MATH 150 - CALCULUS WITH ANALYTIC GEOMETRY
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¥ SOLUTIONS TO THE FINAL NOW
UP: Final ... Solutions
¥ CLASS ANNOUNCEMENTS
¥ NEW! SCHAUMÕS OUTLINE
OF CALCULUS at our library (LRC)
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COMMENT ON THE FINAL: The Final will not have elaborate, complicated Òword problemsÓ
such as two-car problems from 3.8.
Keep this in mind as you design your sheet of notes for Part 2 of the
Final. However, position / velocity
/ acceleration problems are fair for the Final.
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though wait times may be long (maybe 50 minutes). Go
to the 4th floor of the LRC (library) and see someone at MT2C, or
email Tony Ho at tho@sdccd.edu
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¥ IF
YOU NEED PRECALCULUS REVIEW, TRY THE MATH 15s! OR JUST TRY ALEKS ON YOUR OWNÉ
¥ ALEKS GETTING
STARTED: Orientation
Quick Tips (.pdf) É Orientation PowerPoint
(.ppt) É Registration - No
Code
If you want a Precalculus refresher, tell this to the 15DEF instructor.
TheyÕre great, 1-unit, online, ALEKS-based, self-paced refreshers that
have helped many students. 15E is trig; 15F is college algebra. A Òno-passÓ
does not affect GPA, though it does appear on your transcript; itÕs mostly a
problem if youÕre on academic probation. 15E includes 15D (geometry). Instead
of enrolling in both 15E and 15F, contact the instructor, and s/he may be able
to make arrangements with you to just enroll in one class.
These are offered a couple of times throughout the semester. You could
take more than one in one semester! Get a good foundation for your classes!
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ONLINE GRAPHING CALCULATOR (INCLUDING DERIVATIVES)! https://www.desmos.com
The Limit Does Not Exist: https://www.youtube.com/watch?v=oDAKKQuBtDo;
for the curious (you canÕt use LÕHopitalÕs Rule on
our tests, though!): https://www.youtube.com/watch?v=-vjl-L35MhY
What is Calculus Used For?: https://www.youtube.com/watch?v=_Idra8rVS1I
¥ CLASS
& HOMEWORK SCHEDULE (tentative; updated frequently; check regularly)
¥ My Schedule: Poster.pdf
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¥ Printing Suggestions for
Typed Files
I
recommend two-page-to-a-side and/or double-sided printing to save paper. If the
typed print is too small, try something like Page Setup: Scale: 110% or 105%,
unless print gets cut off (100% may be better for handwritten notes). Color
printing is nice, but B&W printing is cheaper.
These are pdf files. You can get the free Adobe Reader at http://www.adobe.com. Get a version that is
compatible with your system!
¥ Class Notes
¥ Many students benefit from printing the notes for a
lecture beforehand, reviewing them, and commenting on them in
class.
¥ You may want to take personalized Òsketch notesÓ in class.
¥ FRONT PAGES;
SEE ALSO CHAPTER 0
Creative Commons License: For
Òattribution,Ó simply mention my name and/or web URL somewhere if youÕre using
huge chunks of the notes. I simply want due credit.
TABLE OF CONTENTS (for Swokowski; my Chapters 1 and 2 are different)
Math 121 is an
easier version of Math 150. The 121 materials may help. MATH 121 HOME
¥
Chapters 0, 1, and 2, and Sections 3.1-3.6 are also available in black-and-white
small print at the bookstore for about $8.
Chapter 0: Front
Matter / Notation Guide (in Chapter 1 notes)
Chapters 1 and 2:
Review; Limits and Continuity (typed; last revised
7/12/12)
¥
CORRECTIONS
Page 1.10: Example 7 deals with the square root function, not the
squaring function. Also, -9 (instead of 9) is not in the domain of f.
Page 2.1.14: The answer (limit value) for Example 9 is 1.
Page 2.5.8: The last Limit Form more precisely yields 0+.
BIG FILES (CHS.0,1): Chapters 0, 1 (pdf) (typed; last revised
7/12/12)
BIG
FILES (CH.2): Chapter 2A (pdf) É Chapter 2B (pdf) (typed; last revised
7/12/12)
¥
OLD CHAPTERS 1 AND 2 REVIEW OUTLINE
Chapters 1 and 2
Review Outline (last revised 7/27/09) É this is a bit outdated, and some topics
have been moved around between sections, but it should still help.
¥
WATCH ÒMEAN GIRLSÓ!: https://www.youtube.com/watch?v=oDAKKQuBtDo
Chapter 3: Derivatives
(3.1-3.6 revised 7/12/12; 3.7 revised 9/1/14; 3.8
revised 3/5/15)
BIG
FILES: Sections 3.1-3.4 (pdf) (typed) É Sections 3.5-3.6 (pdf) (typed) É
NEW! (3.7/3.8): Section 3.7 (pdf) (typed) É Section 3.8 (pdf) (typed)
Chapter 3 Review (pdf) (typed; old 2004 file; revised 9/1/14)
Chapter 4:
Applications of Derivatives (typed and handwritten; revised 7/4/15; 4.1-4.3 revised)
Chapter 5: Integrals (handwritten)
¥
CORRECTIONS
Section 5.2,
last example: In the line with the
last integral sign, replace Ò+ CÓ with Òdu.Ó
Chapter 6:
Applications of Integrals (handwritten)
¥ NEW!
