Mathematics Northeast College Math 2415: Calculus III CRN 11621 – Fall/2016 Distance Ed| 1:00-1:00 | Sunday to Sunday 4 hour lecture course / 64 hours per semester/ 16 weeks Textbook: Calculus, 10th Edition, by Ron Larson & Bruce H. Edwards ISBN-13: 978-1285057095 Registration Class Key: Purchase your registration code and use the class key to register in Webassign.net Your Class is hccs 0977 8541 Instructor: Prof. Togba Sapolucia Instructor Contact Information: togbac.sapolucia@hccs.edu 713-718-8023 Math Dept 713-718-8049 Office location and hours: 8001 Fulton, Houston, Texas 77022 Tuesdays, Thursdays and Saturdays from 8:00AM -1:00PM Course Description Math 2415: Calculus III. A survey of advanced topics in calculus including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, Jacobians, divergence and Stokes’ theorems. Prerequisites Math 2414: Pass with a “C” or better Course Goal This course provides a detailed study of vector-valued functions with space geometry. Functions of several variables and Lagrange multiplers. Multiple integration with applications, as well as integration in polar, spherical, and cylindrical coordinates. Change of variables and Jacobians. And finally, vector analysis that includes Green’s theorem, Divergence theorem, and Stokes’ theorem. Course Student Learning Outcomes (SLO): 1. Understand vector functions, operations with them (including differentiation and integration), and their application to motion in space 2. Understand real functions of several variables, operations with them (including differentiation and integration), optimization of multivariable functions, and their application to physical problems 3. Compute multiple integrals in Cartesian, polar, cylindrical, and spherical coordinates, and apply multiple integrals to physical problems; 4. Solve problems using the Fundamental Theorem of Line Integrals, Green's Theorem, the Divergence Theorem, and Stokes' Theorem. Learning outcomes Students will: 1.1 apply calculus to vectors and vector-valued functions 2.1 describe and use partial differentiation 2.2 apply Lagrange multipliers to solve problems. 3.1 solve multiple integrals. 3.2 find the Jacobian using determinant notation. 4.1 apply Green’s theorem to evaluate line integrals around a bounded area. 4.2 apply the Divergence theorem and Stokes’ theorem to specific problems. Table of Contents 11. VECTORS AND THE GEOMETRY OF SPACE. Vectors in the Plane Space Coordinates and Vectors in Space The Dot Product of Two Vectors The Cross Product of Two Vectors in Space Lines and Planes in Space Section Project: Distances in Space. Surfaces in Space Cylindrical and Spherical Coordinates. Review Exercises. P.S. Problem Solving 12. VECTOR-VALUED FUNCTIONS. Vector-Valued Functions Section Project: Witch of Agnesi Differentiation and Integration of Vector-Valued Functions Velocity and Acceleration Tangent Vectors and Normal Vectors. Arc Length and Curvature Review Exercises. P.S. Problem Solving 13. FUNCTIONS OF SEVERAL VARIABLES. Introduction to Functions of Several Variables Limits and Continuity Partial Derivatives Section Project: Moiré Fringes. Differentials Chain Rules for Functions of Several Variables Directional Derivatives and Gradients Tangent Planes and Normal Lines Section Project: Wildflowers. Extrema of Functions of Two Variables Applications of Extrema of Functions of Two Variables Section Project: Building a Pipeline. Lagrange Multipliers Review Exercises. P.S. Problem Solving 14. MULTIPLE INTEGRATION. Iterated Integrals and Area in the Plane Double Integrals and Volume Change of Variables: Polar Coordinates Center of Mass and Moments of Inertia Section Project: Center of Pressure on a Sail Surface Area Section Project: Capillary Action Triple Integrals and Applications Triple Integrals in Cylindrical and Spherical Coordinates Section Project: Wrinkled and Bumpy Spheres Change of Variables: Jacobians Review Exercises. P.S. Problem Solving Page 2 of 10 15. VECTOR ANALYSIS Vector Fields Line Integrals Conservative Vector Fields and Independence of Path Green’s Theorem Section Project: Hyperbolic and Trigonometric Functions Parametric Surfaces Surface Integrals Section Project: Hyperboloid of One Sheet Divergence Theorem,Stokes’s Theorem Core Objectives Critical Thinking Skills: to include creative thinking, innovation, inquiry, and analysis, evaluation and synthesis of information. Communication Skills: to include effective development, interpretation and expression of ideas through written, oral and visual communication. Empirical and Quantitative Skills: to include the manipulation and analysis of numerical data or observable facts resulting in informed conclusions. TESTING CALENDAR ALL TESTS, QUIZZES AND HOMEWORK ARE LOCATED IN Webassign.net Test 1 Chapters 11 and 