ARTM
142 (Fall 2003)
New North Music Room: T & Th 11:40-12:55
Professor José Bowen
Jazz Theory & Improvisation
Syllabus
If you are able to free yourself
through expression in music, it must be jazz. And even the greatest
players are only fortunate enough to experience that freedom for a couple
of minutes at a time. Jazz is the only music in the Western world
in which the most risk yields the greatest results.
Keith Jarrett
Contact Information
Professor José Bowen
Office: New North Performing
Arts Suite (old UIS area)
Office Phone: 202-687-0969
(direct)
Email: bowenja2@muohio.edu
Office Hours: Tuesday and
Thursday 1:30-2:30 and by appointment
You do not need an appointment
to see me. I am in the office when I am not teaching most Tuesdays,
Thursdays and Fridays. There should also be time after class most
days to answer questions. However, if you want more than a minute,
try an appointment; I go to lots of meetings, but you can always call me
in the office or email me. You can call me at home if it can't wait,
but please remember that I have a family. Please try not to call
before 9am or after 9pm. (Remember, I'm a musician.) Home Phone:
703 749 0130. Call me, I will always make time for you.
Course Aims and Objectives
(1) In this course, you
will learn how jazz (and lots of pop music) works. You will become
familiar with the basic rhythmic, harmonic, melodic and formal conventions
of jazz. You need NO previous experience other than facility on an
instrument and an understanding of scales (or ARTM 141).
(2) You will also learn the basic
scale, key and chord theory, which is applicable to all Western music. You
should leave this course with an understanding of how chords and scales
work and the ability to manipulate them in real time.
(3) At the end of the course you
should be able to identify some of the different instruments and the different
types of ensembles used in jazz and pop music.
(4) This is a theory course (and
not a repertoire or history course), but you should still learn a bit of
new music. The styles of jazz and pop are as varied as they are in all
of classical music; some of it you will like and some you will hate. Just
as you wouldn't assume that anyone who likes Brit Pop likes Heavy Metal,
don't assume that everyone who likes ?jazz? will like both Woody Herman
and Ornette Coleman. Hopefully, this course will give you some tools
to appreciate, analyze and critique a variety of new music on its own terms.
(5) The most important aim is to
allow you to improvise jazz in a variety of settings and styles.
Class Format
Lecture/Drill 11:40-12:55
Tuesday and Thursday NN MR
Lab/Jams 10:15-11:30
Tuesday OR Thursday OR TBA NN MR
During the first few weeks you'll
be placed into groups so that you'll get more playing time. We'll
probably set up one group on Tuesday and one group on Thursday. Everyone
will need to come to all lectures and to one combo session per week.
Schedule of Topics
Week 1, August, 28: Introduction
Background
Intervals and Scales
Swing Rhythms
Drills:
a) Interval Review
b) Swing Rhythms
c) Reeves CD, Tracks
2 & 3
Reading:
Reeves CB: pages 3-17,
279-286 or Reeves CJI pages 1-24, 305-306
(Note we are using the 2nd edition
of this book titled Creative Beginnings (CB) but the 3rd edition is called
Creative Jazz Improvisation (CJI). Last year they ran out of the CB and
so some folks had to use CJI. I am leaving both numbers, just in case
you got the wrong edition.)
