College Mathematics for Aviation II MATH 112 Lecture-Blended Learning Course Syllabus

Transcription

1 College Mathematics for Aviation II MATH 112 Lecture-Blended Learning Course Syllabus Credit Hours: 3 Credits Academic Term: 2306: 31 May August 2015 Meetings: Location: Instructor: Office Hours: Telephone: Fri ; Sat, Sun ; 5, 6, 7, 26, 27, 28 Jun Spangdahlem AFB Education Center, ERAU Classroom Elena Navarro PM CET N/A navarrj1@erau.edu Course Description: This course presents basic calculus, designed for the student of aviation. Topics include differentiation and integration of algebraic functions; applications to velocity, acceleration, area curve sketching and computation of extreme values. Lecture hours per week (4:45 hours). Prerequisite(s): MATH 111 Course Goals: The course is designed to provide the Aeronautical Science, Aircraft Maintenance and Professional Aeronautics student with an understanding of basic differential and integral calculus as a mathematics foundation for further work in their degree program. It is also intended that the student gain insight into some of the problem-solving techniques used in modern science and technology. Learning Outcomes: Alignment with Worldwide College of Arts & Sciences general education program outcomes is indicated in parentheses. Upon completion of the course, students will be able to do the following: MPLS MMT Syllabus for MATH 112 (revised April 23, 2015) 1

2 1. Identify basic functions from their graphs and evaluate limits from graphs and from algebraic expressions. (PO1 & 7) 2. Find the derivative of a product, a quotient, a composite, and an implicit function. (PO1 & 7) 3. Use the derivative to find tangent lines and interpret tangent slope as a rate of change. Apply rate-of-change concepts to problems involving straight line motion. (PO1 & 7) 4. Use calculus to solve applied optimization problems. (PO1 & 7) 5. Analyze graphs of polynomial functions using the derivative as a tool. (PO1 & 7) 6. Find the anti-derivative of a function. Use these techniques to manipulate indefinite integrals. (PO1 & 7) 7. Compute the area under a curve using approximate and exact methods. Interpret area for various functions arising in the field of Aeronautical Science. (PO1 & 7) 8. Using integration, derive the equations of motion. Given initial conditions, find velocity and displacement equations. (PO1 & 7) List of Program Outcomes for General Education of Arts and Sciences PO1 - Apply knowledge of college level mathematics to defining and solving problems; PO7 - Use digitally-enabled technology to organize and manipulate data, perform calculations, aid in solving problems, and communicate solutions, ideas, and concepts; Required Course Materials: Washington, A. J. (2014). Basic technical mathematics with calculus and MyMathLab (Custom 10 th Edition). Upper Saddle River, New Jersey. Pearson Education, Inc. ISBN: NOTE: Sections 21.1 and 21.2 were inadvertently omitted from the first printing of the custom textbook. They will be included in subsequent printings. Those sections are available in the electronic text available through MyMathLab (MML). To read these sections, students should access their MML course and go to the Multimedia Library option and then select Chapter 21 > All Sections > select the Multimedia Textbook option. A computer with reliable internet access is also required for this course. Note that you may need administrative access to be able to install applications or make other changes to your computer. If the computer you are using is not your own personal property, you may need to contact your organization's IT department to make such updates. MyMathLab (MML) is a course requirement. All the homework and exams are offered within MML. In addition to this, MML has some helpful videos and an online copy of the textbook that is readable from a multitude of platforms. While an ebook offers advantages, some strongly prefer the smell of paper and ink and learn best with a book to thumb through. The choice is ultimately yours. Students are required to have a calculator, though most assigned work can (and should) be done without one. Graphing calculators are not necessary. However, a basic scientific calculator that offers the trigonometric functions of SIN, COS, and TAN is required. ERAU Worldwide math courses use the Microsoft Mathematics 4.0 online calculator, but it is not required. Download MPLS MMT Syllabus for MATH 112 (revised April 23, 2015) 2

