MATH 212
Calculus 1
Syllabus for Spring 2023
Mon, Tues, Thurs, Fri 10:00am – 10:50am,
Gild 324
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Instructor: |
Winona
Email: |
Office:
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Office
Hours: |
Communication Methods: The main way I will communicate with students (other than in-person in class) is via D2L Announcements and/or email. The best way to communicate with me is either in-person (during class or office hours) and/or via email. PLEASE REACH OUT TO ME IF YOU HAVE QUESTIONS OR CONCERNS ABOUT THE MATERIAL! THE SOONER THE BETTER!
Content Delivery: A significant portion of the content in this
course will be delivered via videos posted on D2L. In-person classtime will be spent recapping these videos and working
on building the associated skills through various activities and group work. Watching
the videos before class is crucial to your success. At the same time, the
video does NOT replace attending lecture. NOTE: Ignore any references to
quizzes/exams/due dates/reviews/office hours/etc. that the videos may make. This course is designed to be an in-person
course. For as long as the University allows in-person classes, there is no
guarantee that required materials/content/assessments will be available to
those who do not attend class in person.
Text
Resources: * Calculus Volume 1 by
OpenStax.com: https://openstax.org/details/calculus-volume-1
* Calculus:
Single Variable by Deborah Hughes-Hallett (necessary excerpts available in
D2L)
* Single Variable Calculus: Early Transcendentals: https://www.whitman.edu/mathematics/calculus/calculus.pdf
Technology: Calculators
may be necessary for some homework problems but Calculators are NOT allowed on quizzes or exams.
Prerequisite: MATH 120
(Pre-calculus) or a qualifying score on the mathematics placement exam
About This Course: This course is
intended to provide the student with a clear understanding of the ideas of
differential calculus and the beginnings of integration. This course will
concentrate on the symbolic, algebraic, functional computations, the meaning of
those computations, and some of the applications of mathematics.
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Philosophy on Grades[1]: · The purpose of being in MATH140 is to learn useful and interesting tools, not to score points and get letter grades. If we spend more time thinking about grades than about mathematics, we’ve failed. · Your grades are supposed to serve you, not the other way around. Grades should provide clear, specific, and actionable feedback on what you are doing well and what you need to work on — not just an audit of what you did wrong but a teaching moment for how to improve. · And, you should be given the opportunity to improve your work and learn from your mistakes using the feedback you receive. · Your final course grade should give information about the quantity and quality of evidence you provide during the semester that shows you understand concepts. It should not be based on artificial measurements that can easily be gamed or distorted. ·
In short -- your individual grades during
the course should reflect the result of an iterative process of demonstrating
what you know, based on multiple attempts and feedback; and the course grade
should indicate all the things you were eventually able to show that you
know. The system of assessment and grading that we use in MATH140 is an effort to enact a grading system that does all this — that is accurate, transparent, and fair. It may be somewhat different than you are used to, so read the following carefully. |
WeBWorK
Homework: There is homework for each section, assigneed
through WeBWorK. The homework for each section is due 47 hours after class or before the next quiz (whichever comes
first). All homework is to be submitted via the WeBWorK
website located here:
http://wsumath.org/webwork2/Math_212_Calculus_I_Errthum_S2023/.
(Note: Many institutions use WeBWorK; make sure you are accessing the one at Winona
State.) Your WeBWorK username is your Star ID and your initial password is your 8-digit student ID
number. If you have any problems logging in to WeBWorK,
please contact the instructor. Even though all the homework is submitted online,
you should keep a written record of your work in a notebook in case you need to
ask for help.
· Grading: Each problem in WeBWorK has a given point value. Partial credit on a question is sometimes possible. Ultimately a percentage will be recorded for the grade.
Essays: This course does more than aim to give you specific mathematical skills. It also hopes to instill in you the mathematical virtues of Motivation, Relevancy, Exploration, Curiosity, and Persistence. You will be given the opportunity of demonstrating one or more of these virtues through essay prompts. Details can be found in the D2L Content in the “Math 212 Essay Topics” document.
· Grading: Essays are awarded a “Pass” or an “Incomplete”. An essay earns a “Pass” if it answers all parts of the prompt, communicates well, and truly exhibits the Mathematical Virtue being written about. An essay is “Incomplete” if it does not answer all parts of the prompt or does not communicate the ideas in an understandable way.
