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Calculus II Math 1B Course #41855

Syllabus, Spring 2020 Instructor: Veasna Chiek e-mail: veasna.chiek@rcc.edu Office: MTSC 119 Phone: 951.222.8328 Website: http://websites.rcc.edu/chiek Office/Student Hours: Mon & Wed 10:05am – 11:35am, Tue and Thu 10:05am – 10:35am, Fri 10:05 – 11:05 (Virtual) Class Meeting Times Mon & Wed 8-10:05am in MTSC 107 and Fri 8-8:50am in MTSC 107 COURSE DESCRIPTION Prerequisite(s): MAT 1A: Calculus I Techniques of integration, applications of integration, improper integrals, infinite sequences and series, parametric equations, polar coordinates, and conic sections. 72 hours lecture and 18 hours laboratory. STUDENT LEARNING OUTCOMES Upon successful completion of the course, students should be able to: 1. Employ the basic concepts of convergence and divergence of infinite sequences and series. 2. Derive Taylor Series and approximate polynomials of analytic functions. 3. Graph, differentiate, and integrate functions in polar and parametric form. 4. Evaluate definite, indefinite, and improper integrals using techniques of integration. 5. Solve applications of integration problems, including those involving area, volume, work, arc length and force. For more detail about the course go to: https://rccd.curricunet.com/Report/GetReport?entityId=6385&entityType=Course&reportId=97

REQUIRED TEXTBOOK AND MATERIALS 1. Single Variable Calculus Early Transcendental by Stewart 8th edition or E-book (bring this to class every day) 2. Scientific Calculator (no graphing calculators).

IMPORTANT DATES

Last Day to Add 2/29 Las Day to Drop with Refund 2/29

Last Day to Drop without a “W” 3/8 Last Day to Drop with a “W” 5/9

Class Not in Session 3/31, 4/13-4/17, 5/25 Final Exam Date, Time and Room Wed 6/10 8-10:30am in MTSC 107

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Grading Your grade will be based on Homework, Group Work, Labs, Midterms and a Final Exam.

Grade Break Down Percentage of Grade Grading Scale Letter Grade Homework 10% 90-100% A Group Work 5% 80-89% B Labs 5% 70-79% C Midterms 55% 60-69% D Final Exam 25% Below 60% F

Homework Homework will be assigned daily and due the following class period. If an assignment takes more than one sheet of paper, you are to staple it together. All homework must have the proper heading to receive any credit (see below). In addition, instructions and problems are to be written out before you begin the actual work. You should still write out the problems that you do not know how to do, but leave space so you can go back and fill it in. Focus your efforts on doing homework well and it will pay off in the future.

Prerequisite Exam You may be given a prerequisite exam during the first week of class. It will cover material that you probably have seen before. The exam will not impact your grade directly, its sole purpose is for me to have a better understanding of my students so I can help you all as much as possible. Group Work Group work may consist of worksheets, warm ups, quizzes, and presentations. Try your best to come to class on time and be an active participant. Labs Lab assignments will be given in lab and due at the end of lab. Most lab assignments will require the usage of Mathematica. Mathematica is a Computer Algebra System that will enrich your learning. Midterms and Final Exam There will be Midterms and a Final Exam scheduled throughout the semester. A student who misses any Midterms may be dropped from the class and all students who wish to receive a passing grade must take the Final Exam. I do not drop the lowest Midterm score. However, I may replace a low midterm score with your final exam score if your final exam score is 70% or higher.

