Class meeting 
Topic 
Assignment 
Mon., June 26 
Section 7.1
Periodic
Functions and Section 7.2
Definition of the Sine/Cosine 
Today: 
We graphed a periodic
function arising from a ride on a Ferris Wheel.
We reported the period, amplitude, and midline.
We
introduced the star of our show: the sine function (and its sidekick, the
cosine function). 
Handouts: Ferris Wheel
Syllabus
General Course Information
Practice Questions to Check MA 15300 Prerequisite Skills
Due Tuesday, June 27:
Read: General Course Information, the Syllabus, and Section 7.1,
7.2, 7.3 and Chapter 7 Skills Refresher
Do: Section 7.1 (for practice)  your choice of 117,
2334 as needed.
Section 7.2 (for
practice) 
1, 3, 531
and purchase an eHW access
code if necessary.
Prepare for QUIZ 1 tomorrow, June 27 over prerequisite skills
(See Practice Questions to Check MA 15300 Prerequisite Skills and
General Course Information.)
Due 11:59 PM, Wednesday, June 28: EHW 01 Section 7.1 7.2
Due 11:59 PM, Monday, July 3: EHW 0  Part 1  John's Syllabus
Due 11:59 PM, Monday, July 3: EHW 0  Part 2  General Course
Information 
Tues., June 27 
Section 7.3 Radians /
Arc Length 
Today: 
QUIZ 1 over prerequisites.
We defined radian measurement of an angle θ
as the number of radius lengths which
wrap around the rim of a circle that are spanned by the angle θ. Since a circle of radius
r has a
circumference of 2πr, then a trip entirely around the
circle (or 360° ) is
equivalent to 2π radians.
Consequently 180° is equivalent
to π radians, which is a handy conversion factor. 

Handouts: Bug on a Circular Track
Due Wednesday, June 28:
Read: Section 7.4
Do: Section 7.3 (for practice)  your
choice of 131, 3539, 41, 42, 45, 49, 52, 55 as desired
Due 11:59
PM, Wednesday, June 28: EHW 01 Section 7.1 7.2
Due 11:59 PM, Sunday, July 2:
EHW02 Skills Refresher and Section 7.3
Due 11:59 PM, Monday, July 3: EHW 0  Part 1  John's Syllabus
Due 11:59 PM, Monday, July 3: EHW 0  Part 2  General Course
Information 
Wed., June 28 
Chapter 7 Skills Refresher on Special Angles
and Section 7.4 Graph of the Sine/Cosine 
Today: 
We converted some angles from radians
to degrees and from degrees to radians.
When asked to find the arc length if given the angle (in degrees)
and the radius, we estimated the value of the arc length first. 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. We explored special angles which are multiples of
30° , 60°
, and 45° and found the
exact values of sine and cosine for these 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).

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.)

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. 

Handouts: Bug on a Circular Track II
Exact Values of Special Angles
Circle with Exact Values of Special Angles Due Thursday, June 29:
Read: Section 7.5
Do: Section 7.3 (for practice)  your
choice of 2639, 41, 42
Skills Refresher for Chapter 7 (p. 324, for practice)  132
Section 7.4 
124, 2630, 3438
Due 11:59
PM tonight, Wednesday, June 28: EHW 01 Section 7.1 7.2
Prepare for QUIZ 2 tomorrow, June 29 over Section 7.1 and 7.2
Due 11:59 PM, Sunday, July 2:
EHW02 Skills Refresher and Section 7.3
Due 11:59 PM, Monday, July 3: EHW 0  Part 1  John's Syllabus
Due 11:59 PM, Monday, July 3: EHW 0  Part 2  General Course
Information 
Thurs., June 29 
Section 7.5 The graph
of y = Asin(Bx)
+
k 
Today: 
QUIZ 2 over Section 7.1 and 7.2.
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. 

Handout: Trig Graphs
Due 11:59 PM, Sunday, July 2: EHW02 Skills Refresher
and Section 7.3
Due Monday, July 3:
Read: Section 7.6
Do: Section 7.5 (for
practice) 
112, 2126, 29, 37, 50
Due 11:59 PM, Monday, July 3: EHW 0  Part 1 
John's Syllabus and EHW 0  Part 2  General Course Information
Prepare for QUIZ 3 over Chapter 7 Skills Refresher and Section 7.3 on
Monday, July 3.
Due 11:59 PM, Wednesday, July 5: EHW 03 Section 7.4 and 7.5 

Class meeting 
Topic 
Assignment 
Mon., July 3 
Section 7.5 Continued
y = Asin(B(xh))
+
k 
Today: 
QUIZ 3 over Section 7.3
and Chapter 7 Skills Refresher
Continued Section 7.5.
For the graph of y = Asin(B(xh)),
we reported 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. 

