Syllabus ENGR 190 Introductory Calculus (QR)


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1 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. and M. Eng. Degrees. Review of algebra, trigonometry, analytic geometry, and introduction of elementary calculus in preparation for Engineering Analysis I. Textbook: Precalculus: A Right Triangle Approach 1/e by Kirk Trigsted and supplemental introductory calculus material Instructor: James E. Lewis, Ph.D., JS 117 (502) Brian S. Robinson, Ph.D., JS 113 (502) Chris Foreman, Ph.D., Vogt 305 (502) Objectives: This course is designed to give students a solid background in algebra, trigonometry, analytic geometry, and an introduction to differential calculus while developing their ability to think critically as they solve problems and work collaboratively with their peers. Topics: 1. Order of Operations, The Laws of Exponents; Radicals, Polynomials, Factoring Polynomials, Rational Expressions (6 hours) 2. Linear Equations, Systems of Linear Equations in Two Variables, Applications of Linear Equations, Complex Numbers, Quadratic Equations, Applications of Quadratic Equations, Other Types of Equations, Linear Inequalities, Absolute Value Equations and Inequalities, Polynomial and Rational Inequalities (7 hours) 3. The Rectangular Coordinate System, Circles, Lines, Parallel and Perpendicular Lines (6 hours) 4. Properties of a Function's Graph, Graphs of Basic Functions; Piecewise Functions, Transformations of Functions, The Algebra of Functions; Composite Functions, OnetoOne Functions; Inverse Functions, Quadratic Functions, Applications and Modeling of Quadratic Functions, The Graphs of Polynomial Functions (6 hours) 5. The Factor Theorem, Zeros of Polynomial Functions; Fundamental Theorem of Algebra, Rational Functions and Their Graphs, horizontal, vertical, and oblique (slant) asymptotes, solving problems that involve variation (6 hours) 6. Exponential Functions, The Natural Exponential Function, Logarithmic Functions, Properties of Logarithms, Exponential and Logarithmic Equations, Applications of Exponential and Logarithmic Functions (6 hours) 7. Degree and Radian Measure, Applications of Radian Measure, Triangles, Right
2 Triangle Trigonometry, Trigonometric Functions of General Angles, The Unit Circle, The Graphs of Sine, Cosine Tangent, Cosecant, Secant, and Cotangent Functions, Phase Shift of Trigonometric functions, Trigonometric Identities, The Sum and Difference Formulas, The DoubleAngle and Half Angle Formulas, The ProducttoSum and SumtoProduct Formulas, Trigonometric Equations (7 hours) 8. Geometric and algebraic representations of vectors, operations on vectors, direction and magnitude and direction of a vector, understanding the dot product and its properties, solving applications involving force and work (6 hours) 9. Finding limits using graphs, onesided limits, properties of limits, average rate of change, instantaneous rates of change and introduction to derivatives (6 hours) Evaluation: Exams 60%, Quizzes 5%, Final Examination  20%, Group Exercises 15% Grading Scale (%): A 90> B 80>C 70>D 60>F a minimum score of 70% on the final exam is required to earn a passing grade. General Education (Cardinal Core) Learning Outcomes and Assessment: (for all sections of this course) 1) Interpret information presented in mathematical and/or statistical forms. How course meets outcome: Students are required to set up and solve problems using appropriate algebraic, trigonometric, geometric, or calculus symbols, graphs, and numbers which will require student interpretation of the information to then present in mathematical form. 2) Illustrate and communicate mathematical and/or statistical information symbolically, visually, and/or numerically. How course meets outcome: Students are required to set up and solve problems using appropriate algebraic, trigonometric, geometric, or calculus symbols, graphs, and numbers which will require illustrations and symbolic and/or numerical communication. 3) Determine when computations are needed and execute the appropriate computations. How course meets outcome: Students are required to set up and solve problems using appropriate algebraic, trigonometric, geometric, or calculus symbols, graphs, and numbers which will require students to execute appropriate needed computations. 4) Apply an appropriate model to the problem to be solved.
