MATH 120-02 Pre-Calculus
Syllabus for Fall 2012

MF 9:00am – 9:50am in 326 Gildemeister Hall
W 9:00am – 10:50am 325 Gildemeister Hall

Instructor: Dr. Eric Errthum              Winona Email Username: eerrthum             Office: 124A Gildemeister Hall            Office Hours:  See homepage. Or by appointment on any day.

Text:         Precalculus by Stewart, Redlin, & Watson (6th Ed.)                  Calculator: Preferably a TI graphing calculator, at least some sort of scientific calculator

Course Website:     http://course1.winona.edu/eerrthum/math120

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. Topics will often be varied and loosely connected around the central ideas of 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.

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) Solve various algebraic, exponential, logarithmic, and trigonometric equations, (iii) Analyze and graph the basic behavior of functions, (iv) Use the correct mathematical tools and problem-solving skills.

Grading:  ALEKS Final Assessment                                          94 points---- 10.00%
                  Homework (scaled as needed)                                  111 points---- 11.81%
                  Quizzes (10 @ 15 points each, drop lowest)            135 points---- 14.36%
                  Midterms (4 @ 100 points)                                       400 points---- 42.55%
                  Final                                                                          200 points---- 21.28%
                                                                                                    --------------

                                                                                                     940 points total

Grades:  A = 90% (846 pts), B = 80% (752 pts), C = 70% (658 pts), D = 60% (564 pts)

ALEKS:         A significant portion of your grade will depend on your mastery of prerequisite material in the form of ALEKS assessments. You should have purchased an ALEKS access code from the WSU bookstore. The first time you log in, you will be forced to take an initial assessment. NO CALCULATORS ALLOWED during ALEKS (unless it provides one for you on screen). You must complete the initial assessment by Friday, August 31st. After that, ALEKS will help you review topics in which you need improvement. The Final Assessment for ALEKS will be on Wednesday, September 19th (during classtime) in the Library. Make sure to bring your laptop to class on that day. The course code for this class is KLCCC-4THRX. See the ALEKS handout for more information.

Homework:    Homework will be assigned daily, even if not specifically mentioned in class (see list of problems in the schedule below). About once a week we will have a “Homework Session” on the corresponding material. During a Homework Session, students will be randomly selected to put solutions to assigned problems on the board. The grading rubric will be as follows:

·         If the student has a solution to their given problem, they get 4 points, even if what they write on the board is wrong. However, they must write a solution that can be followed without explanation, not just the answer. In essence, all the student has to do is copy down the solution they've already worked out in their homework to the board.

·         If the student doesn't have the problem given to them, they can put up any other problem from that week that hasn't already gone up on the board for 3 points.

·         If the student is present but unprepared, they get 1 point.

·         If the student is absent, they get 0 points.

If one question gets passed on by 3 students in a row, a volunteer will be asked to put up the solution. This student will be awarded 5 points. The entire homework portion of your grade is based on these sessions.

Quizzes:    The class period after the Homework Session will start with a quiz over that material. Each quiz will count for 15 points and the lowest quiz score will be dropped from your grade.

Exams:     There will be four in-class exams and one comprehensive final exam, see schedule below. The final exam is Tuesday, December 11 at 8:00am.

Extra Credit: Frequently quizzes and exams will contain bonus problems where students will have the chance to earn extra credit points.

Technology:   Graphing calculators are highly recommended, preferably a Texas Instrument. Some exams and quizzes will allow the use of calculators, and some will not. 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.

Resources:      The Mathematics Achievement Center (MAC) is located in 313 Tau Center on West Campus and offers free tutoring. More information available at: The MAC Website.

Desire2Learn:            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 120

(subject to change)

 

Week

Monday

Wednesday (First Hour)

Wednesday (Second Hour)

Friday

8/27

Introductions
ALEKS Set-up

Review Chapters 1 & 2

3.1
Quadratic Functions and Models
HW (3.1): 10, 14, 20, 44, 48

ALEKS Initial Assessment Due
3.2
Polynomial Functions and Their Graphs
HW (3.2): 16, 18, 20, 22, 24, 26, 30, 32

9/3

No Class
(Labor Day)

Homework Session

3.3
Dividing Polynomials

HW (3.3): 4, 8, 10, 14, 16, 20, 26, 30, 60, 64

Quiz (3.1 – 3.2)
3.4
Real Zeros of Polynomials
HW (3.4): 6, 10, 12, 16, 18, 22, 30, 50, 54, 58, 62

9/10

3.5
Complex Numbers
HW (3.5): 16, 20, 26, 34, 40, 46, 62, 68

Homework Session

3.6
The Fundamental Theorem of Algebra
HW (3.6): 6, 10, 14, 38, 42, 46, 50

Quiz (3.3 – 3.5)
3.7
Rational Functions
HW (3.7): 12, 16, 24, 28, 44, 48, 54, 66, 68

9/17

Homework Session

Quiz (3.6 – 3.7)

BRING YOUR LAPTOPS!

