MATH 2412 PRE-CALCULUS MATH SYLLABUS Catalog Description Math 2412 Pre-calculus. (4-4.5-0) In-depth combined study of algebra, trigonometry, and other topics for calculus readiness. An instructor-approved graphing calculator will be required. Prerequisite: TSI complete and four years of college-preparatory mathematics including trigonometry. F (2701015819). Instructor: David Rangel Office Location: ES 308 Phone: 903-988-7437 Email address: drangel@kilgore.edu Office hours: 10:30-12:00 and 12:30-3:00 on MW; 8:00-9:00 and 12:30-3:00 on TR; 10:30-11:30 on Fri * Instructors and students are required to use only KC e-mail for e-mail correspondence. Course Rationale This course is intended for students majoring in science, mathematics, or engineering who will be taking Calculus in their degree plan. This course combines into one semester the topics usually taught in a College Algebra and Trigonometry course. Students taking this course would be primarily incoming freshmen who were relatively strong mathematics students in high school taking 4 years of college preparatory mathematics courses. This course will also help students attain logical thinking and problem solving skills. Textbook and Resources The textbook is Algebra and Trigonometry with Integrated Review, 6th Edition, by Blitzer, Pearson. The textbook is included as an e-text in the online system and may or may not be required. MyMathLab access code with e-text software sold by Pearson Addison-Wesley Publishers in KC Bookstore and online at http://pearsonmylabandmastering.com. A TI-83 or TI-84 graphing calculator is required for this class. Learning Activities and Assessment Students will attend and participate in lectures and group work, do homework on paper, and do on-line activities (homework and/or quizzes). Student outcomes will be assessed by a combination of some or all of the following: homework grades, quiz grades, major exam grades, and a comprehensive final exam. The instructor will provide additional information regarding class policies and procedures. DAILY GRADE ASSIGNMENTS i) Online homework listed under ASSIGNMENTS. Each problem can be attempted three times. There are links on the side of the page you can use to assist you with the problems. Note: Do not become dependent upon those links. The more you can do without any assistance the better prepared you will be for exams. Some assignments will not have any links. ii) Worksheets, in-class quizzes, and other assignments will be given throughout the semester. NOTE: Working through the HW is not enough. You must make sure you understand each step in the process!
Grading System a. Daily Grade: 20% b. Exams: 60% c. Final Exam: 20% A = 90-100 B = 80-89 C = 70-79 D = 60-69 F = below 60 Scope of the Course Unit 1: Linear and quadratic equations, functions, inequalities and applications Unit 2: Basic functions, graphing techniques, operations, zeros, modeling Unit 3: Inverse, exponential, and logarithmic functions Unit 4: Trigonometric functions, evaluating, solving right and oblique triangles Unit 5: Circular functions and their graphs Unit 6: Trigonometric Identities and equations Unit 7: Operations and application of vectors, polar form of complex numbers Student Learning Outcomes The successful student in this course will be able to: 1. write the equations of lines given information about the graph. 2. identify, explain and illustrate transformations of graphs of basic functions. 3. visualize the idea of functions and demonstrate function operations. 4. graph various types of functions including polynomial, rational, radical, exponential, logarithmic, trigonometric and circular, using algebraic processes and technology. 5. solve different equations such as polynomial, rational, radical, exponential, logarithmic, trigonometric and circular, using various theorems, algebraic techniques and technology. 6. model and analyze problem situations for all types of applications. 7. demonstrate the algebra of matrices. 8. apply vectors and parametric equations for a variety of algebraic methods and technology. 9. solve for unknown parts of a triangle using trigonometric properties, theorems and identities. 10. solve trigonometric equations and inequalities using algebraic and graphic methods. 11. analyze applications of circular functions, their inverses, and other identities. Throughout the semester the following Core Curriculum Objectives will be addressed: 1. Critical Thinking Skills which may include creative thinking, innovation, inquiry, and analysis, evaluation and synthesis of information. 2. Communication Skills which may include effective development, interpretation and expression of ideas through written and visual communication. 3. Empirical and Quantitative Skills which may include the manipulation and analysis of numerical data or observable facts/data resulting in informed conclusions. Critical Thinking Creative thinking Innovation Inquiry Analysis of information Evaluation of information How will the objective be addressed? How will the objective be assessed? Students will analyze and solve basic algebraic, exponential, logarithmic and trigonometric equations. Students will use definitions and concepts of algebraic and trigonometric functions to determine a function s properties.