Further Study (optional):
Mark Levine, Jazz Theory (pages
3-12)
Listen to Stan Getz
Week 2, September 2 & 4: Theory
in Real Time
Circle of Fifths as Geography
Playing and Thinking Scales
«Special Session: Piano Scale
Fingering
Drills:
a) Keys and Degrees
b) Multi-octave scales
through all keys
c) Reeves CD, Tracks
2, 3 & 4
Reading:
ReevesCB: Chapter 4
(pages 21-39) and pages 286-291
or ReevesCJI:
Chapter 4 (pages 31-43)
Further Reading (optional):
Mark Levine, Jazz Theory (pages
95-102)
Week 3, September 9 & 11: Basic
Harmony
Practice Test: Circle of
Fifths
Basic Harmony I: The Four
Triads
Diatonic Triads
Harmony in Real Time
Drills:
a) Diatonic Progressions
in all Keys (at the piano)
b) Diatonic progressions
with inversions in all keys (at the piano)
c) Add Left Hand Roots
(for pianists)
d) Swing multioctave scales
through all keys
e) Reeves CD, Track
5
Reading:
ReevesCB: Chapter 5
(pages 40-60)
or ReevesCJI:
Chapter 5 (pages 44-57)
Week 4, September 16 & 18:
Seventh Chords
«Timed Test: Circle of Fifths
(10 points) September 16
Basic Harmony II: Seventh
Chords
Practice Chord Test
Special Session: Bass Lines
Drills:
a) Diatonic Seventh
Progressions in Triads (at the piano)
b) Swing multioctave
scales through all keys
c) Reeves CD, Track
6
Further Study (for pianists
especially)
d) Diatonic Seventh
Progressions with Inversions
e) Add Roots in Left
Hand
Reading:
ReevesCB: Chapter 6
(pages 61-80) or CJI: Chapter 6 (pages 58-70)
Week 5, September 23 & 25:
ii-V-I
«Timed Test: Chord Analysis
(10 points) September 23
Functional Harmony
Special Session: LH Piano
Voicing (3rd and 7ths)
Drills:
a) Diatonic Seventh
Progressions in Triads (at the piano)
b) Oral Analysis
c) Running the Changes
d) Running the Changes
with Swing
e) Reeves CD, Track
6
Further Study (for pianists
especially)
f) use 3rd and 7th
only in LH
g) or use 3rd and 7th
in RH and bass notes in LH
Reading:
ReevesCB: Chapter 7
(p. 81-112) and 292-303 or CJI: Ch 7 (p. 71-94)
Further Reading (optional):
Mark Levine, Jazz Theory (pages
15-23)
Week 6, September 30: Bobby McFerrin
in the House
October 2: Jazz and Pop Sounds
Timed Test: Tune Analysis
(10 points) October 2
Individual Instruments (Trumpets,
Trombones, Saxes, Guitars)
Jazz and Pop Ensembles
Listening to Jazz: Aesthetics
Week 7, October 7 & 9 Consolidation & Rhythm
Practice Habits & Speed
Head Arrangements & Idiomatic
Rhythmic Patterns
Practice Test: Tune Analysis
Drills:
a) Oral Analysis, Running
the Changes & Swing
b) Rhythmic Patterns
c) Reeves CD, Track
7
Further Reading (optional):
Mark Levine, Jazz Theory (pages
246-256)
Week 8 October 14 & 16: Moving
to Melody
Moving to Melody: Chord Tones and
Weighted Scales
New Melodies for Old Tunes
Special Session: LH Piano
Voicing (5th and 7ths) & Basic Rhythms
Drills:
a) Weighted Scales
b) Rhythmic Patterns
with Chord Tones
c) Reeves CD, Tracks
2-7
Further Study:
Mark Levine, Jazz Theory (pages
113-170)
Week 9, October 21 & 23: Tune
Structures and Review
32 Bar AABA Tunes (Start
Compositions)
Special Session: Two-Hand
Comping
Drills: (keep doing this
after the midterm!)
a) Oral Tune Analysis
b) Running the Changes
(Multioctave Scales)
c) Running the Changes
-- Add Swing
d) Rhythmic Patterns
e) Piano & Guitar
Play all Chords
f) Piano Practice
Voicing Drills (3rd and 7th in L.H.)
g) Chord Tone Drills
(Swing)
h) Rhythmic Patterns
with Chord Tones
i) Weighted Scales
I (stop on chord tones)
j) Weighted Scales
II (chord tones with filler)
k) Repeat e-j for both
tunes and ii-V-I drills
l) Reeves CD, Tracks
2-7
Week 10, October 28 & 30: Midterm
«Midterm Performed Assessment:
Running the Changes & Swing (20 points)
Reading:
Reeves: Review Chapter
4-7 (same in Reeves CJI)
Make sure you have read and
understand all of this.
Continue with Reeves
tracks 11-14.
After this exam, you will be expected
to have MASTERED all of the material up to now.
Week 11, November 4 & 6: Blue
Notes and The Blues
Blue Notes and 9 Note Scales
DRAFT Composition Due in Class
(2 points) November 6
Drills:
a) Weighted Scales
with Blue Notes
b) Rhythmic Patterns
with Chord Tones & Blue Notes
c) Hearing the Blues
Further Reading (optional):
ReevesCB: Chapter 11
(pages 191-224)
ReevesCJI Chapter 8
(pages 95-109)
Mark Levine, Jazz Theory (pages
246-256)
Week 12, November 11: The Blues
No Class November 13
Blues Progression & ?Blues Scales?
