Mathematics-15 • CRN 30984
APPLIED CALCULUS I
Syllabus • Spring 2016
Course Goals
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1. graph polynomial, rational, exponential and logarithmic functions;
2. find limits numerically, graphically, and using limit properties;
3. determine intervals of continuity graphically and using continuity properties;
4. differentiate using the definition of the derivative;
5. differentiate using the rules of differentiation including the chain rule;
6. find equations of tangent lines;
7. find marginal cost, marginal revenue and marginal profit;
8. find all maxima, minima and points of inflection;
9. solve applied optimization problems;
10. differentiate implicitly;
11. solve related rate problems;
12. find antiderivatives using basic rules of integration and substitution;
13. evaluate definite integrals using the Fundamental Theorem of Calculus;
14. find total change given rate of change.
Instructor: Mr. Mayer, PE
Office: 2032
Office Hrs1: R 11-11:50a, TR 6-6:50p
Phone: 510.723.7182
eMail: bmayer@chabotcollege.edu
Chabot Engineering WebPage: http://www.chabotcollege.edu/faculty/bmayer/
Course Logistics
3.0 Units - 3 hrs Lecture per week
Meet: TR 7-8:15p
Room 1703
Final Exam: Tue/24May16/7p
Text (Required):
Laurence D. Hoffmann, Gerald L. Bradley, David Sobecki, Michael Price, Applied Calculus
for Business, Economics, and the Social and Life Sciences, Expanded Edition, 11th Edition,
McGraw-Hill, Hardcover, 1088 pages, ©2013, ISBN-13 9780073532370
PreReq: Prerequisite Mathematics: 31 or 20 (completed with a grade of C or higher).
1
Office hours may change from time-to-time based on the needs of the students and the college. Please consult
the Engineering WebSite HomePage for the most current office-hour schedule.
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 1
Grading
Weight Function
MiniQuizzes
HW Assignments
MidTerm Exam-1
MidTerm Exam-2
MidTerm Exam-3
Final Exam
Σ-Total =
7%
12%
18%
18%
18%
27%
100%
Grade Assignment
90%-100%
80%-89.99%
70%-79.99%
60%-66.99%
<60%
A- to A+
B- to B+
C- to C+
D- to D+
F
The instructor reserves the prerogative to adjust the location and/or width of the GradeAssignment bands based solely on his professional judgment of overall class performance.
NOTE: Keep all your graded work until AFTER you have received your final grade. This grading
record will help to substantiate any grade-recording errors committed by the instructor.
Start-of-Term Add Policy
;Summary for FULL Classes
 A Student WILL be DROPPED from this course If He/She MISSES
 BOTH Meetings 1 & 2
♦ Or
 Meeting-2
 Add No.s to replace the dropped students shall be issued at the END of Meeting-2 in the
order prescribed by the WaitList
 NO Add No.s shall be given after meeting-2
Classes that have space will allow adds up to the FOURTH Class meeting.
eMail Communication → SpamFilter Avoidance = “MTH15”
On ALL eMail communication students should please include the text “MTH15” in the subject
line. Otherwise the student eMail may be sent to the college SpamFilter folder which is not often
inspected by the instructor.
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 2
Supplies and Equipment
Required
 Stapler
 Paper, 8½ by 11 inches
 Graph paper - Engineering Computation Pad Recommended
 Folder, 3-hole Binding (see Figure 1)
 Pens or pencils, no red ink please
 Quality Straight-Edge Ruler – mm and inches recommended
 Calculator – Scientific
Optional
 Access to InterNet Capable Computer
 Available in STEM lab Rm3906
Attendance
This course is FOUNDATIONAL for the APPLICATION; i.e.2, practical use, of mathematics; that
is, the concepts and skills covered in this course are used ON THE JOB. The KEY to developing
these skills is CONSISTENCY – Come to class EVERY time, complete the HomeWork EVERY
DAY.
Coming-Late or Leaving-Early should be rare events. If a student needs to arrive late or leave
early, please find a seat near the door. Please enter or leave quietly, so as to not disturb the rest
of the class. Instructors consider a student walking between the instructor and the class to be a
very inconsiderate and discourteous act.