Synthesis of information Communication Effective development, interpretation and expression of ideas through -written communication -oral communication -visual communication Empirical and Quantitative Skills Manipulation of numerical data or observable facts resulting in informed conclusions Analysis of numerical data or observable facts resulting in informed conclusions Students will complete an Evaluation of Trigonometric Functions Project where they will draw angles by placing them in the proper quadrant, describe the steps required to evaluate the given trigonometric function value, and then find the requested function value. Students will draw graphs of transformations of basic algebraic and trigonometric functions by using amplitude, period, shifting, stretching, compression, and reflecting properties. Students will prove trigonometric identities using facts and theorems. Students will solve a variety of applied problems involving triangles and vectors. Evaluation of Trigonometric Functions Project graded with a departmental rubric Classroom Procedures 1. Students are expected to be on time for class and stay until the class is dismissed. Situations in which the student is habitually tardy will be handled on an individual basis. 2. Online assignments are on the MyMathLab website and you are required to do all work as assigned. Homework and tests are graded at the time you submit them. You may go back and correct homework up until the due date. The material online is very good as a tutorial if you use it to your benefit. Dates for tests will be announced in class. 3. Cell phones must be turned off during class and must remain out of sight unless otherwise directed by the instructor. You may be asked to leave the classroom if you are using your cell phone. No cell phones are permitted when testing. Using a cell phone during an exam is considered academic dishonesty. 4. Students will exercise appropriate classroom behavior at all times. Inappropriate and/or disruptive behavior will not be tolerated and may result in dismissal from the classroom. If such behavior continues, a student may be dropped from the class. 5. Exercise academic honesty. Cheating will not be tolerated. Effort Statement: As reflected in the syllabus for this course, students will be expected to make an effort to be successful in this course by: attending class regularly and on time doing homework or in-class assignments on time following the directions of the instructor maintaining classroom behavior conducive to learning other instructor expectations (see instructor s syllabus) Failure to meet the instructors expectations in the course, as defined above, will result in the student being dismissed from the course.
Attendance/Withdrawal policy: Kilgore College expects punctuality and regular class attendance. An absence is defined as a students not being in class for any reason. An instructor may drop students when their lack of attendance prohibits them from meeting the course Student Learning Outcomes or when students accumulate excessive absences. Excessive absences is defined as the equivalent of two weeks instruction in a 16-week semester or at least 12.5% of the total of hours of instruction in any term. Students will be dropped for nonattendance per Federal Financial Aid requirements. 1. In compliance with the Kilgore College attendance policy, as stated in the Kilgore College Catalog, the instructor may drop a student after he/she misses the equivalent of two weeks of class. 2. Excessive tardiness will not be tolerated. When a student is tardy, it is his/her responsibility to enter quietly and to not disturb class. If a student leaves class before class is dismissed, that student will be marked absent. Students who are late to class may not be allowed to begin quizzes, tests, or assignments that have already begun. 3. The student is personally responsible for dropping any class. While instructors may drop students for excessive absences, the ultimate responsibility for withdrawing is on the student. Students are encouraged to consult the instructor before dropping. Students should go to the Registrar s Office to drop classes. Students who do not withdraw by the withdraw date will receive the letter grade achieved for the semester. An instructor reserves the right to drop a student from this course due to lack of effort. (See Effort Statement above). Religious Day Absence In accordance with Texas Education Code 51.911, a student may request and be granted an absence from classes on a religious holy day provided the student follows college procedures for seeking such authorization. It is the student's responsibility to make satisfactory arrangements with instructors prior to the absence for completing makeup work. The procedure governing an absence on a religious holy day is outlined in the Kilgore College Student Handbook. Make-up Work Policy/Late Assignments Effective communication between students and their instructor is essential. Students are responsible for initiating any make up work regardless of the cause of the absence. Students absent on official college business are entitled to make up any and all missed work without any penalty attached. However, students should notify their instructors in advance of the absence and should schedule any make-up assignments before the absence. If the student does not submit makeup work by the prearranged time, the student forfeits the right for further make-up of that assignment. For a student whose absence is not official college business, the individual instructor will judge if the student is eligible to make up work. In all cases, the instructor will determine the time for making up work and the nature of the make-up work. Whenever possible, students should discuss their impending absence with the instructor and schedule the make-up work prior to the absence. Statement on Civility in the Classroom Students are expected to assist in maintaining an environment that is conducive to learning. Inappropriate or distractive behavior is prohibited in order to assure that everyone has an opportunity to gain from time spent in the course. Should a disruptive incident occur, the faculty member in charge may remove the student. Students have the right to appeal through the student complaint process. Student Complaints Kilgore College is committed to resolving student concerns or complaints in the most expeditious and informal manner possible. For situations that cannot be resolved in an informal manner, students have the right to submit a written complaint. For more information or to file a formal complaint, visit https://www.kilgore.edu/node/7572.
