MATH 1B (48094)
CALCULUS
FALL 2017
Instructor: Ernesto Reyes E-mail:
Office: MTSC 125 Website: http://websites.rcc.edu/reyes
Phone: (951) 222 – 8461
Lecture time and room number: MW 2:45 p.m.— 4:50 p.m. in MTSC 107
Lab time and room number: W 5:00 p.m. — 5:50 p.m. in MTSC 107
Office Hours: TTH 10:30am-12:45am
M 11:30am-12:00pm (Virtual)
REQUIRED TEXT Single Variable Calculus Early Transcendentals, 8th edition,
James Stewart
PREREQUISITE MAT 1A: Calculus I
COURSE DESCRIPTION
Techniques of integration, applications of integration, improper integrals, infinite sequences and series, parametric equations, and polar coordinates. 72 hours lecture and 18 hours laboratory.
STUDENT LEARNING OUTCOMES
Upon successful completion of the course, students should be able to:
v Employ the basic concepts of convergence and divergence of infinite sequences and series.
v Derive Taylor Series and approximate polynomials of analytic functions.
v Graph, differentiate, and integrate functions in polar and parametric form.
v Evaluate definite, indefinite, and improper integrals using techniques of integration.
v Solve applications of integration problems, including those involving area, volume, work, arc length and force.
Attendance
Regular attendance is imperative in order to be successful in any math course. For this reason it is important that you understand that I will be taking attendance at every lecture. if you miss 3 or more class sessions, you will be dropped from the course and other students will be given the opportunity to take your spot. However, it is your responsibility to make sure that you are actually dropped from the class by logging in to Webadvisor. Note that if you miss a class, you will be responsible for the material, test, quiz, in-class activities, and any announcements given on that day. Therefore, I strongly suggest that you exchange your contact information (e.g. e-mail) with a classmate so that you do not miss out on important information.
Arriving Late/Leaving Early
It is equally important that you come to class on time to avoid any disruption or distraction among your fellow classmates. Arriving late to class and leaving early is unacceptable; if you cannot make it to class on time or unable to stay for the whole class period, then you consider finding another course that works out with your schedule. Note that arriving late or leaving early will count as absences.
Classroom Code of Ethics
Many of your classmates are making great sacrifices to achieve their academic goals. Therefore, be respectful of your classmates so that everyone is invested in each other’s learning and success in mathematics. Disrupting the instructor or holding conversation of any kind while the instructor is lecturing will not be tolerated. Additionally, to maintain a learning environment for the whole class, it is important that you understand the rules for any electronic devices you might bring with you to class e.g. cell phones, tablets, or laptops.
1. Turn off any electronic device or put it on silent mode (cell phone) before you come to class.
2. Place you device in your pocket or backpack. Please DO NOT place your cell phone on your desk or lap.
3. You may use your device during break time but DO NOT forget to turn it off once lecture resumes.
Note: You will be asked to leave if you continuously disrupt the class with the use of your cell phone.
The following statements are part of the RCC policy regarding class disruption and suspension:
· Any student who disrupts the orderly operation of a District campus, or who violates the standards of student conduct, is subject to disciplinary action. Such action may be implemented by the Chief Executive Officer of the College or designee.
· This suspension is invoked by a classroom instructor due to student misconduct in the classroom. The student may be removed from class the day of the occurrence and the subsequent class period. If such suspension occurs, the instructor will immediately notify the appropriate Department Chairperson and/or College Dean of Instruction who will, in turn, notify the College Dean of Student Services.
RCC regulation is that no eating, drinking or smoking is allowed in the classroom
Homework
Assignments are worth 10% of your overall grade and will be collected once a week, Monday. Staple your homework altogether and make sure your name, chapter and section numbers are clearly labeled on the homework set you are turning in (there is no stapler available in this classroom). Homework will not be accepted if it is not stapled. Moreover, you must show your work clearly in order to receive full credit for the homework you are turning in. Since I assign mostly odd numbers for the homework, the answers are found in the back of the book for self-check. You will NOT receive any points if you do not show any work. No late homework will be accepted under any circumstances!! The most effective way to study for major tests/exams/quizzes in math is to complete your homework assignments.
Group work
Class participation is an important component of this class for it will help you to develop your communication, cognitive, and social skills. Therefore, you are expected to participate in all in-class activities. This is another reason why attendance is pivotal in this class.
Quizzes
Most quizzes will be announced in advance.