Standards: There are 49 standard skills split into 3 categories: Core, Primary, Mathematical. Your final grade for the course will be determined by your ability to consistently demonstrate (some of) these 49 skills. The complete list of standards can be found on the “MATH212 Grading Card” pdf in D2L. We will have 12 short (approx. 25-minute) quizzes, four exams and one comprehensive final exam. Dates for quizzes and exams can be found in the schedule below. Questions on the quizzes and exams will be directly based on the standards covered in or prior to that section/chapter/module.
· Grading for Standards: Quizzes and exams are graded by evaluating the work relative to college-level expectations for quality and one of four marks is given to the work — E, M, R, or N. These marks are explained more in the rubric diagram and table below.
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Mark |
Description |
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E |
Excellent
or exemplary. The work has either no errors at all, or only trivial
ones. The work shows clear communication and uses correct, well-constructed
English along with correct mathematical notation. All work is clearly
explained, and detailed justifications are provided. |
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M |
Meets
the expectations for the assignment (but is not “excellent”). The solution is
complete and reasonably well-communicated and understanding of the concept is
evident. There may be some minor, easily correctible mistakes including
language or notational errors. Adequate explanations are provided but there
are some minor gaps or omissions. |
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R |
Revision
needed, due to a serious error or omission. Partial understanding is evident,
but there are significant gaps, omissions, or errors. |
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N |
Not
assessable, due to major omissions or persistent/systemic major errors. |
Once you have earned an E (or M) on a
Standard, it cannot be lost.
Only the top two marks of each Standard will be counted.
Improving your Mark: If you want to improve your mark on a Standard, there are a variety of ways available to you. See the “Math212 Mark Improvement Options” in D2L. In general, if you want to improve your mark in a standard, email me and/or stop by during office hours.
· You are allowed to retry as many standards as time allows during office hours. However, you may only try a specific standard once per day.
· I'm happy to answer questions about the standards in general and/or how they showed up in exams or quizzes. Stopping by office hours is best; but email sometimes works too.
· If we go over a certain problem/standard in my office, you will have to wait until the next day before taking a retry in that standard.
·
All Mark Improvements must be completed by
3:30pm on Friday, April 28.
Wildcards and Tokens: Some quizzes and exams may contain
“Wildcard” problems that are typically a bit harder than usual and do not fit into
one of the standards. Earning an E or M on a Wildcard will count toward your
overall Primary mark counts but cannot be specifically improved.
Final Exam: The default Final Exam time is Wednesday
(May 3) 8:00-10:00am. Other time slot options are given below. The final exam
will be individualized for each student and only contain problems for standards
that you currently have a second-highest mark of R or N. If you have an standard with EE, EM, or MM, it will not be improved by
taking the final exam.
Determination of Course Grade: Your course grade is determined by the number of accomplishments you rack up during the course and the level of skill demonstrated by your work. The Grade Determination Table below shows what accomplishments are required for each basic grade level from A through D. Please note that all the requirements for a grade level must be met in order to earn that grade. The grade awarded will be the highest grade for which all requirements are met. I will try to keep an updated record on D2L, but you can always email me directly if D2L seems to be incorrect and/or out-of-date.
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MATH140 Grade
Determination Table |
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to earn an |
to earn a |
to earn a |
to earn a |
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Preparation, Attendance, Participation |
≥90% |
≥80% |
≥70% |
≥60% |
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WeBWorK Homework Score |
≥90% |
≥80% |
≥70% |
≥50% |
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Core Standards |
At least 28 E’s or M’s, including at least 14 E’s |
At least 25 E’s or M’s, including at least 11 E’s |
At least 22 E’s or
M’s, including at least 8 E’s |
At least 16 E’s or M’s |
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Primary Standards |
At least 36 E’s or M’s, including at least 18 E’s |
At least 32 E’s or M’s, including at least 9 E’s |
At least 28 E’s or
M’s |
At least 20 E’s or M’s |
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Math Standards |
At least 13 E/M*’s, including at least 6 E*’s |
At least 9 E/M*’s |
(no requirement) |
(no requirement) |
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Mathematical Essays |
Earn: a “Pass” on at least 2 essays |
Earn: a “Pass” on at least 1 essay |
Earn: a “Pass” on at least 1 essay |
(no requirement) |
Tutoring: Tutoring Services is located in the library and
provides free one-on-one tutoring. See www.winona.edu/tutoring
for more info and to schedule in-person or virtual tutoring sessions.