HomeWork
Homework will be assigned as noted on the course schedule, and should be completed before
the next class meeting. The answers to the odd numbered problems are in the back of the
book. Check your answers. Mark all the exercises that proved too difficult to complete. Students
will have an opportunity to ask the instructor to work these problems at the beginning of the next
class session.
Homework will be collected on the Due Dates noted on the schedule; typically the class session
immediately following an Exam. To receive full credit for the homework, a student must:
 show all his/her work (no work  no credit)
 be neat; If it can’t be read, it can’t be understood or graded
 start each section on a new page with the chapter and section number in the upper right
hand corner
 please put assignments in chronological order based on the date of the assignment; the
oldest assignment first; e.g., Top=07, Bottom=16
2
i.e. stands for the Latin “id est” which translates to English as “that is”
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 3
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Securely fasten all assignments in a folder (not a binder) similar to that shown in Figure
1 to form the Homework Packages as indicated in the schedule.
 The FIRST page on the inside of the folder must be the MTH-15/16 HomeWork
Package Cover Sheet (Figure 1, Left photo)
♦ Copies of the CoverSheet will be provided before HWpkg-01 is due
o The CoverSheet MSWord PDF File 3 may Also be DownLoaded from the
Course WebPage
 The student name must be visible on the OUTside of the folder
 Turn in all the assignments for the HomeWork Package as noted in the schedule
Late Homework Packages may be turned in ONE class-meeting late with a 15% penalty.
 The instructor may, solely at his discretion, accept late homework sets beyond the oneclass-meeting late deadline in extenuating circumstances.
MiniQuizzes
40-50, single-problem “MiniQuizzes” will be administered during the course of the term. The
MiniQuizzes (or MQs) will be “pop” in nature; that is, the MQs are not announced in advance.
Some details on the MQs:
 MQs may be administered at ANY time during the class period
 Some Class Meetings may have NO MQ
 Some Class Meetings may have MORE THAN ONE MQ
 MQ content will consist of the subject matter covered during the previous class meeting
 Content may be drawn from either the Lecture or TextBook
 MQ Duration shall be 5 minutes. MQs will be collected promptly after the 5 minute
duration; NO extra time will be allowed for any reason.
 There will be NO MakeUp MQs for any reason
 MQ’s will NOT be Returned
 MQ scoring:
 0 Points → Student does not take the MQ
 1 Point → Student takes the MQ, but shows NO, or LITTLE, evidence that the student
gave his/her full attention to the previous lecture(s) and reading(s).
 2 Points → Student takes the MQ and shows SUBSTANIAL evidence that the student
gave his/her full attention to the previous lecture(s) and reading(s) but the student
arrives at an incorrect result.
 3 Points → The student arrives at the correct result AND Demonstrates
UNDERSTANDING
Exams
All Exams are CLOSED-Book. There will be three MidTerm exams and a Final exam as indicated
on the Schedule.
 There will be ASSIGNED SEATING for all exams.
3
Click the Link to DownLoad Link HomeWork Package Cover Sheet
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 4
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On Exam Days the instructor will place the exams on the desks, FACE DOWN, with a
student name written on the back of the Exam. Each Student is requested to find the
exam with his/her name on it and take that seat withOUT turning over the exam until
notified by the instructor.
♦ Turning over the exam early will be regarded as an act of Academic DIShonesty
♦ Taking a seat other than that assigned will also be regarded as an act of Academic
DIShonesty
All students are requested to be ON TIME on Exam Days.
MakeUp exams are only offered in those cases where the student can provide 3rd party
justification (e.g., a note from a medical doctor, or law enforcement officer) for the
absence.
 Any MakeUp exam must be taken the NEXT day, at a time & location determined by
the instructor.
 All MakeUp exams are subject to a 15% score-penalty.
♦ MakeUp exam takers have extra study time, and that is NOT FAIR to those
students who make the (sometimes extraordinary) effort to come to the exam ontime.
