Precalculus      MTH 140

Text: Precalculus                                                                     Author: Bittenger

ISBN-13:  978-0-321-50152-3                                               ISBN-10:   0-321-50152-3

Instructor: Jerome Krakowiak                                                 Office: JM 208A
E-mail: krakowijerome@jccmi.edu                                     Telephone: 796-8578

Web Page:  http://personal.jccmi.edu/KrakowiJerome/

Course Description:

Major emphasis is on the concept of functions. Study polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions, their properties, graphs, and related equations and applications. Additional topics include systems of equations, matrices, conic sections, sequences and series, and probability. A graphing calculator is required and used extensively. Prerequisite: MTH 131

Core Course Objectives:

1.         Simplify polynomial, radical, and rational expressions, and algebraic expressions involving radicals, integer exponents, rational exponents, trigonometric functions, combinations, permutations, factorials, series, sequences, and matrices using appropriate algebraic skills, and logarithmic processes. (ADO 3.2)

2.         Use appropriate algebraic processes to solve:

            •           linear, absolute value, quadratic, radical, rational, exponential, and logarithmic

                        equations.

            •           linear, absolute value, polynomial, and rational inequalities.

            •           linear and non-linear systems of equations.

            •           trigonometric and inverse trigonometric equations   (ADO 3.2)

3.         Manipulate and identify functions graphically, symbolically, and numerically.  (ADO 2)

4.         Solve application problems involving many different subject areas using algebraic

            processes, counting technologies, and the binomial theorem.            (ADO 4)

5.         Apply fundamentals of right triangle trigonometry and solve applications problems. 

(ADO 3.2)

6.         Use appropriate technology (such as the graphing calculator) to enhance the understanding

            of the previously stated objectives.  (ADO 7)

7.         Have an awareness of the historical background of topics covered in the course.  (ADO 15)

Associate Degree Outcomes:

ADO 2. The ability to comprehend and use information including written and oral forms
ADO 3 Computational skills and understanding appropriate to the program of study
ADO 4. Critical thinking and problem-solving
ADO 7  Facility in the use of computers and other technologies appropriate to the program of study

ADO 15  An historical perspective

Instructional Techniques and Procedures

This course usually consists of mostly lecture, group work and classroom demonstrations using the graphing calculator (TI83) and an Introduction to Maple (a Computer Algebra System)

Grading Policy:

Tests:                                      60%

Final Exam:                             20%

Quizzes & Assignments:          20%

Incompletes will be assigned only if proper documentation is provided and the course is being passed after the last day of drops.

Class Exams:

There are four regularly scheduled exams during the semester, covering the material since the beginning of the semester.  The exams will emphasize the material since the last exam, however due to the cumulative nature of the material the exams include all prior topics.  Each exam is closed book.  One page of handwritten notes is allowed.  The exams account for 60% of your total grade.  Missed exams must be made up prior to the next regularly scheduled class.  If you fail to make up the missed exam, the first missed exam score will be recorded as 75% of your final exam score.  All other missed exams will be recorded as 0.

Final Exam: 

There is a cumulative final exam accounting for 20% of your grade.

Assignments and Quizzes:

There will be regular homework assignments given covering the topics presented in the course. Late assignments will not be accepted.  Quizzes will be given regularly during the semester. If you miss a quiz it can not be made up.

Class Structure:

Class will consist of lectures, demonstrations (instructor and student), and group work.  At the start of class you will have an opportunity to ask questions regarding current assignments, lectures, or projects.

Success is achieved by regular practice of problems from the text and by seeing me as soon as you feel uncomfortable with the material.