3 instructions are in the Resources page in your Canvas course. The TI-30X-II (Solar or Battery), which typically goes for about $15, and similar models from Casio for slightly less, allow data entry in natural order on your screen. Whatever calculator you select, be sure that you know how to use it as this will alleviate a lot of mistakes and frustration. Suggested Supplemental Materials: ERAU Worldwide provides MathType and Graphmatica software in the Resources page of this course. The software helps you write mathematical symbols in Canvas Discussions and in Word documents (although the equation editor in Canvas works just fine for your online Discussions). Use of these programs are optional and up to the individual student. Note that Graphmatica 2.0 is Shareware and as such you are bound by its terms a trial is free, but once you decide it s useful, you pay for the lifetime license ($25, as it has been since the last millennium). ERAU has no formal relationship with the owners of Graphmatica. Free tutoring for this course is available via Eduwizards. ERAU has contracted with Eduwizards to provide you with 10 hours of math tutoring available 24/7. Click here to be taken to the student logon page for this service. Students can request an instant on-demand session with a live person, schedule a session in advance with a tutor of their choice, or submit a question online and receive an answer within 24 hours. If you use up your initial block of time, simply contact the Math and Computer Science Discipline Chair to request more. Grading: Blended Learning Assignments 25% Participation Exercise Sets (2) 10% MyMathLab (MML) Homework 25% MyMathLab (MML) Test 1 10% MyMathLab (MML) Test 2 10% MyMathLab (MML) Test 3 10% MyMathLab (MML) Test 4 10% Total 100% Grade Grade A (Superior) B (Above Average) C (Average) D (Below Average) Below 60 F (Failure) Library: The Jack R. Hunt Library, located on the Daytona Beach Campus, is the primary library for all Worldwide Campus students. MPLS MMT Syllabus for MATH 112 (revised April 23, 2015) 3

4 Web: Phone: (800) (ext. 6947) or (386) (Voic is available after hours) Hours: Monday - Friday, 8:00 a.m. - 5:00 p.m. EST library@erau.edu Assignments, Discussion Participation (If required for Blended Delivery), and/or special administrative: All assignments will be completed in a professional manner and on time, unless prior arrangements have been made with the professor. This course includes weekly activities, each of which may have grade points associated with them. Unless prior arrangements have been made with the instructor, students are expected to participate each week, according to the course schedule. This is especially important with regards to discussion activities. Weekly Canvas discussions typically include both an initial posting and one or more substantive replies in courses offered via Blended Learning. Note: Proper etiquette has to do with keeping it simple by using proper English and proper spelling spell check works well in Canvas. 1. MyMathLab: MyMathLab will be purchased as part of the text for this course. Until your book arrives, you will use MyMathLab for a free, 14-day trial period. Using MyMathLab is not optional. 2. Reading: You are required to read the assigned chapters before class and before attempting any of the assignments each week. Please make time to take notes while you read the text, watch MML videos, and work through the sample problems each week. This is not a graded component of the course, but your success in subsequent assignments depends on your understanding of this material. 3. MyMathLab (MML) Homework assignments: There will be homework assignments delivered via MyMathLab every week of the term. You can work on your problem set throughout the week up until the due date. You will get unlimited chances to submit an answer. Your instructor will take your hand-written supporting work into consideration when grading. Only work submitted via MML or will be reviewed. Problem Sets completed after the deadline in the Course Schedule will be subject to the late work policy stated later in this document. 4. MyMathLab Exams: There are four exams for you to complete in MML. You will have a single opportunity to answer the set of questions. Once you start the exam, you must complete it. Each test will be graded immediately by MML, but your instructor will review your entries and any supporting work before determining your final score. It is required to submit (via ) your scanned hand-written work for the tests. This should be done within 30 minutes after the test was taken. Make sure the images are clear and readable. MML tests will not receive full credit without submitted scanned handwritten image files. An automatic grade of 70% will be given for those questions with no work shown or with work not matching the answer stated. If you experience any technical difficulties with the exam, contact your instructor as soon as possible for assistance. All exams will be available for a one-week period. MPLS MMT Syllabus for MATH 112 (revised April 23, 2015) 4

5 5. Blended Learning assignments for this course will consist of Everyday Math topics presented via a forum in the Discussions area or will be posted as individual assignments in the appropriate Modules in Canvas. 6. Class Participation: Participation Exercise Sets are designed to ensure students complete all reading assignments. These exercises will be posted in the appropriate Modules (1 and 4). They must be completed prior to the meeting as they will be discussed in class. Detailed step-by-step solutions are required in order to receive full credit. Answers alone are not sufficient. NOTE: simply attending class will not result in earning any points. You must actively participate when called on individually and/or in group activities. If you miss a class session, these points will be lost. Course Policies: Embry-Riddle is committed to maintaining and upholding intellectual integrity. All students, faculty, and staff have obligations to prevent violations of academic integrity and take corrective action when they occur. The adjudication process will include the sanction imposed on students who commit the following academic violations, which may include a failing grade on the assignment, a failing grade for the course, suspension, or dismissal from the University: 1. Plagiarism: Presenting as one s own the ideas, words, or products of another. Plagiarism includes use of any source to complete academic assignments without proper acknowledgement of the source. All papers submitted for grading in this course will be submitted to Turnitin where the text of the paper is compared against information contained in the Turnitin database. Papers submitted will be included in the Turnitin database and become source documents for the purpose of detecting plagiarism. 2. Cheating: A broad term that includes the following: a. Giving or receiving help from unauthorized persons or materials during examinations. b. The unauthorized communication of examination questions prior to, during, or following administration of the examination. c. Collaboration on examinations or assignments expected to be individual work. d. Fraud and deceit, that include knowingly furnishing false or misleading information or failing to furnish appropriate information when requested, such as when applying for admission to the University. 3. APA 6 th edition format is the ERAU Worldwide standard for all research projects. 4. Course Specific Policies: a. Blended Learning Policy: This course is offered in blended format. 70% of the required course will be conducted in-class. 30% will take place online in Canvas. Class meetings will be comprised of lectures, audio-visual presentations, discussions, exercises, and student presentations. Online activities will include discussion with classmates, posting of your work, reviewing classmates work, and feedback from the MPLS MMT Syllabus for MATH 112 (revised April 23, 2015) 5