Tests
Please make sure you arrive on time for each test/quizzes and use the restroom before the test begins. Once the class starts taking the test, no more tests will be handed out to students. Also, there will be NO make-up tests in this class unless you can provide a compelling proof, e.g. doctor’s note. A planned family vacation or other events do not constitute a valid excuse for not taking the test on the assigned date. ONLY students who turn in their homework assignments and have good attendance will be granted the opportunity for a test redo, if there is one.
Final Exam
Failure to take the Final Exam will result in an automatic F grade for the course.
Disability Resource Center
“If you have a physical, psychiatric/emotional, medical, or learning disability that may impact your ability to carry out assigned course work, I urge you to contact the staff in Disability Resource Center (DRC), in CAK 130 or call at (951) 222-8060. DRC will review your concerns and determine, with you, what accommodations are necessary and appropriate. All information and documentation is confidential.”
Cheating
If you get caught cheating, you will be given an “F” grade for the particular assignment, test or quiz, and disciplinary action will be taken. Please do not share your calculator, pencil, and/or eraser during the test or quiz to prevent any misunderstanding.
Grading
You will be able to check your current grade online by accessing my websites, http://websites.rcc.edu/reyes/. This website is not the same as Blackboard. Final grade will consist of participation, homework, handouts, quizzes, four tests and a final exam. Yes, the final exam is cumulative and your grade will be calculated as follows:
Percentage / Points / Grade90%-100% / 900-1000 / A
80%-89% / 800-899 / B
70%-79% / 700-799 / C
60%-69% / 600-699 / D
Less than 60% / 0-599 / F
Tests / Points / Your Points
Test 1 / 150 pts.
Test 2 / 150 pts.
Test 3 / 150 pts.
Test 4 / 150 pts.
Homework / 100 pts.
Quizzes/Handouts / 50 pts.
Final Exam / 250 pts.
Total Possible Points / 1000 pts.
Note: The following schedule is subject to change without notice.
Write this on the upper right corner of your paper.Jane Doe ß Your first & last names
Math 35 ß Your class
2.3 ß The assignment section(s
# / Section / Topics / Homework Assignments
1 / 5.3 / The Fundamental Theorem of Calculus / 3,9, 12, 18, 21, 27, 31, 37, 39, 42, 44, 56, 59,67, 73
2 / 5.4 / Indefinite integrals and the Net Change Theorem / 11,12,16,17,18, 25,35,36,41, 44,49, 50, 53
3 / 5.5 / The substitution rule / 7,10,11,17,21,23,28,31,39,43,45,48, 59,70, 87, 92*
4 / 7.1 / Integration by parts / 3,7, 11,15, 17,18, 24, 27, 31,34,39, 47, 51, 55
5 / 7.2 / Trigonometric integrals / 3,7,11, 17,23,27,31,35, 41,49,56
6 / 7.3 / Trigonometric substitution / 3, 7,13,16,17, 21, 22, 27, 31, 32
7 / 7.4 / Integration of rational functions by partial fractions / 3, 6, 11, 17,23,26, 29,31,34, 43, 47, 61,
8 / 7.5 / Strategy for integration / 1, 7, 10,15, 17, 23, 31, 39,41, 45, 49, 57, 63, 71
Exam 1 (September 18)
9 / 6.1 / Area between curves / 3,7,9, 11,13,17,21,27,26, 31(GC),33,41
10 / 6.2 / Volumes / 1,5,7,9,11, 14, 15, 21,29,32,33,41,47,49,55
11 / 6.3 / Volumes by cylindrical shells / 3,5,9,13,19, 22,25, 29, 31,38,43
12 / 6.4 / Work / 2,5,7,9,13,15,21,23,24
13 / 6.5 / Average value of a function / 1,3,7, 9, 13,17,19
Exam 2 (October 11)
14 / 7.6 / Integration using tables and computer algebra systems / 3,7,11,15,17, 19, 21,29,3135
15 / 7.7 / Approximate integration / 3,7,13,21,35
16 / 7.8 / Improper integrals / 1,2,5, 7,13,21,27, 29, 31, 35,42,49,57, 61, 68,77
17 / 8.1 / Arc length / 1, 3,5,9,13,15,19,25,33, 35
18 / 8.2 / Area of a surface of revolution / 1,5,7,13,15,27, 28, 31,35
19 / 8.3 / Application to physics and engineering / 2,3, 5, 7, 13,15, 22, 23,27,29,31,34,37
20 / 8.4 / Application to economics and biology (*) / TBA
