MATH 140
Applied Calculus
Syllabus for Spring 2022
Section 02: Tues, Thurs, 9:30am – 10:50am,
Gild 155
Section 03: Tues, Thurs, 11:00am – 12:20pm, Gild 155
Instructor: |
Winona
Email: |
Office:
|
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: Applied Calculus (6th Ed) by Hughes-Hallet provided through WileyPLUS (see info below)
Technology: A mathematical computation device will be necessary for this course. A Texas Instrument TI-89 (or TI-92) graphing calculator is required. 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.
Prerequisite: MATH 112, MATH115 or MATH 120 or a qualifying score on the mathematics placement exam.
Modality Disclaimer: 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.
About This Course: This course is intended to provide the student with a clear understanding of the ideas of calculus. Unlike “traditional” calculus classes that concentrate on the symbolic computations, this course specifically strives towards applying the mathematics to real-life situations (often in business/finance) and emphasizes the understanding and communication of the concepts and ideas (although it’ll also have its fair share of symbolic and numerical calculations). In other words, compared to other calculus courses you may have taken or heard about, in this course you will do less formulaic operations and much more explanation, application, and communication.
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. |
WileyPLUS Homework: Homework is assigned for every section even if it is not specifically announced in class/D2L. All homework problems will be done through the WileyPLUS webpage for this course. Directions for setting up WileyPLUS can be found in the “Course Materials” folder in the D2L Content. The course section ID is: B81487. Homework for a section is due by 11:59pm the night before the next class (detailed due dates can be found in WileyPLUS). If you have any problems getting started with WileyPLUS or doing any of the homework assignments, please contact the instructor.
· Grading: Each problem in WileyPLUS 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 140 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 21 standard skills that each come in 3 flavors and there are another 16 single-flavored standard skills. Your final grade for the course will be determined by your ability to demonstrate (some of) these 79 skills. The complete list of standards can be found on the “MATH140 Grading Card (Blank)” pdf in D2L. We will have 6 short (approx. 25-minute) quizzes, three 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 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.
Mark |
Description |
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. |
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. |
R |
Revision
needed, due to a serious error or omission. Partial understanding is evident,
but there are significant gaps, omissions, or errors. |
N |
Not
assessable, due to major omissions or persistent/systemic major errors. |
Once you have earned an E (or M) on a
Standard/Flavor, it cannot be lost (only improved).
Improving your Mark: If you want to improve your mark on a Standard, there are a variety of ways available to you. See the “Math140 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.
Wildcards and Tokens: Most quizzes and exams will 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.
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 C. For the standards that come in three flavors, only your two highest marks count. 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.
MATH140 Grade Determination
Table |
||||||
|
to earn an |
to earn a |
to earn a |
to earn a |
||
WileyPLUS Homework Score |
≥90% |
≥80% |
≥70% |
≥60% |
||
Standards |
Earn at least 44 marks of E or M on the standards, including at least 22 E marks |
Earn at least 39 marks of E or M on the standards, including at least 11 E marks |
Earn at least 34 marks of E or M on the standards (no
quota for E marks). |
Earn at least 25 marks of E or M on the standards (no quota for E marks). |
||
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 Essay Requirement |
||
Attendance and Participation
Bonus |
||||||
≥90% à
+5 M standards OR |
80 – 90% à +3 M standards OR |
70 – 80% à +1 M standards OR |
||||
Note: Whether you get the standards or the WileyPLUS 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. |
||||||
Videos: Video lectures from the Spring 2021 semester will be posted to D2L. Feel
free to use these to study from but watching the video does NOT replace attending
lecture. Occasionally you may be referred to a video if we run out of time
during class. NOTE: the videos may make references to quizzes/exams/due
dates/reviews/office hours/etc. that will be different this semester. 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.
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 9/15/22, subject to change)
Week |
Tuesday |
Thursday |
Aug 22 |
Introductions/ 1.1 Functions |
1.2 Linear Functions 1.5 Exponential Functions
(See “How to Use your TI” on D2L) |
Aug 29 |
1.5 Exponential Functions, cont.
1.8 New Functions from Old / Transformations |
1.9/10 Power Functions, and Polynomials, Periodic Functions 1.3 Average Rate of Change |
Sep 5 |
Chapter 1 QUIZ 1 2.1 Instantaneous
Rate of Change |
2.1 Instantaneous Rate of Change, cont. 2.2 The Derivative
Function 1.9 Proportionality |
Sep 12 |
2.3 Interpretations of the Derivative and Local Linear Approximation 2.4 The Second Derivative |
2.4 The Second Derivative, cont. FIRE ALARM |
Sep 19 |
1.4 Economics
Applications (Cost and Revenue)
|
Chapter 2 QUIZ 2 Exam 1 Review
Session |
Sep 26 |
EXAM 1 |
3.X Derivatives
Using CAS Calculator / Linearity Rule
|
Oct 3 |
NO CLASS University Improvement Day |
3.4 Product Rule
and Quotient Rule |
Oct 10 |
Chapter 3 QUIZ 3 4.1 Local Maxima
& Minima |
4.1 Local Maxima
& Minima, cont. 4.2 Inflection Points |
Oct 17 |
4.3 Global Maxima
& Minima 4.4 Profit, Cost,
Revenue |
1.4 Economics
Applications 4.4 Profit, Cost,
Revenue, cont. 4.6 Elasticity of Demand |
Oct 24 |
Chapter 4 QUIZ 4 Exam 2 Review
Session |
EXAM 2 |
Oct 31 |
Recommended Due Date
for A-option Essay 5.2 The Definite Integral |
5.3 The Definite
Integral as Area 6.4 Consumer and
Producer Surplus 5.4 Interpretations of the Definite Integral Extra Credit Standards (see video
lectures in D2L): 1.7 Present and Future Values 6.5 Present and Future Values |
Nov 7 |
Quiz 5 Q & A QUIZ 5 5.5 Fundamental Theorem of Calculus |
5.5 Fundamental Theorem of Calculus, cont. 5.6 Average Value |
Nov 14 |
6.1 Analyzing Antiderivatives Graphically 6.2 Antiderivatives and Indefinite Integrals and using CAS |
Recommended Due
Date for ABC-option Essay 6.3 Using the Fundamental Theorem |
Nov 21 |
Quiz 6 Q & A
QUIZ 6 Exam 3 Review Session |
NO CLASS Thanksgiving Break |
Nov 28 |
EXAM 3 |
Final Review
Session |
Final
Exam Times:
Section 02 (9:30am section): Wednesday (Dec 7) 1:00 – 3:00pm
Section 03 (11am section): Thursday (Dec 8) 1:00 – 3:00pm
Alternate Time: Monday (Dec 5) 1:00 –
3:00pm
Alternate Time: Thursday (Dec 8)
8:00-10:00am
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, September 2022, all rights reserved.
[1] Philosophy, following details, and wording heavily borrowed from/influenced by Robert Talbert, GVSU.