12 Available Oct 21 2016 Deadline Oct 22 2016 Online (listed sections only) Test 2 Chapter 13 Available Nov 18 2016 Deadline Nov 20 2016 Online (listed sections only) Last Day to Drop Classes Nov 7 by 4:30PM Your final examination is proctored. Only Proctors have access to password Students are not given password Test3 Chapters14 and15 Available Dec 5 2016 Deadline Dec 6 2016 Online (listed sections only)) Professor cannot drop a class for you Departmental Final Examination Chapters 11 through 15 No make up for any reason(s) Available Dec 8 2016 Deadline Dec 9 2016 Instructional Methods This course is an online course and students encouraged to review all the resources available in order to prepare themselves for each set of assessment activities. My job is to teach and guide you through this wonderful experience. Do not hesitate to contact me immediately if you have any difficulties. Procrastination is an enemy in this endeavor. Make it a top priority to complete your assessments on or before the due dates. Student Assignments 1. Each instructor must cover all course topics by the end of the semester. The final exam is comprehensive and questions on it can deal with any of the course objectives. 2. Each student should receive a copy of the instructor's student syllabus for the course during the first week of class. 3. A minimum of three online tests, a set of online homework, a set of quizzes, and a comprehensive final departmental examination must be given. The final examination must be taken by all students. The final examination is proctored. It means that you will take at a testing center or anywhere in the United States or outside of the United States. If you live outside of Houston, Texas, or you are unable to commute to a testing center, Page 3 of 10 4. 5. 6. 7. 8. you should provide our Distance Education Department with the name and contact information of your proctor as soon as the course starts. Do not contact me. All major tests should be announced at least one week or the equivalent in advance. The final exam is 30 percent of your final average. The final course average will be used in the usual manner (90-100 "A"; 80-89 "B"; 70-79 "C"; 60-69 "D"; Below 60 "F"). Neither an open book nor a take home major test may be given at the discretion of the instructor.[Does not apply to Online Students for tests] Any review sheet should be comprehensive and the student should not feel that classroom notes, homework, and tests may be ignored in favor of the review sheet for any examination. Course Evaluation Method YOUR FINAL GRADE IS NOT WHAT YOU SEE IN WEBASSIGN. THE GRADE CALCULATION BELOW WILL BE USED Test Number One Test Number Two Test Number Three Weekly Quizzes Home Work Final Exam 15% 15% 15% 15% 10% 30% Your final grade assignment Final Average 89.5 – 100 79.5 - 89.4 69.5- 79.4 59.5 - 69.4 Below 59.5 Final Grade A B C D F Note: The Professor will not give a W grade HCC Policy Statement - ADA Services to Students with Disabilities Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at his or her respective college at the beginning of each semester. Faculty members are authorized to provide only the accommodations requested by the Disability Support Services Office. Persons needing accommodations due to a documented disability should contact the ADA counselor for their college as soon as possible. For questions, please contact Donna Price at 713.718.5165. To visit the ADA Web site, please visit www.hccs.edu then click Future students, scroll down the page and click on the words Disability Information. The Distance Education Student Handbook contains policies and procedures unique to the DE student. It is the student's responsibility to be familiar with the handbook's contents and part of the mandatory orientation. The handbook contains valuable information, answers, and resources, such as DE contacts, policies and procedures (how to drop, attendance requirements, etc.), student services (ADA, financial aid, degree planning, etc.), course information, testing procedures, technical support, and academic calendars. Refer to the DE Student Handbook by visiting this link: http://de.hccs.edu/de/de-student-handbook Page 4 of 10 HCC Policy Statement: Title IX HCC is committed to provide a learning and working environment that is free from discrimination on the basis of sex which includes all forms of sexual misconduct. Title IX of the Education Amendments of 1972 requires that when a complaint is filed, a prompt and thorough investigation is initiated. Complaints may be filed with the HCC Title IX Coordinator available at 713 7188271 or email at oie@hccs.edu. HCC Policy Statement: Academic Honesty A student who is academically dishonest is, by definition, not showing that the coursework has been learned, and