MATH 1B (48327)

CALCULUS

FALL 2014

Instructor: Ernesto Reyes

E-mail:

Phone:(951) 222 – 8461

Office:MTSC125

Website:

Days, time, location:

TTh6:00 pm--8:05 pm (Lecture in MTSC 107)

T8:15 pm-9:05 pm (Lab in MTSC 107)

Office Hours:M-Th 2:30p.m.—4:00p.m.

REQUIRED TEXT

Single Variable Calculus: Early Transcendentals by James Stewart, 7th edition.

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:

Employ the basic concepts of convergence and divergence of infinite sequences and series.

Derive Taylor Series and approximate polynomials of analytic functions.

Graph, differentiate, and integrate functions in polar and parametric form.

Evaluate definite, indefinite, and improper integrals using techniques of integration.

Solve applications of integration problems, including those involving area, volume, work, arc length and force.

Attendance

Regular attendance is necessary 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, including the lab, you will be dropped from the course and other students will be given the opportunity to take your spot, if applicable. However, it isyour responsibility to make sure that you areactually dropped from the class. Also, note that if you miss a class, you will be responsible for the material, test, quiz, in-class activities, and announcements given on that day. Therefore, I strongly suggest that you exchange contact information (e-mail) with another classmate so that you do not miss out on important information.

Arriving Late/Leaving Early

It is also important that you come to class on time to avoid any disruption or distraction among your fellow classmates. Arriving lateand leaving early is not going to be tolerated, if you cannot make it to class on time or unable to stay for the whole class period, then you may want to find another course that works out with your schedule. Note that arriving lateor 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 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 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.

The following statements are part of the RCC policy regarding class disruption and suspension:

  • Any student who disrupts the orderly operation of a Districtcampus, or who violates the standards of student conduct, issubject to disciplinary action. Such action may be implementedby 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 oncea week, Tuesday. Staple your homework altogether and make sure your name, chapter andsection numbers are clearly labeled on the homework set you are turning in (there is not a 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!!

Class Participation

Class participation is an important component of this class for it will help you to develop your communication, cognitive, social, and physical skills. Therefore, you are expected to participate in all in-class activities.

Tests & Quizzes

There will be NO make-up opportunities for in-class tests or quizzes unless you can provide a compelling proof, e.g. doctor’s note. In other words, a planned family vacation does not count.

Final Exam

Failure to take the Final Exam will result in an automatic F grade for the course.

Disabled Students Programs and Services

“If you have a physical, psychiatric/emotional, medical, or learning disabilitythat may impact your ability to carry out assigned course work, I urge you to contact the staff in Disabled Student Services, in Administration 121 or call at (951) 222-8060. DSP&S will review your concerns and determine, with you, what accommodations are necessary and appropriate. All information and documentation is confidential.”

Cheating

Ifyou get caught cheating, you will be given an “F” grade for the particular assignment, test or quiz, and disciplinary action will be taken. So, DO NOT do it.

Grading

You will be able to check your current grade online by accessing . Final grade will consist of homework(10%),in-class major tests (50%), presentation and participation (5%), and quizzes (10%) and final exam (25%).

Tests / Points / Your Points
Test 1 / 125pts.
Test 2 / 125pts.
Test 3 / 125pts.
Test 4 / 125 pts.
Homework / 100 pts.
Quizzes / 100 pts.
Participation / 50 pts.
Final Exam / 250 pts.
Total Possible Points / 1000 pts.
Percentage / Grade
90%-100% / A
80%-89% / B
70%-79% / C
60%-69% / D
Less than 60% / F

Assignments

Note: I reserve the right to alter this schedule.

