Math Pre-Calculus Course Syllabus: Spring 2014

Size: px

Start display at page:

Download "Math Pre-Calculus Course Syllabus: Spring 2014"

Ilene Porter
5 years ago
Views:

Math 2412.01 - Pre-Calculus Course Syllabus: Spring 2014 Northeast Texas Community College exists to provide responsible, exemplary learning opportunities. Dr.

1 Math Pre-Calculus Course Syllabus: Spring 2014 Northeast Texas Community College exists to provide responsible, exemplary learning opportunities. Dr. Doug Richey Office: MS H Phone: drichey@ntcc.edu Office Hours Monday Tuesday Wednesday Thursday Friday Online 8:00-9:20 8:00-9:20 8:00-9:20 8:00-9:20 Appointment Everyday 2:30-3:50 2:30-3:50 2:30-3:50 2:30-3:50 The information contained in this syllabus is subject to change without notice. Students are expected to be aware of any additional course policies presented by the instructor during the course. Catalog Course Description (include prerequisites): Four credit hours. This is a standard first course in functional analysis with algebra, geometry, and geometric interpretations. Topics include graphs, inverse functions, polynomial functions, rational and irrational functions, exponential and logarithmic functions, trigonometric functions, inverse trigonometric functions, Law of Sines, Law of Cosines, and analytic geometry. Prerequisite: Math 1314 or equivalent. Four hours of class each week (Fall, Spring, Summer) Required Textbook(s): Sullivan / Sullivan, Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry, 2nd Edition, Upper Saddle River, NJ. Publisher: Pearson Prentice Hall Company ISBN Number: 13: Recommended Reading(s): None Student Learning Outcomes: Upon successful completion of this course, students will: Recognize and apply algebraic and transcendental functions and to solve related equations both algebraically and graphically Identify intervals of increasing, decreasing, or constant; estimate relative maxima and minima Sketch algebraic curves with vertical, horizontal, and slant asymptotes and apply these graphs to ideas of continuity Prove trigonometric identities.

2 Solve right and oblique triangles Determine the standard equation of a conic with given conditions and solve applied problems involving a conic Solve applied problems with parametric forms, polar coordinates, vectors, and modeling. Exemplary Educational Objectives: The objective of the mathematics component of a core curriculum is to develop a quantitatively literate college graduate. Every college graduate should be able to apply basic mathematical tools in the solution of real world problems. The exemplary educational core objectives for mathematics are: 1. to apply arithmetic, algebraic, geometric, higher order thinking, and statistical methods to modeling and solving real-world situations; 2. to represent and evaluate basic mathematical information verbally, numerically, graphically, and symbolically; 3. to expand mathematical reasoning skills and formal logic to develop convincing mathematical arguments; 4. to use appropriate technology to enhance mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of the results; 5. to interpret mathematical models such as formulas, graphs, tables and schematics, and draw inferences from them; 6. to recognize the limitations of mathematical and statistical models; 7. to develop the view that mathematics is an evolving discipline, interrelated with human culture, and understand its connections to other disciplines. SCANS Skills: N/A Lectures & Discussions: A typical class will involve general participation by all members in a discussion regarding the mathematical principles and procedures being studied. Some small as well as large group activities will be employed, and students are expected to develop as team members as well as individuals. Evaluation/Grading Policy: Two major 100 point examinations, evenly spaced throughout the semester, will be given and each will be worth 25% of the final grade. The average of a series of special assignments, quizzes, and homework will be worth 25%. A comprehensive final examination will contribute 25% to the final grade.

3 2 Major Exams 50% Homework Grade 25% Comprehensive Final Exam 25% TOTAL 100% Students are expected to attend class on the day of the exam. Make-up exams will be given in conjunction with the final exam unless the student has coordinated with the instructor at least two days prior to the exam. Late work will incur a penalty unless otherwise indicated by the instructor. Grading System "A" % "B" 80-89% "C" 70-79% "D" 60-69% "F" Below 60% Tests/Exams: Exam information is located above in the Evaluation/Grading Policy. Material covered on each exam is located below in the Assignments section. Assignments: Submission of homework problems will be determined on a section-by-section basis. Selections on individual problem sets will be made in class. COURSE OUTLINE Chapter 1 Functions and Their Graphs (1 week) 1.1 Functions (Review) 1.2 The Graph of a Function (Review) 1.3 Properties of Functions 1.4 Library of Functions; Piecewise-defined Functions 1.5 Graphing Techniques: Transformations 1.6 Mathematical Models: Constructing Functions (Review) 1.7 Building Mathematical Models Using Variation (Review) Chapter 2 Linear and Quadratic Functions (1 week) 2.1 Properties of Linear Functions (Review) 2.2 Building Linear Functions from Data; Direct Variation 2.3 Quadratic Functions and Their Real Zeros (Review - Quadratic Formula) 2.4 Properties of Quadratic Functions 2.6 Quadratic Models; Building Quadratic Functions From Data 2.7 Complex Zeros of a Quadratic Function (Review) Chapter 3 Polynomial and Rational Functions (1 week) 3.1 Polynomial Functions and Models

