and Cosines to the Rescue

7   Wednesday, October 7 Read: Section 9.3
Do: Section 9.2  -- 1-12, 14, 16-26, 31, 32

E-HW 04 Section 7.6 7.7 due 11:59 PM Friday, Oct. 9
E-HW 05 Section 8.1 Right Triangle Trig due 11:59 PM Friday, Oct. 9
E-HW 06 Section 8.2 Law of Sines and Cosines due 11:59 PM Friday, Oct. 9
E-HW 07 Section 8.3 Polar Coordinates due 11:59 PM Friday, Oct. 9
Due Friday, Oct 9: Writing Assignment 5: Law of Sines and Cosines to the Rescue

Friday, QUIZ 6 on 8.3

7   Friday, October 9 Read: Section 9.3 and 10.1
Do: Section 9.2  -- 13, 15, 27 - 30, 35, 54 - 58

E-HW 04 Section 7.6 7.7 due 11:59 PM Friday, Oct. 9
E-HW 05 Section 8.1 Right Triangle Trig due 11:59 PM Friday, Oct. 9
E-HW 06 Section 8.2 Law of Sines and Cosines due 11:59 PM Friday, Oct. 9
E-HW 07 Section 8.3 Polar Coordinates due 11:59 PM Friday, Oct. 9
Due Friday, Oct 16: Writing Assignment 6: Using Trig Identities

8
8   Monday, October 12 No class meeting - Fall Break
8   Wednesday, October 14 Read: Section 10.1 and 10.2
Do: Section 9.3  --  1-8, 17 , 18
E-HW 08 Section 9.1-9.3 due 11:59 PM Monday, Oct. 19
Writing Assignment 6: Using Trig Identities
due Friday, Oct 16.
8   Friday, October 16 Do: Section 10.1 -- 4-25, 31, 37-50, 64, 65
E-HW 08 Section 9.1-9.3 due 11:59 PM Monday, Oct. 19
Monday: QUIZ 7 on 9.1-9.3
9
9   Monday, October 19 Read: Section 12.1
Do: Section 10.2 -- 1-10, 12-34, 37-43, 47-49, 58, 82
E-HW 09 Section 10.1-10.2 due 11:59 PM Monday, Oct. 26
9   Tuesday, October 20 Take Test 2 in the Math Test Center by Friday, Oct. 23. See review sheet on BB.
Math Test Center (KT G18) is open Tues., Oct. 20 9:00 AM-3:30 PM (it closes at 4:30 pm)
9   Wednesday, October 21 Read: Section 12.2
Do: Section 12.1 -- 1-15
E-HW 09 Section 10.1-10.2 due 11:59 PM Monday, Oct. 26

Take Test 2 in the Math Test Center by Friday, Oct. 23. See review sheet on BB.
Math Test Center (KT G18) is open Wed., Oct. 21 9:00 AM-7:00 PM (it closes at 8:00 pm)
9   Thursday, October 22 Take Test 2 in the Math Test Center by Friday, Oct. 23. See review sheet on BB.
Math Test Center (KT G18) is open Thurs., Oct. 22 9:00 AM-7:00 PM (it closes at 8:00 pm)
9   Friday, October 23 No class meeting. However, an optional review session will take the place of class. (Same room and time).
Take Test 2 in the Math Test Center by today.
Math Test Center is open Fri. Oct. 23 9:00 AM-3:30 PM (it closes at 4:30 pm)

10   Monday, October 26 Read: Section 12.1
Do: 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
E-HW 09 Sections 10.1-10.2 due 11:59 PM Monday, Oct. 26
E-HW 10 Sections 12.1-12.2 due 11:59 PM Wednesday, Nov. 4

Due Wednesday, Nov. 11: Writing Assignment 7: Wilbur's Trough

10   Wednesday, October 28 Read: Section 13.1
Do: Section 12.3 -- 1-14, 16, 17, 19 and Chapter 12 Review -- 12, 29, 34, 35, 37
E-HW 10 Sections 12.1-12.2 due 11:59 PM Wednesday, Nov. 4
E-HW 11 Sections 12.3  due 11:59 PM Wednesday, Nov. 4

