Sandy Belew



428625019050000Calculus with Analytic Geometry IIISpring 2019 CRN 49725372618013271500Sandy BelewOffice: MS215-FPhone: please email.Email: sbelew@sdccd.eduWebsite: Office Hours:Monday & Wednesday from 10:45 to 11:45 a.m. Tuesday & Thursday TBA You are welcome to come for help during my office hours and can also email me during that time for help. If you are stuck please do email me. I check my email regularly weekdays and sporadically on the weekends. Important Deadlines3990975100330"It's not that I'm so smart; it's just that I stay with problems longer." Albert Einstein00"It's not that I'm so smart; it's just that I stay with problems longer." Albert EinsteinStart date: January 28, 2019End date: May 25, 2019Withdrawal without a "W": February 8, 2019Withdrawal with refund: February 8, 2019Add deadline: February 8, 2019Pass/No Pass: Not available for this courseWithdrawal: April 12, 2019Course DescriptionThis course includes the algebra and geometry of 2 and 3 dimensional Euclidean vectors, the algebraand calculus of multivariable functions including composition of functions, limits, continuity, partialdifferentiation, gradients, higher order derivatives, the chain rule, constrained and unconstrainedoptimization including Lagrange's theorem, multiple integrals, integrals over paths and surfaces, andintegral theorems of vector analysis. This course is intended as a general introduction to the theory and applications of multivariable calculus. This course is essential for most upper division courses inmathematics and forms part of the foundation for engineering and physics. The course is intended for the students interested and/or planning to major in mathematics, physics, astronomy, engineering, computer science, physical chemistry, operational research, or economics57435750Course CLO's 1. Student will solve a double integral by reversing the order of integration.2. Student will find the work done by a given force field in moving an object along a given curve.Attendance & BehaviorAttendance is mandatory at the community college level. A student may be dropped after having missed 5% of the total class meetings. Any student that exhibits any behavior that is disruptive to the learning of any student in the class will be asked to leave the class, and the instructor will then file the appropriate forms with the Dean of Student Affairs and then determine whether any further action will be taken. The instructor has the authority to have a student removed from class for three days for any disruptive behavior. Texting in class is disruptive and the student will be asked to leave the class. Graphing calculators or other media devices are not allowed on exams. You can use a non-graphing scientific calculator. Class ResoursesCalculus by Tan or Multivariable Calculus by Tan (Calc III version only). We will be covering chapters 11 – 15 from Tan. HomeworkHomework will be assigned daily and collected at each exam. Homework comprises 10% of your course grade. Quizzes & Examinations There will be daily partner quizzes in class and take-home, accounting for 15% of your course grade. The quizzes may occur at any time during the class. They will be random, not necessarily at the beginning of class. The lowest 3 quiz scores will be dropped (possibly 4 if we have a large number of quizzes). There will be four regular exams. There are no make-up quizzes or exams. The lowest exam(or missed exam) can be replaced with the final exam grade. Exams comprise 55% of the course grade. The final is comprehensive and comprises 20% of the course grade. In order to pass the course, you must have a 70% average overall and pass the final exam. Mathematics is comprehensive and you must retain the information learned in this course to be adequately prepared for the following course.WithdrawalsIt is the student’s responsibility to drop any classes that he or she is no longer participating before the deadline stated in the class schedule (also above). For this course, if the students stops participating and does not drop him or herself, he or she will be assigned an F. Students anticipating difficulty in paying fees before the add deadline should check with the Financial Aid Office about sources of funds or other alternatives for which they may be eligible.Student Learning OutcomesUpon successful completion of the course the student will be able to:1. Extend and apply algebraic and geometric concepts of two dimensional vectors in the Cartesian plane to 3-dimensions, including the distance between vectors, vector algebra, and the Euclidean norm of a vector.2. Apply operations involving the inner product, the cross product, and triple scalar product of3-dimensional vectors and use these operations in geometric and physical applications.3. Calculate the angle between vectors, and determine if two vectors are orthogonal.4. Set up the equation of the line in both vector and parametric form, and the equation of a plane in3-space, and calculate the distances between points, planes and lines.5. Recognize, compare, contrast, and sketch the different quadric surfaces.6. Implement changes of variables between rectangular, cylindrical, and spherical coordinates.7. Sketch simple single variable vector-valued functions in R2 and R3.8. Compute the limit, derivative, and integrals of vector-valued functions of one variable.9. Determine and identify the continuity of a single variable vector-valued function at a single point and throughout a set.10. Compute