Drills:
a) Weighted Scales
with Chord Tones & Blue Notes
b) Swing Rhythmic Patterns
c) Hearing the Blues
Reading:
ReevesCB: Chapter 8
(pages 115-135)
or ReevesCJI Chapter
10 (pages 125-149)
Further Study:
Listen to all of the Blues
forms on SCCJ
Mark Levine, Jazz Theory (pages
219-236)
Week 13, November 18: Rhythm Changes
November 20: Bobby McFerrin
-- Composing
Rhythm Changes
Special Session: Piano Short
Chords
Drills:
a) Rhythm Changes
b) Consolidated Scales
and Rhythms
Reading:
ReevesCB: Chapter 9 (pages
136-160)
or ReevesCJI: Chapter 11
(pages 150-162)
Further Study:
Kernfeld, What to Listen
for in Jazz (pages 39-73)
Mark Levine, Jazz Theory (pages
237-244)
Week 14, November 25: Altered Chords
and Scales
« Composition Due Tuesday
November 25 in Class (18 points)
Dominant Alterations
Substitution, Addition & Octatonics
Special Session: Altered Voicings
Drill:
a) Weighted Scales
with Blue Notes & Altered Scales
b) Rhythmic Patterns
with Chord Tones & Blue Notes
Reading:
ReevesCB: Chapter 10 (pages
161-190) or CJI: Ch 9 (pages 110-124)
Week 15, December 2 & 4: More
Altered Scales and Modes
Altered Major and Minor
Chords
Other Scales & Modes
Further Reading:
ReevesCB: Chapter 12 (pages
225-245) and Chapter 13 (pages 246-278)
ReevesCJI: Chapter 19 (pages
256-274) and Chapter 14 (pages182-195)
Note: Reeves CJI includes
two more chapters (17 and 18) on altered scales,
« Final: Graded Concert Performance
(30 points)
Friday December 5, 1:15
pm McNeir
Note: This syllabus has been altered
based upon my experience at Georetown in the last few years, where I have had
to slow down and take out some material. If this is a more experienced
class, we can always add more topics!
Other Possible Topics:
Licks & Listening
Pentatonics
Other Voicings
Diminshed Chords and Scales
Free Jazz and Other Conceptual
Approaches
Course Materials:
1. Jazz Theory Text with CD
Scott D. Reeves, Creative
Beginnings: An Introduction to Jazz Improvisation (Prentice Hall, 1997) $56
USED (WITH CD)
Prentice Hall are scum. I
thought this book was overpriced at $58, and I've just seen that they jacked
up the price to $78! (When I first chose it, it was the ONE book
in my pile of stuff that didn't have a price on it, but it was the best.) The
problem is that the drills are the CD are really good and the tunes and charts
are useful too. There is a copy in the library and I will go over all
of the theory in class. If most of this looks totally familiar, then
you might save a little money and just buy 2.a and 3a below. (Note that on
this CD, unlike most, the drills are sensible and not too fast!) This
book and 2a below are our basic texts.
2. Fake Book
I'll pass out some tunes, but
you will need to have a book of tunes before you know it.
a. The Real Easy Book: Tunes
for Beginning Improvisers (Sher Music Co, 2003)
This was compiled from materials
we used at Stanford by one of my former students there. It is cheap and
has good stuff. But note: It comes in the KEYS of C, B flat, E flat,
and Bass Clef: GET THE PROPER KEY FOR YOUR INSTRUMENT! (This is easier
to do in the bookstore and more confusing in the online bookstore, but probably
easier using one of the many good jazz web sites like www.jazzbooks.com
b. The Ultimate Jazz FakeBook
compiled by Herb Wong (Hal Leonard, 1988) ($40)
The bigger Sher books (below)
are probably better quality (they often give you more information like bass
lines and second horn lines) but you'd need to buy all four volumes ($160)
to get the standards in this one book. This is probably the best value
for a first gig book.
c. The New Real Book Vol.
2 (Sher Music Co.) ($38) KEYS of C, Bb or Eb
This has fewer standards
and more pop and fusion jazz. The Standards Real Book from Sher, doesn't
yet come in different keys and I think this volume has the best spread of jazz
tunes from the other three volumes of their New Real Books. They are
all good, but if you all have the same one, it will be easier on gigs.