that student is claiming an advantage not available to other students. The instructor is responsible for measuring each student's individual achievements and also for ensuring that all students compete on a level playing field. Thus, in our system, the instructor has teaching, grading, and enforcement roles. You are expected to be familiar with the University's Policy on Academic Honesty, found in the catalog. What that means is: If you are charged with an offense, pleading ignorance of the rules will not help you. Students are responsible for conducting themselves with honor and integrity in fulfilling course requirements. Penalties and/or disciplinary proceedings may be initiated by College System officials against a student accused of scholastic dishonesty. “Scholastic dishonesty”: includes, but is not limited to, cheating on a test, plagiarism, and collusion. Cheating on a test includes:  Copying from another students’ test paper;  Using materials not authorized by the person giving the test;  Collaborating with another student during a test without authorization;  Knowingly using, buying, selling, stealing, transporting, or soliciting in whole or part the contents of a test not yet administered;  Bribing another person to obtain a test that is to be administered. Plagiarism means the appropriation of another’s work and the unacknowledged incorporation of that work in one’s own written work offered for credit. Collusion mean the unauthorized collaboration with another person in preparing written work offered for credit. Possible punishments for academic dishonesty may include a grade of 0 or F in the particular assignment, failure in the course, and/or recommendation for probation or dismissal from the College System. (See the Student Handbook) A student who is academically dishonest is, by definition, not showing that the coursework has been learned, and that student is claiming an advantage not available to other students. The instructor is responsible for measuring each student's individual achievements and also for ensuring that all students compete on a level playing field. Thus, in our system, the instructor has teaching, grading, and enforcement roles. You are expected to be familiar with the University's Policy on Academic Honesty, found in the catalog. What that means is: If you are charged with an offense, pleading ignorance of the rules will not help you. Students are responsible for conducting themselves with honor and integrity in fulfilling course requirements. Penalties and/or disciplinary proceedings may be initiated by College System officials against a student accused of scholastic dishonesty. “Scholastic dishonesty”: includes, but is not limited to, cheating on a test, plagiarism, and collusion. Cheating on a test includes:  Copying from another students’ test paper;  Using materials not authorized by the person giving the test;  Collaborating with another student during a test without authorization;  Knowingly using, buying, selling, stealing, transporting, or soliciting in whole or part the contents of a test not yet administered;  Bribing another person to obtain a test that is to be administered. Plagiarism means the appropriation of another’s work and the unacknowledged incorporation of that work in one’s own written work offered for credit. Collusion mean the unauthorized collaboration with another person in preparing written work offered for credit. Possible punishments for academic dishonesty may include a grade of 0 or F in the particular assignment, failure in the course, and/or recommendation for probation or dismissal from the College System. (See the Student Handbook) Page 5 of 10 HCC Policy Statements Class Attendance - It is important that you come to class! Attending class regularly is the best way to succeed in this class. Research has shown that the single most important factor in student success is attendance. Simply put, going to class greatly increases your ability to succeed. You are expected to be on time at the beginning of each class period. For complete information regarding Houston Community College’s policies on attendance, please refer to the Student Handbook. You are responsible for materials covered during your absences. Class attendance is checked daily. Although it is your responsibility to drop a course for nonattendance, the instructor has the authority to drop you for excessive absences. If you are not attending class, you are not learning the information. As the information that is discussed in class is important for your career, students may be dropped from a course after accumulating absences in excess of six (6) hours of instruction. The six hours of class time would include any total classes missed or for excessive tardiness or leaving class early. You