Academic DivisionBusiness and Social Sciences (x4291/4237)Health Sciences (x4341)Liberal Arts and Humanities (x4290)Mathematics and Natural Sciences (x4210) / SemesterFall 2013-14Spring 2013-14Fall 2014-15Spring 2014-15Fall 2015-16Spring 2015-16Fall 2016-17Spring 2016-17Fall 2017-18Spring 2017-18Fall 2018-19Spring 2018-19
MAT 1206 / Precalculus / 4 crs
Day & Time: / daily / Room: / 4
Gen Ed Learning Outcome: / Not Applicable#1 Mathematics#2 Natural Sciences#3 Social Sciences#4 American History#5 Western Civilization#7 Humanities#8 The Arts#6 Other World Civilizations#9 Foreign Language# 10 Basic Communication / #1 Mathematics/ #2 Natural Sciences/ #3 Social Sciences/ #4 American History/ #5 Western Civilization/ # 6 Other World Civilizations/ #7 Humanities/ # 8 The Arts/ #9 Foreign Language/ #10 Basic Communication ß(for 2nd Gen Ed Outcome)
Pre/Co-requisite / MAT 1003, MAT 1205, or Regents Math through Course III or Math B
Instructor: / Zub
Phone: / 845-456-1100 ext. 5387 / Office:
Office Hours:
E-mail: /
Official Catalog Course Description:
This course is intended to form a bridge between the static concepts of algebra and geometry and the dynamic concepts of the calculus. Topics include basic algebraic, trigonometric, exponential, and logarithmic functions; functional inverses; graphs; complex numbers; systems of equations; introductory matrix algebra; the binomial theorem; and proof by mathematical induction. Prerequisite: MAT 1003 College Mathematics II, or MAT 1205 Intermediate Algebra and Trigonometry, or three years of NYS Regents level mathematics.
Measurable Student Learning Outcomes:
GE1. Students will demonstrate the ability to interpret and draw inferences from mathematical models such as formulas, graphs, tables, and schematics.
GE2. Students will demonstrate the ability to represent mathematical information symbolically, visually, numerically and verbally.
GE3. Students will demonstrate the ability to employ quantitative methods such as arithmetic, algebra, geometry or statistics to solve problems.
GE4. Students will demonstrate the ability to estimate and check mathematical results for reasonableness.
GE5. Students will demonstrate the ability to recognize the limits of mathematical and statistical methods.
1. Define mathematical terms and use those definitions to explain solutions to problems.
2. Distinguish between increasing, decreasing, and constant functions; distinguish between even and odd functions; sketch the graphs of basic algebraic functions; find and prove a functional inverse.
3. Evaluate, manipulate, graph, and interpret the characteristics of polynomial, rational, exponential, and logarithmic functions using various arithmetic and algebraic techniques.
4. Perform the basic arithmetic operations with complex numbers.
5. Perform long division and synthetic division on polynomials.
6. Solve problems using trigonometry.
7. Graph the basic trigonometric functions.
8. Solve systems of equations in three variables.
9. Calculate the determinant of a square matrix.
10. Solve systems of equations in two variables using Cramer's Rule.
11. Expand binomials using Pascal's Triangle.
12. Solve application problems and check the results for reasonableness.
13. Analyze and interpret data by completing a project related to precalculus.
14. Use a graphing calculator to solve problems and graph functions.
Required Text, Software, and Materials:
Precalculus Functions and Graphs: A Graphing Approach, ISBN#: 978-0-618-85150-8. Microsoft Word. A graphing calculator is required. The TI-83 Plus is recommended.
Course Requirement and Grading:
Precalculus is a four credit college course and students are expected to exhibit behavior and study skills worthy of such a class. There will be weekly exams, quizzes both announced and unannounced, a midterm, a final, and one project. Homework will be assigned nightly and it is expected that you will complete each assignment prior to the next class meeting. Participation is a mandatory component of this class. Your averaged will be calculated using the points system…total points earned/total points possible. No late assignments will be accepted. There will be five exams worth 100 points each, a final worth 100 points each, and several quizzes which together will total 100 points. There will also be one project worth 100 points. There will be a total of 800 points
Final grades will be calculated as follows:
90-100 = A 80-89 = B 70-79 = C 60-69 = D below 60 = F
Attendance Policy:
Attendance is mandatory every day school is in session. The instructor may dismiss from his/her class with a grade of “W” any student who has missed the equivalent of 10 days of instruction. Every two lates or early dismissals from class will be considered one absence. There is no category of “excused absence” which means that any time students are not present for any reason they are documented as “absent.” If a student has reached 10 absences and any are considered “school related” the principal may review these with the student to make a determination of the loss of credit.
ANGEL Course Management System (CMS):
Additional course information that is common to all courses and specific to this course is found in the Course Information Folder located in the Learning Modules Tab. Log in to ANGEL at http://sullivan.sln.suny.edu
Additional Information:
Cheating on an exam, quiz or a project will result in an automatic failure of that exam, quiz or project.
Outline of Topics:
Chapter 1: Function Concepts, Combinations of Functions, Reading Graphs of Functions, Finding and Proving Inverse Functions
Chapter 2: Quadratic Functions, Polynomial Functions of Higher Degree, Complex Numbers, Rational Functions
Chapter 3: Exponential and Logarithmic Functions, Properties of Logarithms, Exponential and Logarithmic Applications
Chapter 4: Radian and Degree Measure, Trigonometric Functions, Graphs of Trigonometric Functions, Right Triangle Trigonometry, Inverse Trigonometric Functions
Chapter 7: Solving Systems of Equations in Three Variables, Determinants, Cramer's Rule
Chapter 8: Binomial Theorem