fall 2019 math 3b – calculus ii (class code 47337 class ... · quiz 1 - ch 7 quiz 2 - ch 6 &...

Fall 2019 Math 3B – Calculus II (Class Code 47337)

Class Hours & Location: MW 10:00am – 12:15pm, Rm 21, BCC Auditorium

Instructor: Kelly Pernell Office: Rm 353 BCC Email: [email protected]

Office Hours: Monday - Thursday 9 – 10am, Thursday 1:30 - 2:30pm

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, 8th Edition by James Stewart Brooks/Cole Publishing ISBN 978-1-285-74155-0

Chapters 6 – 11 will be covered. Please see the calendar of topics at the end of this syllabus for the specific sections covered in the course.

Previous editions of the above text are fine to use as a reading/study/learning tool, just make sure the title of the book includes "Early Transcendentals" because, throughout the course, we will work on examples that involve trigonometric, exponential, and logarithmic functions. Desk copies of the 8th edition text are available from the campus Library and Learning Resources Center on the first floor.

Mobile graphing calculators are strongly recommended. Access to a non-graphing scientific calculator that can do trigonometric and logarithmic calculations is required for some problems.

For homework assignments and the development of your portfolios, you will need loose college-ruled notebook paper and a total of four 2-pocket folders (1 yellow, 1 red,1 blue, and 1 green).

You are expected to bring your current portfolio to class for in-class activities. You must bring the current portfolio to participate in that portfolio's Peer Review activity. Dates for Peer Portfolio Reviews appear in the Tentative Calendar of Topics at the end of this syllabus.

You are also required to bring all of your portfolios with you to my office hours.

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Course Schedule

Each chapter is divided into sections. Approximately three sections of the textbook will be discussed per week.

To best prepare for class each week, please read the sections in the textbook that we plan to discuss for that week (in advance of class is preferred).

To be successful in this course, you should spend about 10 hours per week outside of class time, studying the material and completing assignments. Some students may need more time to do well.

Quizzes

For this class, there will be four midterm quizzes and one final quiz. Tentative dates are available in the Calendar of Topics at the end of the syllabus.

Quiz 1 - Ch 7

Quiz 2 - Ch 6 & 8

Quiz 3 - Ch 11

Quiz 4 - Ch 9 & 10

Final Quiz - Ch 6 – 11

You will be given one hour to complete each quiz. The one-hour time limit is a strict one - no exceptions.

Once you begin a quiz, you will not be permitted to leave the room for any reason (i.e. no bathroom breaks). Once you leave, you will not be allowed to continue working on the quiz.

Quizzes will include problems that appear in homework assignments and/or in-class examples.

There are NO MAKE-UP quizzes. In order to pass the class, you must take 3 of the 4 midterm quizzes, and you must take the Final Quiz.

Part of your overall course grade includes completing take-home quizzes. You will receive a take-home quiz when you submit the in-class quiz. You must turn in the take-home the very next time the class meets - no exceptions.

Completing the take-home quiz gives you the opportunity to add up to half of the points lost on the in-class quiz.

In order to pass the class, you must do all of the take-home quizzes for the course. You are permitted to do the take-home quiz of any in-class quiz you happen to miss, however your missed quiz will remain at 0%.

Your Quiz Average will include your three highest quiz scores and twice your Final quiz. In other words, I will drop the lowest quiz score, count your Final quiz twice, and then calculate the average of the five scores.

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Homework Assignments

To pass the class with an A, B, or C, you must satisfactorily complete all homework assignments.

For each section of the text we cover in this course, you will be assigned problems from the textbook to complete. You must complete the problems from the 8th edition of the textbook. Please see the end of the syllabus for the list of homework assignments.

Homework assignments are due the Wednesday after the week we cover their respective sections in class.

Please only use college-ruled notebook paper to complete your assignments, and staple all pages in the upper left corner.

On each assignment, I will provide you feedback based on the completeness, organization, and the student learning outcomes for the course that are demonstrated in the written work you submit. Please see the Homework Grade Rubric at the end of this syllabus to see how each section's homework grade is computed.

To develop your portfolios, please save ALL of your homework assignments into the 2-pocket folders as described in the Portfolio Development section below. Please place stapled assignments, in order, into the two pockets.

Please practice your mathematics writing skills. In order to succeed on quizzes for this course, and in future math and science courses, it is critical to know how to express yourself mathematically. In addition to accurate calculation, representation, analysis, and communication are important to your future success.

