Fall 2018 Math 3B Calculus II (Class Code 40135) Instructor: Kelly Pernell Office: Rm 353 BCC

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Fall 2018 Math 3B Calculus II (Class Code 40135) Class Hours & Location: TuTh 10:00am 12:15pm, Rm 52, BCC Instructor: Kelly Pernell Office: Rm 353 BCC Email: kpernell@peralta.edu Office Hours: MW 2 3:30pm, TTh 9 9:55am, Rm 353 Instructor Web Site for additional class info: http://www.berkeleycitycollege.edu/wp/kpernell Textbook and Required Materials The textbook used to present the course material is: Calculus, Early Transcendentals, 8 th Edition by James Stewart Brooks/Cole Publishing ISBN 978-1-285-74155-0 Chapters 6 11 will be covered. Mobile graphing calculators are strongly recommended. A non-graphing scientific calculator that can do trigonometric and logarithmic calculations is required. Course Schedule Each chapter is divided into sections. Approximately two sections of the textbook will be covered per class period. Please see the Tentative Calendar of Topics at the end of the syllabus. For this class, there will be three midterm exams and one final exam. Tentative dates are available in the Calendar of Topics at the end of the syllabus. Exam 1 - Ch 7 Exam 2 - Ch 6 & 8 Exam 3 - Ch 11 Final Exam - Ch 6 11 with focus on Ch 9 & 10 To be successful in this course, you should spend 10 hours per week outside of class time, studying the material and completing exercises. Some may need more time to do well.

Grading Policy A: 90 100%; B: 80 89%; C: 70 79%; D: 60 69%; F: 0 59% Your course grade is based on exams, homework, and participation. The percentage breakdown for each component is as follows: Midterm Exams 60% Final Exam 25% Homework 15% At the end of the course I will drop your lowest midterm exam score. Exams Midterm exams are worth 60% of your course grade. They will include material and examples presented in lecture, examples from the textbook, and the exercises you are assigned in homework and for practice. The Final Exam is worth 25% of your course grade. Half of the Final Exam will focus on Ch 9 & 10; the remaining half will be comprehensive, comprising chapters 6 8 and 11. The Final Exam will take place on the Tuesday of Final Exam week during class time 10am 12:15pm. Absolutely no make-up exams will be given. At the end of the course, I will drop your lowest midterm exam score. The average of the two highest scoring midterm exams will make up your Midterm Exam grade. Everyone must take the Final Exam. Everyone is allowed to use a non-graphing scientific calculator during exams. Other electronic devices are NOT permitted. Please keep all of your exams and take the time to review your mistakes. Cheating Policy Cheating is a very serious offense that I will not tolerate. If you are caught cheating on an exam, you will receive a grade of 0% for that exam. Your overall course grade will also be lowered by 10%. Both, or all, parties involved in a cheating incident will be charged (both cheater and cheatee). No one caught or involved in a cheating incident will earn an A in the course. Students are allowed one bathroom break during an exam. If you need a second bathroom break, YOU FORFEIT THE EXAM. You will not be able to continue working on the exam.

Homework Homework is worth 15% of your course grade. You will find homework assignments on my faculty web site at http://www.berkeleycitycollege.edu/wp/kpernell/. Solutions can be found at the end of each homework assignment. In order to receive full credit on homework, you must show your work to arrive at your answers (i.e. write out your steps). If a question does not require calculation, you must explain in words (describe) how you arrived at your answer. You will be graded out of 10 points according to completeness of the assignment (2 points) as well as the following rubric that reflects the student learning outcomes for the course (8 points): 1 - Representation: Represent relevant information in various mathematical or algorithmic forms. (conversion of words to mathematical symbols, diagrams, and/or graphs) 2 - Calculation: Calculate accurately and comprehensively. 3 - Interpretation: Interpret information presented in mathematical or algorithmic forms. (for example, interpretations of equations, graphs, diagrams, tables) 4 - Application/Analysis: Draw appropriate conclusions based on the quantitative analysis of data, while recognizing the limits of this analysis.(problem solving) 5 - Communication: Explain quantitative evidence and analysis. (conversion of mathematical symbols and graphs to words) As part of your homework, you are expected to read the textbook and attend class regularly. I often provide time for students to ask questions on homework during the class break and towards the end of class. Please practice your mathematics writing skills. In order to succeed in future math courses, it is critical to know how to express yourself mathematically (representation and communication from the rubric above are key to your future success). Homework assignments are assigned by chapter. They are due on the day you take an exam for that chapter. Some exams cover two chapters. You are expected to submit the homework assignments for both chapters on that day. Please save all homework assignments in a file, folder, or binder. Never throw away any work you do for this course. Learning Resources The best way to learn the material is to regularly attend class and DO YOUR HOMEWORK. Tutoring is available in BCC s Learning Resources Center. The LRC is located on the first floor in room 112. Please come to my office hours if you have specific questions that can t be fully addressed in class.