ALEKS Final Assessment in Library (2nd Floor, East Wing)

Review/Homework Session

9/24

EXAM I
(Chapter 3)

4.1, 4.2
Exponential Functions
The Natural Exponential Function
HW (4.1): 20, 22, 28, 34, 36
HW (4.2): 8, 12, 14

4.3
Logarithmic Functions
HW (4.3): 8, 10, 12, 16, 18, 22, 28, 30, 32, 34, 56, 60, 66

Homework Session

10/1

Quiz (4.1 – 4.3)
4.4
Laws of Logarithms
HW (4.4): 8, 12, 14, 24, 28, 32, 36, 42, 44, 46, 48, 50, 58, 62, 66

4.5
Exponential and Logarithmic Equations
HW (4.5): 6, 8, 18, 22, 24, 26, 30, 36, 42, 46, 48, 50, 58

4.6
Modeling with Exponential
and Logarithmic Functions
HW (4.6): 2, 6, 12, 26

Homework Session

10/8

Quiz (4.4 – 4.6)
12.1
Sequence and Summation Notation

12.1, cont
HW (12.1): 4, 8, 10, 14, 16, 26, 32, 34, 38, 40, 44, 48, 58, 62, 66

12.2
Arithmetic Sequences
HW (12.2): 6, 8, 10, 16, 18, 30, 32, 38, 40, 46, 50, 54, 60

12.3
Geometric Sequences
HW (12.3): 6, 10, 16, 18, 30, 34, 38, 42, 44, 48, 54, 56, 62, 64

10/15

Homework Session

Quiz (12.1 – 12.3)

Review/Homework Session

EXAM II
(Chapter 4 & 12)

10/22

5.1 & 6.1
Unit Circle and Angle Measure
HW (5.1): 10, 14, 26, 28, 30, 42, 44
HW (6.1): 4, 10, 16, 23, 30, 36, 42, 46

6.2, 5.2, 6.3
Right Triangles and Trig Functions
HW (6.2): 4, 8, 10, 14, 18, 20, 22, 34, 36, 44
HW (5.2): 6, 10, 12, 18, 34, 36, 66, 68
HW (6.3): 20, 26, 34, 40, 42, 48

5.3
Trig Graphs
HW (5.3): 6, 8, 14, 24, 28, 36, 40, 44, 46, 48, 50

Homework Session

10/29

Quiz (5.1 – 5.3, 6.1 – 6.3)

 

5.5 & 6.4
Inverse Trig Functions
HW (5.5): 4, 6, 28, 42
HW (6.4): 4, 16, 28, 30, 32, 34, 36

6.5
Law of Sines
HW (6.5): 10, 14, 20, 36

6.6
Law Cosines
HW (6.6): 8, 10, 14, 16, 22, 28, 44, 50

5.4, 5.6
More Trig Graphs
Modeling Harmonic Motion
HW (5.4): None
HW (5.6): 8, 14, 18, 30, 38

11/5

 

Homework Session

 

Quiz (5.5 – 5.6 , 6.4 – 6.6)

Review/Homework Session

EXAM III
(Chapters 5 & 6)

11/12

No Class
(Veteran’s Day)

8.1
Polar Points
HW (8.1): 28, 30, 32, 38, 40, 48, 54, 58, 64

7.1 Trig Identities
HW (7.1): 18, 20, 34, 38, 40, 46, 52, 66

8.3: Modified From Text: Read This pdf
Complex Numbers in Polar Form
Euler’s Formula
Roots of Complex Numbers
DeMoivre’s Theorem
HW: All the exercises at the end of pdf document.