Portfolio Development & Peer Portfolio Review Sessions

Using 2-pocket folders, you will develop a total of four portfolios for the course:

Portfolio 1 - Ch 7 (Yellow) Homework assignments for Ch 5 & 7 Trigonometry Assessment Trigonometry Self Assessment

Portfolio 2 - Ch 6 & 8 (Red) Homework assignments for Chapter 6 Homework assignments for Chapter 8

Portfolio 3 - Ch 11 (Blue) Homework assignments for Chapter 11

Portfolio 4 - Ch 9 & 10 (Green) Homework assignments for Chapter 9 Homework assignments for Chapter 10

As mentioned in the Homework section above, please save all homework assignments into its respective portfolio.

During the class period before each quiz day, we will hold a Peer Portfolio Review session. However complete or incomplete your own portfolio is, please bring it

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with you to class on these Peer Review days because you will not be able to participate in the Peer Review session without your own portfolio to share.

Part of your overall course grade includes your satisfactory participation in Peer Portfolio Review sessions. You will not be able to make up a Peer Review, so please do not miss class, and do not forget to bring your portfolios.

In a Peer Portfolio Review session, you will evaluate/score the portfolio of one other student in the class. I will provide you with a Peer Portfolio form to complete. It is essentially the same form as the Homework Grade Rubric form at the end of this syllabus, yet it contains additional columns, one for each section Homework assignment included in the portfolio. You will also complete a summary cover sheet and calculate an overall score and letter grade for the student's portfolio.

At the end of the session, you will return the portfolio to the student and submit the Peer Portfolio form to me. You may briefly share your Peer Review form with the student whose portfolio you evaluated. However, please make sure to submit the portfolio form to me before the end of class so you may receive credit for participating in a Peer Portfolio Review.

Student evaluations of any of your portfolios do not comprise (make up) your portfolio grades for the course. As I collect your homework assignments, I will grade them and record your section Homework grades into my own Instructor Portfolio Form.

As you complete homework assignments each week, I encourage you to track your portfolio grade progress by recording the individual grades you receive for each section homework assignment.

On Quiz days, you will submit your portfolio to me for final review and grading. This will be your opportunity to improve your individual section Homework grades, and therefore, your Total Portfolio Grade.

Please highlight or state which sections, if any, you are a resubmitting for improvement:

Write "Resubmit" on the first page of a Homework assignment.

Attach extra notebook paper at the back of the original assignment, with "New Submission" at the top of the extra pages.

Your Total Portfolio Score (points) will be the sum of all 4 portfolio scores.

Your Total Portfolio Grade (A, B, C, or D) will be determined using these ranges:

A: 470 - 525, B: 350 - 469, C: 175 - 349, D: 87 - 174, F: 0 - 86

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Required Office Visits

Over the course of the semester, you will need to stop by my office (Room 353) two separate times to have a quick conference with me. Please bring ALL of your portfolios to date when you come for a conference with me. The two conferences will give us the opportunity to discuss your progress in the class as well as opportunities for greater success. Please see the Calendar of Topics at the end of the syllabus for when I will begin schedulijng conferences with students in the class.

Cheating Policy

Cheating is a very serious offense that I will not tolerate.

If you are caught cheating on a quiz, you will receive a grade of 0% for that quiz. For quizzes, cheating offenses include, but are not limited to, looking at another student's quiz, using your phone or other electronic device, using prohibited notes during the quiz, and talking to another student during the quiz.

If you are caught copying the self-review of a quiz, you will not receive credit for that self-review.

If you are caught copying homework assignments from another student, you will not receive credit for that assignment (i.e. a total of 0 points for that assignment.)

To avoid a cheating claim on homework assignments and quiz self-reviews, please write up your own solutions to problems. It is fine to work together and discuss solutions with your classmates, but please write your solutions in your own words, and most importantly, on your own.

Both, or all, parties involved in a cheating incident for a quiz, self-review, or homework assignment will be charged (both cheater and cheatee).

No one caught or involved in a cheating incident will earn an A in the course.

Grading Policy We will use a grading system in this course that maximizes your ability to grow as a critical thinker and mathematician while minimizing the stress of earning a letter grade based on a few high stakes exams. Below, you will see in the contracts for an A, B, or C grade that your overall course grade is mostly dependent on the amount of effort you put into this class, the amount of work you complete, and the level of participation you have in attending class and completing review activities. While your overall course grade does depend on your quiz assessments, you will have an opportunity to improve your quiz scores through the self-reviews.

