MATH 212 Calculus I
Syllabus for Fall 2023
Mon, Tues, Thurs, Fri 11:00am – 11:50am,
Gild 324
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!
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: A mathematical computation device will be necessary
for this course. A Texas
Instrument TI-89 (or TI-92) graphing calculator is recommended. Note: Other
TI’s (e.g TI-83, TI-84, TI-87, etc.) will not
be sufficient. The Department of Mathematics & Statistics has TI-89s
available for loan on a first-come-first-serve basis while supplies last in
Gild 152 (7:30 a.m. – 4 p.m. Monday – Friday). For homework and/or in-class
work, feel free to use the emulator at https://ti89.updike.org/,
however this may NOT be used during 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.
Philosophy on Grades[1]: · The purpose of being in a math class 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 this math class 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. |
Standards: There are 53 standard skills. Your final grade for the course will be determined by your ability to consistently demonstrate these 53 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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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 2:00pm on Tuesday, Dec 5.
Wildcards: 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 mark counts but cannot be specifically improved.
WeBWorK
Homework: There is homework for each section, assigned through WeBWorK. The homework sets marked as due N minutes past
noon on Dec 4 contain the material corresponding to Quiz N. All homework is to
be submitted via the WeBWorK website located here:
http://wsumath.org/webwork2/Math_212_Calculus_I_Errthum_02_F2023/
(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
Final Exam: The Final Exam time is Thursday (Dec 7)
8:00-10:00am. 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 a 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.
MATH212
Grade Determination Table |
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|
to earn an |
to earn a |
to earn a |
to earn a |
||
WeBWorK |
≥90% |
≥80% |
≥70% |
≥60% |
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Standards |
Earn at least 72 marks of E or M on the standards, including at least 36 E marks |
Earn at least 64 marks of E or M on the standards, including at least 18 E marks |
Earn
at least 56 marks of E or M on the standards (no quota for E marks). |
Earn at least 40 marks of E or M on the standards (no quota for E marks). |
||
Attendance
Bonus |
||||||
≥90% à
+5 M standards OR |
80 – 90% à
+3 M standards OR +6% WeBWorK |
70 – 80% à
+1 M standards OR +2% WeBWorK |
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Note: Whether you get the standards or the WeBWorK bonus from attendance will be automatically decided for whatever is in your best interest. However, it will not be applied until the end of the semester. |
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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. 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.
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” and/or AI 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 11/3/23, subject to change)
Week |
Monday |
Tuesday |
Thursday |
Friday |
Aug 21 |
Review Sheet 1 |
Review Sheet 2 |
Section 1.7 of HH Introduction to Continuity Intermediate Value Theorem Function Descriptions S1, S14 |
Sections W2.1 and W2.2 of Whitman The Difference Quotient S2, S3 |
Aug 28 |
Section 2.2 of OS S4 |
QUIZ 1 |
Section 2.3 of OS Limit Laws S4, S5 |
Section 2.5 of OS Precise Definition of Limit S6 |
Sep 4 |
NO CLASS |
Section 4.6 of OS Limits with Infinity S7 |
QUIZ 2 |
Section 2.1 of HH Measuring Speed Section 2.2 of HH Derivative at a Point S8, S9 |
Sep 11 |
Section 2.3 of HH Derivative Function S10 |
QUIZ 3 |
Exam Review |
EXAM 1 |
Sep 18 |
Section 2.4 of HH Interpretations of the Derivative Local Linear Approximation S11, S12 |
Section 2.5 of HH Second Derivative S13, S14 |
QUIZ 4 |
LECTURE 1 of Notes on D2L Linearity, Product Rule, Power Rule S15, S16, S17, S18, S19 |
Sep 25 |
LECTURE 2 of Notes on D2L Quotient Rule, Trig Functions S17, S20 |
LECTURE 3 of Notes on D2L Exponentials, Logs, and Inverse Functions S21, S22 |
QUIZ 5 |
LECTURE 4 of Notes on D2L Section 3.9 of HH Derivatives and Linearization S23, S24, S25 |
Oct 2 |
LECTURE 5 of Notes on D2L Special Tangents, Approximation and Error Propagation S26, S27 |
NO CLASS |
Section 4.7 of HH L'Hospital's Rule S28 |
QUIZ 6 |
Oct 9 |
Exam Review |
EXAM 2 |
Section 4.1 of HH Using 1st &
Second Derivatives S29, S30 |
Section 4.1 of HH Inflection Points S29, S30 |
Oct 16 |
Section 4.2 of HH Optimization (Global Min and Max) S31 |
QUIZ 7 |
Section 4.3 of HH Optimization and Modeling S32, S33, S34, S35, S36 |
Section 4.3 of HH Optimization and Modeling, cont. S32, S33, S34,
S35, S36 |
Oct 23 |
Section 4.6 of HH Related Rates S32, S33, S34,
S35, S37 |
QUIZ 8 |
Section 4.4 of OS Mean Value Theorem Section 4.10 of OS Antiderivatives S38, S40, S41, S42 |
Section 6.1 of HH S39 |
Oct 30 |
QUIZ 9 |
Exam Review |
EXAM 3 |
Section 5.1 of OS Approximating Areas S43 |
Nov 6 |
Section 5.2 of OS Definite Integral S43, S44 |
Section 5.3 of OS Fundamental Theorem
of Calculus S45, S46 |
QUIZ 10 |
NO CLASS |
Nov 13 |
Section 5.4 of OS Net Change Theorem S47 |
Section 6.1 of OS Areas between
Curves S48 |
Section 6.2 of HH Analytical
Antiderivatives S49, S50, S51 |
QUIZ 11 |
Nov 20 |
Section 7.1 of HH Substitution S52 |
TBD |
NO CLASS |
NO CLASS |
Nov 27 |
Section 7.2 of HH Integration by Parts S53 |
QUIZ 12 |
Exam Review |
EXAM 4 |
All
WeBWorK due by:
Monday (Dec 4) at Noon
Deadline for Standard Retries:
Tuesday (Dec 5) at 2:00pm
Final Exam Time:
Thursday (Dec 7) 8:00am – 10:00am
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, November 2023, all rights reserved.
[1] Philosophy, following details, and wording heavily borrowed from/influenced by Robert Talbert, GVSU.