Handout: Phase Shifts
Due Wednesday, July 5:
Read: Section 7.6 and 7.7
Do: Section 7.5 (for
practice) 
1320,
2731, 3336, 38, 4449
Due 11:59 PM, Monday, July 3: EHW 0  Part 1 
John's Syllabus and EHW 0  Part 2  General Course Information
Due 11:59 PM, Wednesday, July 5: EHW 03 Section 7.4 and
7.5 
Tues., July 4 
No class meeting 

Wed., July 5 
Section 7.6 The Tangent
Function and Section 7.7 The Reciprocal Functions and Identities 
Today: 
The Tangent Function, the Reciprocal Functions, and the Pythagorean
Identities 

Handout: What's My Angle?
Due Thursday, July 6:
Read: Section 7.8 and 8.1
Do: Section 7.6 (for
practice) 
120, 2336 and
Section
7.7
(for practice)  125, 3235 and
What's My Angle?
handout (for practice). See Blackboard for the key.
Due 11:59 PM,
tonight, Wednesday, July 5: EHW 03 Section 7.4 and 7.5
Prepare for QUIZ 4 over Section 7.5 and
7.6 on Thursday, July 6
Due 11:59 PM, Sunday, July 9: EHW 04 Section 7.67.8
Due 11:59 PM, Sunday, July 9: EHW 05 Section 8.1 
Thurs., July 6 
Section 7.8 Inverse
Functions and Section 8.1 Right Triangle Trigonometry 
Today: 
QUIZ 4 over Section 7.4
and 7.5
The Inverse Trigonometric Functions and Right Triangle
Trigonometry 

Due Monday, July 10:
Read: Section 8.2
Do: Section 7.8 (for
practice) 
133 and
Section 8.1
 147 as desired.
Prepare for QUIZ 5 over Section 7.6 8.1 on
Monday, July 10
Due 11:59 PM, Sunday, July 9: EHW 04 Section 7.67.8
Due 11:59 PM, Sunday, July 9: EHW 05 Section 8.1
Test 1 covering 7.17.8, Chapter 7 Skills Refresher,
and Section 8.1 is Tuesday, July 11
See BB for a Review Sheet. 

Class meeting 
Topic 
Assignment 
Mon., July 10 
Section 8.2 NonRight Triangle Trigonometry 
Read: Section 8.1 and 8.2
Do: Section 8.2
 15, 7  35, 37, 41, 48
Test 1 covering 7.17.8, Chapter 7 Skills Refresher,
and Section 8.1 is tomorrow, Tuesday, July 11
See BB for a Review Sheet.Due 11:59 PM, Wednesday, July 12: EHW 05 Section 8.2 
Tues., July 11 
See right > 
Test 1 
Wed., July 12 
Section 8.2 Law of
Cosines, Section 8.3 Polar Coordinates and Section 9.1 Trig
Equations 
Due Thursday, July 13:
Read: Section 9.1 and 9.2
Do: Section 8.2 (for practice)  6, 36,
40, 4244, 47
Section 8.3 (for practice)  122 and
Section 9.1
(for practice) 
111, 1531, 33, 34, 38, 39, 41
Prepare for QUIZ 6 tomorrow, July 13, over Section 8.2
Due 11:59 PM, Thursday, July 13: EHW 06  Section 8.2
Due 11:59 PM, Sunday, July 16: EHW 07  Section 8.3 and
9.1 
Thurs., July 13 
Section 9.2 Identities and Equations 
Due tonight, 11:59 PM, Thursday,
July 13:
eHW06 Section 8.2 Law of Sines and Cosines
Due 11:59 PM Sunday, July 16:
eHW07 Section 8.3 and 9.1
Due Monday, July 17:
Read: Section 9.3,
10.1 and 10.2
Do: Section 9.2
 113, 1531, 33, 34, 35, 38, 39, 41, 5458
Prepare for QUIZ 7 on Section 8.3 and 9.1 for Monday, July 17
Due 11:59 PM Tuesday, July 18:
eHW08 Section 9.2 Identities
eHW09 Section 9.2 (cont'd) and 9.3 