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How to Earn an A You will earn an A in this class if you:

1. Attend class and actively engage in class activities, missing no more than 3 classes over the course of the semester.

2. Satisfactorily complete all Homework assignments in each portfolio (satisfactory completion of a homework assignment = student completes at least 75% of all problems in the assignment).

3. Earn a Total Portfolio Grade of A or B (350 - 525 point range)

4. Participate in all Peer Portfolio Revew sessions.

5. Take 3 of 4 quizzes and the Final Quiz, and earn a Quiz Average of: 87% or higher.

6. Satisfactorily complete all take-home quizzes.

7. Attend both required office hour conference sessions.

How to Earn a B You will earn a B in this class if you:



3. Earn a Total Portfolio Grade of A, B, or C (175 - 525 point range)

4. Participate in all Peer Portfolio Revew sessions.

5. Take 3 of 4 quizzes and the Final Quiz, and earn a Quiz Average of:

a) 87% or higher if Total Portfolio Grade = C (175 - 349 point range)

b) 80 - 86% if Total Portfolio Grade = B (350 - 469 point range)

c) 70 - 80% if Total Portfolio Grade = A (470 - 525 point range)


7. Attend both required office hour conference sessions.

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How to Earn a C You will earn a C in this class if you:



3. Earn a Total Portfolio Grade of A, B, or C (175 - 525 point range)

4. Participate in at least 3 of the 4 Peer Portfolio Revew sessions.

5. Take 3 of 4 quizzes and the Final Quiz, and earn a Quiz Average of:

a) 70 - 79% if Total Portfolio Grade = C (175 - 349 point range)

b) 60 - 69% if Total Portfolio Grade = B (350 - 469 point range)

c) 50 - 59% if Total Portfolio Grade = A (470 - 525 point range)


7. Attend at least one of the two required office hour conference sessions.

Attendance Policy

Coming to class regularly, reading/studying the material, and practicing problems is vital to your success in mathematics. It is not a subject that you can study sporadically.

To pass the class, you must attend class regularly, on time, and participate in class discussions and various other activities. The above absence limits for A, B, and C grades are strict ones.

Missing 4 classes in this course means you will have missed more than 12% of the course. Missing 6 classes means you will have missed 20% of the course.

Therefore, without a special one-on-one conference with me to discuss your progress on other assignments, you will be dropped from the course or receive a grade of D or F. If you reach 6 absences before the last day to drop classes with a W (November 15, 2019), I will drop you from the course. After this date, you will receive a grade of D or F.

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Learning Resources

Tutoring is available in BCC’s Learning Resources Center. The LRC is located on the first floor in room 112.

My faculty web site also contains a few online resources, sample problems, and lecture notes that may be helpful to you.

You will find practice problems on my faculty web site at http://www.berkeleycitycollege.edu/wp/kpernell/.

Solutions can be found on the last page of each practice problem set. You are not required to write up solutions to the practice exercises. They are not included as part of your Homework grade. However, quizzes will consist of problems very similar to what you find in homework assignments and these exercise sets. To best prepare for quizzes, it is best to try many problems.

Please come to my office hours if you have specific questions that cannot 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.

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Tentative Calendar of Topics

Wk 1 – Aug 19, 21 5.3 Fundamental Theorem of Calculus (Review) 5.5 The Substitution Rule (Review)

Wk 2 – Aug 26, 28 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution

Wk 3 – Sep 4 Labor Day Holiday September 2nd - No Class 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration

Wk 4 – Sep 9, 11 7.6 Integration Using Tables 7.7 Approximate Integration 7.8 Improper Integrals

Wk 5 – Sep 16, 18 Ch 7 Peer Portfolio Review (Monday) 6.1 Area Between Curves 6.2 Volumes Quiz Ch 7 (Wednesday) Begin Required Office Hours

Wk 6 – Sep 23, 25 6.3 Volumes by Cylindrical Shells 6.4 Work 6.5 Average Value of a Function

Wk 7 – Sep 30, Oct 2 8.1 Arc Length 8.2 Area of a Surface of Revolution 8.3 Applications to Physics and Engineering Wk 8 – Oct 7, 9 Ch 6 & 8 Peer Portfolio Review (Monday) 11.1 Sequences 11.2 Series Quiz Ch 6 & 8 (Wednesday)