Late/Missed Work: All assessments are required to be taken in person and according to the schedule below and/or the schedule announced in class. Make-up quizzes and make-up exams before the time of the normal quiz or exam will be given during office hours at the discretion of the instructor. If you have an unavoidable absence or sickness, please inform the instructor AS SOON AS POSSIBLE. This is NOT an online course.
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 sample quizzes, exams, etc. that have not been made available to the whole class. This also includes student-to-student communication during a quiz or exam and/or using unsanctioned “homework help” websites to answer homework/quiz/exam problems. If you are having trouble with the course, please contact the instructor first.
Note: This syllabus is subject to change if deemed necessary by the instructor.
(as of 4/27/23, subject to change)
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Week |
Monday |
Tuesday |
Thursday |
Friday |
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Jan 9 |
Review Sheet 1 |
Review Sheet 2 |
Review in WebWork Due Section 1.7 of HH Introduction to Continuity Intermediate Value Theorem Function
Descriptions |
Sections W2.1 and W2.2 of Whitman The Difference
Quotient |
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Jan 16 |
NO CLASS |
Section 2.2 of OS |
QUIZ 1 |
Section 2.3 of OS Limit Laws |
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Jan 23 |
Section 2.5 of OS Precise Definition
of Limit |
Section 4.6 of OS Limits with Infinity |
QUIZ 2 |
Section 2.1 of HH Measuring Speed Section 2.2 of HH Derivative at a
Point |
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Jan 30 |
Section 2.3 of HH Derivative Function |
QUIZ 3 |
Exam
Review |
EXAM 1 |
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Feb 6 |
Section 2.4 of HH Interpretations of the Derivative Local Linear
Approximation |
Section 2.5 of HH Second Derivative |
QUIZ 4 |
LECTURE 1 of Notes on D2L Linearity, Product
Rule, Power Rule |
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Feb 13 |
LECTURE 2 of Notes on D2L Quotient Rule, Trig
Functions |
NO CLASS |
LECTURE 3 of Notes on D2L Exponentials, Logs,
and Inverse Functions |
d Practice/Activity |
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Feb 20 |
QUIZ 5 |
LECTURE 4 of Notes on D2L Section 3.9 of HH Derivatives and
Linearization |
No In-Person
MATH212 LECTURE 5 of Notes on D2L Special Tangents,
Approximation and Error Propagation |
No In-Person
MATH212 Section 4.7 of HH L'Hospital's Rule |
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Feb 27 |
Recap Activity |
QUIZ 6 |
Exam
Review |
EXAM 2 |
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Mar 6 |
SPRING BREAK |
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Mar 13 |
Using 1st & Second
Derivatives |
Section 4.1 of HH Local Mins and
Maxes |
Section 4.1 of HH Inflection Points |
QUIZ 7 |
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Mar 20 |
Section 4.2 of HH Optimization (Global Min and
Max) |
Section 4.3 of HH Optimization and
Modeling |
Section 4.6 of HH Related Rates |
QUIZ 8 |
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Mar 27 |
Section 4.4 of OS Mean Value Theorem Section 4.10 of OS Antiderivatives |
Section 6.1 of HH |
QUIZ 9 |
Exam
Review |
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Apr 3 |
EXAM 3 |
Section 5.1 of OS Approximating Areas |
Section 5.2 of OS Definite Integral |
Section 5.3 of OS Fundamental Theorem
of Calculus |
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Apr 10 |
QUIZ 10 |
Section 5.4 of OS Net Change Theorem |
Section 6.1 of OS Areas between
Curves |
NO CLASS |
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Apr 17 |
Section 6.2 of HH Analytical
Antiderivatives |
QUIZ 11 |
Section 7.1 of HH Substitution |
Section 7.2 of HH Integration by
Parts |
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Apr 24 |
QUIZ 12 |
Exam
Review |
EXAM 4 |
Standard Make-Up
Day |
Final
Exam Time Options:
Monday (May 1)
1:00pm – 3:00pm
Tuesday (May 2) 8:00am – 10:00am
Wednesday (May 3) 8:00am – 10:00am (default)
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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 for 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. If you or a friend
has been a victim of sexual assault, dating violence, domestic violence, or
stalking, you can talk to a trained, confidential advocate by calling
507.457.5610. |
The Standard
Disclaimer applies. © Eric Errthum, April 2023, all rights reserved.