Math 105: Precalculus
Fall 2019, Section 01, CRN 957

Schedule: MWF 11:00 - 11:50
Location: Fitzelle Hall 207
Text: Precalculus, by Sullivan (10th edition). We will be covering most of Chapters 2, 4, 5, 6, and 7 as well as Section 3.1

Professor: Jonathan Brown
Office: Fitzelle 260
Email: jonathan.brown@oneonta.edu
Phone: 436-3720
Office Hours: Thursday 11:00-11:50, Friday 12:00-12:50, 2:00-2:50 or by appointment

Catalog Description:
A careful study of elementary functions with emphasis on their graphical properties. Particular functions treated include polynomials and rational functions, exponential and logarithmic functions, trigonometric and inverse trigonometric functions. Prepares students for MATH 173.

Course Goals and Objectives:
Math 105 prepares students for Calculus. The main goal of this course is to familiarize the students with the graphs, properties, and algebraic manipulations of elementary functions.

Course content:
Graphs of functions and equations; Linear, quadratic, polynomial, rational, exponential and logarithmic functions; An extensive study of trigonometric functions.

SUNY Learning Outcomes:
Students will show competence in the following quantitative reasoning skills: arithmetic, algebra, geometry, data analysis, and quantitative reasoning.

Learning Outcome 1: Students will demonstrate the ability to interpret and draw inferences from mathematical models such as formulas, graphs, tables, and schematics.

Learning Outcome 2: Students will demonstrate the ability to represent mathematical information symbolically, visually, numerically, and verbally.

Learning Outcome 3: Students will demonstrate the ability to employ quantitative methods such as arithmetic, algebra,geometry, or statistics to solve problems.

Learning Outcome 4: Students will demonstrate the ability to estimate and check mathematical results for reasonableness.

Learning Outcome 5: Students will demonstrate the ability to recognize the limits of mathematical and statistical methods.

Grades:
Class Participation: 5%
Homework: 10%
Quizzes: 15%
3 in class exams: 15% each
Final: 25%

Your letter grade will be determined from the following heuristic:
A : 93 - 100
A-: 90 - 92.99
B+: 87 - 89.99
B : 83 - 86.99
B-: 80 - 82.99
C+: 77 - 79.99
C :73 - 76.99
C-: 70 - 72.99
D+: 67 - 69.99
D : 63 - 66.99
D-: 60 - 62.99
E : 0 - 59.99

Quizzes: There will be a quiz during the last 10 minutes of class on most Fridays.

Homework: Each week I will assign two types of homework in the course: practice problems from the text, and WeBWork problems.

For the WeBWork problems, you will provide answers on the WeBWork website, and your work will be automatically graded. The WebWork website for this course is at https://webwork.oneonta.edu/webwork2/105-01-f19/.
Your login id for WeBWork is your oneonta.edu username with all lowercase letters, that is the part of your email address before the '@' sign.
Your initial password is your student id, ie your 'A-number' (with a capital 'A'). For example, if your A-number is a-01234567, then your password is A-01234567. You probably should change your password to something more secure.

The practice problems will be from the text, and they will not be collected or graded. The list of practice problems can be found below. Note that the odd numbered problems have answers in the back of the book. I don't expect you to do all of the assigned problems, instead do problems from each subsection until you are completely confident that you can do the rest with little effort, accounting for the fact that the later problems are usually harder. It is essential that you do these problems in addition to the WeBWork problems. Learning, development, and growth require time and sustained effort. Most of the knowledge and skills you obtain from this course will come from the time you spend with these problems. Furthermore the quiz problems will often closely resemble (or even be copied from) the problems from the text.

Tentative Exam Schedule:
Exam 1: 9/23
Exam 2: 10/21
Exam 3: 11/25

Final Exam Schedule:
Wednesday December 11, 11:00am-1:30pm

Calculators: While calculators may occasionally be useful while doing the homework, they are not allowed to be used during quizzes and exams (unless you have a note from Student Disability Services).

Attendance Policy: Missing class is a very bad idea. Anyone who misses more than 25% of classes starting in week 2 may be removed from the course.

Getting Help
You are expected to spend anywhere between 6 and 12 hours per week outside of class on the material. The amount of time necessary to pass, or obtain the grade you expect, depends heavily from person to person. Typically, a student spending less than 6 hours per week outside the class should expect to earn a "C" or worse.