# / Section / Topics / Homework Assignments
1 / 5.3 / The Fundamental Theorem of Calculus / 2,8,11,17,22,29,35,43,45,51,55
2 / 5.4 / Indefinite integrals and the Net Change Theorem / 2,10,12,16,18,27,35,38,40,46,49,56,60,61,64
3 / 5.5 / The substitution rule / 7,10,11,17,21,23,24,28,35,40,42,47,48,60,65,70,85,86
4 / 7.1 / Integration by parts / 3, 9,10, 17,18, 23, 27, 35,34,39, 47, 51, 69
5 / 7.2 / Trigonometric integrals / 3,7,11, 17,23,29,31,35, 41,49,56
6 / 7.3 / Trigonometric substitution / 3, 7,13,16,17, 21,27, 31,
7 / 7.4 / Integration of rational functions by partial fractions / 3, 6, 11, 17,20,29,31,34, 43, 47, 61,
8 / 7.5 / Strategy for integration / 1, 5, 10,15, 19, 23, 27, 26, 29, 31, 39,41, 43
Exam 1 (September 16)
9 / 6.1 / Area between curves / 1,3,7, 11,13,16,19,25,26,29,31,50,53
10 / 6.2 / Volumes / 1,5,9,12,15,18,21,25,28,33,41,45,47,49,55,61
11 / 6.3 / Volumes by cylindrical shells / 3,5,9,13,15,19,25,31,38,42,45
12 / 6.4 / Work / 3,5,6,7,9,13,15,17,21,25,28,31,39
13 / 6.5 / Average value of a function / 1,3,7, 9, 13,17,19
Exam 2 (October 9)
14 / 7.6 / Integration using tables and computer algebra systems / 3,7,9,11,15,17,21,25,26,3135
15 / 7.7 / Approximate integration / 3,13,17,21,35
16 / 7.8 / Improper integrals / 2,5,9,13,21,27,31,33,35,41,49,52,58,59 71,75
17 / 8.1 / Arc length / 3,5,7,13,16,19,25, 31, 33, 35
18 / 8.2 / Area of a surface of revolution / 1,5,7,11,15,19,25,30, 33, 35
19 / 8.3 / Application to physics and engineering / 2,7, 13,15,21,23,25,27,31,41
20 / 8.4 / Application to economics and biology (*) / TBA
21 / 9.3 / Separable Equations / 3,9,11,13,17,18,20,21
Exam 3 (October 30)
28 / 11.1 / Sequences / 1,5,9,11,14,15,17,21,25,26,27,30,33,37,41,43,47,52,53,55,65,71,73,81, 86
29 / 11.2 / Series / 3,8,9,14,15,23,26,27,28,,30,31,35,39,43,45,47,51,57,67,73,79
30 / 11.3 / The Integral test and Estimates of sums / 3,5,7,11,12,15,17,19,21,27,29,33,34,35,38
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 / 1,3,5,7,11,15,17,19,25,27,32,33,36
33 / 11.6 / Absolute convergence and the Ratio and Root test / 1,3,7,11,13,17,19,21,26,28,30,31,33,35,37,38
34 / 11.7 / Strategy for testing series / 1-37(ODD)
35 / 11.8 / Power series / 1,3,5,7,13,14,17,19,23,25,27,29,30,37
Exam 4 (November 25)
36 / 11.9 / Representation of functions as power series / 3,5,8,11,13,15,17,23,25,27,31,34,37,39
37 / 11.10 / Taylor and Maclaurin series / 5,7,14,15,19,23,27,33,35,39,45,49,57,59,63
38 / 11.11 / Application of Taylor polynomials (*) / 13a,21a,25,31
22 / 10.1 / Curves defined by parametric equations / 4,7,9,13,15,17,21,24,28
23 / 10.2 / Calculus with parametric curves / 1,5,11,15,17,23,29,39,41,58,61
24 / 10.3 / Polar coordinates / 1,3,6,11,17,20,25,26,33,37,39,46,47,55,60,61,64
25 / 10.4 / Areas and lengths in polar coordinates / 1,5,7,10,19,26,29,33,38,41,47
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: Thursday,December 11
Time: 6:00pm-8:00pm

Math Presentation

You will be required to do a 5-10 minute group presentation for the class and here are the guidelines.

1) The presentation will consist of groups of two students.

2)Identify a particular topic that you would like to address in class, for instance, the topics can be techniques of integration, surface area, volume, sequences…etc. Otherwise, a problem will be assigned to your group by the instructor.

3) During the presentation, you need to

a) Solve the problem related to the chosen topic

b) Explain what made this problem difficult/easy and highlight the important

elements required in solving this problem.

c)What recommendations would you like to share with your classmates?

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 dayand 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.
  • Priority: Do Not leave things at the last minute. DO your homework as soon as it is assigned.
  • 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!!!!!