APPLIED CALCULUS I
Syllabus • Spring 2017 /
Course Goals
§ 1. find antiderivatives using integration by parts and tables of integrals;
§ 2. evaluate improper integrals;
§ 3. find partial derivatives;
§ 4. solve optimization and constrained optimization problems involving functions of two variables;
§ 5. evaluate double integrals;
§ 6. find derivatives and integrals of trigonometric functions;
§ 7. solve applied problems involving differentiation or integration of trigonometric functions;
§ 8. solve simple differential equations;
§ 9. solve problems involving exponential growth/decay, limited growth, and logistic growth;
§ 10. approximate functions with Taylor Polynomials;
§ 11. find event probabilities by integrating probability density functions;
§ 12. find expected value, variance, and standard deviation of continuous random variables.
Instructor: Mr. Mayer, PE
Office: 2032 / Office Hrs[1]: R 11-11:50a, TR 6:05-6:55pPhone: 510.723.7182 / eMail:
Chabot Engineering WebPage: http://www.chabotcollege.edu/faculty/bmayer/
Course Logistics
3.0 Units - 3 hrs Lecture per week / Meet: TR 4:30-6:00pRoom 1804 / Final Exam: Tue/24May/4:30p
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 15 (completed with a grade of C or higher).
Grading
Weight Function
MiniQuizzes / 4%HW Assignments / 8%
MidTerm Exam-1 / 16%
MidTerm Exam-2 / 16%
MidTerm Exam-3 / 16%
MidTerm Exam-4 / 16%
Final Exam / 24%
Σ-Total = / 100%
Grade Assignment
90%-100% / A- to A+80%-89.99% / B- to B+
70%-79.99% / C- to C+
60%-66.99% / D- to D+
60% / F
The instructor reserves the prerogative to adjust the location and/or width of the Grade-Assignment 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 = “MTH16”
On ALL eMail communication students should please include the text “MTH16” in the subject line. Otherwise the student eMail may be sent to the college SpamFilter folder which is not often inspected by the instructor.
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 the STEM Lab, Rm3906
Attendance
This course is FOUNDATIONAL for the APPLICATION; i.e., 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 you were not able to do. You will have an opportunity to ask the instructor to work these problems at the beginning of the next class period.
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 Æ 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
§ be put assignments in chronological order based on the date of the assignment; the oldest assignment first
§ 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 File[2] may Also be DownLoaded from the Course WebPage
· The student name must be on the OUTside of the folder
· turn in ALL the assignments for the HomeWork Package as noted in the schedule
♦ NO partial will be accepted. Only the FIRST submission wil be graded.
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 one-class-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 four MidTerm exams and a Final exam as indicated on the Schedule.
§ All Exams will have ASSIGNED SEATING.
· 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 be regarded as an act of Very Serious 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 may learn about the exam content prior to the MakeUp. This is simply NOT FAIR to those students who make the (sometimes extraordinary) effort to come to the exam on-time.
Doing Well In This Course
In this course students 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 and integration. 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. MTH1 or MTH25[3]):
- EXPLOIT The REQUIRED TextBook
§ Buy cheap BEER[4]; not cheap TextBooks
· 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[5],[6] 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 Words
§ 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)
♦ MuPAD[7] (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
· 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
- 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
- Take ADVANTAGE of the STEM 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/
- 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
- 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 Æ 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 Æ EXTRA CREDIT
Students can earn EXTRA Credit in the maximum amount of ONE THIRD (⅓) 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
Using Units HomeWork Æ EXTRA CREDIT
Students can earn EXTRA Credit in the maximum amount of ONE SIXTH (1/6) 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 WebSite[8]
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 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.