may decide NOT to come to class for whatever reason. As an adult making the decision not to attend, you do not have to notify the instructor prior to missing a class. However, if this happens too many times, you may suddenly find that you have “lost” the class. Poor attendance records tend to correlate with poor grades. If you miss any class, including the first week, you are responsible for all material missed. It is a good idea to find a friend or a buddy in class who would be willing to share class notes or discussion or be able to hand in your work if you unavoidably miss a class HCC Course Withdrawal Policy If you feel that you cannot complete this course, you will need to withdraw from the course prior to the final date of withdrawal. Before, you withdraw from your course; please take the time to meet with the instructor to discuss why you feel it is necessary to do so. The instructor may be able to provide you with suggestions that would enable you to complete the course. Your success is very important. Beginning in fall 2007, the Texas Legislature passed a law limiting first time entering freshmen to no more than SIX total course withdrawals throughout their educational career in obtaining a certificate and/or degree. To help students avoid having to drop/withdraw from any class, HCC has instituted an Early Alert process by which your professor may “alert” you and HCC counselors that you might fail a class because of excessive absences and/or poor academic performance. It is your responsibility to visit with your professor or a counselor to learn about what, if any, HCC interventions might be available to assist you – online tutoring, child care, financial aid, job placement, etc. – to stay in class and improve your academic performance. If you plan on withdrawing from your class, you MUST contact a HCC counselor or your professor prior to withdrawing (dropping) the class for approval and this must be done PRIOR to the withdrawal deadline to receive a “W” on your transcript. **Final withdrawal deadlines vary each semester and/or depending on class length, please visit the online registration calendars, HCC schedule of classes and catalog, any HCC Registration Office, or any HCC counselor to determine class withdrawal deadlines. Remember to allow a 24-hour response time when communicating via email and/or telephone with a professor and/or counselor. Do not submit a request to discuss withdrawal options less than a day before the deadline. If you do not withdraw before the deadline, you will receive the grade that you are making in the class as your final grade. The last day to withdraw Nov 7 by 4:30 PM Repeat Course Fee The State of Texas encourages students to complete college without having to repeat failed classes. To increase student success, students who repeat the same course more than twice, are required to pay extra tuition. The purpose of this extra tuition fee is to encourage students to pass their courses and to graduate. Effective fall 2006, HCC will charge a higher tuition rate to students registering the third or subsequent time for a course. If you are considering course withdrawal because you are not earning passing grades, confer with your instructor/counselor as early as possible about your study habits, reading and writing homework, test taking skills, attendance, course participation, and opportunities for tutoring or other assistance that might be available. Classroom Behavior Use of Camera and/or Recording Devices As a student active in the learning community of this course, it is your responsibility to be respectful of the learning atmosphere in your classroom. To show respect of your fellow students and instructor, you will turn off your phone and other electronic devices, and will not use these devices in the classroom unless you receive permission from the instructor. Page 6 of 10 Use of recording devices, including camera phones and tape recorders, is prohibited in classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Office for Students with Disabilities for information regarding reasonable accommodations Use of Camera and/or Recording Devices As a student active in the learning community of this course, it is your responsibility to be respectful of the learning atmosphere in your classroom. To show respect of your fellow students and instructor, you will turn off your phone and other electronic devices, and will not use these devices in the classroom unless you receive permission from the instructor. Use of recording devices, including camera phones and tape recorders, is prohibited in classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Office for Students with Disabilities for information regarding reasonable accommodations Instructor Requirements As students