Applied Calculus On The Job
A Good Employee will Use Calculus-Based mathematical models in the course
of his/her professional duties
A GREAT Employee will MAKE Calculus-Based mathematical models in the
course of his/her professional duties
Doing Well In This Course
In this course students start and complete the transition from NONinfinitesimal (finite valued)
Math such as Algebra, GeoMetry, and TrigonoMetry to infinitesimal (really small, or really large)
math known as calculus. All subsequent math courses ASSUME that the student has SOLID
COMMAND of the primary calculus operations of derivation. Integration, and antiderivation.
Building this foundation of Calculus Knowledge & Skills requires Effort, Diligence, and Time.
Following are suggestions that will help a serious student to master the material, and prepare
him/her for more advanced math courses (e.g. MTH16 or MTH254):
1. EXPLOIT The REQUIRED TextBook
 Buy cheap BEER5; not cheap TextBooks
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5
MTH25 is HIGHLY recommended for serious applied-math Business or LifeScience majors
Applies to students 21 years of age or older
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 5
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Every Student’s future WORKING LIFETIME depends, in some part, earning a good
grade in this course.
♦ Making the Optimum Book Choice improves a student’s probability of Success in
this course
o Do NOT buy: OLD Editions or International Editions
o Good Condition USED books of the proper edition are aOK
o Do NOT RENT or SELL textbooks that relate to a student’s Career Choice
 Do not merely read the text; WORK the text
 Obtain the Required TextBook IMMEDIATELY and start USING IT
 BEFORE attempting the HomeWork assignment, go thru the chapter with a PENCIL
& PAPER.
♦ Work the EXAMPLE problems until you can solve them without referring to the text
solution
LISTEN to the Instructor
 A second point of view that differs from the TextBook usually aids understanding
 Students in this class have the unusual circumstance and great good fortune to have
as the instructor someone who performed Applied Calculus 6 , 7 as part of his
PROFESSIONAL duties.
 Try working the examples that the instructor does on the WhiteBoard
 The Instructor’s WhiteBoard Notes are posted on the Course WebPage
 What the instructor covers in his/her OWN WORDS usually ends up on Exams
Use LOTS of PAPER when working Example and HomeWork Problems
 Write down concepts in your OWN Word, i.e., explain it to YOURSELF
 Do NOT SKIP STEPS
 Write down your thoughts on the problem steps
 Use Many Vertical-Format “Reduction Lines” to clearly show solution steps.
 See the Instructor’s solutions at the end of the lecture files as posted to the webpage
for examples of vertically-formatted reduction
DRAW LOTS of DIAGRAMS and/or TABLES
 When analyzing a REAL WORLD “word problem” try one or more of:
 drawing a representative DIAGRAM
 TABULATING related quantities after EVERY analytical step
LEARN A COMPUTER GRAPHING INSTRUMENT
 When analyzing a REAL WORLD “word problems” try one or more of:
 A Graphing Calculator such as the TI-[83+, 84+, 86, 89, 95+]. See Figure 2.
 Computer Number or Math Processing software that produces function graphs
 MSExcel (Shortest Learning Curve)
 MATLAB (Best analytical capability)
 MuPAD8 (most “hand-math” like)``
LEARN from any MISTAKES
 ALWAYS do a POST MORTEM examination on all Quizzes and Tests; i.e. figure out
what went WRONG and FIX it before the next Quiz/Exam
 Suggested Port-Mortem Process
B. Mayer, “Small Signal Analysis of Source Vapor Control Requirements for APCVD”, IEEE Transactions on
Semiconductor Manufacturing, vol. 9, no. 3, pp. 344-365, 1996
7 B. Mayer, C. C. Collins, M. Walton, “Transient Analysis of Carrier Gas Saturation in Liquid Source Vapor
Generators”, Journal of Vacuum Science Technolgy A, vol. 19, no.1, pp. 329-344, Jan/Feb 2001
8 MATLAB, MuPAD, and MSExcel are all topics in covered in MTH25
6
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 6
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Put your exam and the instructor’s SOLUTION Side-by-Side
♦ Locate the source of any error(s) and correct it/them
 Put away the Solution and RETAKE the Exam Until you UNDERSTAND the Solution
Process
7. PUT IN the TIME
 A serious College/University student will spend 6-8 hours per week OUTside of class
studying the course-material, working the homework assignments, and preparing for
Exams
 Stay on the assignment schedule to avoid “Rush Jobs” that produce MINIMAL learning,
and to avoid Late Penalties
8. Take ADVANTAGE of the STEM9 Lab in Rm3906
 Provides mathematics students currently enrolled in any mathematics course with
tutorial assistance from an instructor, student tutors, and fellow classmates. See
http://www.chabotcollege.edu/learningconnection/mathlab/
9. Use UNITS
 Use UNITS (lbs, meters, seconds, Kelvins, etc.) to the maximum possible extent. Units
connect an Analyst’s thinking to the Real, Physical or Business World
10. ASSIST your COLLEAGUES
 One of the best ways to LEARN something is to TEACH it to someone else.