3 How course meets outcome: Among the problems that students are required to set up and solve are word problems that require the selection and use of appropriate algebraic, trigonometric, geometric, and calculus models. 5) Make inferences, evaluate assumptions, and assess limitations in estimation, modeling, and/or statistical analyses. How course meets outcome: This course emphasizes fundamental problemsolving skills through various problemsolving techniques. Among the problems that students are asked to set up and solve are ones that require them to make inferences, evaluate assumptions, and assess limitations in modeling. Required Materials: MyLabPlus in MyMathLab Access Code for Precalculus: A Right Triangle Approach 1/e by Kirk Trigsted: This access code can be purchased online through the MyMathLab in MyLabsPlus course, or from the University Bookstore. This will get you access to the etext for the course as well as all assignments. Tablet PC: All of the course materials and assignments are accessed and submitted online. You should use your Tablet PC to access these materials, and you need to bring your Tablet PC to class. During class meetings you will often need to answer questions and prompts from guided notebooks. These guided notebooks will be available for download from the Blackboard course shell and are Microsoft OneNote pages. Using your Table PC and Microsoft OneNote you can open these and write your answers using your Tablet PC s Wacom Pen. Calculator: A calculator is not required for this course, and on quizzes and test you must use the calculator built into MyMathLab. For homework or study plan problems it is recommended that you use a calculator sparingly. Course Work: Exams (60%) There will be 6 exams. The exams will be administered in MyMathLab. A password to access the test will be required and you must come to the test room (location to be determined) to have a proctor enter the password. You will have 60 minutes to complete each test and you will be provided scratch paper, which must be turned in when you are done taking the test. Scratch paper will not be graded, your answer to test questions is the answer entered in MyMathLab. A basic calculator will be provided inside MyMathLab, you cannot use your own calculator on tests. If you are seen using your calculator during a test your scratch paper will be taken up and you will receive an automatic zero on that Exam. Each exam will cover the corresponding Unit s material. You must take both unit quizzes in order to be able to take the exam on that unit, though no minimum score is required for each quiz. If you feel one of your
4 answers on a MyMathLab test has been scored incorrectly you can submit a Request to Review Entered Answer in MyMathLab. Situations where you should submit such a request are when you think you have an unrecognized equivalent answer, or when you have an obvious typo, such as a parenthesis under the radical sign when it should be outside the radical. These forms are outside the instructor s office and you can turn them in to the instructor or TA during class meeting times. Quizzes (5%) There are 12 quizzes in MyMathLab, two per unit. You will have 90 minutes to complete the quiz when you start. You can take the quiz anywhere, but you absolutely should take the quiz under test conditions, as it is designed to allow you to judge how well you are prepared for taking the exam. Quizzes should take much less than the allowed 90 minutes, so you do not need to rush through the questions. You should neatly record your work on each quiz problem, labeling each problem s number and drawing a line between your work on different problems. Box your answer to each question on you scratch paper, as this will help you when reviewing the quiz after you are done. When you are done taking the quiz, you will be able to see your score, your answers and the correct answer to each question. Before you can take a quiz you must master objectives that are covered on that quiz. To facilitate this, each quiz has a companion Study Plan Assignment (Except for quizzes 11 and 12). You must master most of the objectives in the Study Plan before taking the quiz. The course introduction video will explain how to use the study plan in greater detail and show you how to access the study plan for quizzes. Quizzes will focus on the material in the corresponding study plan, but can include any material from any previous study plan. While working in groups is part of this course and is encouraged outside of class, quizzes should be done individually, keeping with the instructor s recommendation to take them under test conditions. Odd numbered quizzes are a prerequisite for the next even number quiz, (quiz 1 is a prerequisite for quiz 2, etc.). The two unit quizzes are prerequisites for the unit test. This means if you don t take an odd numbered quiz, you will be blocked from taking the next quiz and the next exam, if you don t take an even numbered quiz, you will be blocked from taking the next unit exam. Study Plan (0 %) The MyMathLab Study Plan includes practice problems and a quiz me feature for each learning objective. A study plan for each quiz will guide you through the material for that part of the course. You can begin by taking a quiz me for a specific objective, or you can start working practice problems first. Each quiz me will have three questions, you must score above 80% on the quiz me to earn the mastery point for that objective. In most cases that means you have to get all three questions correct. If you do not score above 80% on the quiz me for that objective, you cannot take another quiz me until you have correctly answered at least one practice question for that objective. If no practice problems are available, take a quiz me and submit your quiz without answering any questions, this will cause the practice problems to reappear. For quizzes 11 and 12 the study plan will be a series of homework assignments that include video presentation of material followed by questions related to the material covered in the video. You will need to achieve a 80% score on the homework assignments to take quizzes 11 and 12. Final Exam (20%) The final exam will be in MyMathLab and will be the same format as the