21 / 9.3 / Separable Equations / 3,9,11,13,17,18,20,21,31, 43, 52,
Exam 3 (November 1)
28 / 11.1 / Sequences / 1,5,9,11,14,15,17,21,23,27,33,37,41,43,47,53,55,65,71,73,81, 86
29 / 11.2 / Series / 3,5,7,9,15, 16,23,26,27,28,30,31,35,39,43,45,47, 49,57, 61,81
30 / 11.3 / The Integral test and Estimates of sums / 3,5,7,11,15,17,19,21,27,29,33,34,35,37
31 / 11.4 / The Comparison tests / 1,3,5,7,11,13,17,18,21,23,24,27,29,31,35,41
32 / 11.5 / Alternating series / 1,3,5,7,11,15,17,19,25,27,32,33,
33 / 11.6 / Absolute convergence and the Ratio and Root test / 1,3,7,11,13,17,19,21,26,28,30,31,33,35,37,43
34 / 11.7 / Strategy for testing series / 1-37(ODD)
35 / 11.8 / Power series / 1,3,5,7,13,14,15,17,19,23,25,27,29,30
Exam 4 (November 27)
36 / 11.9 / Representation of functions as power series / 3,5,8,13,15,17,23,25,29,31,34,36,37,39
37 / 11.10 / Taylor and Maclaurin series / 5,7,11,15,17,23,27,33,39,44,49,51,59,73
38 / 11.11 / Application of Taylor polynomials (*) / 5,9,13a,18,25,29
22 / 10.1 / Curves defined by parametric equations / 4,7,9,13,15,17,21,25,28,37
23 / 10.2 / Calculus with parametric curves / 1,5,11,15,17,23,31,39,41,51,61
24 / 10.3 / Polar coordinates / 3,6,11,15,17, 25,26,33,41,47,54,57,61
25 / 10.4 / Areas and lengths in polar coordinates / 5,7,17,19,26,29,31,37,41,47
26 / 10.5 / Conic sections (*) / 5,7,9,10,16,17,18,23,33,35,37,40,44,48,63
27 / 10.6 / Conic sections in polar coordinates (*) / 2,5,6,7,8,10,12,13,14,15,16
Final Exam: December 13
Day: Wednesday
Time: 2:00pm-4:30pm
“I hear and I forget. I see and I remember. I do and I understand.”
Confucius
“If I were again beginning my studies, I would follow the advice of Plato and start
with mathematics.” Galileo Galilei
“Study without desire spoils the memory, and it retains nothing that it takes in.”
Leonardo Da Vinci
Basic Guidelines for Group/Lab Work
1. The instructor will divide the class into groups of 4 or 5 students. Once you are assigned to a particular group, it is your responsibility to get together with your group members for in-class activities.
2. The instructor will provide the assignment(s) in a folder to each group. 30 minutes of class time, more if needed, will be dedicated to group discussion/work. Once the group discussion/work is completed, the folder will be collected and graded.
3. Group work is an opportunity to discuss previously assigned videos, homework, worksheet, or any other assignments with your fellow classmates. This means that you have to do the assignments prior to attending class so that your group can have a meaningful discussion.
3. Be respectful of one another and give everyone in your group the opportunity to present their point of view. Also, make sure everyone in the group fully understands what is being discussed.
4. Should you have any questions or concerns, let the instructor know during office hours.
HOW TO BE SUCCESSFUL IN A MATH COURSE
· State of Mind: Come to class with a positive (learning) attitude and focus on your strengths.
· Attendance: show up on time to every lecture day and take good notes on the material that is being presented
· Ask Questions: If you have any math question during class time, do not hesitate to ask me for additional explanation. I strongly encourage you to ask me on any topic that seems to be unclear.
· Tutoring: Free walk-in tutoring is going to available at the Math Learning Center which is located on the third floor in the MLK building. There is also free tutoring at the Tutorial Services located on the second floor of the MLK building.
· SI Sessions: Please make every effort to attend the SI sessions; the SI leader is a student who has excelled in this course.
· Priority: Do not leave things at the last minute.
· Study Groups: I recommend that you get together and form a study group of 2 or 3 maximum. Remember; more than two brains are better than one.
HAVE A SUCCESSFUL SEMESTER!!!!!