MATH 212 Calculus
I Section 01
Syllabus for Fall 2016
Mon, Tues, Thurs, & Fri, 2:00 – 2:50pm
324 Gildemeister Hall
Instructor: Dr. Eric Errthum Winona Email Username: eerrthum Office: 205 Gildemeister Hall Office Hours: See homepage. Or by appointment on any day.
Course Website: http://course1.winona.edu/eerrthum/math212
Prerequisite: MATH 120 (Pre-calculus) or a qualifying score on the mathematics placement exam
Text & Calculator: -- Calculus Volume 1 by OpenStax.com: https://openstax.org/details/calculus-volume-1
-- Single Variable Calculus: Early Transcendentals:
https://www.whitman.edu/mathematics/calculus/calculus.pdf
-- Calculus: Early Transcendentals, James Stewart (optional, any edition
5th or later will work fine)
No calculators will be allowed on any quiz or exam, but might be required for
some homework problems.
About This Course: This course is intended to provide the student with a clear understanding of the ideas of differential calculus. This course will concentrate on the symbolic, algebraic, functional computations, the meaning of those computations, and some of the applications of mathematics to real-life situations.
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) Compute limits, the derivative of any algebraically defined function, and basic antiderivatives (iii) Apply the correct calculus techniques in the appropriate situations, (iv) Understand the connections between visual and algebraic information and how calculus applies to each.
Grading: WeBWorK Homework (scaled as needed) 125 points----- 14.3%
Quizzes
(11 @ 15 points, drop lowest) 150
points------ 17.1%
Midterms (4 @ 100
points) 400
points------ 45.7%
Final 200
points------ 22.9%
--------
875
points total
Grades: A = 90% (787 pts), B = 80% (700 pts), C = 70% (612 pts), D = 60% (525 pts).
Homework: Homework will be assigned daily and will be due at 2:00pm on the day of the quiz that covers that material. All homework is to be submitted via the WeBWorK website located here: http://wsumath.org/webwork2/Math_212_Calculus_I_Errthum_01_F2016/. (Many institutions use WeBWorK; make sure you are accessing the one at Winona State.) Your (case-sensitive) username is your winona.edu username (not your Star ID) and your initial password is your 8-digit student ID number. (For example, login: eerrthum, password: 12345678). You are strongly encouraged to change your password at your first login. Even though all the homework is submitted online, you should work out the problems in a separate notebook. Some good tips for doing online homework can be found below. If you have any problems logging in or doing any of the homework assignments, please contact the instructor.
Quizzes: We will have a short quiz almost every week (see schedule below). Each quiz will count for 15 points and the lowest quiz score will be dropped from your grade.
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 scheduled for Wednesday, December 7th at 10:30AM.
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.
Resources: Tutoring Services is located in the library and provides free one-on-one tutoring. See www.winona.edu/tutoring for more info. Of course, you can also come see the instructor during office hours or by appointment.
Desire2Learn: Some course materials and approximate grades can be found on D2L. If at any point during the semester you would like to know your exact grade, please email the instructor.
Academic Dishonesty: Any type of academic dishonesty (cheating, copying, etc.) will result in failure and will be reported to school authorities. This includes access to past quizzes, exams, etc. that has not been handed out to the whole class. If you are having trouble with the course, please see the instructor first.
Note: This syllabus is subject to change if deemed necessary by the instructor.