 If a ClassMate seeks your assistance with the HomeWork or in the Lab, do your best
to accommodate him/her with a careful explanation
1-to-1 Tutoring  The Learning Connection Program
The LC (formerly PATH) is a Learning Connection Program at Chabot College. The LC Center
offers small group and one-on-one peer tutoring in a wide variety of subjects. Each
appointment is scheduled for 50-minutes. Subjects tutored are based upon demand. For More
information on this excellent tutoring resource please see
 http://www.chabotcollege.edu/learningconnection/path/
How to Study Like a College Student  EXTRA CREDIT
Students can earn EXTRA Credit in the maximum amount of ONE SIXTH (1⁄6) of a
HomeWork Package for completing the Take Home Quiz based on the College Student Study
Skills presentation.
 The Presentation may be found on the Course WebPage
 The Take Home Quiz (THQ) is due as noted on the schedule
 NO Late THQs accepted
 The THQ is turned in SEPARATELY from the HomeWork Packages
9
STEM = Science, Technology, Engineering, and Math
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 7
Using Units HomeWork  EXTRA CREDIT
Students can earn EXTRA Credit in the maximum amount of ONE TENTH (1⁄10) of a
HomeWork Package for completing the Using Units HomeWork based on the Using Units
Presentation
 The Presentation may be found on the Course WebPage
 The Using Units (HW-UU) is due as noted on the schedule
 NO Late HW-UUs accepted
 The HW-UU is turned in SEPARATELY from the HomeWork Packages
Withdrawal From Course
From the Chabot College WebSite10
Dropping Classes
Students are responsible for dropping or withdrawing from classes. Failure to follow the
withdrawal procedures may result in a grade of "F". Students who drop before the No Grade of
Record (NGR) period will not have a grade appear on their transcript.
After the NGR (No Grade of Record) date any student wishing to withdraw from the course to
receive a “W” on his/her grade-transcript MUST, to completely avoid an “F” grade, initiate the
withdrawal through the Admissions & Records process. In other words, the STUDENT must drop
the course either using CLASS-Web, or in-person in the Community Student Services Center,
Bldg-700.
 Do NOT ASSUME that the instructor will drop any student from the course
The instructor MAY drop students from the course at the “Last day to drop with a ‘W’ (Withdrawal)
as indicated in the “Academic Calendar” published in the Chabot College class schedule and
posted on the WebSite. The “W-Date” is typically about 70% of the way thru the term. Any
student who fails to take the course seriously earns a W. Evidence of a lack of commitment to
the course includes these W-earning actions:
 Not ATTENDING class for 3 weeks prior to the W-Date
 Not turning in the two HomeWork Packages immediately prior to the W-Date
 Not taking MidTermExam(s)
ClassRoom Courtesy
As a courtesy to other students and the instructor in any classroom:
1. When coming-late or leaving-early, PLEASE do NOT walk in FRONT of the instructor while
he/she is speaking
 Please take a seat as UNOBSTRUSIVELY as possible.
 The goal for coming-late or leaving-early students is that NO ONE notices the
entrance or exit.
