James Stewart, Lothar Redlin, Saleem Watson Precalculus: Mathematics for
Calculus, 4th ed.,. Brooke's/Cole Publishing Company. ISBN: 0534-38541-9.
Math 201-009-50 PreCalculus Ponderation: 3-2-3
Fall 2004 c:\(_files_)\academic\courses\math 201-009-50\course outline, 009-fall 2004.doc
Periods: 12-22-32-42-52
Johann Carl Friedrich Gauss
Instructor: Office:
Steve Hardy Room 334
Prerequisite:
Compulsory:
Textbook:
James Stewart, Lothar Redlin, Saleem Watson Brooke’s/Cole Publishing Company
General Objective:
At the end of this course, a student will have the necessary skills to follow Cegep level mathematics courses. The student will be able to analyze algebraic and transcendental functions.
Specific Objectives:
At the end of this course, a student will be able to: 1) understand and use standard mathematical notation correctly. 2) know the properties of algebraic and transcendental functions represented by its graph and/or by its graph 3) solve problems involving real valued functions and/or trigonometric ratios. 4) solve problems involving second degree relations representing conics. 5) solve geometric and trigonometric problems involving circles and right triangles.
Course Description:
The course will follow the lecture method with frequent problem solving interludes during which the teacher will be available for individual help.
Telephone: Email:
656-6921 (ext. 272)
[email protected]
Secondary IV Mathematics (Math 436) Precalculus: Mathematics for Calculus, 4th ed., ISBN: 0534-38541-9
Student should feel free and are welcome to ask questions at any point during the lecture.
Absences:
Attendance is mandatory and a maximum of 7 absences will be tolerated (explained and/or unexplained). More than the 7 absences may mean failure in the course.
Rules & Regulations:
St. Lawrence Campus has definite regulations concerning cheating, plagiarism and the quality of written English which are clearly indicated in the Student Handbook and the St. Lawrence Campus Prospectus. Students may be given a “0” on any work that involves cheating and plagiarism. It will be assumed that all students have read and understood these rules and regulations.
Evaluation: The evaluation of this course will verify that you have learned the following: 1) To use the appropriate concepts. 2) To represent situations through the use of functions. 3) To sketch adequate graphic representations of functions. 4) To manipulate algebraic expressions correctly. 5) To arrive at exact answers. 6) To arrive at correct interpretations of results. 7) To justify the steps you have taken in problem solving. 8) To use the appropriate terminology (notation). The final grade will be obtained through: Gifts: Regular "Gifts" (i.e. homework) will be given. Students will be expected to submit their "Gift" the following school day in a NEAT and LEGIBLE way at the beginning of class, LATE "Gifts" will not be accepted. Quizzes: Regular (weekly, ~10 minutes) quizzes will be given during the semester on the topic(s) covered during the week. A student missing a quiz will automatically be given the result “0” for that quiz. Tests: • There will be 3 class test during the semester which are compulsory. A student missing a test will automatically be given the result “0” for that test. • Students are responsible for knowing when a test will be given. Ignorance of a test date will not be considered a valid excuse. • In the event that the college closes or the teacher is absent on a scheduled Quiz/Test date, the Quiz or Test is moved to the next school day automatically. Final Exam:
There will be a three hours comprehensive final examination at the end of the semester.
Grading Scheme:
The final grade will be calculated as follows:
Gifts Quiz Test Final Exam Course Content:
Approximately 30-40 Approximately 10 3 @ 15% each
........... ........... ........... ...........
1. FUNDAMENTALS: a) Exponents and Radicals. b) Fractional Expressions and Equations. c) Inequalities. d) Coordinate Geometry. e) Graphical solution to inequalities and equations. f) Lines. 2. FUNCTIONS: a) Functions and their graphs. b) Increasing/decreasing functions. c) Extreme values of functions. d) Combining functions. 6. TRIGONOMETRIC FUNCTIONS OF ANGLES: a) Angle measures. b) Trigonometry of right angle. c) Trigonometric functions of angles. d) Law of sines. e) Law of cosines.
1
These topics will only be covered if time allows.
Final Grade 10% 10% 45% 35%
3. POLYNOMIALS & RATIONAL FUNCTIONS: a) Graphs. b) Dividing polynomials. c) Zeros/roots of polynomials. d) Rational functions and their graphs. e) Partial fractions. 1 4. EXPONENTIAL & LOGARITHMIC FUNCTIONS: a) Exponential Functions. b) Logarithmic Functions. c) Laws of logarithms. d) Exponential & logarithmic equations. 5. TRIGONOMETRIC FUNCTIONS: a) The unit circle. b) Trigonometric functions of real numbers. c) Trigonometric graphs. 7. APPLICATIONS: a) Trigonometric identities. b) Addition and subtraction formulas. c) Double angle, half-angle and product-sum formulas. d) Inverse trigonometric functions. e) Trigonometric equations.
