MATH 120-01 Precalculus
Syllabus for Spring 2024

MTHF 11:00am – 11:50am in 329 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:         Open Stax Pre-Calculus                Calculator: Preferably a TI graphing calculator, at least some sort
                                                                              of scientific calculator
ALEKS.com 18-week Access

Prerequisite: MATH 050, MATH115, or a qualifying score on the mathematics placement exam

About This Course:  This course is intended to provide the student with an understanding of the ideas leading up to calculus. Rational, exponential, logarithmic, and trigonometric functions are all considered, especially in solving equations and working with graphs. These topics compose a solid mathematical basis from which to build on in future math courses. As a terminal class, the topics contained in this course are meant to be a broad survey of the mathematics you may need or encounter in various fields of study.

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 56 standard skills spread (unevenly) across 4 units. Your final grade for the course will be determined by your ability to consistently demonstrate these 56 skills. The complete list of standards can be found on the “MATH120GradingStandards” pdf in D2L. We will have 9 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/unit.

·         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, 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 “Math120MarkImprovementOptions” 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 4:00pm on Thursday, April 25.

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.

ALEKS:         Homework in this class will be through the ALEKS website. The course code for this class is XAKGT-J6KYK. You can purchase an ALEKS access code online through the website or from the WSU bookstore. (Note: ALEKS Access is for 18 weeks. If you’re reading this before the first day of class, do NOT begin your access early.) You must complete the “Tools Tutorial” and “Initial Knowledge Check” by the beginning of class on Thursday, January 11th. Note: DO NOT USE A CALCULATOR unless ALEKS gives you one on-screen. While taking the “Initial Knowledge Check”, questions will be asked regarding concepts throughout the course. Do not feel bad if you don’t know how to do a question: that’s what you’re taking this class to learn! At the same time, don’t brush off questions that you should know how to do from a previous course. Doing so will cause you to have more prerequisite topics to complete in ALEKS. After completing the “Initial Knowledge Check”, ALEKS will create an individualized path for each student to follow to achieve the common course objectives.

ALEKS Topics & Checkpoints:      There are 299 ALEKS topics in the course. To keep you on pace, the schedule below has periodic checkpoints and how many topics you should’ve mastered by that time. The ALEKS Pie Pieces correspond to Units in class in the following way:

·         Unit 1: Algebra and Geometry Review, Equations and Inequalities, Graphs and Functions, Polynomial and Rational Functions (85 topics)

·         Unit 2: Exponential and Logarithmic Functions (58 topics)

·         Unit 3: Trigonometric Functions (94 topics)

·         Unit 4: Trigonometric Identities and Equations (62 topics)

·         Bonus Topics: Additional Topics in Trigonometry, Systems of Equations and Matrices, Conic Sections, Sequences, Series, and Probability, Limits and Continuity

Before each unit exam, the corresponding ALEKS Pie Pieces should be completed. If you complete them early, you are welcome to work ahead on material for later in the course and/or on Bonus Material.

Technology:   Graphing calculators are highly recommended, preferably a Texas Instrument. Some exams and quizzes will allow the use of calculators, and some will not. (They are NEVER allowed while working on ALEKS.) You MAY NOT use your cell phone, laptop, PDA, or other device capable of electronic communication in place of a calculator. Contact the instructor if you are having difficulties obtaining a calculator.

Quizzes and Exams: There will be 9 quizzes and 4 exams periodically throughout the semester (see schedule below). Quiz and exam questions will correlate directly to specific standards (see schedule on grading scorecard). They may or may not include topics you’ve been working on in ALEKS. The first half of quiz periods will be open for questions on lecture material and/or group activities. Questions from ALEKS material will be allowed if pertinent to the topics of the quiz.

Final Exam:   The Final Exam time is Thursday (May 2) 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.

 

MATH120 Grade Determination Table
The grade awarded will be the highest grade for which all requirements are met.

 

to earn an
A

to earn a
B

to earn a
C

to earn a
D

ALEKS

At least 270 topics mastered

At least 240 topics mastered

At least 210 topics mastered

At least 150 topics mastered

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

Earn at least:

·         24 total E/M marks in Unit 1, including at least 18 E marks

·         23 total E/M marks in Unit 2, including at least 18 E marks

·         40 total E/M marks in Units 3&4, including at least 30 E marks

Earn at least:

·         22 total E/M marks in Unit 1, including at least 14 E marks

·         21 total E/M marks in Unit 2, including at least 13 E marks

·         37 total E/M marks in Units 3&4, including at least 23 E marks

Earn at least:

·         21 total E/M marks in Unit 1, including at least 9 E marks

·         20 total E/M marks in Unit 2, including at least 8 E marks

·         35 total E/M marks in Units 3&4, including at least 15 E marks

Earn at least:

·         15 total E/M marks in Unit 1

·         15 total E/M marks in Unit 2

·         25 total E/M marks in Units 3&4

·         (no quota for E marks)

Attendance Bonus

≥90% à +5 M standards OR
+30 ALEKS topics

80 – 90% à +3 M standards OR
+20 ALEKS topics

70 – 80% à +1 M standards OR
+10 ALEKS topics

Note: Whether you get the ALEKS bonus or the extra standards (and how they are distributed over the units) 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.