3. Play-Along CD and Book Sets (optional)
The CD in the Reeves book
will get you started, but you'll probably want to practice a wider range of
material pretty soon. There are a wide range of Jamie Aebersold Play-Along
CDs in the library, but you'll probably also want to buy at least one of these. These
(in order) are the four sets we'll probably use most often, but you can wait
to buy them as they are at different levels. You'll know in a couple
of weeks which will be the most useful for you. D is in the bookstore.
a. Jamie Aebersold Book and
CD set Vol. 44 Autumn Leaves ($14)
b. Jamie Aebersold Book and
CD set Vol. 75 Coutdown to Giant Steps ($22)
c. Jamie Aebersold Book and
CD set Vol. 25 All-Time Standards ($22)
d. Jamie Aebersold Book and
CD set Vol. 70 Killer Joe ($14)
4. Supplemental Reference Texts
(very optional)
a. Mark Levine, The Jazz
Theory Book (Sher Music Co., 1995) $38
This is the best book on
the market. It has much more stuff than we can cover in a semester and
it goes very quickly through the basics. We'll dip into this book from
time to time, but it gives you most of what you ever need to know to be a jazz
professional.
b. Mark Levine, The Jazz
Piano Book (Sher Music Co.,1989) $28
This was Mark's first book
and it isn't as good or a thorough as the later book above, but it is orientated
towards piano players. So if you are looking for voicings, this is the
best place to start.
5. Music Paper (Any will do, but
you'll eventually need some.)
6. Jazz CDs (optional)
In order to be a jazz player
you need to listen; you are what you hear. There is plenty of stuff
in the library, but if you want to start building your collection, you can
do no better than start with:
a. Ken Burns Jazz Collection (5
CDs)
With the Smithsonian collection
out of print, this is the best and cheapest way to get started hearing a
variety of jazz sounds. It is available everywhere and if you are relatively
new to jazz, you should own this.
b. Stan Getz: Any CD but
start with Anniversary (EMARCY 838 769-2)
Stan the Man is awesome partly
because he makes so much melody with so few ?out? notes, shakes, and honks. By
the middle of the course of you will understand most of Stan's harmonic language
and so he is a great role model. In other words, you can go further out
if you want, but you don't have to; perfecting what you learn here will be
enough.
How to Study for this Course
Georgetown currently employs a 5+5
semester system. Most of your courses are 3 units like this one. In
general, we assume that means 3 hours of class time and 6 hours out of class
per week, but Georgetown uses ?50 minute hours? so you have 150 minutes of
class time and 300 minutes of study time to give 7.5 hours/class/week. That's
well under a 40-hour week, which is pretty good and explains how a former roommate
of mine made it to the pub by 6 every day.
I will try to assign you 4 hours
of out-of-class work per week (that gives you at least an extra hour to
sleep). I'll build in time for your exam review and projects as we go along,
so do not get behind or you will suffer. Especially in a course like
this one where understanding is not enough, you need to be able to DO it
easily before we move on. The aim of the course is to enable you
to SPEAK JAZZ in real time. ALL DRILLS ARE CUMULATIVE! If you
have not mastered the material from the previous week, let me know, as
you will not be able to move ahead in most cases.
Most of your work will be with
your instrument. You do not have to practice much everyday, but a
little bit of review every day will really make a huge difference by the
end of the course. We should have new practice facilities in the
Library soon, but we'll have to wait and see. Good luck!
Assessment:
Timed Written Exams (3x10)
Circle of Fifths Test 10
Chord Analysis 10
Tune Analysis 10
Midterm Performed Assessment 20
Draft Composition 2
Composition 18
Final Performance 30
You also need to get out and hear
some live jazz; go to at least three concerts. We'll also organize
at least one off-campus visit to a jam session in the city.
Most of you have probably not taken
too many courses where most of the grade is based upon performance and
new skills. While obviously the more experienced players have some
advantage, most of your grade will be based on how well you master the
material we cover in this course. Even with no previous experience
of jazz you should be able to get an ?A.? Here are details of the
assessments.
