MATH 140 Applied Calculus
Syllabus for Fall 2021

Section 02: Mon, Wed, Fri, 1:00pm – 1:50pm, Gild 155
Section 04: Mon, Wed, Fri, 10:00am – 10:50am, Gild 226

Instructor:
Dr. Eric Errthum

Winona Email:
eerrthum [at] winona [dot] edu

Office:
205 Gildemeister Hall

Office Hours: 
See homepage. Or by appointment.

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 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).

Prerequisite: MATH 112, MATH115 or MATH 120 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 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.

Modality Disclaimers: (i) 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. (ii) Proper masking is required at all times by all persons until the University Guidelines change. However, I am not able to forcefully enforce this policy on your fellow classmates. Flagrant unmasking will result in being reported to the Dean after class. (iii) If you are unable to regularly attend class in person, I strongly recommend that you either find a synonymous/transferable online course or contact Access Services (access@winona.edu) to apply for special consideration.

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: A17098. Homework for a section is due before 4am on the following class day. 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. More information 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 20 standard skills that each come in 3 flavors and there are another 12 single-flavored standard skills. Your final grade for the course will be determined by your ability to demonstrate (some of) these 72 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 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. Note: You are only allowed to improve your mark in 1 Standard per week (except when using a token). Students have 5 tokens for the semester that allow them to initiate additional mark improvements outside the one per week limitation.

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
A

to earn a
B

to earn a
C

to earn a
D

WileyPLUS Homework Score

≥90%

≥80%

≥70%

≥60%

Standards
(Quiz and/or Exams questions,
post-Exam opportunities)

Earn at least 40 marks of E or M on the standards, including at least 20 E marks

Earn at least 36 marks of E or M on the standards, including at least 10 E marks

Earn at least 31 marks of E or M on the standards (no quota for E marks).

Earn at least 22 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

 

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.

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 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 posting homework, quiz, or exam questions to unsanctioned “homework help” websites. 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.

 

Schedule of Events – Math 140

(as of 9/17/21, subject to change)

 

Week

Monday

Wednesday

Friday

Aug 23

Introductions/
Syllabus

1.1 Functions

 

1.2 Linear Functions

WileyPLUS 1.1 Due

 

1.2 Linear Functions, cont.

 

1.5 Exponential Functions


1.X Using CAS calculator to solve

(See “How to Use your TI” on D2L)

Aug 30

WileyPLUS 1.2 Due

 

1.5 Exponential Functions, cont.


1.6 Natural Logarithm


1.7 Exponential Growth Model

WileyPLUS 1.5, 1.6, 1.7.a Due

 

1.8 New Functions from Old / Transformations

1.9/10 Power Functions, and Polynomials, Periodic Functions

WileyPLUS 1.8, 1.9.a, 1.10 Due

 

1.3 Average Rate of Change

Sep 6

NO CLASS
Labor Day

WileyPLUS 1.3 Due

 

Chapter 1
Q & A

 

QUIZ 1

2.1 Instantaneous Rate of Change

Sep 13

WileyPLUS 2.1 Due

 

2.2 The Derivative Function

1.9 Proportionality

WileyPLUS 2.2, 1.9.b Due

 

2.3 Interpretations of the Derivative

and

Local Linear Approximation

WileyPLUS 2.3 Due

 

2.4 The Second Derivative

Sep 20

WileyPLUS 2.4 Due

 

1.4 Economics Applications (Cost and Revenue)


2.5 Marginal Cost and Revenue

WileyPLUS 1.4.a, 2.5 Due

 

Chapter 2
Q & A

 

QUIZ 2

Exam 1 Review Session

Sep 27

No MATH140 Class

EXAM 1

3.X Derivatives Using CAS Calculator / Linearity Rule


3.3 Chain Rule

Oct 4

WileyPLUS 3.X Due

 

3.3 Chain Rule, cont.

 

3.4 Product Rule

NO CLASS
University Improvement Day

 

Recommended Due Date for A-option Essay

WileyPLUS 3.3 Due

 

3.4 Product Rule, cont.

Oct 11

WileyPLUS 3.4 Due

 

Chapter 3
Q & A

 

QUIZ 3

4.1 Local Maxima & Minima

4.1 Local Maxima & Minima, cont.

 

4.2 Inflection Points

Oct 18

WileyPLUS 4.1, 4.2 Due

 

4.3 Global Maxima & Minima

WileyPLUS 4.3 Due

 

4.4 Profit, Cost, Revenue

 

1.4 Economics Applications
(Supply & Demand)

WileyPLUS 4.4.a, 1.4.b Due

 

4.4 Profit, Cost, Revenue, cont.

4.6 Elasticity of Demand

Oct 25

WileyPLUS 4.4.b, 4.6 Due

 

Chapter 4
Q & A

 

QUIZ 4

Exam 2 Review Session

EXAM 2

Nov 1

5.1 Distance and Accumulated Change

 

5.2 The Definite Integral

WileyPLUS 5.1 Due

 

5.2 The Definite Integral, cont.

 

5.3 The Definite Integral as Area

WileyPLUS 5.2, 5.3 Due

 

6.4 Consumer and Producer Surplus

 

5.4 Interpretations of the Definite Integral

Nov 8

WileyPLUS 6.4, 5.4 Due

 

1.7 Present and Future Values

 

6.5 Present and Future Values

WileyPLUS 1.7.b, 6.5 Due

 

Quiz 5 Q & A

 

QUIZ 5

5.5 Fundamental Theorem of Calculus

Nov 15

WileyPLUS 5.5 Due

 

5.6 Average Value

 

Recommended Due Date for ABC-option Essay

WileyPLUS 5.6 Due

 

6.1 Analyzing Antiderivatives Graphically

 

6.2 Antiderivatives and Indefinite Integrals

WileyPLUS 6.1 Due

 

6.2 Antiderivatives and Indefinite Integrals and using CAS, cont.

 

6.3 Using the Fundamental Theorem

Nov 22

WileyPLUS 6.2, 6.3 Due

 

Quiz 6 Q & A

 

QUIZ 6

NO CLASS
Thanksgiving Break

NO CLASS
Thanksgiving Break

Nov 29

Exam 3 Review Session

EXAM 3

Final Review Session


Final Exam Times:
Section 2: Monday (Dec 6) 1:00 – 3:00pm
Section 4: Wednesday (Dec 8) 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, September 2021, all rights reserved.

 



[1] Philosophy, following details, and wording heavily borrowed from/influenced by Robert Talbert, GVSU.