Tentative Schedule of Events – Math 212
(as
of 9/2/16,
subject to change)
Week Starting |
Monday |
Tuesday |
Thursday |
Friday |
8/22 |
Intro and |
Review Sheet 2 |
Review in WebWork
Due Section 2.1 Preview of Calculus |
Section 2.2 Limit of a Function |
8/29 |
Section 2.3 Limit Laws |
Homework Discussion QUIZ (2.1-2.3) |
Section 2.4 Continuity |
Section 2.5 Precise Definition of Limit |
9/5 |
No Class |
Section 2.5, cont Limits at Infinity |
Speed Limit Activity |
Homework Discussion QUIZ (2.4, 2.5, 4.6) |
9/12 |
Limit Exam Review |
Exam I: Limits |
Section 3.1 Defining the Derivative |
Section 3.2 The Derivative as a Function |
9/19 |
Lecture 1 of Supplementary pdf d of Polynomials and Product Rule |
Homework Discussion QUIZ (3.1, 3.2, L1) |
Lecture 2 d of Exponential Functions and Quotient Rules |
Lecture 3 d of Log, Trig, and Inverse Trig Functions |
9/26 |
d Activity |
Homework Discussion QUIZ (L2, L3) |
Lecture 4 Derivatives (slopes of tangents) |
Lecture 5 Derivatives, cont. (concavity) |
10/3 |
Homework Discussion QUIZ (L4-L5) |
Lecture 6 Implicit
Differentiation |
Lecture 7 (also Section 4.2) Linear Approximation |
Homework Discussion QUIZ (L6-L7) |
10/10 |
Derivative Exam
Review |
No Class |
Exam II: Derivatives |
Section 4.8 L’Hospital’s
Rule |
10/17 |
Section 4.4 Mean Value Theorem |
Section 4.10 Antiderivatives |
Homework Discussion QUIZ (4.4, 4.8, 4.10) |
Section 4.3 Maxima and Minima |
10/24 |
Section 4.5 Derivatives and the Shape of the Graph |
Curve Sketching Activity |
Homework Discussion QUIZ (4.3, 4.5) |
Section 4.1 Related Rates |
10/31 |
Section 4.7 Optimization |
Applied Activity |
Homework Discussion QUIZ (4.1, 4.7) |
Applications Exam
Review |
11/7 |
Exam III: Applications |
Section 5.1 Approximating Areas |
Section 5.2 The Definite Integral |
No Class |
11/14 |
Section 5.3 Fundamental Theorem of Calculus |
Homework Discussion QUIZ (5.1-5.3) |
Section 5.4 Integration and Net Change |
Section 5.5 Substitution |
11/21 |
Substitution Activity |
Section 6.1 Area Between Curves |
No Class |
|
11/28 |
Homework Discussion QUIZ (5.4, 5.5, 6.1) |
Integration Exam Review |
Exam IV: Integration |
Final Review |
Final Exam
Wednesday, December 7,
10:30am – 12:30pm
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!
WeBWorK Tips
#1: Use the Mozilla Firefox browser. The flash applications in WeBWorK 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 WeBWorK. 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 WeBWorK. This way you will have a good paper record to study from, to examine for errors if WeBWorK 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 WeBWorKs 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: WeBWorK 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, WeBWorK will still mark it incorrect without any hint of how close you are to the correct answer. Also, WeBWorK 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 WeBWorK that won’t work on an exam. For example, many questions on WeBWorK 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, dis/abilities, 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
·
Two good places to help you find resources of all kinds on
campus are Student Support/Campus Services and the Inclusion
and Diversity Office. Both offices are dedicated to helping students of all
racial, ethnic, economic, national, sexual, and gender identities. They can
facilitate tutoring and point you to a wide range of resources.
·
If you have a mental, physical, or learning disability,
the Access Services office can document it for your professors
and facilitate accommodations. If you have a documented disability that
requires accommodation, please contact Access Services as soon as possible.
·
College can be very stressful. Counseling offices
on both campuses are here to help you with a wide range of difficulties,
ranging from sexual assault, depression, and grief after the loss of a loved one
to stress management, anxiety, general adjustment to college, and many
others.
·
The KEAP-Diversity-Resource-Center Faculty Liaison can direct
people to multicultural resources on and off campus.
·
To find out about web registration, placement tests, program
requirements and support tools to help students succeed, visit the Advising
Services office and website for answers to all your questions!
·
For help with understanding the concepts of a particular class
or understanding the requirements of an assignment, Tutoring Services offers
three types of tutoring: drop-in appointments, 1-on-1 tutoring, and group
sessions. You can visit them in Krueger Library 220 or go on-line and use TutorTrac to schedule a session, https://tutortrac.winona.edu/TracWeb40/Default.html.
·
For help specifically with writing and the development of
papers, the English department has a Writing Center that is staffed by trained graduate students pursuing their
Master’s degree in English. The Writing Center is located in Minné Hall 348. You can make an appointment on the
sign-up sheet on the door or call 457-5505.
The Standard Disclaimer
applies.
© Eric Errthum, September 2016, all rights reserved.