EDITED TYPED NOTES ON 6.2: DISK METHOD AND WASHER METHOD FOR FINDING VOLUMES
NEW! (6.2): Section 6.2,
Part 1 (pdf) (typed) É Section 6.2, Part
2 (pdf) (typed) É
Section
6.2, Part 3 (pdf) (typed) É (revised
11/8/16)
Chapter 7: Logarithmic
and Exponential Functions (handwritten)
¥
WATCH ÒTHE SIMPSONSÓ!: http://www.youtube.com/watch?v=bZivCw3bB6w
Chapter 8: Inverse
Trigonometric and Hyperbolic Functions (handwritten)
(plus an integration review web site)
¥ Other ÒHandoutsÓ
Outline (for final preparation; handed out in class) (revised
8/7/12)
Chapter 3
Review (print for yourself)
Section
4.6 on Optimization (print for yourself)
¥ Syllabus (Spring 2017): Syllabus
¥ Homework Assignments
¥ Printed hard
copies of these will be provided in class.
GO
THROUGH MY HOME PAGE (OR SEE ME) IF YOU'D LIKE TO KEEP YOUR NAME
"PRIVATE" ON YOUR HOMEWORK.
¥
SPRING 2017:
Exercises for
Chapters 1 and 2 É Instructions
É Answers
É (revised 1/13/14)
¥ Precalculus
review; Limits and Continuity
Exercises for
Chapter 3 É Answers
É (revised 9/2/13)
¥ Derivatives
Exercises for
Chapter 4 É Answers
É (revised 9/26/16)
¥ Applications of
Derivatives; Graphing
Exercises for
Chapter 5 É Answers
É (revised 3/21/16)
¥ Integrals
Exercises for
Chapter 6 É Answers
É (revised 4/20/14)
¥ Applications of
Integrals; Geometry
Exercises for
Chapter 7 É Answers
É (revised 11/18/13)
¥ Logarithmic and
Exponential Functions
Exercises for
Chapter 8 É Instructions
É Answers É (revised 12/2/12)
¥ Inverse
Trigonometric and Hyperbolic Functions
¥
OLD ASSIGNMENTS FROM FALL 2016 (MAY BE UPDATED FOR SPRING 2017):
¥ Old Swokowski Homework Assignments (Spring 2009) – DONÕT
TURN THESE IN!
Just for your
reference, here are the HW assignments I assigned from the classic Swokowski text in previous semesters.
(Chs.1,2) É (Ch. 3) É (Ch. 4) É (Ch. 5) É (Ch. 6) É (Ch. 7) É
(Ch. 8)
(10-point extra credit HW + Final info)
¥ Old Exams and Solutions
(Fall 2016)
¥ Disclaimer:
Your exams might look very different from these! Lengths of exam times may be
different.
¥ If your printer is broken, you can ask me for printed hard
copies in my office hours.
Quiz (Chs. 1,2) --- Solutions (1 hour and
30 minutes)
¥ Precalculus
review; Limits and Continuity
Quiz (Ch. 3) --- Solutions (1 hour and 30
minutes)
¥ Derivatives
Quiz (Ch. 4) --- Solutions (1 hour and 45
minutes)
¥ Applications of
Derivatives; Graphing
Quiz (Ch. 5) --- Solutions (1 hour and 45
minutes)
¥ Integrals
Quiz (Ch. 6) --- Solutions (1 hour and 35
minutes)
¥ Applications of
Integrals; Geometry
Quiz (Ch. 7) --- Solutions (1 hour and 20
minutes)
¥ Logarithmic and
Exponential Functions
Final ... Solutions (Part 1:
30 minutes; Part 2: 1 hour and 45 minutes)
¥ (Comprehensive)
¥ Includes Chapter
8: Inverse Trigonometric and Hyperbolic Functions
¥ Current Exams and Solutions
(Spring 2017)
Quiz (Chs. 1,2) --- Solutions (1 hour
and 30 minutes)
¥ Precalculus
review; Limits and Continuity
Quiz (Ch. 3) --- Solutions (1 hour and 30
minutes)
¥ Derivatives
Quiz (Ch. 4) --- Solutions (1 hour and 45
minutes)
¥ Applications of
Derivatives; Graphing
Quiz (Ch. 5) --- Solutions (1 hour and 45
minutes)
¥ Integrals
Quiz (Ch. 6) --- Solutions (1 hour and 35
minutes)
¥ Applications of
Integrals; Geometry
Quiz (Ch. 7) --- Solutions (1 hour and 20
minutes)
¥ Logarithmic and
Exponential Functions
Final ... Solutions (Part 1: 30
minutes; Part 2: 1 hour and 45 minutes)
¥ (Comprehensive)
¥ Includes Chapter
8: Inverse Trigonometric and Hyperbolic Functions
¥ Exams and
solutions will be posted about a week after you take them.
Email
me (I encourage corrections!) É HOME