MTH 107 B Precalculus I

Instructor: Rafael S. González D'León
Email: dleon@math.miami.edu
Homepage: http://www.math.miami.edu/~dleon
Office: Ungar building, Room 317.
Office Hours: Thursday 9:30AM to 10:30AM or by appointment.

Course Coordinator: Dr. Leticia Oropesa
Phone: 305-284-2116
Office: Ungar building, Room 515F.
Office Hours: Monday, Wednesday and Thursday 2:00PM to 4:00PM, Tuesday 1:00PM to 3:00PM or by appointment.
Email: l.oropesa@math.miami.edu

Lectures

Monday, Wednesday and Friday 9:05AM-9:55AM MM 316.

Literature

PRECALCULUS: CONCEPTS THROUGH FUNCTIONS. 2nd edition SULLIVAN & SULLIVAN.

Prerrequisite

Minimum Math SAT score of 580 or ACT Math score of 25 or adequate score on the Mathematics Placement Exam or passing grade in MTH 101.

Description

This course covers topics in algebra, providing students with the fundamentals of precalculus. This course is intended for students who will eventually take Calculus. Not open to students with credit in MTH 105.

Topics

This course provides a concentration on functions and their applications, including function notation, finding the domain and range of functions, implicit functions, shifts of basic functions, operations on functions; graphs of linear functions, absolute value functions, polynomial functions, rational functions, exponential functions, and logarithmic functions; defining the inverse function and finding the inverse of one-to-one functions.

Required course materials

Students will be required to use MyMathLab in this course. Homework and other graded assignments will be completed in MyMathLab. For your convenience a MyMathLab access code has been bundled with the textbook and is available at the UM Bookstore.

Students will need to purchase one of the following:
  1. Text bundled with MyMathLab Access code: ISBN-10:0321704347
  2. MyMathLab Student Access Kit: ISBN-10: 032119991X
You may also purchase the MyMathLab access code on the MyMathLab website: www.coursecompass.com.

Your instructor will provide you with the course code for MyMathLab. Purchase of the textbook is optional since all of the textbook pages are included in the MyMathLab access.

Notebooks

Students are expected to keep an organized notebook for class notes and for homework. Although homework is submitted on-line and graded, it is extremely helpful to have the homework problems worked out in your notebook in order to refer to them when preparing for an exam.

Calculators Policy

A basic scientific calculator may be used in this course and will be useful in certain chapters of the text. Calculators that are programmable or have graphing or alphanumeric capabilities will NOT be permitted.

Examination and Grading

Final grades for the course will be based on a total of 750 points.

Tests and Assignments

There will be four 50-minute exams during the semester. Each exam will be worth 100 points, contributing 400 points to the total.

MTH 107 EXAM SCHEDULE - SPRING 2011
EXAM #1 - FRIDAY, FEBRUARY 11th
EXAM #2 - FRIDAY, MARCH 4th
EXAM #3 - FRIDAY, APRIL 1st
EXAM #4 - WEDNESDAY, APRIL 27th

Material to be covered on the exams will be announced in class.

Graded assignments will contribute 100 points to the total. These assignments will be posted in MyMathLab and are to be completed online.

Final

The final exam will be a comprehensive, open ended exam and will be worth 250 points. The final exam for MTH 107 has been scheduled Friday, MAY 6th, 2011 8:00 AM to 10:30 AM (location to be announced)

Makeup Policy

Any student who cannot take an exam on the specified date for a legitimate and documented reason must make arrangements with their instructor to take the exam prior to that date. No exams will be given after the specified test date.

Grading Scale

The grading scale is as follows:
ScoreGrade
690 - 750A
670 - 689A-
655 - 669B+
615 - 654B
595 - 614B-
580 - 594C+
540 - 579C
520 - 539C-
505 - 519D+
445 - 504D
444 and belowF

Bonus Points

Each student may earn up to 30 extra points by completing several assignments as determined by the individual instructor.

Attendance Policy

Attendance is required and will be recorded daily. Students will be allowed a total of 5 absences. For each absence over these five, 5 points will be deducted from the student's total points. Excessive tardiness will be treated similarly.

Honor Code

The Honor Code will appear on each exam. Students should consult the Undergraduate Bulletin for details of the Honor Code. Any infraction of the Honor Code will result in a grade of "F" for the course and a referral to the Dean of Students.

Supplemental Instruction

The Math Lab is located in Room 304 of the Ungar Building. Tutoring is available to all students enrolled in this course. Tutors are available at the Math Lab on a walk-in basis.
Individual tutoring for this course is also available through the Academic Resource Center’s Academic Support Program in room N-201 of the Whitten University Center.

Electronic Devices in the classroom

All electronic devices must be turned off in the classroom at all times. This includes cell phones, iPods, MP3 players, etc. The use of laptops may be allowed during certain classroom activities to be determined by the instructor.

Course Contents

CHAPTER 0: FOUNDATIONS - A PRELUDE TO FUNCTIONS (sections 1 - 4)

The rectangular coordinate system, distance and midpoint formulas; graphs of equations; lines and circles.

CHAPTER 1: FUNCTIONS AND THEIR GRAPHS (sections 1 - 7)

Definition of function; graphs of functions; graphing techniques; operations on functions; mathematical models using functions

CHAPTER 2: LINEAR AND QUADRATIC FUNCTIONS (sections 3 - 8)

Quadratic functions and models; equations and inequalities involving quadratic functions and the absolute value function.

CHAPTER 3: POLYNOMIAL AND RATIONAL FUNCTIONS (sections 1 - 6)

Polynomial functions and models; polynomial and rational inequalities; graphs of polynomial functions; Fundamental Theorem of Algebra; rational functions and their graphs

CHAPTER 4: EXPONENTIAL AND LOGARITHMIC FUNCTIONS (sections 1 - 8)

Composition of functions; inverse functions; exponential function and its properties; logarithmic function and its properties; solving exponential and logarithmic equation; applications

CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES (sections 1, 6, and 7)

Systems of linear equations; systems of nonlinear equations,; systems of inequalities

Schedule

This is an approximate schedule of the course:
DateSection
Wed 1/190.1
Fri 1/210.2,0.3
Mon 1/240.3,0.4
Wed 1/261.1
Fri 1/281.2
Mon 1/311.3
Wed 2/21.4
Fri 2/41.5
Mon 2/71.6
Wed 2/9Catch-up and review
Fri 2/11EXAM #1: 0.1 - 0.4, 1.1 - 1.5
Mon 2/141.7
Wed 2/162.3
Fri 2/182.4
Mon 2/212.5
Wed 2/232.6
Fri 2/242.7,2.8
Mon 2/283.1
Wed 3/2Catch-up and review
Fri 3/4EXAM #2: 1.6 - 1.7, 2.1 - 2.8
Mon 3/73.2
Wed 3/93.2,3.3
Fri 3/113.3
Mon 3/213.4
Wed 3/233.5
Fri 3/253.6
Mon 3/284.1
Wed 3/30Catch-up and review
Fri 4/1EXAM #3: 3.1 - 3.6
Mon 4/44.2
Wed 4/64.3
Fri 4/84.4
Mon 4/114.5
Wed 4/134.6
Fri 4/154.7
Mon 4/184.8
Wed 4/2010.1
Fri 4/22Catch-up and review
Mon 4/2510.6,10.7
Wed 4/27EXAM #4: 4.1 - 4.8, 10.1
Fri 4/29Review for the final