Due Wednesday, Nov. 11: Writing Assignment 7: Wilbur's Trough

For Friday, Oct. 30: QUIZ 8 on Section 12.1 and 12.2

10   Friday, October 30 Read: Section 13.2
Do: Section 13.1 -- 1-48
E-HW 10 Sections 12.1-12.2 due 11:59 PM Wednesday, Nov. 4
E-HW 11 Sections 12.3  due 11:59 PM Wednesday, Nov. 4
E-HW 12 Sections 13.1  due 11:59 PM Monday, Nov. 9

Due Wednesday, Nov. 11: Writing Assignment 7: Wilbur's Trough
11
11   Monday, November 2 Today: Adding Like Gauss
Section 13.3
Do: Section 13.2 -- 1-4, 11-21, 26-30, 42, 45
E-HW 10 Sections 12.1-12.2 due 11:59 PM Wednesday, Nov. 4
E-HW 11 Sections 12.3  due 11:59 PM Wednesday, Nov. 4
E-HW 12 Sections 13.1  due 11:59 PM Monday, Nov. 9

Due Wednesday, Nov. 11: Writing Assignment 7: Wilbur's Trough
11 March 28 Wednesday, November 4 Today: Sigma Notation
Section 13.3
Do: Section 13.2 -- 5-15, 34-37
E-HW 10 Sections 12.1-12.2 due 11:59 PM Wednesday, Nov. 4
E-HW 11 Sections 12.3  due 11:59 PM Wednesday, Nov. 4
E-HW 12 Sections 13.1  due 11:59 PM Monday, Nov. 9

Due Wednesday, Nov. 11: Writing Assignment 7: Wilbur's Trough

For Friday, Nov. 6: QUIZ 9 on Section 12.3
11 March 30 Friday, November 6 Today: Finite Geometric Series
Section 13.4
Do: Section 13.3 -- 1-17, 20-25
E-HW 12 Sections 13.1  due 11:59 PM Monday, Nov. 9

Due Wednesday, Nov. 11: Writing Assignment 7: Wilbur's Trough
12
12 April 1 Monday, November 9 Today: Infinite Geometric Series
Section 14.1 (Click on wiley.com/college/hughes-hallett)
Do: Section 13.4 -- 1-15, 24-26 and Chapter 13 Review -- 4-9, 24
E-HW 12 Sections 13.1 ddue 11:59 PM Friday, Nov. 13 (extended)
E-HW 13 Sections 13.2-13.4 due 11:59 PM Monday, Nov. 16
Due Wednesday, Nov. 11: Writing Assignment 7: Wilbur's Trough
12 April 4 Wednesday, November 11 Today: Parametric Equations
Section 14.2 (Click on wiley.com/college/hughes-hallett)
Do: Section 14.1 -- 21-24
E-HW 12 Sections 13.1 due 11:59 PM Friday, Nov. 13 (extended)
E-HW 13 Sections 13.2-13.4 due 11:59 PM Monday, Nov. 16

For Friday, Nov. 6: QUIZ 10 on Section 13.1-13.2
12 April 6 Friday, November 13 Today: Parametric Equations, Implicit and Explicit Curves
Do
: Section 14.1 -- 1-43
E-HW 12 Sections 13.1 due 11:59 PM tonight (extended)
E-HW 13 Sections 13.2-13.4 due 11:59 PM Monday, Nov. 16
E-HW 14 Sections 14.1-14.2 due 11:59 PM Monday, Nov. 23

Due Monday, Nov. 23: Writing Assignment 8: Job Offer

13 April 8 Monday, November 16 Today: Circles
Do
: Section 14.2 -- 1-26, 28, 29

E-HW 13 Sections 13.2-13.4 due 11:59 PM Monday, Nov. 16
E-HW 14 Sections 14.1-14.2 due 11:59 PM Monday, Nov. 23

