MATH 213-01 Calculus II
Syllabus for Fall 2015

Mon, Tues, Thurs, & Fri, 11:00 – 11:50am

Gildemeister 226

Instructor: Dr. Eric Errthum              Winona Email Username: eerrthum             Office: 205 Gildemeister Hall            Office Hours:  See homepage. Or by appointment on any day.

Text:         Calculus: Early Transcendentals, James Stewart, 7th ed.

Course Website:     http://course1.winona.edu/eerrthum/math213

Prerequisite: MATH160, MATH212 or a qualifying score on the mathematics placement exam

About This Course:  This course continues to build on the ideas introduced in Calculus I. Specifically, this course covers the techniques and applications of integration, calculus with polar coordinates and parametric equations, and functions in power series form.

Expectations: Students who complete this course with a passing grade are expected to be able to demonstrate the following skills: (i) Mastery of prerequisite material, (ii) Evaluate integrals using a variety of techniques, (iii) Set-up/apply integration in the appropriate manner, (iv) Compute within various coordinate systems and geometric set-ups, (v) Determine the behavior of sequences and series, (vi) Construct and use functions as power series.

Grading:    WebAssign Homework (scaled as needed) 110 points----- 12.2%
                    PSPs (Chapters 1 – 5)                                    25 points------- 2.8%
                    Quizzes (12 @ 15 points, drop lowest)       165 points------ 18.3%
                    Midterms (4 @ 100 points)                          400 points------ 44.4%
                    Final                                                             200 points------ 22.2%
                                                                                     --------
                                                                                         900 points total

Grades:  A = 90% (810 pts), B = 80% (720 pts), C = 70% (630 pts), D = 60% (540 pts).

Homework:    Homework will be assigned daily and will be due at 11:00am on the day of the quiz that covers that material. All homework is to be submitted via the WebAssign website. At the same time, you should work out the problems in a separate notebook. Some good tips for doing homework in WebAssign can be found below. Access cards for WebAssign can only be purchased through the bookstore. You can buy access online through the website, but it will cost you about 3 times as much. The Class Key for this course is “winona 4785 2157”. Click here for more about the WebAssign Login Procedure. If you have any problems logging in or doing any of the homework assignments, please contact the instructor.

PSPs:  WebAssign contains a review section called “Personal Study Plan”. You must attain a 60%-proficiency on the Calculus I chapter quizzes (Chapters 1, 2, 3, 4 and 5) by the beginning of the second week of class. Each chapter quiz will be worth 5 points. Chapters 6 and above are extra credit (each worth 5 additional points) and can be used as a way to test yourself in the material we are learning in this course. NOTE: At times in the past, WebAssign has “lost” a submitted PSP response. You are encouraged to save a copy of your work (either via screenshots or printouts) before clicking the submit button. This only appears to happen in PSPs, not in regular homework.

Quizzes:          We will have a short (approx. 15-minute) quiz periodically (about once a week, see schedule below). Each quiz will count for 15 points and the lowest quiz will be dropped from your grade. Quiz problems will be loosely based on the homework and the “Additional Quiz Preparation” questions listed in the homework instructions.

Exams:           There will be four in-class exams and one comprehensive final exam. Exam dates are tentative until officially announced in class. The final exam is tentatively scheduled for Thursday, December 10, 8:00am – 10:00am.

Late/Missed Work: Late homework or missed quizzes will result in a score of zero. Make-up quizzes and make-up exams before the time of the normal quiz or exam will be given at the discretion of the instructor. If you miss class, it is your responsibility to obtain notes and assignments from fellow students. If you have an unavoidable absence, please inform the instructor beforehand.

Desire2Learn:            Many course materials can be found on D2L including solutions to quizzes and exams and approximate grades. If at any point during the semester you would like to know your exact grade, please email the instructor.

Technology:   No calculators will be allowed on any quiz or exam until after Exam I and then only when specifically mentioned. Calculators and other computational software might be helpful for some homework problems. Some of the in-class demonstrations require Mathematica, which is available on the WSU laptops. If you’d like to view them on your own laptop and need help installing Mathematica, see either the instructor or tech support.