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Wk 9 – Oct 14, 16 11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests 11.5 Alternating Series Begin 2nd Round of Required Office Hours

Wk 10 – Oct 21, 23 11.6 Absolute Convergences and the Ratio and Root Tests 11.7 Strategy for Testing Series Wk 11 – Oct 28, 30 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series

Wk 12 – Nov 4, 6 Ch 11 Peer Portfolio Review (Monday) 9.1 Modeling with Differential Equations 9.2 Direction Fields and Euler’s Method Quiz Ch 11 (Wednesday)

Wk 13 – Nov 13 Monday, November 11th, Veterans' Day Holiday - No Class 9.3 Separable Equations 9.5 Linear Equations

Wk 14 – Nov 18, 20 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates

Wk 15 – Nov 25, 27 10.4 Areas and Lengths in Polar Coordinates 10.5 Conic Sections 10.6 Conic Sections and Polar Coordinates Ch 9 & 10 Peer Portfolio Review (Wednesday)

Wk 16 – Dec 2, 4 Quiz Ch 9 & 10 (Monday December 2nd) Final Quiz (Wednesday December 4th)

Wk 17 – Dec 9, 2019 10am - 12:15pm (Finals Week, No Classes Meet) Final Quiz Bonus Round

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Math 3B Calculus II Homework Assignments

Chapter 7 Portfolio

Section 5.5 The Substitution Rule (12 problems) 1, 4, 9, 13, 25, 40, 44, 49, 60, 67, 85, 87

Section 7.1 Integration by Parts (8 problems) 2, 3, 6, 10, 27, 28, 38, 68

Section 7.2 Trigonometric Integrals (6 problems) 1, 6, 11, 22, 23, 43

Section 7.3 Trigonometric Substitution (7 problems) 1, 5, 9, 14, 19, 21, 27

Section 7.4 Integration of Rational Functions by Partial Fractions (8 problems) 2, 5, 11, 19, 31, 42, 53, 57

Section 7.5 Strategy for Integration (8 problems) 7, 8, 11, 21, 22, 46, 74, 79

Section 7.6 Integration Using Tables (5 problems) 1, 8, 12, 24, 29

Section 7.7 Approximation Integration (5 problems) 1, 3, 10, 20, 27

Section 7.8 Improper Integrals (5 problems) 1, 5, 13, 22, 31

Chapters 6 & 8 Portfolio Section 6.1 Areas Between Curves (7 problems) 4, 8, 18, 24, 27, 50, 53

Section 6.2 Volumes (7 problems) 1, 9, 12, 13, 17, 45, 63

Section 6.3 Volumes by Cylindrical Shells (8 problems) 4, 9, 13, 20, 21, 25, 29, 42

Section 6.4 Work (8 problems) 1, 3, 5, 8, 9, 18, 24, 34

Section 6.5 Average Value of a Function (5 problems) 2, 7, 10, 15, 17

Section 8.1 Arc Length (6 problems) 5, 11, 15, 21, 39, 41

Section 8.2 Area of a Surface of Revolution (5 problems) 3, 7, 12, 15, 27

Section 8.3 Applications to Physics and Engineering (8 problems) 1, 3, 4, 6, 21, 31, 34, 44

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Chapter 11 Portfolio

Section 11.1 Sequences (7 problems) 2, 5, 12, 29, 45, 53, 71

Section 11.2 Series (11 problems) 1, 8, 9, 16, 21, 23, 24, 29, 36, 52, 69

Section 11.3 The Integral Test and Estimates of Sums (7 problems) 1, 5, 8, 9, 14, 23, 39

Section 11.4 The Comparison Tests (7 problems) 5, 7, 9, 10, 14, 18, 26

Section 11.5 Alternating Series (5 problems) 9, 16, 18, 23, 32

Section 11.6 Absolute Convergence and the Ratio & Root Tests (7 problems) 3, 5, 10, 16, 26, 35, 43

Section 11.7 Strategy for Testing Series (7 problems) 5, 8, 10, 11, 16, 37, 38

Section 11.8 Power Series (8 problems) 5, 12, 14, 18, 19, 22, 37, 41

Section 11.9 Representation of Functions as Power Series (7 problems) 4, 7, 11, 13, 16, 26, 39

Section 11.10 Taylor and Maclaurin Series (9 problems) 3, 8, 9, 22, 35, 40, 54, 57, 58