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Classroom Policies Attendance, classroom participation and homework are expected at every class meeting. It is very important for students to attend, engage and do homework on a regular basis. Please bring you required materials to class on a daily basis. Attendance will be taken daily and any student who misses more than 6 hours of lecture prior to the last day to drop date may be dropped from the course. However, do not rely on the instructor to drop you from the course. If you choose to drop the class, it is your responsibility to complete the appropriate procedures. If an issue shall arise, then please feel free to contact me. Do not wait till after the fact. Moreover, a person that is not enrolled in the course is not allowed in the classroom during the class period, this includes children and friends. In addition, please keep food and drinks outside the classroom. Students are expected to observe The Standards of Student Conduct as listed in the Student Handbook. In addition, any student who causes a distracting in class may be asked to leave. Thus, use common sense and be respectful. If you have a documented physical disability or learning disability requiring accommodation for this class, please contact the office of Disability Resource Center (DRC) at (951) 222-8060 located in CAK 130. Plagiarism and Cheating Plagiarism is a form of cheating. Make sure that your work is original. Any time you use someone else’s work and do not give that person credit, it is plagiarism. If you are “suspected” of plagiarism, you will bear the burden of proof. You must be able to present rough drafts or related materials and discuss the topic intelligently. This is important because I must be able to gauge what you have learned. Copying the work of another person, whether homework problems or answers during a test, is considered plagiarism. Copying the work of another person, even though some cultures consider this sharing work, is considered plagiarism at RCC, an act of academic dishonesty. The administrative officer will make note of the offense in the student’s educational records. A second instance of academic dishonesty may result in expulsion proceedings. Any tuition and applicable fees will not be refunded as a result of disciplinary action for academic misconduct.” In other words, “Just don’t do it!” Communication in Class I will communicate with you outside of class through an app called Remind and sometimes email. Thus, text @m1bspr19 to 81010 or 951.643.4181 to be on my text list. You can also download the remind app, select “Join a Class” and enter the class code m1bspr19 and instead of getting a text, you’ll receive push notifications through the app. Moreover, I encourage you to ask questions in class. If a certain topic or problem is not clear, then raise your hand and ask a question. If you need additional help with math, go to the Math Learning Center in MLK 307/308. It is open Monday – Thursday from 9 – 6pm and Saturday 9-12pm. They can also be reached at 951-222-8000 ext. 4100. Finally, please note that as the course develops, I reserve the right to modify the syllabus!

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Math 1B Spring 2020 Tentative Teaching and Testing Schedule # Due Date Sec. Topics Exercises Score

1 5.3 The Fundamental Theorem of Calculus 2,8,11,17,22,29,35,43,55,62,63,68,69

2 5.4 Indefinite integrals and the Net Change Theorem 2,10,12,16,18,27,35,38,40,46,60,61

3 5.5 The substitution rule 7,10,11,17,21,23,40,42,48,60,65,70,88,89 4 7.1 Integration by parts 3,7,10,12,16,21,27,32,36,38,40,42,57,58 5 7.2 Trigonometric integrals 3,6,10,14,17,20,23,26,31,33,36,40,44,48 6 7.3 Trigonometric substitution 4,7,12,16,19,23,26,30

7 7.4 Integration of rational functions by partial fractions 12,16,20,34,40,47

8 7.5 Strategy for integration 1,7,14,22,31,32,39,45,52,57,65,67,74,80 9 7.8 Improper integrals 1,9,10,13,16,21,24,26,29,33,36,40,50,52,54 Midterm 1 10 7.6 Integration using tables 3,7,9,11,14,17,20,24,26,30 11 7.7 Approximate integration 10,11,15,18 12 6.1 Area between curves 1,4,11,12,19,25,26,29,31,50,53 & Sec 7.1 #57,58 13 6.2 Volumes 1,6,9,13,15,18,21,25,28,42,48,54,55 14 6.3 Volumes by cylindrical shells 2,4-6,9,10,12,13,15,16,18,19,25,31,38,42 & Sec 7.1 #61-64 15 6.4 Work 3,5,7,9,13,15,21,22,23 16 6.5 Average value of a function 1,3,6,9,13,15,21,22,23 17 8.1 Arc length 2,7,10,13,16,17 18 8.2 Area of a surface of revolution 5,7,9,12,14,15,16,26,28

19 8.3 Application to physics and engineering Part I 3-11,14,15

20 8.3 Application to physics and engineering Part II 21,24,25,27,29,31

21 9.3 Separable Equations 3,8,10,11,15-18,20,21 Midterm 2

22 10.1 Curves defined by parametric equations 4,7,9,13,15,17,20,22

23 10.2 Calculus with parametric curves 2,4,6,8,14,16,25,29,31,33,34,37,39,41,44,48,61,63,66 24 10.3 Polar coordinates 30,32,33,36,38,40,42,46,56-64even

25 10.4 Areas and lengths in polar coordinates 2-12even, 18-42even, 46,48

Midterm 3 (Mini Exam) 26 11.1 Sequences 4-52eoe, 72-79 (eoe = every other even) 27 11.2 Series 6,8,15,18-48even, 52

28 11.3 The Integral test and Estimates of sums 4-32even

29 11.4 The Comparison tests 4-32even 30 11.5 Alternating series 2-20,34

31 11.6 Absolute convergence and the Ratio and Root test 2-38even, 43

32 11.7 Strategy for testing series 2-38even 33 11.8 Power series 2-28even

34 11.9 Representation of functions as power series 4,6,8,12,16,18,20,26,28

35 11.10 Taylor and Maclaurin series 5,8,12,16,22,32,36-42even, 43,56,61-65,74-80even

36 11.11 Application of Taylor polynomials TBD

Midterm 4 Final Exam