4 3.2 Properties of Rational Functions 3.3 The Graph of a Rational Function 3.5 The Real Zeros of a Polynomial Function (Review) 3.6 Complex Zeros: Fundamental Theorem of Algebra (Review) Chapter 4 Exponential and Logarithmic Functions (2 weeks) 4.1 Composite Functions (Review) 4.2 One-to-One Functions; Inverse Functions 4.3 Exponential Functions (Review) 4.4 Logarithmic Functions (Review) 4.5 Properties of Logarithms 4.6 Logarithmic and Exponential Equations 4.8 Exponential Growth and Decay; Newton s Law; Logistic Growth and Decay (Review) 4.9 Building Exponential, Logarithmic, and Logistic Functions from Data Examination #1 Chapter 5 Trigonometric Functions (4 weeks) 5.1 Angles and Their Measure 5.2 Right Triangle Trigonometry 5.3 Computing the Values of Trigonometric Functions of Acute Angles 5.4 Trigonometric Functions of any Angle 5.5 Unit Circle Approach; Properties of the Trigonometric Functions 5.6 Graphs of the Sine and Cosine Functions 5.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 5.8 Phase Shift; Sinusoidal Curve Fitting Chapter 6 Analytic Trigonometry (2 weeks) 6.1 The Inverse Sine, Cosine, and Tangent Functions 6.2 The Inverse Trigonometric Functions (Continued) 6.3 Trigonometric Equations 6.4 Trigonometric Identities 6.4 Sum and Difference Formulas 6.5 Double-Angle and Half-Angle Formulas Examination #2 Chapter 7 Applications of Trigonometric Functions (1 week) 7.1 Applications Involving Right Triangles 7.2 Law of Sines 7.3 Law of Cosines 7.4 Area of a Triangle As Time Permits Chapter 8 Polar Coordinates; Vectors (1 week)

5 8.1 Polar Coordinates 8.2 Polar Equations and Graphs 8.4 Vectors Chapter 9 Analytic Geometry (1 week) 9.1 Conics 9.2 The Parabola 9.3 The Ellipse 9.4 The Hyperbola 9.7 Plane Curves and Parametric Equations Comprehensive Final Examination Other Course Requirements: A graphing calculator is highly recommended for this course, but not required. Student Responsibilities/Expectations: Regular and punctual attendance at all scheduled classes is expected. Attendance is necessary for successful completion of course work. Excused absences may be permitted at the discretion of the instructor for illness, official college activities, or personal emergencies. The student is responsible for initiating procedures for make-up work. All other missed assignments will not be accepted unless otherwise stated and is completed to the satisfaction of the instructor. Students absent on an exam day must have informed the instructor prior to missing the exam. If the instructor is not informed prior to missing the exam, the exam will be made up concurrent with the final examination. NTCC Academic Honesty Statement: "Students are expected to complete course work in an honest manner, using their intellects and resources designated as allowable by the course instructor. Students are responsible for addressing questions about allowable resources with the course instructor. NTCC upholds the highest standards of academic integrity. This course will follow the NTCC Academic Honesty policy stated in the Student Handbook." Academic Ethics The college expects all students to engage in academic pursuits in a manner that is beyond reproach. Students are expected to maintain complete honesty and integrity in their academic pursuit. Academic dishonesty such as cheating, plagiarism, and collusion is unacceptable and may result in disciplinary action. Refer to the student handbook for more information on this subject. ADA Statement: It is the policy of NTCC to provide reasonable accommodations for qualified individuals who are students with disabilities. This College will adhere to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations as required to afford equal educational opportunity. It is the student s responsibility to arrange an appointment with a College counselor to obtain a Request for Accommodations form. For more information, please refer to the NTCC Catalog or Student Handbook.

6 Family Educational Rights And Privacy Act (Ferpa): The Family Educational Rights and Privacy Act (FERPA) is a federal law that protects the privacy of student education records. The law applies to all schools that receive funds under an applicable program of the U.S. Department of Education. FERPA gives parents certain rights with respect to their children s educational records. These rights transfer to the student when he or she attends a school beyond the high school level. Students to whom the rights have transferred are considered eligible students. In essence, a parent has no legal right to obtain information concerning the child s college records without the written consent of the student. In compliance with FERPA, information classified as directory information may be released to the general public without the written consent of the student unless the student makes a request in writing. Directory information is defined as: the student s name, permanent address and/or local address, telephone listing, dates of attendance, most recent previous education institution attended, other information including major, field of study, degrees, awards received, and participation in officially recognized activities/sports. Other Course Policies: There will be no cell phone usage in the classroom. Students will be warned if caught using a phone during class. A student will be removed from class if the disruption continues. The college s official means of communication is via your campus address. I will use your campus address and Blackboard to communicate with you outide of class. Make sure you keep your campus cleaned out and below the limit so you can receive important messages.

Syllabus ENGR 190 Introductory Calculus (QR)

Syllabus ENGR 190 Introductory Calculus (QR) Catalog Data: ENGR 190 Introductory Calculus (4 credit hours). Note: This course may not be used for credit toward the J.B. Speed School of Engineering B. S.