Resources:      The Mathematics Achievement Center (MAC) is located in 313 Tau Center on West Campus and offers free tutoring. More information available at: The MAC Website.

Academic Dishonesty:  Any type of academic dishonesty (cheating, copying, etc.) will result in failure and will be reported to school authorities. If you are having trouble with an assignment, please see the instructor first.

Note:   This syllabus is subject to change if deemed necessary by the instructor.

 

Schedule of Events – Math 213

(as of 8/18/15, subject to change)

 

Week Beginning

Monday

Tuesday

Thursday

Friday

8/24

Introductions

Review Chapters 1 – 3

Review Chapters 4 & 5

Algebra and Calculus Review WebAssign Due

6.1
Area Between Curves

6.2
Volumes

8/31

PSPs for Chapters 1 – 5 Due

6.3
Volumes by Cylindrical Shells

Discussion Session
Quiz 6.1 – 6.3

7.1
Integration by Parts

7.2
Trig Integrals

9/7

No Class
Labor Day

7.3

Trig Substitution

Discussion Session
Quiz 7.1 - 7.3

7.4
Integration by Partial Fractions

9/14

7.5
Integration Strategies

Activity

Discussion Session
Quiz 7.4 – 7.5

Review for Exam I

EXAM I

9/21

7.6
Integration with Tables

7.7
Approximate Integration

7.8

Improper Integrals

Discussion Session
Quiz 7.6 – 7.8

9/28

11.1
Sequences

11.1, cont.

11.2
Series

11.2, cont.

Discussion Session
Quiz 11.1 – 11.2

10/5

11.3
Integral Test and Sum Estimates

11.4
Comparison Tests

Discussion Session
Quiz 11.3 – 11.4

Review for Exam II

10/12

EXAM II

No Class
Assessment Day

11.5
Alternating Series
11.6

Conditional vs. Absolute Convergence

11.6, cont.
Ratio and Root Tests

10/19

11.7
Strategies for Testing Series Activity

Discussion Session
Quiz 11.5 – 11.7

11.8
Power Series

11.9
Functions as Power Series

10/26

Discussion Session
Quiz 11.8 – 11.9

11.10
Taylor and MacLaurin Series, cont.

11.10
Taylor and MacLaurin Series

11.11
Applications of Taylor Polynomials

11/2

Discussion Session
Quiz 11.10 – 11.11

Review for Exam III

EXAM III

6.4
Work

11/9

8.3 & 8.4
Applications of Integration

Applications of Integration Activity

Discussion Session
Quiz 6.4, 8.3 – 8.4

8.1
Arc Length

11/16

8.2
Area of a Surface of Revolution

10.1 & 10.2
Parametric Curves

Derivatives of Parametric Curves

Discussion Session
Quiz 8.1, 8.2, 10.1, 10.2 (first part)

10.2, cont.
Calculus on Parametric Curves

11/23

10.3
Polar Coordinates

10.4
Area and Length in Polar Coordinates

No Class
Thanksgiving Break

11/30

Discussion Session
Quiz 10.2 (second part) – 10.4

Review for Exam IV

EXAM IV

Final Review

 

Final Exam

Thursday, December 10

8:00am – 10:00am

 

 

Welcome to college math!

 

If this is your first math class taken in college, there are some important things you need to know. College math classes are run very differently from high school math classes. On the surface it may seem they are similar as you listen to the lecture and take notes, but there are significant underlying differences. Knowing these ahead of time can help you make the most of this coming semester.

 

#1: College math classes generally stay on the schedule in the syllabus. If there is one day allotted to the topic that is probably all of the class time that will be spent on it, even if “most” of the students “don’t get it.”

 

#2: It is expected that you will read the text and do the problems in order to learn the material, even if no one checks up on you. The instructor might never collect the homework, but that doesn’t mean it doesn’t affect your grade.