Statement on Academic Honesty Kilgore College expects students to do their own work. The department will not tolerate academic dishonesty, including plagiarism (submitting someone else's work as your own). The following information concerning academic dishonesty is taken from the Student Handbook section found under "Categories of Misconduct" and reads as follows: Misconduct for which students are subject to discipline falls into the following categories: o Acts of dishonesty, including but not limited to the following: Academic dishonesty including but not limited to cheating and plagiarism. The term "cheating" includes, but is not limited to (1) acquiring information for specifically assigned projects, working with one or more persons on an exam that is to be taken as an individual, or observing work from another individual's exam; (2) providing information on an exam that is to be done individually or giving out the exam or content prior to the exam time. The term "plagiarism" includes, but is not limited to (1) failing to credit sources used in a work product in an attempt to pass off the work as one's own; (2) attempting to receive credit for work performed by another, including papers obtained in whole or in part from individuals or from other sources, including the internet. Misconduct also includes conspiracy to commit an act of academic dishonesty. Additional information is found under "Student Disciplinary Procedures." Matters of Academic Dishonesty o o Academic dishonesty matters may first be considered by the faculty member who may recommend penalties such as withdrawal from the course, failing the course, reduction or changing of a grade in the course, a test, assignment, or in other academic work; denial of a degree and/or performing additional academic work not required by other students in the course. Acceptance of the faculty member's recommended penalties by the student shall make the penalties final and constitutes a waiver of further administrative procedures. If the student does not accept the decision of the faculty member, he/she may have the case heard by the appropriate department chair, dean and Vice President of Instruction for review. If the student is ultimately found not to have been involved in academic dishonesty, the instructor shall not base his/her evaluation of the student on the alleged but unproven dishonesty. If the student is ultimately found to have violated matters of academic dishonesty, the appropriate disciplinary sanction shall be implemented. Any student who believes that a grade has been inequitably awarded should refer to the academic grade change procedures. Disclaimer As instructor, I reserve the right to amend and/or modify this syllabus as necessary to promote the best education possible within prevailing conditions affecting this course. ADA Statement Kilgore College is committed to making reasonable accommodations to assist individuals with disabilities in reaching their academic potential. If you choose to request accommodations for a documented disability which may impact your performance, attendance, or grades in this course, you must first register with the Office of Disability Services. Please note that classroom accommodations cannot be provided prior to your instructor s receipt of an accommodation letter from the Office of Disability Services. For more information about accommodations, please contact the Disability Services office on the second floor of the Devall Student Center: (903) 983-8206. Kilgore College Campus Carry Policy We respect the right and privacy of those who are duly licensed to carry concealed weapons in this class. License holders are expected to behave responsibly and keep a handgun secure and concealed. Open carry is not allowed. More information is available at http://www.kilgorecollege.edu/campuscarry Evaluation of Instructor Each semester students will be given an opportunity to evaluate the instructor and the course. Approved evaluation forms are provided by the Office of Institutional Research, which is also responsible for their analysis.
Math 2412. Course Schedule. Information is subject to slight changes. Section 1.4 Complex Numbers Section 1.5 Quadratic Equations Section 1.6 Other Types of Equations Section 2.1 Basics of Functions and Their Graphs Section 2.2 More on Functions and Their Graphs Section 2.3 Linear Functions and Slope Section 2.4 More on Slope Section 2.5 Transformations of Functions Section 2.6 Combinations of Functions; Composite Functions Section 2.7 Inverse Functions EXAM 1 WEEK 3 Section 3.1 Quadratic Functions Section 3.2 Polynomial Functions and Their Graphs Section 3.3 Dividing Polynomials; Remainder and Factor Theorems Section 3.4 Zeros of Polynomial Functions Section 3.5 Rational Functions and Their Graphs Section 4.1 Exponential Functions Section 4.2 Logarithmic Functions Exam 2 Week 6 Section 4.3 Properties of Logarithms Section 4.4 Exponential and Logarithmic Equations Section 8.1 Systems of Linear Equations in Two Variables Section 9.3 Matrix Operations and Their Applications Section 9.1 Matrix Solutions to Linear Systems Section 5.1 Angles and Radian Measure Section 5.2 Right Triangle Trigonometry Exam 3 Week 9 Section 5.3 Trigonometric Functions of any Angle Section 5.4 Trigonometric Functions of Real Numbers; Periodic Functions Section 5.5 Graphs of Sine and Cosine Functions Section 5.6 Graphs of Other Trigonometric Functions Section 5.7 Inverse Trigonometric Functions Section 5.8 Applications of Trigonometric Functions Section 6.1 Verifying Identities Exam 4 Week 12 Section 6.2 Sum and Difference Formulas Section 6.3 Double Angle, Power-Reducing, and Half-Angle Formulas Section 6.4 Product-to-Sum and Sum-to-Product Formulas Section 6.5 Trigonometric Equations Section 7.1 The Law of Sines Section 7.2 The Law of Cosines Section 7.3 Polar Coordinates Section 7.4 Graphs of Polar Coordinates Section 7.6 Vectors Section 7.7 The Dot Product Exam 5 Week 15 FINAL EXAM Week 16