Due Monday, Nov. 23: Writing Assignment 8: Job Offer
13 April 11 Wednesday, November 18 Today: Ellipses
Do
: Section 14.3 -- 1-10, 11a, 18, 19

E-HW 14 Sections 14.1-14.2 due 11:59 PM Monday, Nov. 23
E-HW 15 Sections 14.3 Ellipses due 11:59 PM Monday, Nov. 30

For Friday, Nov. 20: QUIZ 11 over 13.3, 13.4, and 14.1
Due Monday, Nov. 23: Writing Assignment 8: Job Offer
13 April 13 Friday, November 20 Today: Hyperbolas
Do
: Section 14.4 -- 1-4, 15, 16

E-HW 14 Sections 14.1-14.2 due 11:59 PM Monday, Nov. 23
E-HW 15 Sections 14.3 Ellipses due 11:59 PM Monday, Nov. 30

Due Monday, Nov. 23: Writing Assignment 8: Job Offer
14
14 April 15 Monday, November 23 Today: Hyperbolas, continued
Do
: Section 14.4 -- 5-8

E-HW 14 Sections 14.1-14.2 due 11:59 PM tonight
E-HW 15 Sections 14.3 Ellipses due 11:59 PM Monday, Nov. 30
E-HW 16 Sections 14.4 Hyperbolas due 11:59 PM Monday, Dec. 7
14   Wednesday, November 25 No class meeting - Enjoy the break!
14   Friday, November 27 No class meeting - Enjoy the break!
15
15 April 18 Monday, November 30 Read:  Section 9.6  Complex Numbers
E-HW 15 Sections 14.3 Ellipses due 11:59 PM Monday, Nov. 30
E-HW 16 Sections 14.4 Hyperbolas due 11:59 PM Friday, Dec. 11

For Wed. Dec.2: QUIZ 12 on Section 14.2-14.4
15   Tuesday, December 1 Take Test 3 in the Math Test Center by Friday, Dec. 4. See review sheet on BB.
Math Test Center (KT G18) is open Tues., Dec. 1 9:00 AM-3:30 PM (it closes at 4:30 pm)
15 April 20 Wednesday, December 2 Read: Section 9.6
E-HW 16 Sections 14.4 Hyperbolas due 11:59 PM Friday, Dec. 11

Take Test 3 in the Math Test Center by Friday, Dec. 4. See review sheet on BB.
Math Test Center (KT G18) is open Wed., Dec. 2 9:00 AM-7:00 PM (it closes at 8:00 pm)
15   Thursday, December 3 Take Test 3 in the Math Test Center by Friday, Dec. 4. See review sheet on BB.
Math Test Center (KT G18) is open Thurs., Dec. 3 9:00 AM-7:00 PM (it closes at 8:00 pm)
15 April 22 Friday, December 4 No class meeting. However, an optional review session will take the place of class. (Same room and time).
Since the test center will be very crowded, you may want to get a seat there instead.
Take Test 3 in the Math Test Center by today.
Math Test Center is open Fri. Dec. 4 9:00 AM-3:30 PM (it closes at 4:30 pm)
16
16 April 25 Monday, December 7 Today: Why are Complex Numbers Important?
Videos (all optional):
Complex numbers take us out of our one dimensional world. This video shows where the function f(x) = x2 + 1 crosses the x-axis.
This video gives an entertaining history.
This video uses 3-D animations to show complex number arithmetic:
Here is one application involving AC circuits.
Do: Section 9.6 -- 1-23, 27, 36-39 and review for the final exam.
E-HW 16 Sections 14.4 Hyperbolas due 11:59 PM Friday, Dec. 11
16 April 27 Wednesday, December 9 Review for the final exam

E-HW 16 Sections 14.4 Hyperbolas due 11:59 PM Friday, Dec. 11

For Friday, Dec. 11: QUIZ 13 over 9.6

16 April 29     Friday, December 11 See Blackboard for information about the final exam!

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