 

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:    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 120

(as of 3-May-24, subject to change)

 

Week

Monday

Tuesday

Thursday

Friday

1/8

Introductions
ALEKS Set-up

Review Chapter 1

ALEKS Checkpoint:
ALEKS Initial Knowledge Check Due

 

Review Chapter 2

SNOW DAY

1/15

NO CLASS
MLK Day

3.1
Complex Numbers
3.2
Quadratic Functions

Group Work 3.1-3.2
(S1, S2)

3.3
Power Functions and Polynomials
3.4
Graphs of Polynomials

1/22

Group Work 3.3-3.4
(A, S3)

ALEKS Checkpoint:
43 topics

Quiz 1: 3.1 – 3.4

3.5
Dividing Polynomials
3.6
Zeroes of Polynomials

Group Work 3.5-3.6
(S4, S5)

1/29

3.7
Rational Functions
3.8
Inverses and Radical Functions

Group Work 3.7-3.8
(B, S6)

ALEKS Checkpoint:
85 topics

Quiz 2: 3.5 – 3.8

Review Session

2/5

ALEKS Objective:
Full Pie for Algebra and Geometry Review, Equations and Inequalities, Graphs and Functions, Polynomial and Rational Functions

 

UNIT 1 EXAM

4.1
Exponential Functions
4.2
Graphs of Exponential Functions

Group Work 4.1-4.2
(C)

4.3
Logarithmic Functions
4.4
Graphs of Logarithmic Functions

2/12

Group Work 4.3-4.4
(D, S7)

NO CLASS
Assessment Day

ALEKS Checkpoint:
114 topics

 

Quiz 3: 4.1-4.4

4.5
Logarithmic Properties
4.6
Exponential and Logarithmic Equations

 

How I Feel About Logarithms
(video introducing logs in a slightly different way)

2/19

Group Work 4.5-4.6
(S9, S10)

4.7
Exponential and Logarithmic Models

 

Innate Numbers Podcast
(interview about the human perception and logarithmic scale from about 5:50 – 12:20)

Group Work 4.7
(S11)

ALEKS Checkpoint:
143 topics

 

Quiz 4: 4.5-4.7

2/26

Review Session

ALEKS Objective:
Full Pie for Exponential and Logarithmic Functions

 

UNIT 2 EXAM

5.1
Angles
5.2
Unit Circle: Sine and Cosine

Group Work 5.1-5.2
(S12, S13, S14)

3/4

SPRING BREAK

3/11

NO MATH120 CLASS

ALEKS Catch-Up Day

5.3
Other Trig Functions
5.4
Right Triangle Trig

Group Work 5.3-5.4
(S13, S14, S15, S16)

ALEKS Checkpoint:
190 topics

 

Quiz 5: 5.1-5.4

3/18

6.1
Graphs of Sine and Cosine
6.2
Graphs of Other Trig Functions

Group Work 6.1-6.2
(E, S18, S19, S20, S21)

6.3
Inverse Trig Functions

Group Work 6.3
(S22)

3/25

ALEKS Checkpoint:
237 topics

 

Quiz 6: 6.1-6.3

Review Session

ALEKS Objective:
Full Pie for Trigonometric Functions

 

UNIT 3 EXAM

7.1
Trig Identities

4/1

Group Work 7.1
(S23, S24)

7.2
Sum and Difference Identities
7.3
Double-Angle and Half-Angle
(No Reduction Formulas)

Group Work 7.2-7.3
(S25, S26)

ALEKS Checkpoint:
258 topics

 

Quiz 7: 7.1-7.3

4/8

7.5
Solving Trig Equations

Group Work 7.5
(S27, S28)

7.6
Modeling with Trig Functions

NO CLASS
Spring Break Day

4/15

Group Work 7.6
(S29)

ALEKS Checkpoint:
278 topics

 

Quiz 8: 7.5-7.6

NO CLASS
Research Day

8.1
Law of Sines
8.2
Law of Cosines

 

Group Work 8.1 -8.2
(S30, S31)

4/22

ALEKS Checkpoint:
299 topics

 

Quiz 9: 8.1-8.2

Review Session

ALEKS Objective:
Full Pie for Trigonometric Identities and Equations

 

UNIT 4 EXAM

NO MATH120 CLASS

ALEKS Catch-Up Day

 

 

Final Exam: Wednesday, December 11, 10:30am.

 

 

 

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.

Reach out to the OASIS Advocacy Center for more information about your rights and resources.

 

Campus Resources

 

Student Support Resources

Two good places to help you find resources of all kinds on campus are TRIO Student Support and the Equity & Inclusive Excellence 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 Services 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.

If you or a friend experience gender-based violence (sexual assault, rape, dating/domestic violence, stalking, sexual harassment, harassment based on gender expression or nonconformity, stalking, cyber-stalking, etc.), the following people and organizations offer support and are not required to report to university officials. They will work with you to help you understand all your rights and options.

 

·         WSU Confidential Advocate: 507.457.2956

·         Advocacy Center of Winona Crisis Line: 507.452.4453

·         WSU Health, Counseling, and Wellness Services: 507.457.5160

 

Academic Student Resources

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!

·         On the Rochester campus, the UCR Learning Center provides help with both the development and the writing of papers.

·         On the Winona campus, 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 schedule a session online

·         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, May 2024, all rights reserved.



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