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BLACK HILLS STATE UNIVERSITY Department of Mathematics COURSE SYLLABUS Semester and Year: Fall 2009 Course Meeting Time and Location: 2-2:50, Mon-Fri, Jonas Room 168 Course Prefix, Number and Title: Math 115 Pre-Calculus, Credits 5.0 Instructor: Dr. Daniel Swenson Office: Jonas 161 Office Hours: MWF 9-9:50, Tuesday 3-3:50 E-mail: [email protected] Telephone: (605)-642-6425 Course Text: Mark Dugopolski, Fundamentals of Precalculus, 2nd Edition, Pearson (Addison Wesley) Course Description: (Catalogue) A preparatory course for the calculus sequence. Topics include: polynomial, rational, exponential, logarithmic and trigonometric functions and their graphs; systems of equations, inequalities and complex numbers. (In addition), this course includes introduction to series and sequences with emphasis on arithmetic and geometric sequences, and conic sections. Prerequisites and/or Instructor's Assumptions: The instructor assumes all students possess algebra skills at the intermediate algebra level, and that this has been demonstrated by either successful completion of an intermediate algebra course, or placement test results at the college algebra level. If a student has not taken the placement exam, which placed the student in college algebra, and/or taken intermediate algebra at BHSU, it is the student’s responsibility to inform their instructor within the first week of class. Failure to do so will be construed as misrepresentation of information to the instructor and will fall within the guidelines as set forth by the BHSU statement of student responsibilities, rights, and freedoms in the Student Handbook. Instructional Methods: Lecture and class discussions. Calculator Policy: The Black Hills State University Mathematics Department REQUIRES students to purchase, rent, or borrow a graphics calculator, TI-82 or 83 will suffice. Attendance Policy: By university policy, enrollment in a class implies the responsibility for attending each class session. Students will be allowed to make up graded work if an absence is due to participation in university-sponsored activities, provided prior notification of the impending absence has been given to the instructor. Cheating and Plagiarism Policy: A student who, in connection with his or her studies, disrupts a class, plagiarizes, cheats, or otherwise violates reasonable standards of academic behavior may, at the discretion of the faculty member involved, have his or her enrollment canceled and/or be given a reduced or failing grade. In this course you are expected to perform to the utmost of your abilities in an honest and sincere manner. Cheating & plagiarism will not be tolerated. Academic misconduct will be dealt with per BOR regulations. Test Makeup Policy: Except in the case of a documented emergency, or an absence caused by a university-sponsored activity, NO MAKEUP TESTS ARE ALLOWED. Also, except in the case of a documented emergency, or an absence caused by a universitysponsored activity, NO MAKEUP OR LATE HOMEWORKS ARE ALLOWED. The burden of proof regarding the absence rests with the student. Students that were absent with a documented emergency or a documented university sponsored activity must see their individual instructor to make arrangements for taking a makeup examination. Goals and Objectives of the Course: To prepare students for subsequent courses in calculus. This course meets the requirements for the Board of Regents General Education Goal #5. General Education Goal #5: Students will understand and apply fundamental mathematical processes and reasoning. Student Learning Outcome 1: Use mathematical symbols and mathematical structure to model and solve real world problems. Students will identify, discuss the merits of and use appropriate models to explain real world mathematical concepts and principles related to polynomials, exponential functions, logarithmic functions and trigonometric functions on exams and on classroom activities. Students will demonstrate appropriate levels of reasoning skills to use mathematical models to solve real world problems at the college algebra level on exams and on classroom activities. Student Learning Outcome 2: Demonstrate appropriate communication skills related to mathematical terms and concepts. Students will identify and contrast important differences between functions and relations on exams and on classroom activities. Students will determine the domain and range of given functions on exams and on classroom activities. Students will solve for zeros, intersections and local extremes of polynomial functions on exams and on classroom activities. Students will demonstrate key operations involving exponential, logarithmic and trigonometric functions on exams and on classroom activities. Students will demonstrate a basic understanding of sequences and series on exams and on classroom activities. Student Learning Outcome 3: Demonstrate the correct use of quantifiable measurements of real world situations. Students will recognize inverse functions and the importance of inverse functions in solving everyday problems on exams and on classroom activities. Students will identify, practice and use-problem solving skills appropriate to the pre-calculus level math on exams and on classroom activities. Related Technology Outcomes: Students will use graphing calculators to graph mathematical equations related to lines, parabolas, circles, polynomials and rational functions on exams and on classroom activities. Students will use calculators to solve problems related to logarithmic, exponential functions and trigonometric functions on exams and on classroom activities. Students will use graphing calculators to solve problems of appropriate complexity on exams and on classroom activities. Student Evaluation Procedures: Final grades will be based on the results of four unit examinations (15% each), homework (15%), and a comprehensive final examination (25%). Grading will be by letter grades as follows: 90-100=>A; 80-89=>B; 70-79=>C; 60-69=>D; 0-59=>F Unit Outline: Unit I: Functions and Graphs - Linear and Quadratic Functions (Chapter 1). Unit II: Polynomial and Rational Functions (Chapters 2). Unit III: Trigonometric Functions (Chapter 3). Unit IV: Exponential and Logarithmic Functions (Chapter 4). ADA Statement “Reasonable accommodations, as arranged through the Disabilities Services Coordinator, will be provided students with documented disabilities. Contact the BHSU Disabilities Services Coordinator at 642-6099 (room 022 in the Student Union) for more information.” Academic Freedom and Responsibility “Under Board of Regents and University policy student academic performance may be evaluated solely on an academic basis, not on opinions or conduct in matters unrelated to academic standards. Students should be free to take reasoned exception to the data or views offered in any course of study and to reserve judgment about matters of opinion, but they are responsible for learning the content of any course of study for which they are enrolled. Students who believe that an academic evaluation reflects prejudiced or capricious consideration of student opinions or conduct unrelated to academic standards should contact the chair of the department in which the course is being taught to initiate a review of the evaluation.” Tentative Schedule: Week 1: Introduction to Real Numbers, inequalities, and equations of graphs. Week 2: Introduction to Linear equations in two variables, functions, graphs of relations and functions, Week 3: Transformation and symmetry, operations with functions and inverse functions. Week 4: Exam #1 (September 23rd (Tentatively)), Quadratic functions, complex numbers, zeros of polynomials. Week 5: Theory of equations, and miscellaneous equations, graph of polynomial equations. Week 6: Graph of polynomial equations and Rational Functions and Inequalities Week 7: Exam #2(October 14th (Tentatively)), Introduction to angles and their measurement, sine and cosine functions.. Week 8: Graph of sine and cosine functions, introduction to other trigonometric functions and their graphs, and inverse trigonometric functions. Week 9: Right triangle trigonometry, Trigonometric identities and Conditional trigonometric equations. Week 10: Conditional trigonometric equations (continued) and Law of sines and cosines. Week 11: Exam #3 (November 10th (Tentatively)), Exponential functions and their applications. Week 12: Logarithmic functions and their applications. Week 13: Rules of Logarithm. Week 14: Rules of Logarithm (continued), more applications to logarithm and exponential functions. Week 15: Exam #4 (December 9th (Tentatively)) and Review for Final.