in this class, it is your responsibility to develop and maintain a positive learning environment for everyone. Your instructor takes this responsibility very seriously and will inform you if your behavior makes it difficult for your classmates to perform their duties. As a fellow learner, you are asked to respect the learning needs of your classmates and assist your instructor in achieving this critical goal. Use of foul languages and display of any illegal item is highly prohibited. Use of Camera and/or Recording Devices As a student active in the learning community of this course, it is your responsibility to be respectful of the learning atmosphere in your classroom. To show respect of your fellow students and instructor, you will turn off your phone and other electronic devices, and will not use these devices in the classroom unless you receive permission from the instructor. Use of recording devices, including camera phones and tape recorders, is prohibited in classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Office for Students with Disabilities for information regarding reasonable accommodations. To begin the course 1. Read the syllabus completely 2. Make sure to register in ConnectMath.com using your purchased access code (also bundled with your textbook). You must use the Course Class Key: hccs 1507 8475 to register. Login to Webassign.net where all your homework sets, weekly quizzes, tests and final examinations are located. 3. To prepare for homework, quizzes, tests, etc, read or review the contents from powerpoints, your textbook; watch any video associated with the contents for the assessment. You may also consult other resources available such as practice tests. Page 7 of 10 4. Even though all your homework sets are due later, complete homework set 1 before the date of test one; complete homework set two before the date of test two, etc. This increases your chance of passing the each test. 5. Even though due dates for quizzes are in later, complete quizzes for chapters 11 and 12 before taking test one, chapters 13 before taking test 2, etc. 6. Your quizzes, homework sets, tests are online. Your final examination is online and must be proctored. Please read information about proctoring on Eagle Online. 7. Your final examination will be proctored. You are responsible for providing the name and information for the proctor(s). 8. I am also available for proctoring at Northline Campus on Tuesdays and Thursdays from 7:00 AM to 12:00 Noon. Let me know when you are coming. 9. You must complete all the quizzes on or before the due date. No extension request will be granted for tests. 10. Use togbac.sapolucia@hccs.edu to contact if you have any question. I prefer you contact me via the e-mail address provided here, as I may not be in my office when the call is made. Your questions and concerns will be promptly addressed. STUDENTS LIVING OUT OF THE HCC SERVICE AREA Students living out of the HCC service area during the semester in which they are enrolled at HCC in online classes need to make special arrangements to accommodate their needs. In the event the course requires onsite exams, it is the student's responsibility to obtain a proctor. This proctor must be someone in the testing center at a local community college or at a university. The proctor will need to provide a secure testing environment and possibly (depending on the course) a computer with Internet access. A valid picture ID must be presented to the proctor when taking the exam. All fees associated with proctoring are the responsibility of the student. Exams will be sent via fax, email, or US mail directly to the proctor with instructions for administering the exams. This will be done at no cost to the student; however, the student WILL BE responsible for fees associated with returning the exams (including costs of overnight express, etc. to meet deadlines). The proctor approval form MUST be completed and approved at least 3 weeks Prior to Final Exam Ayesha.gates@hcccs.edu Do not contact me about anything that has to do with PROCTORING. Contact the following persons below. Period for this course. For additional questions, contact Page 8 of 10 Eva Gonzalez Program Coordinator 713.718.5152 Email: eva.gonzalez@hccs.edu Ayesha T. Gates Instructional Support Specialist Distance Education ayesha.gates@hccs.edu phone: 7137185286 Wyne Moten Instructional Support Specialist wyne.moten@hccs.edu 713-718-5210 Grading Scale 90 - 100 = A 80 - 89 = B 70 - 79 = C 60 - 69 = D Below 60 = F Personal Communication Device Policy: All personal communication devices (any device with communication capabilities including but not limited to cell phones, blackberries, pagers, cameras, palmtop computers, lap tops, PDA's, radios, headsets, portable fax