Class meeting 
Topic 
Assignment 
Mon., July 17 
Section 9.2 Equations (Cont'd) and Section 9.3 Sum and
Difference Identities 
Read: Section 12.1
and 12.2
Do:
Section 9.3
 18,
17 , 18
Due 11:59 PM Tuesday, July 18:
eHW08 Section 9.2 Identities
eHW09 Section 9.2 (cont'd) and 9.3
Due 11:59 PM Sunday, July 23:
eHW10 Section 10.1 and 10.2
eHW11 Section 12.112.2
eHW12 Section 12.3 
Tues., July 18 
Section 10.1 Function Composition and Section 10.2 Inverses
and Section 12.2 and 12.2 Vectors 
Read: Section 12.3
and 13.1
Do:
Section 10.1  425, 31, 3750, 64,
65
Section 10.2 
110, 1234, 3743, 4749, 58, 82
Section 12.1  115
Due 11:59 PM Tuesday, July 18:
eHW08 Section 9.2 Identities
eHW09 Section 9.2 (cont'd) and 9.3
Due 11:59 PM Sunday, July 23:
eHW10 Section 10.1 and 10.2
eHW11 Section 12.112.2
eHW12 Section 12.3 
Wed., July 19 
Chapter 12 Vectors 
Today:
Vectors Cont�d
Due Tuesday, July 18:
Read: Section 13.1
Do:
Section 12.1 
120, 24 and
Section 12.2 
12, 4, 5, 8, 1318, 21, 23, 2527 and
Section 12.3  114, 16, 17, 19 and
Chapter 12 Review 
12, 29, 34, 35, 37
Prepare for QUIZ 8 on Section 9.2 and 9.3 for Thursday,
July 20
Due 11:59 PM Sunday, July 23:
eHW10 Section 10.1 and 10.2
eHW11 Section 12.112.2
eHW12 Section 12.3 
Thurs., July 20 
Section 13.1 Sequences 
Today:
Sequences
Due Monday, July 24:
Read: Section 13.2
and 13.3
Do: Section 13.1 
148
Prepare for QUIZ 9 on Section 10.1, 10.2, 12.112.3 for Monday,
July 24
Due 11:59 PM Sunday, July 23:
eHW10 Section 10.1 and 10.2
eHW11 Section 12.112.2
eHW12 Section 12.3 

Class meeting 
Topic 
Assignment 
Mon., July 24 
Section 13.2 Series 
Due Monday, July 24:
Read:
Section 13.2
and 13.3
Do:
Section 13.2 
14, 21, 29, 31, 42, 43
Test 2 tomorrow, Tuesday, July 25.
See Review sheet on Blackboard.
Due 11:59 PM Wednesday, July 26:
eHW13 Section 13.1
Due 11:59 PM Sunday, July 30:
eHW14 Section 12.213.4 
Tues., July 25 
See right > 
Test 2 
Wed., July 26 
Section 13.3 and 13.4 Series 
Due Monday, July 24:
Read:
Section 13.4
and 14.1
(See
BB for a link to this chapter.)
Do:
Section 13.2 
520, 2230, 36 and Section 13.3 
117, 20, 24
and Section 13.4 
115, 2426 and Chapter 13 Review 
49, 24
Due 11:59 PM Wednesday, July 26:
eHW13 Section 13.1
Due 11:59 PM Sunday, July 30:
eHW14 Section 13.213.4
Due 11:59 PM Tuesday, August 1:
All past due eHW assignments will close.
Due 11:59 PM Wednesday, August 2:
eHW15 Section 14.114.2 
Thurs., July 27 
Section 14.114.2
Parametric Equations and Circles 
Due Monday, July 31:
Read:
Section
14.314.4
(See
BB for a link to this chapter.)
Do:
Section 14.1  143 and
Section 14.2 
126, 28, 29
Prepare for QUIZ 10 on Section 13.113.4 on Monday, July 31
Due 11:59 PM Sunday, July 30:
eHW14 Section 13.213.4
Due 11:59 PM Tuesday, August 1:
All past due eHW assignments will close.
Due 11:59 PM Wednesday, August 2:
eHW15 Section 14.114.2


Class meeting 
Topic 
Assignment 
Mon., July 31 
Section 14.314.4
Ellipses
and Hyperbolas 
Due
Tuesday, August 1:
Read:
Section
9.6
Do:
Section 14.3 
110, 11a, 18, 19 and Section 14.4  18, 15, 16
Due 11:59 PM Tuesday, August 1:
All
past due eHW assignments will close.
Due 11:59 PM Wednesday, August 2:
eHW15 Section 14.114.2
eHW16 Section 14.3 Ellipses
eHW17 Section 14.4 Hyperbolas 
Tues., Aug. 1 
Section 14.4 Hyperbolas (cont'd) and Section 9.6
Complex Numbers 
Due
Wednesday, August 2:
Do:
Section 9.6  123, 27, 3639 and Chapter 9 Review 1316
Due tonight, 11:59 PM Tuesday, August 1:
All
past due eHW assignments will close.
Tomorrow: QUIZ 11 over Section 14.114.4
Due 11:59 PM Wednesday, August 2:
eHW15 Section 14.114.2
eHW16 Section 14.3 Ellipses
eHW17 Section 14.4 Hyperbolas
eHW18 Section 9.6 Complex Numbers
Pythagoras would have liked this:
http://www.ewao.com/a/1nasadiscoversstarsandplanetsgiveoffmusichereswhatitsoundslike/
Videos (all optional):
Complex numbers take us out of our one dimensional world. This video shows
where the function f(x)
= x^{2} +
1 crosses the xaxis.
This video
gives an entertaining history.
This video
uses 3D animations to
show complex number arithmetic:
Here is one
application involving AC circuits. 
Wed., Aug. 2 


Thurs., Aug. 3 