Timed Written Exams) 30
points
You will be given a practice run
for each of these tests, which will be in the exact form of the actual
test. Ideally, we would test all of these skills orally and in a
practical situation, but this is much faster: each test will take only
a few minutes. You already know much of the information on which
you will be tested. In order to make this information useful to you,
however, you need to know it instantly. While some of what makes
this jazz or pop theory is usage (conventions like using 6th or 7th chords),
it is speed which turns theory into practice. Here are samples of
all of the tests:
(a) Timed Test 1: Circle of Fifths:
Given in class Tuesday, September 16 (10 points)
There will be 20 questions like
this and you will have 2 minutes.
1. How many sharps in the key of
E? _________
In order, they are___________________________
2. Going from the key of Ab to
the key of F,
add/subtract ____ flats/sharps. In
order they are______________.
(b) Timed Test 2: Chord Analysis:
Given in class Tuesday, September 23 (10 points)
1. How do you spell:
Dm7= __________ (Sample
Answer: D,F,A,C)
Eflat7__________ F#Maj.7______
2. Provide function and keys for
these chords:
Amaj7 = I in A (ex.) Em7____ Dmaj7___
3. Answer:
iii in G= ____ IV in E= ____ vi
in Bflat= ____
(c) Timed Test 3: Tune Analysis:
Given in class Tuesday, October 2 (10 points)
Analyze the following progressions
with keys followed by Roman numeral chords. Group chords together if
they are in the same key. Indicate (below) the two most common tones for sustained
melody notes and slur together any common pitches.
Example: Ebm7 Ab7 CM7 = Db:
ii V C:
I
1. FM7 Am7 D7 Gm7 C7 Am7 D7 Cm7
F7 BbM7 Abm7 Db7 GbM7 Em7 A7
F: I G:
ii V F: Ä
Midterm Performed Assessment 20
points
Given in class: Tuesday October
28 and 30
This is really an excuse to give
you some individual attention and make sure that everyone understands the
basic concepts. We'll look at a new tune and I'll ask you to analyze
it and then to ?run the changes? with me. You will need to be able
to play a complete chorus in time playing in the correct key. A long
series of swing eights is acceptable, but extra points will be given for
stopping on chord tones and using idiomatic rhythms. We will practice
this exam in class, but here is the actual grade sheet so you will know
what is coming.
Midterm Performance October
28 & 30 (20 Points) NAME
1. Oral Analysis of Changes (5
points)
Slow and one chord at a time
(1 point)
One chord at a time, but faster
and with mistakes (2 points)
Fast but with mistakes (3
points)
One mistake (4 points)
Fast, Key plus Chord, no mistakes
(5 points)
2a. (HORN PLAYERS ONLY) Play
the Head (5 points)
Stay in the correct bar
(1 point)
+most of the notes (2 points)
+most of the rhythms (3 points)
All of the notes and rhythms
(4 points)
+ Swing and idiomatic shifts
(5 points)
2b. (PIANO, GUITAR & BASS PLAYERS)
Play the chords or bass line (5 points)
(Piano players should use 3rd
and 7th voicings. Root position chords = -1.)
Mostly correct notes, but
very slow (1 point)
Mostly correct, but a little slow
(2 points)
` In time, but with mistakes (3
points)
Chords (or bass line) in time
with no mistakes (4 points)
+ Idiomatic rhythms (5 points)
(guitar and piano=chords off the
beat; bass = smooth lines with accent on 2 and 4)
3. Scales through Keys with Swing
(right hand only for piano) (5 points)
Correct Keys, but not smooth
or too slow (1 point)
+ In time, smooth (no return
to roots), but poor swing (2 points)
+With good swing (3 points)
+With good change of directions
and no stopping (4 points)
+Speed (5 points)
4. Solo over changes (5 points
+ 1 bonus option)
Correct Keys, but not smooth
or too slow (1 point)
+In time, smooth (no return
to roots), and good swing (2 points)
+Stopping and Jumping between
Chord Tones (3 points)
+Speed and Good Rhythm (4 points)
+Melodic Ideas which Return
or Develop (5 points)
Piano players can gain 1 extra point
by playing LH chords while soloing.
Other players can gain 1 extra point
from fabulous use of weighted scales.