If you are struggling with the material, be aware that you have options:
(1) Struggle a bit. Part of the learning process is the internal struggle of trying to understand how all of the pieces fit together. It can be frustrating, but it can also be rewarding. If you make progress, however slow, then it is time well spent. If you feel that your time is not productive, then you should talk to me, or other students, about how you can make better use of your study time.
(2) Visit my office hours. It is part of my job to be available to help you understand the material. There is not enough time in the classroom to get everything across, and you are not expected to do it all on your own.
(3) Find alternate instructional material online. Different people have different styles, and while you might have found my way of discussing something to be confusing, there may be someone else out there who can discuss it in a away that makes sense to you. There are a number of free text books, lessons, and video lectures available online. Feel free to ask me about other sources.
(4) Visit the tutors in CADE. They have drop in tutoring for this course 3 nights a week.
(5) Talk to your fellow students who are taking or who have taken the class. Learning is a social activity; you are not expected to do it all on your own.
(6) If after availing yourself of the above options, you still find that you are struggling regularly to understand the material, find a regular tutor. If you are in this situation, you will likely have to spend significant extra time on the material to ensure a passing grade.

ADA (American with Disabilities Act) Statement:
Students Diagnosed with a Disability-All individuals who are diagnosed with a disability are protected under the Americans with Disabilities Act, and Section 504 of the Rehabilitation Act of 1973. As such, you may be entitled to certain accommodations within this class. If you are diagnosed with a disability, please make an appointment to meet with Accessibility Resources, 133 Milne Library, ext. 2137. All students with the necessary supporting documentation will be provided appropriate accommodations as determined by the Accessibility Resources Office. It is your responsibility to contact Accessibility Resources and concurrently supply me with your accommodation plan, which will inform me exactly what accommodations you are entitled to. You will only receive accommodations once you provide me with an Accessibility Resources accommodation plan. Any previously recorded grades will not be changed.

Emergency Evacuation Procedures:
In the event of an emergency evacuation, classes meeting in this building are directed to reassemble in the IRC Lobby so that all persons can be accounted for. All students are also encouraged to register for NY Alert at http://www.oneonta.edu/security for immediate notification of campus emergencies on or near the campus.

Tentative Schedule. Sections may be removed/added as time allows.
Date Section Topic Suggested Textbook Problems
8/26
8/28
2.1 Functions #15-73 every other odd
8/30 2.2 The Graph of a Function #9-27 odd
9/4 2.3 Properties of Functions #21-47 odd
9/6 2.4 Library of Functions; Piecewise-defined Functions #9-45 every other odd
9/9
9/11
2.5 Graphing Techniques: Transformations #7-65 every other odd
9/13 3.1 Linear Functions and Their Properties #13-39 odd
9/16 4.1 Polynomial Functions and Models #15-93 every other odd
9/18 4.2 Properties of Rational Functions #13-53 odd
9/20
9/25
4.3 The Graph of a Rational Function #7-47 odd
9/23 Exam 1 (tentative)
9/27 4.4 Polynomial and Rational Inequalities #19-59 odd
9/30 4.5 The Real Zeros of a Polynomial Function #21-75 every other odd
10/2 5.1 Composite Functions #7-57 every other odd
10/4
10/7
5.2 One-to-one Functions; Inverse Functions #19-87 every other odd
10/9
10/11
5.3 Exponential Functions #15-115 every other odd
10/16
10/18
5.4 Logarithmic Functions #9-125 every other odd
10/21 Exam 2 (tentative)
10/23 5.5 Properties of Logarithms #13-85 every other odd
10/25 5.6 Logarithmic and Exponential Equations #5-59 every other odd
10/28 5.7 Financial Models #7-53 every other odd
10/30
11/1
6.1 Angles and Their Measure #11-113 every other odd
11/4
11/6
6.2 Trigonometric Functions: Unit Circle Approach #13-105 every other odd
11/8
11/11
6.3 Properties of Trigonometric Functions #11-117 every other odd
11/13 6.4 Graphs of the Sine and Cosine Functions #9-75 every other odd
11/15 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions #7-49 every other odd
11/18 7.1 The Inverse Sine, Cosine, and Tangent Functions #13-76 every other odd
11/20 7.2 The Inverse Trigonometric Functions (continued) #9-65 every other odd
11/22 7.3 Trigonometric Equations #11-79 every other odd
11/25 Exam 3 (tentative)
12/2 7.4 Trigonometric Identities #9-97 every other odd
12/4 7.5 Sum and Difference Formulas #11-95 every other odd
12/6 7.6 Double-angle and Half-angle formulas #7-77 every other odd
12/9 Review