machines, recorders, organizers, databanks, and electronic dictionaries or translators) must be muted or turned off during class. Such activity during class time is deemed to be disruptive to the academic process. Personal communication devices are to not be on the student desk during examinations. Usage of such devices during exams is expressly prohibited during examinations and will be considered cheating (see academic honesty section above). Student Course Reinstatement Policy: Students have a responsibility to arrange payment for their classes when they register, either through cash, credit card, financial aid, or the installment plan. Faculty members have a responsibility to check their class rolls regularly, especially during the early weeks of a term, and reconcile the official class roll to ensure that no one is attending class whose name does not appear on it. Students who are dropped from their courses for nonpayment of tuition and fees who request reinstatement after the official date of record (OE Date) can be reinstated by making payment in full and paying an additional \$75 per course reinstatement fee. A student requesting reinstatement should present the registrar with a completed Enrollment Authorization Form with the signature of the instructor, department chair, or dean who should verify that the student has been attending class regularly. Students who are reinstated are responsible for all course policies and procedures, including attendance requirements. Resources: Free tutoring is available in Northline Tutorial Center. Additional help is also available through Northeast College and through Student Support Services. Students can get free assistance, 24 hours a day, 7 days a week, in Math, English and other subjects, at www.hccs.askonline.net. Typically, posted questions are answered by an HCC tutor or faculty within 24 hours (usually under 6 hours). There are also several online math resources that you can find with an internet search. You may also find information on the Learning Web site accessible through your specific HCCS campus website. Learning Resources and Tutorials Free tutoring is available at Northline Campus. Additional help is also available through and through Student Support Services. Students can get free assistance, 24 hours a day, 7 days a week, in Math, English and other subjects, at www.hccs.askonline.net. Typically, posted questions are answered by an HCC tutor or faculty within 24 hours (usually under 6 hours). There are also several Page 9 of 10 online math resources that you can find with an internet search. You may also find information on the Learning Web site accessible through your specific HCCS campus website. Free Tutoring & Computer Computers are always available for class assignments, essays term papers, Power Point presentations, or Computer Science projects. Open Lab Hours: Northline Campus Room 423 Lab Front Desk 713.718.2674 Mon-Thurs 9 am - 9 pm Friday 10 am - 4 pm Sat 10 am - 4 pm Learning Center Lab Manager 8001 Fulton St. Houston, TX 77022 713.718-8189 patrick.teoh@hccs.edu EGLS3 -- Evaluation for Greater Learning Student Survey System At Houston Community College, professors believe that thoughtful student feedback is necessary to improve teaching and learning. During a designated time, you will be asked to answer a short online survey of research-based questions related to instruction. The anonymous results of the survey will be made available to your professors and division chairs for continual improvement of instruction. Look for the survey as part of the Houston Community College Student System online near the end of the term. Visit www.hccs.edu/EGLS3 for more information. Administration contact information College - Level Math Courses Chair of Math Jaime Hernandez - Secretary SW Campus 713-718-7772 Stafford, Scarcella, N108 SW Campus 713-718-7770 Stafford, Scarcella, N108 Math Assoc. Chair Roderick McBane CE Campus 713-718-6644 San Jacinto Building, Rm 369 Math Assoc. Chair Ernest Lowery NW Campus 713-718-5512 Katy Campus Building, Rm 112 Math Assoc. Chair Mahmoud Basharat NE Campus 713-718-2438 Codwell Hall Rm 105 Developmental Math Courses Chair of Dev. Math Susan Fife SE Campus 713-718-7241 Felix Morales Building, Rm 124 Carmen Vasquez SE Campus 713-718-7056 Felix Morales Building, Rm 124 Dev. Math Assoc. Chair Marisol Montemayor SE Campus 713-718-7153 Felix Morales Building, Rm 124 Dev. Math Assoc. Chair Jack Hatton 713-718-2434 Northline Building, Room 321 - Secretary NE Campus For issues related to your class, please first contact your instructor. If you need to contact departmental administration, then contact the appropriate Associate Chair. If further administrative contact is necessary, then contact the appropriate Department Chair. Page 10 of 10