2. PLEASE do NOT activate any PRINTERS (or other noise-making objects) during lectures or
discussions
3. PLEASE do NOT Type/KeyBoard during lectures or discussions
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See: http://www.chabotcollege.edu/admissions/registration/add_drop.asp
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 8
4.
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PLEASE do NOT hold side-conversations during lectures or discussions
PLEASE set all CELL PHONES to VIBRATE before entering the classroom
PLEASE do NOT bring LIQUIDS into Computer Labs
PLEASE DO ask QUESTIONS about the course content
Student Conduct - General
Everyone in this class, including the instructor, is a mature adult, so Courteous and Respectful
behavior is expected at all times.
 Please & ThankYou go a long way to make a pleasant atmosphere.
 Swearing is not appropriate for the classroom.
VISITORS: Note that College policy does NOT allow visitors in the classroom.
EATING: Eating is not permitted in Chabot College classrooms. Please eat all food outside the
classroom.
BE PREPARED: Bring paper, your book, and extra pencils or pens. Sharpen your pencils before
the class starts. Take care of your personal needs before class starts.
HELP KEEP FACILITIES CLEAN & NEAT: Put all trash in the waste basket. Check your desk
area before departing to ensure that you have not left any personal items. If you are working in
groups, please return your desk to its original position.
Student conduct, and consequences for misconduct, shall follow the policies described in the
STUDENT RIGHTS AND RESPONSIBILITIES” section of the Chabot College course catalog.
 The minimum sanction for misconduct shall be removal of the student from Class for the
remainder of the class period
Academic Dishonesty
Academic Dishonesty of Any Kind WILL NOT BE TOLERATED
Any act of academic dishonesty
 Will result in a grade of ZERO (0) for the assignment/task in which the offense occurred
 May result, in the sole discretion of the instructor, in the assignment of a grade of F for
the COURSE
 May trigger the formal Chabot College Academic Dishonesty discipline process as
described in the “STUDENT RIGHTS AND RESPONSIBILITIES” section of the Chabot
College course catalog
IMPORTANT INFORMATION REGARDING THE SEMESTER
CALENDAR AND OTHER RELEVANT STUDENT INFORMATION IS
PROVIDED IN THE SCHEDULE OF CLASSES, THE COLLEGE
CATALOG, OR THE COLLEGE WEBSITE.
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 9
Figure 1 – Homework-Package folder. The Cover Sheet (left) must be the first Page.
The folder must BIND the stapled Homework Assignments
Figure 2 • TextBook Graphing-Calculator Resource. See: http://highered.mcgrawhill.com/sites/0073532371/student_view0/calculator_keystroke_guide.html.
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 10
Tentative HomeWork Assignments – Rev. 02Jan16
Adjustments Made As-Needed by the Instructor. For UpDates See Course WebSite:
 http://www.chabotcollege.edu/faculty/bmayer/ChabotEngineeringCourses/MTH-15.htm
HW Sec
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1.1
1.2
1.3
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1.5
1.6
2.1
2.2
2.3
2.4
2.5
2.6
3.1
3.2
3.3
3.4
3.5
4.1
4.2
4.3
4.4
5.1
5.2
5.3
5.4
P01 P02 P03 P04 P05 P06 P07 P08 P09 P10 P11 P12 P13 P14 P15 P16 P17 P18 P19 P20
1
1
3
1
3
2
1
1
3
1
1
3
4
2
5
1
3
1
1
3
1
5
1
1
3
5
5
7
5
7
7
5
5
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5
5
7
5
5
9
5
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4
11
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5
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15
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19
11
15
15
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29
17
17
15
21
25
19
21
17
17
17
23
21
23
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23