Section 11.11 Applications of Taylor Polynomials (6 problems) 3, 7, 9, 15, 21, 21

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Chapters 9 & 10 Portfolio

Section 9.1 Modeling with Differential Equations (5 problems) 1, 3, 8(a,b,d), 13, 14

Section 9.2 Direction Fields and Euler's Method (4 problems) 3, 19(a, c), 23, 24

Section 9.3 Separable Equations (9 problems) 1, 7, 11, 16, 20, 40, 43, 45, 48

Section 9.4 Models for Population Growth (2 problems) 1, 18

Section 9.5 Linear Equations (7 problems) 6, 9, 13, 18, 19, 26, 27

Section 10.1 Curves Defined by Parametric Equations (5 problems) 2, 5, 12, 16, 45

Section 10.2 Calculus with Parametric Equations (8 problems) 1, 5, 7, 12, 13, 17, 41, 61

Section 10.3 Polar Coordinates (10 problems) 1, 6, 11, 17, 25, 28, 31, 47, 56, 61

Section 10.4 Areas and Lengths in Polar Coordinates (5 problems) 3, 6, 15, 27, 48

Section 10.5 Conic Sections (8 problems) 1, 6, 11, 17, 22, 29, 40, 45

Section 10.6 Conic Sections in Polar Coordinates (5 problems) 1, 3, 7, 9, 14

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Student Portfolio___________________________ Homework Section _____

Reviewed by INSTRUCTOR

Student Outcomes Assessment Grade

For each section, student attempted to complete ___ of ___ problems in the section.Check the box if the student completed less than 75% of the problems in the section.If you check the box in a section, then you may only give 1 - 2 pts for every category in that section. Student cannot receive a max score of 3pts

Communication: Is the written work of the section organized? Is the work clear and easily understood? Is there enough (adequate) work shown in the problems to demonstrate the student's understanding and effort?1 = In general, not really organized, written work not really clear or there isn't enough work shown on many problems. Automatic 1: Less than 75% of the section was completed.2 = In general, written work/calculations are satisfactorily organized, most problems are generally clear to understand steps, and there is adequate work shown on the problems.3 = All or most problems are well organized; work is very clear, and all steps included.

Representation: How well does the student represent relevant information in various mathematical or algorithmic forms? Do they draw properly labeled diagrams and graphs of functions as needed? Do they correctly set up equations?1 = In general, needs help setting up problems or does not correctly draw graphs/diagrams. Automatic 1: Less than 75% of the section was completed.2 = In general, satisfactory use of diagrams and setup of equations3 = In general, excellent diagrams and problem setups

Interpretation: In general, does the student understand how to approach solving the problems? Does their written work show they correctly read and interpret graphs, equations, and expressions in solving problems? Do they demonstrate correct classification of functions and algebraic expressions? 1 = needs help interpreting facts and how to to approach problems; Automatic 1: Less than 75% of the section was completed.2 = satisfactory interpretation/approach to most problems3 = excellent interpretation of the problems

Completion of Work

Evaluation of Written Work

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Student Portfolio___________________________ Homework Section _____

Reviewed by INSTRUCTOR

Application/Analysis: Does the student draw appropriate conclusions based on the quantitative analysis of data, while recognizing the limits of this analysis. Does the student show knowledge of how to or what to answer for most problems?1 = needs help starting and/or finishing many application problems, has trouble making correct conclusions, and many times needs helping identifying what answer to provide. Automatic 1: Less than 75% of the section was completed.2 = satisfactory analysis application problems; student in general shows knowledge of how to or what to answer. 3 = Excellent problem solving skills; comprehensive analysis of most application problems; most problems show the correct response.

Calculation: Does the written work show correct manipulation and simplification of algebraic and transcendental expressions? Does the written work show correct and accurate calculations? Are the answers correct?1 = needs help simplifying algebraic expressions; needs help solving equations;incorrect calculations on many problems; Automatic 1: Less than 75% of the section was completed.2 = many problems show correct algebraic simplifications/manipulations. The student correctly classifies and solves many of the equations in the section.3 = Written work contains accurate and comprehensive calculations to all/most problems. Excellent algebra skills.

Suggest ways for student to improve score, especially in areas where you gave a score of 1 point. (or state why you gave 1 point.)State where they did very well.

Total Score for the Section:

Overall Comments

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fall 2019 math 3b – calculus ii (class code 47337 class ... · quiz 1 - ch 7 quiz 2 - ch 6 &...

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