18-21 = A
16-17 = B
14-15 = C
12-13 = D
11 = Fail
Combo Assignment Preferences:
Composition 20
points
Draft due in class: Tuesday, November
6 (2 points)
Final project due in class Tuesday,
November 25 (18 points)
The basic assignment is to produce
a lead sheet composition (probably not a blues). The composition
does not need to be ?arranged? with backgrounds etc., although you might
want to consider a coda. (Extra points will be given for easy to
understand and play ?extras.?) You should though, consider harmonized horn
parts if you are using multiple horns. The score must be neat and
come with transposed parts ready for performance. We will perform
all of the pieces! Your parts should look like the lead sheets in
the Sher music books. You do not need to provide a separate drum
or bass part, but if you have specific instructions and these clutter-up
the score, then you should provide separate rhythm or individual parts.
We'll discuss all of the options
in class. If none of this makes sense now, that is OK. You'll
understand all of this by November.
Grading
I use a system of roughly equal
thirds: a third for content (what you have to say), a third for writing (how
you say it) and a third for presentation (taken broadly to include citations,
proper use of quotations, typos etc.) You have probably had the 50/50
grade with half for content and half for writing/grammar. Research
suggests that we all are more swayed by layout and presentation than we want
to be. (There have been lots of experiments that demonstrate that the
same words consistently get a lower grade when poorly presented.) Again
as in show business, for better or worse, people judge you by how you walk,
look, smile and shake, before you even open your mouth. Your work is
your calling card, and I'm trying to be more transparent by using equal thirds. (In
the old days, you literally presented your calling card to a butler, who
took it in to the Lord or Lady of the house, who then decided if you were
to be allowed in. Today, power is still displayed by the number of
secretaries and how long you have to wait. Writing styles differ in
different industries, but your written work is still your calling card.) These
three things, provocative content, clear writing and clean presentation,
are intertwined, but if you pay attention to all three, you will always do
well. These three things are basically preserved in the grading for
this composition.
Content (Creativity/Originality)
6 points
Execution (Mistakes, Keys,
Transpositions) 6 points
Score Presentation
(Neatness, Ease of Use) 6 points
Composing
Don't get hung up on ?composing.? Start
by doodling, but write some of it down. Great composition comes not
from great ideas but from polishing your ideas. Just gather some stuff
(melodies, rhythms whatever) and then try varying them and keep working until
something makes sense. Don't sabotage yourself, just have fun.
Final Exam Performance 30
points
Friday, December 5, McNeir, 1:15
pm
This will be our final performance.
Try to do some original compositions if you can. Each combo will
perform several tunes, but members will be assessed largely as individuals. Bring
your friends! Interaction with the audience is crucial. It
will be much easier if every is screaming their head off for you!
Grading:
Execution (Basic Concept,
Rhythm, Mistakes) 12 points
Creativity/Originality 6 points
Presentation (Deportment,
Image, Program) 6 points
(You will largely share
this grade in your group as well.)
Group (Ensemble Preparation,
Listening) 6 points
This will apply (with slight modification)
for rhythm section players as well. I'll gather a few pros to fill
out the groups and to help with the grading. This will be the most
fun you ever had at a final, guaranteed!
Bowen: Course Policies
1. Attendance is mandatory at Georgetown
and this course will be impossible if you don't attend. Departmental
policy mandates that repeated absence will result in the loss of one cumulative
grade (four absences) or even a failing grade for the semester (six absences). Please
see me if youmust miss more than two classes.
2. Any work not submitted will
receive a zero grade.
3. Deadlines are firm, so plan
ahead. THERE WILL BE NO LATE WORK OR MAKE-UPS except as allowed by
University rules for extreme illness, conflicts with other scheduled exams,
and religious holidays. (Travel arrangements or work schedules are
not sufficient reason to reschedule exams.) Late work or make-ups
are allowed only with prior notice: you have lots of ways to contact me
and you should do so early; special arrangements require advance planning. (I'll
also be suspicious if you join a religion on Thursday with a holiday on
Friday!)
4. You are expected to know, understand
and follow the guidelines in the University's Undergraduate Honor System.
5. I can't read your mind. (I
may look like a Vulcan, but I'm not.) I (and I hope most of your
other instructors) crave your feedback. If something is not working,
let's change it. I can't do anything to fix your complaint
if I don't know about it; PLEASE TELL ME! You do NOT need an
appointment to stop by at office hours!!
6. Laptops and tape recorders are
OK, but you won't need them in this course.
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