5 exams, only longer. The final exam will be comprehensive, including questions from every unit. The final exam will be 2.5 hours long Class Work (15%) There are two or three class meetings depending on your section each week. Part of the class time will be spent working on handouts. You cannot receive credit for class work if you do not attend class, however, attending class is not sufficient for receiving a score for that day, you must actively work on the course material to receive full credit. If you are more than 5 minutes late to class you will not receive credit for class work that day. You will be allowed to miss three class meetings without penalty to your class work score. Class Meetings and Time Spent working in the course. In most four credit college courses the average student spends 12 to 16 hours per week to be successful in the course. In traditional courses, students spend 45 hours in a lecture and 8 or more hours working independently, usually reading and doing homework. In this course, you will spend 2.5 hours each week in class, Tuesdays and Thursdays for 75 minutes each. During class meeting times there will be little or no prepared lecture, instead you will spend time working in groups. Group work counts as 15% of your final course grade and you cannot receive credit for group work if you do not attend class. You should spend as much additional time as you need to master objectives in the study plan and take and review quizzes. It is anticipated that this will be between 8 and 10 hours per week. For this additional time you will be working independently in MyMathLab. Course materials in MyMathLab include: an etext, video presentation of course materials and video solutions to example problems, practice problems with learning aids (help me solve this, show me an example, video worked example, and hyperlink to relevant etext materials), and the study plan. To be successful in the course you should plan to spend between at least an hour and up to three hours per day working on course assignments. Some weeks may require more hours others may require less hours. You should spend some time work on this class every day, at least weekdays. If you will need to spend 8 hours working in the study plan and you wait Friday to start working on the study plan, you will need to spend all day Friday working in the study plan, which is likely to conflict with your responsibilities in other courses. Communications and Announcements about the course, special sessions, changes in schedules or procedures, and so forth, will be made in MyMathLab, and by university . You are expected to check your University regularly. The best way to communicate with your instructor is to speak to them in person or set up a time to meet in them in their office. Students with Special Needs If you need accommodations because of a disability, if you have emergency medical information to share with your instructor, or if you need special arrangements in case the building must be
6 evacuated, please contact your instructor after the first class meeting or make an appointment with the instructor as soon as possible. Academic Honesty Students are expected to maintain Academic Honesty in all their work. Collaboration is encouraged on many assignments such as homework, and tutors are available to assist you with this kind of work. However, you are expected to work independently on all quizzes and Reading Assignments. All exams, including the final exam are considered individual work and must be completed without unauthorized assistance of any kind, including the help of other students, tutors, notes, or graphing calculators. All test materials and scratch paper are to be turned in with the test paper and attempting to bring test work out of the testing area and/or share that work with other students is considered cheating. Late Work The only assignments with due dates are Quizzes and Tests. If you are unable to complete a quiz by the due date or miss an exam contact the instructor as soon as possible, preferably within 48 hours. If you do not contact the instructor in a reasonable amount of time of you will receive a zero for that assignment at the end of the semester. Extensions for quizzes and test will only be granted in cases of medical or family emergency. Each student is allowed one prerequisite exemption, you need to let your instructor know when you elect to use your prerequisite exemption. The exemption will allow you to take a quiz or a test without having taking the required prerequisite quizzes. Title IX/Clery Act Notification Sexual misconduct (including sexual harassment, sexual assault, and any other nonconsensual behavior of a sexual nature) and sex discrimination violate University policies. Students experiencing such behavior may obtain confidential support from the PEACC Program ( ), Counseling Center ( ), and Campus Health Services ( ). To report sexual misconduct or sex discrimination, contact the Dean of Students ( ) or University of Louisville Police ( ). Disclosure to University faculty or instructors of sexual misconduct, domestic violence, dating violence, or sex discrimination occurring on campus, in a Universitysponsored program, or involving a campus visitor or University student or employee (whether current or former) is not confidential under Title IX. Faculty and instructors must forward such reports, including names and circumstances, to the University s Title IX officer. For more information, see the Sexual Misconduct Resource Guide ( ).
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