 

#3: You will sometimes be responsible for material in the textbook that is not covered in class. If there is a text reading and/or homework problems covering a concept that was not discussed in class, you are still expected to learn it. If you don’t understand it, make an appointment with your instructor for help.

 

#4: Some material is covered only in class, is not in the textbook, and may not have any homework problems on it. If you miss class, you may miss content that you are responsible to know. If you have an unavoidable absence, be sure to get the notes and any announcements from a classmate.

 

#5: There will be test questions that don’t look “just like the homework.” In college, you are expected to focus on learning the concepts, not just memorizing how to do certain types of problems. These concepts can – and will – appear in very different forms on tests and quizzes.

 

#6: At times you will be expected to be able to explain why a problem is done a certain way in addition to being expected to do the problem. As you work on problems in class and on homework, don’t be satisfied with getting the correct answer; ask yourself why that method is logical, and how you could explain that logic to someone else.

 

#7: Most importantly, you are responsible for your own learning. If you attend class faithfully, get the notes and announcements if you have an unavoidable absence, read the text, do the homework and question yourself (as in #6), and still don’t understand something, it is up to you to get the extra help you need. Visit the instructor during office hours or make a special appointment to ask questions, form a study group, etc. There are many resources and people willing and happy to help, but you need to take the initiative and seek out the help you need.

 

Good luck on a happy and successful semester!

 

 

WebAssign Tips

 

#1: Use the Mozilla Firefox browser. The flash applications in WebAssign cause Microsoft Internet Explorer to lock up, thus losing all of your work from that session. If you need help installing Firefox, click here or contact the instructor.

 

#2: Do not try to sit down at a computer and just do your homework on Webassign. Print off the problems and work through them in a notebook first. When you have completed the assignment on paper, then go back and enter your answers into WebAssign. This way you will have a good paper record to study from, to examine for errors if WebAssign marks something incorrect, and to show to a tutor or the instructor when getting help.

 

#3: Do not wait until the night before the assignment (or collection of assignments) is due to do it. If you lose your internet connection or experience technical problems, you will not be able to hand in the assignment on time. Some WebAssigns are short (3 – 4 problems) and some can be quite long (11 – 12 problems). Make sure you leave yourself enough time to take full advantage of the multiple attempts.

 

#4: WebAssign will only accept the 100% correct answer. So you will not likely be able to guess the answer. At the same time, if you have almost the right answer, but you’re missing something small like a minus sign, WebAssign will still mark it incorrect without any hint of how close you are to the correct answer. Also, WebAssign can be very particular about how you enter an answer. For all these reasons it is important that you are careful about how you work out the problem and report the solution. This is, in general, an important lesson to learn.

 

#5: Don’t use any method on WebAssign that won’t work on an exam. For example, many questions on WebAssign will be presented as multiple-choice and you can “solve” it by checking each option. However, on a quiz or exam the same question will probably not be multiple-choice, so you need to know how to find the correct answer from scratch. If you don’t know how to do an assignment without “shortcuts”, ask a fellow student, a tutor, or the instructor.

 

#6: After the due date has passed, go back and look at the solutions for the problems you missed. (To find old assignments, look under “My Assignments” and click “Past”.) Often there will be a link to a pdf file with a detailed solution to the problem. If you still can’t understand the solution, ask a fellow student, a tutor, or the instructor to help you.

 

 

Commitment to Inclusive Excellence

WSU recognizes that our individual differences can deepen our understanding of one another and the world around us, rather than divide us. In this class, people of all ethnicities, genders and gender identities, religions, ages, sexual orientations, disabilities, socioeconomic backgrounds, regions, and nationalities are strongly encouraged to share their rich array of perspectives and experiences.  If you feel your differences may in some way isolate you from WSU’s community or if you have a need of any specific accommodations, please speak with the instructor early in the semester about your concerns and what we can do together to help you become an active and engaged member of our class and community. 

Campus Resources

Details about Campus Resources

 

The Standard Disclaimer applies.

 

© Eric Errthum, August 2015, all rights reserved.