11/19

Homework Session

No Class
(Thanksgiving)

11/26

Quiz (7.1, 8.1, 8.3)

7.2 & 7.3
Addition and Subtraction Formulas
Double-Angle and Half-Angle Formulas
HW (7.2): 6, 12, 14, 26, 32, 36, 40, 44, 50

HW (7.3): 4, 8, 20, 24, 32, 38, 42, 46, 48, 52, 74, 76

7.4
Basic Trig Equations
HW (7.4): 6, 14, 20, 32, 38, 40, 42

7.5
More Trig Equations

HW (7.5): 4, 10, 20, 24, 48

Homework Session

12/3

Quiz (7.2 – 7.5)
Review/Homework Day

EXAM IV
(Chapters 7 & 8)

Final Review

Final Review, cont.

 

 

Final Exam: Tuesday, December 11, 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!

 

 

This course can be used to satisfy the University Studies requirements for Basic Skills in Mathematics.  This course includes requirements and learning activities that promote students’ abilities to…

a.         use logical reasoning by studying mathematical patterns and relationships;

Math 120 includes functional notation and identifies and uses the combination of functions, such as sums, products and compositions. Formulas are written that involve variation.

Understanding the relation between exponential and logarithmic functions and the simplification of expressions using the trigonometric identities are covered.

 

b.         use mathematical models to describe real-world phenomena and to solve real-world problems - as well as understand the limitations of models in making predictions and drawing conclusions;

Linear models for bivariate functions, exponential models for growth or decay, and periodic models with trigonometric functions are differentiated, studied and used. Properties of trigonometric quantities are examined by the use of the unit circle.  

 

c.         organize data, communicate the essential features of the data, and interpret the data in a meaningful way;

The domain and range of a function are found and functional notation is used to show the relation between variables. The average rate of change is calculated from a graph, a function or a table.

 

d.         express the relationships illustrated in graphical displays and tables clearly and correctly in words;

The student is able to express solution sets correctly with a number line graph by using interval notation and inequalities. Students identify and express the characteristics of the graphs of powers, polynomials, rational functions, exponential, and trigonometric functions.

This includes increasing/ decreasing intervals, curvature, local optima, long-term behavior of functions when given a function, a formula, or a graph.  Explanations of how transformations change the characteristics of a function and graphing the transformed function are done.

 

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 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. 

 

Winona Campus Resources

·         Student Support Services, Krueger Library 219, 457-5465 (www.winona.edu/studentsupportservices/)

·         Inclusion and Diversity Office, Kryzsko Commons Room 236, 457-5595 (www.winona.edu/inclusion-diversity/)

·         Access Services (formerly Disability Services), Maxwell 314, 457-5878 (www.winona.edu/disabilityservices/)

·         Counseling and Wellness Services, Integrated Wellness Complex 222, 457-5330 (www.winona.edu/counselingcenter/)

·         GLBTA Advocate, contact Counseling and Wellness Services for name and number of the current  Advocate

·         Tutoring Services, Krueger Library 220, 457-5680 (http://www.winona.edu/tutoring/) 

·         Writing Center, Minné Hall 348, 457-5505 (www.winona.edu/writingcenter/)

·         Math Achievement Center, Tau 313, 457-5370 (http://www.winona.edu/mathematics/mac/)

·         Advising Services – Warrior Success Center, Maxwell 314, 457-5878 (www.winona.edu/advising/)

 

Details about Campus Resources

·         Two good places to help you find resources of all kinds on campus are Student Support Services and the Inclusion and Diversity Office. Both offices are dedicated to helping students of all races, ethnicities, economic backgrounds, nationalities, and sexual orientations. They can facilitate tutoring and point you to a wide range of resources. 

·         If you have a disability, the Access Services office can document it for your professors and facilitate accommodations. If you have a documented disability that requires accommodation, please let me know as soon as possible. If you suspect you may have a disability, please visit Access Services as soon as possible.

·         College can be very stressful.  The Counseling and Wellness Services office is 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. 

·         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 the Library (220) or go on-line and use TutorTrac to schedule a session.

   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.

   For help specifically with understanding math concepts and solving math problems, the Math Achievement Center (MAC) is staffed with friendly undergraduate tutors who will help you work through difficult material.  The MAC is located in Tau 313 and provides free tutoring for all students in math, statistics, or math education courses.  The center is open Mon-Fri, and Sunday evening. 

·         The GLBTA Advocate can direct people to GLBT resources on and off campus. In addition, the advocate is responsible for documenting homophobic and transphobic incidents on campus and working with the appropriate channels to get these incidents resolved.

 

The Standard Disclaimer applies.