MATH 212-03 Calculus I
Syllabus for Spring 2019

MTHF 9:00am – 9:50am in 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.

Text:         Single Variable Calculus: Early Transcendentals: https://www.whitman.edu/mathematics/calculus/calculus.pdf

No calculators will be allowed on any quiz or exam, but might be required for some homework problems and/or in-class activities.

Optional Texts:        -- Calculus Volume 1 by OpenStax.com: https://openstax.org/details/calculus-volume-1
-- Calculus: Early Transcendentals, James Stewart (or any edition 5th or later)

Course Website:       http://course1.winona.edu/eerrthum/math212

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. 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:  Attendance and Participation                                    100 points---- 12.5%
                  WeBWorK Assignments (scaled)                             115 points---- 14.37%

                  Quizzes (10 @ 15 points each, drop lowest)            135 points---- 16.88%
                  Midterms (4 @ 75 points)                                         300 points---- 37.5%
                  Final                                                                          150 points---- 18.75%
                                                                                                    --------------

                                                                                                     800 points total

Grades:  A = 90% (720 pts), B = 80% (640 pts), C = 70% (560 pts), D = 60% (480 pts)

Attendance and Participation:         About half of the class periods will be spent working in groups on a set of problems. Participation in your group (e.g. explaining to others how to do a problem, challenging the know-it-all in your group to explain it to you, etc.) will be essential to your learning and your grade. Attendance will also be taken on lecture days. If you show up late, you may not be counted.

Homework:    Homework will be assigned daily and will be due at 8:00am 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_03_S2019/. (Many institutions use WeBWorK; make sure you are accessing the one at Winona State.) Your username is your Star ID and your initial password is your 8-digit student ID number. (For example, login: xf3912pu, password: 00123456). 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. The first half of quiz periods will be open for questions on lecture material, WeBWorK problems, and/or group activities.

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 8:00AM on Tuesday, May 7.

Extra Credit: Frequently quizzes and exams will contain bonus problems where students will have the chance to earn extra credit points. There will not be any additional extra credit opportunities given.

Resources:      Tutoring Services is located in the library and provides free one-on-one tutoring. See www.winona.edu/tutoring for more info. This class also has a designated student leader who will also be running weekly study sessions. Of course, you can also come see the instructor during office hours or by appointment.

BrightSpace:  Some course materials and approximate grades can be found on D2L.

Late/Missed Work:    Missed quizzes will result in a score of zero. There are no make-up quizzes. Make-up exams 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.

Academic Dishonesty:  Any type of academic dishonesty (cheating, copying, etc.) will result in failure and will be reported to school authorities. If you are having trouble with an assignment, please see the instructor first.

Note:   This syllabus is subject to change if deemed necessary by the instructor.



Tentative Schedule of Events – Math 212

(subject to change)

 

Week Starting

Monday

Tuesday

Thursday

Friday

1/14

Intro and
Review Sheet 1

Review Sheet 2

Review in WebWork Due

 

Section 2.1

Slope of a function

Section 2.2

Group Work
2.1 – 2.2

1/21

No Class
MLK Day

QUIZ
(Review, 2.1 – 2.2)

 

Section 2.3

Limits

Section 2.4

Derivative Function

Group Work
2.3 – 2.4

1/28

Section 2.5
Adjectives for Functions

Snow Day Worksheet
2.5

FREEZE OUT

QUIZ
(Review, 2.3 – 2.5)

2/4

Exam 1 Review

Exam 1

LECTURE 1 of Notes on D2L

 

Section 3.1
The Power Rule

Section 3.2
Linearity of the Derivative

Section 3.3
Product Rule

Group Work
(Lecture 1 / 3.1 – 3.3)

2/11

LECTURE 2 of Notes on D2L

 

Section 3.4
Quotient Rule

Sections 4.1 – 4.4
Derivative of sin

Section 4.5
Derivatives of the Trig Functions

Group Work
(3.4, 4.1 – 4.5)

QUIZ
(Lecture 1 and 2)

LECTURE 3 of Notes on D2L

 

Section 4.6 – 4.7
Exp and Log Functions and their Derivatives

Sections 4.8 – 4.9
Inverse Trig Functions and their Derivatives

2/18

Group Work
(4.6 – 4.9)

No Class
University Improvement Day

LECTURE 4 slides are on D2L

 

Derivatives as functions

Derivatives and function adjectives

Group Work

2/25

BLIZZARD

 

TAKE-HOME QUIZ

LECTURE 5 of Notes on D2L

 

Section 6.4
Linear Approximations

Derivatives on implicitly defined curves

Group Work
(6.4)

Section 4.10
Limits, again

Group Work
(4.10)

3/4

QUIZ
(4.10, 6.4)

Exam 2 Review

 

Exam 2

Section 5.1
Max and Min

Section 5.2
First Derivative Test

3/11

SPRING BREAK

3/18

Group Work
(5.1 – 5.2)

Section 5.3
Second Derivative Test

Section 5.4
Concavity and Inflection Points

Group Work
(5.3 – 5.4)

 

QUIZ
(5.1 – 5.4)

3/25

Section 6.1
Optimization

Group Work
(6.1)

Section 6.2
Related Rates

Group Work
(6.2, 6.5)

4/1

QUIZ
(6.1 – 6.2, 6.5)

Exam 3 Review

Exam 3

Section 4.4 of OpenStax
Mean Value Theorem

 

Section 4.10 of OpenStax Antiderivatives

4/8

Group Work
(4.4, 4.10)

Sections 5.1 and 5.2 of OpenStax

Areas, Distance Travelled, and Definite Integral

Group Work
(5.1, 5.2)

QUIZ
(4.4, 4.10, 5.1, 5.2)

4/15

Section 5.3 & 5.4 of OpenStax

The Fundamental Theorem of Calculus

 

Net Change

Group Work
(5.3 – 5.4)

Section 5.5 of OpenStax
Substitution

Section 8.4
Integration by Parts

No Class
Spring Break Day

4/22

Group Work
(5.5, 8.4)

QUIZ
(5.3 – 5.5, 8.4)


No Class

Section 9.1
Area Between Curves

4/29

Group QUIZ

Exam 4 Review

Exam 4

Final Review

 

 

Final Exam: Tuesday, May 7, 8:00am.

 

 

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.” If you have difficulty with the subject, please see the instructor during office hours.

 

#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. If you still don’t understand the material, make an appointment with your instructor for help and come with specific questions about the lecture and/or material in the book.

 

#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. If you don’t understand why you solve a problem in a particular way, make an appointment with your instructor for help.

 

#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!

 

 

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, April 2019, all rights reserved.