6 instructor on your work. During the first class meeting, we will thoroughly review the online Blended Course activities. b. Missed Class Policy: You are expected to attend each class session in its entirety. Notify the instructor as soon as possible if you will not be present or if you will miss part of class. If you miss any part of class, you will be required to use the Missed Class forum in the Discussions area to post a summary of the highlights from the material covered during the lecture plus identify unresolved questions you have about the material you missed. Your instructor and classmates will reply to your post in order to clarify anything and bring you up to speed with the rest of the class. c. Late Work Policy: All course work is expected to be completed on time and should be submitted before 11:59 PM CET on the date indicated in the Course Schedule below. Please coordinate with the instructor as soon as possible if you know your assignment will be late. Commonly, a 10-point reduction is applied for late submission. In some special cases, a penalty-free extension might be granted if you provide your expected date of submission in addition to the reason you cannot make the deadline (expect to provide supporting documentation). Keep in mind that you always have at least 7 days to complete your assignments, so difficulties encountered less than 24 hours prior to the deadline will not be viewed in a favorable light. Disability and Special Needs: ERAU is committed to the success of all students. It is a University policy to provide reasonable accommodations to students with disabilities who qualify for services. If you would like to request accommodations due to a physical, mental, or learning disability contact the Worldwide Campus Disability Support Service Office at (888) or via wwdss@erau.edu or worldwide.disability.support.services@erau.edu. Course Schedule: Week Topics L/O Activities 1 31 May 6 Jun 1 Readings: Section 23.1 Meetings on 5 and 6 Jun NOTE: The term starts on Sunday, May 31. Log on to Canvas this day and get started on your ungraded assignments. Our first class meeting is on Friday, the 5 th June. Introduction The Concept of Limits Canvas Assignments: Participation Exercise Set 1 due on 5 June MML Assignments: Register for MML and MML HW Mod 1 due on 6 June MPLS MMT Syllabus for MATH 112 (revised April 23, 2015) 6

7 2 7 Jun 13 Jun Meeting on 7 Jun The Derivative as an Instantaneous Rate of Change 1, 2 Readings: Section The Total Solar Radiation due on 13 June MML Assignments: MML HW Mod 2 due on 13 June 3 14 Jun 20 Jun The Rules of Differentiation 2 Readings: Section 23.6, 23.7 Discussions due on 20 June 4 21 Jun 27 Jun Meetings on 26 and 27 Jun Implicit Differentiation, Tangent line, Higher Order Derivatives MML Assignments: MML HW Mod 3 and Test 1 due on 20 June 2, 3 Readings: Section 23.8, 23.9, 24.1 Canvas Assignments: Participation Exercise Set 2 due on 26 June MML Assignments: MML HW Mod 4 due on 27 June 5 28 Jun 4 Jul Meeting on 28 Jun Rate of Change 3 Readings: Section 24.3, 24.4 The Moving Shadow due on 4 July MML Assignments: MML HW Mod 5 and Text 2 due on 4 July 6 5 Jul 11 Jul Curve Sketching and Extreme Value 4, 5 Readings: Section 24.5, 24.7 Discussions due on 11 July MML Assignments: MML HW Mod 6 due on 11 July MPLS MMT Syllabus for MATH 112 (revised April 23, 2015) 7

8 7 12 Jul 18 Jul Indefinite Integral 6, 7 Readings: Section Discussions due on 18 July MML Assignments: MML HW Mod 7 and Test 3 due on 18 July 8 19 Jul 25 Jul Definite Integral 7 Readings: Section Approximations of Pi due on 25 July 9 26 Jul 1 Aug Applications of the Definite Integral NOTE: Term ends on Saturday, August 1. All work must be submitted by 11:59 PM CET on the last day of the term. Be sure to check in on this final day to read any announcements from your instructor and make sure all of your assignments are accounted for. MML Assignments: MML HW Mod 8 due on 25 July 8 Readings: Section Airplane Separation due on 1 Aug MML Assignments: MML HW Mod 9 and Test 4 due on 1 Aug Submitted by: Elena Navarro Approved by: MPLS MMT Syllabus for MATH 112 (revised April 23, 2015) 8