the unit tangent vector, principal unit normal vector, the arc length and the curvature of a vector-valued function.11. Design and apply some elementary concepts in point set topology as they relate to sets inmulti-dimensions.12. Describe and apply the formal definitions of limits, and continuity from single variable calculus tofunctions of 2, 3 and n-variables.13. Calculate first as well as higher order partial derivatives of multivariable functions.14. Define the derivative and the concept of the differentials of multivariable functions, and calculate linear and quadratic approximations to multivariable scalar functions.15. Apply the Chain Rule to a composition of multivariable functions.16. Calculate the directional derivative of a multivariable function at a point in a given direction; and the gradient of such a function, applying the properties of the gradient to describe the behavior of the function.17. Calculate the critical points of a differentiable multivariable function in an open ball, and applying the second derivative test, determine if these points are relative maxima, relative minima or saddle points.18. Calculate the derivative of multivariable functions expressed implicitly by an equation, as well asthe derivative of inverse functions.19. Demonstrate use of Lagrange's Theorem to compute the extrema of a multivariable function subject to given constraints.20. Calculate double and triple integrals over rectangular and non-rectangular regions, by iterating, by changing the order of integration, or by changing variables.21. Determine areas, volumes, surface area, mass, centers of mass, and moments of inertia.22. Sketch a vector field and compute its curl and divergence.23. Compute the line integral of a vector-valued function over a piecewise smooth contour.24. Calculate the work done by a vector-valued multivariable function over a piecewise smooth contour.25. Apply the concept of path independence and determine if a vector field is conservative, and if so, calculate its potential energy function.26. Apply Green's, Stokes' and the Divergence Theorems, and calculate surface integrals overparametrized piecewise smooth surfaces to compute flux of a vector field.CheatingCopying any portion of any assignment constitutes cheating. If you have wandering eyes during exams you will be moved to the front of the class. Students are not allowed to use notes, graphing calculators, cell phones or any other media device during exams and quizzes. The use of any of the aforementioned constitutes cheating. If a student is caught cheating in my class I will file the appropriate form with the Dean of Student Affairs and ensure that the incident is recorded on the student’s academic record. Many universities will not accept a student with a record of cheating. Disabled Student Program & Services Students with disabilities who may need academic accommodations should contact me by e-mail or telephone as soon as possible. Disabled Students Programs and Services (DSPS) department can assist you in identifying appropriate accommodation to meet your needs. If you would like further information or have questions contact a DSPS counselor at the DSPS Department located in the Student Services building on the fourth floor (I4-404) or make an appointment by phone (619) 388-2780. Other Math Resources5252720114300Whatever resources best help you to learn! Each other - You are encouraged to work together (this does not include copying)Peer Mentoring Sessions: Tuesday & Thursday 4 – 5:30 p.m. Room TBA, beginning week 2Office Hours! (I am here to help you!)Mathletics Algebra Workshops: TBA (It's cool to be a mathlete!)MT2C Math & Science Tutoring and Computing LRC Monday through Thursday: 9:00 AM to 8:00 PMFriday and Saturday: 10 a.m. – 3 p.puters for student usageSubjects Tutored: All levels Math, Bio, Chem, and PhysicsAppointments Available for Math, Science, Languages, and Writing sdmesa.Phone: (619) 388-2898 : Mesa offers online math tutoring to allllll of its students! If you would like to take advantage of it, contact Nicholas Crumpton (ncrumpton@sdccd.edu).?STAR Tutoring: Individual tutoring sessions in all subject areas by appointment for the entire semester. Eligibility requirements. Please call (619) 388-2706Internet Resources and apps: Use any that you’d like, but please BE PICKY! You want to use the ones that help you to learn/understand the mechanics and concepts in a mathematical sense so that you can build on it and retain it. If they emphasize shortcuts, or you find yourself mimicking the moves, it is most likely not the best use of your time.Puente Project and Mesa Academy provide additional support to students, targeting various ethnic backgrounds. Bridges Program: Community College Research Training and Support Program:7bridges/index.htmlNotes1. Any students with disabilities should meet with me during the first week of class to ensure that any necessary accommodations can be arranged. 2. It is the student’s responsibility to keep all of his or her exams, quizzes and homework assignments should there be any information that is miss-recorded.3. The student is responsible for any and all information given during class, even if the student is absent. Be sure to share phone numbers with a classmate so that you can get copies of notes and any missed information.4. Be sure to drop any classes you do not wish to get a grade in by the drop deadline! ................
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