21
23
21
21
21
15
21
17
21
31
25
23
21
25
27
25
23
21
21
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29
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29
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25
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27
25
19
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35
29
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27
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33
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87
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© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 11
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HW Sec P01 P02 P03 P04 P05 P06 P07 P08 P09 P10 P11 P12 P13 P14 P15 P16 P17 P18 P19 P20
26 5.5
1
5
7
9
11
13
15
19
21
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29
33
37
39
41
27 5.6
1
5
9
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47
IC
RE2
RE3
29
7
33
12
69
15
72
19
23
31
37
43
54
NOTES
1. “RE” ≡ Review Exercises located at the end of the chapter
2. 470 Problems Total
Tentative Schedule – Rev. 02Jan16
Adjustments Made As-Needed by the Instructor → Check often the Course WebPage:
 http://www.chabotcollege.edu/faculty/bmayer/ChabotEngineeringCourses/MTH-15.htm
Mtg
Day
Date
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8
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T
R
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19-Jan-16
21-Jan-16
26-Jan-16
28-Jan-16
2-Feb-16
4-Feb-16
9-Feb-16
11-Feb-16
16-Feb-16
18-Feb-16
23-Feb-16
25-Feb-16
Reading Assignment
HmWork
Roll-Call, Syllabus, Take Home Quiz (THQ)
§1.1 Functions; What are they
§1.2 The Graph of a Function
§1.3 Lines & Linear Functions
§1.4 Functional Models
§1.5 Limits
§1.6 OneSided-Limits & Continuity
§2.1 Calculus → The Derivative
§2.2 Methods of Differentiation
§2.3 Derivative Rules
§2.4 the Chain Rule
MidTermExam-1 §1.1-2.4 → Work Problems
THQ
HW01,UU
HW02
HW03
HW04
HW05
HW06
HW07
HW08
HW09
HW10
Due
Notes
Examine WebPage
HW-UU → Extra-Credit
THQ
HW-UU
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 12
THQ Not Part of HWpkg
UU Not Part of HWpkg
Assigned Seating
Mtg
Day
Date
13
14
15
16
17
18
19
IC
SB
SB
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
T
R
T
R
T
R
T
R
T
R
T
R
T
R
T
R
T
R
T
R
T
R
T
R
Tue
1-Mar-16
3-Mar-16
8-Mar-16
10-Mar-16
15-Mar-16
17-Mar-16
22-Mar-16
24-Mar-16
29-Mar-16
31-Mar-16
5-Apr-16
7-Apr-16
12-Apr-16
14-Apr-16
19-Apr-16
21-Apr-16
26-Apr-16
28-Apr-16
3-May-16
5-May-16
10-May-16
12-May-16
17-May-16
19-May-16
24-May-16
Reading Assignment
§2.5 Marginal Analysis and Increments
§2.6 Implicit-Differentiation & Related-Rates
§3.1 Extrema: Max & Min
§3.2 Inflection Points
§3.3 Curve Sketching
§3.4 Optimization
§3.5 Applied Optimization
NO CLASS MEETING - Instructor Conference
Spring Break - No Class
Spring Break - No Class
MidTermExam-2 §2.5-3.5 → Work Problems
§4.1 bx, ex, Continuous Compounding
§4.2 Logarithmic Functions
§4.3 d(exp)/dx and d(log)/dx
§4.4 Exponential Model Applications
§5.1 AntiDerivatives & Differential Equations
§5.2 AntiDerivatives by Substitution
§5.3 Fundamental Theorem of Calculus
MidTermExam-3 Prep Review
MidTermExam-3 §4.1-5.3 → Work Problems
§5.4 Definite Integration Applications
§5.5 Integration Applications for Biz & Econ
§5.6 Integration Applications for Life & Sco Sci
Final Exam Prep Review
Final Exam:7-8:50pm - Comprehensive
HmWork
Due
HW11
HW12
HW13
HW14
HW15
HW16
HW17
HW-IC
HWpkg-1
HW01 → HW10
HW18
HW19
HW20
HW21
HW22
HW23
HW24
HWpkg-2
HW11 → HW17
HW25*
HW26*
HW27*
Notes
W-Date: 17Apr16
HW-IC
HWpkg-3
* NOTE: NTI = NOT TURNED IN
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 13
IC NOT part of HWpkg
Assigned Seating
HW18 → HW24
Assigned Seating
Print Date/Time = 19-Jan-16/13:28
© Bruce Mayer, PE • Chabot College • MTH15_Syllabus_Sp16_160115.docx • Page 14