Disability Statement Berkeley City College is committed to providing reasonable accommodations for all individuals with disabilities. This syllabus and the course materials are available in alternate formats upon request. If you have a disability that may have some impact on your work in this class and for which you may need accommodations, please see a staff member in Programs & Services for Students with Disabilities (PSSD) to request accommodations. For students that receive accommodation letters, please meet with me to discuss academic arrangements as early in the term as possible. PSSD can be found in Room 261 of the Main 2050 Center Street campus or by phone at (510) 981-2812 or 2813. Student Learning Outcomes Representation: Represent relevant information in various mathematical or algorithmic forms. Calculation: Calculate accurately and comprehensively. Interpretation: Interpret information presented in mathematical or algorithmic forms. Application/Analysis: Draw appropriate conclusions based on the quantitative analysis of data, while recognizing the limits of this analysis. Communication: Explain quantitative evidence and analysis. Justification for the Course Satisfies the General Education and Analytical Thinking requirement for Associate Degrees. Provides foundation for more advanced study in mathematics and related fields, such as physics, engineering, and computer science. Satisfies the Quantitative Reasoning component required for transfer to UC, CSUC, and some independent four-year institutions. Acceptable for credit: CSU, UC.

Tentative Calendar of Topics Wk 1 Aug 21, 23 5.3 Fundamental Theorem of Calculus (Review) 5.5 The Substitution Rule (Review) 7.1 Integration by Parts Wk 2 Aug 28, 30 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution Wk 3 Sep 4, 6 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.6 Integration Using Tables Wk 4 Sep 11, 13 7.7 Approximate Integration 7.8 Improper Integrals Review Chapter 7 Wk 5 Sep 18, 20 EXAM 1 Ch 7 - Tuesday, Sep 18th 6.1 Areas Between Curves 6.2 Volumes Wk 6 Sep 25, 27 6.3 Volumes by Cylindrical Shells 6.4 Work 6.5 Average Value of a Function Wk 7 Oct 2, 4 8.1 Arc Length 8.2 Area of a Surface of Revolution 8.3 Applications to Physics and Engineering Wk 8 Oct 9, 11 Review Chapters 6 & 8 EXAM 2 Ch 6 & 8, Thursday, Oct 11th

Wk 9 Oct 16, 18 11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests Wk 10 Oct 23 11.5 Alternating Series 11.6 Absolute Convergences and the Ratio and Root Tests Wk 11 Oct 30, Nov 1 11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series Wk 12 Nov 6, 8 11.10 Taylor and Maclaurin Series Review for Exam 3 Wk 13 Nov 13, 15 EXAM 3 Ch 11 Tuesday, Nov 13th 9.1 Modeling with Differential Equations 9.2 Direction Fields and Euler s Method Wk 14 Nov 20 9.3 Separable Equations 9.5 Linear Equations Wk 15 Nov 27, 29 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates Wk 16 Dec 4, 6 10.5 Conic Sections 10.6 Conic Sections and Polar Coordinates Review for Final Exam Wk 17 Dec 11 Finals Week No Classes Held FINAL EXAM Tuesday, December 11th, 10am 12:15pm, room 021 Auditorium