Syllabus for MTH283-Multivariable Calculus for Engineers Spring 2016 January 18 March 11, 2016

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1 Cleveland State University Department of Mathematics Syllabus for MTH283-Multivariable Calculus for Engineers Spring 2016 January 18 March 11, 2016 Credit Hours: 2. Pre-requisites: A grade of C or better in MTH 182. Multivariate calculus including threedimensional analytic geometry, partial derivatives, multiple integrals. Students who have passed MTH 281 may not register for MTH 283. Text: Calculus Early Transcendentals, 2 nd Ed., Jon Rogawski, WH Freeman. Instructor: Professor Aloi Section 470 Office: RT1503 Class Time: MTWF 9:10am-10:00am Classroom: MC d.aloi@csuohio.edu Office Hours: MTWF 11:15am-12:15pm Background: We assume you've got a working knowledge of Calculus I and II, Alg. and Trig. Learning Outcomes: The successful MTH283 student should be able to: Graph and find the equation of a line and plane in space. Graph and find the equations of surfaces in space such as cylinders and quadric surfaces. Differentiate and integrate vector-valued functions. Find the unit tangent vector and principal unit normal vector of a smooth curve and use to find the arc length and curvature. Find the tangential and normal components of acceleration for a smooth curve. Describe graphs, level curves and level surfaces of functions of several variables and evaluate limits of functions of several variables. Discuss the continuity and differentiability of a function of several variables. Find partial derivatives, directional derivatives, gradients and differentials of functions of several variables and use them to solve applied problems. Find equations of tangent planes and normal lines to surfaces (including parametric surfaces). Use the chain rule for functions of several variables (including implicit differentiation). Find extrema of functions of several variables using the second partials test and solve applied problems. Evaluate iterated integrals and use them to find the area of plane regions. Evaluate multiple integrals in rectangular and polar coordinates and use them to solve applications involving volume, surface area, density, moment and centroids.

2 Attendance/Class participation: Regular attendance is expected. While there are occasionally good reasons to miss class, regular attendance (as long as you are awake and listening) will assist you in learning. Blackboard: Blackboard is an online learning system. It is used for quizzes, grades, handouts, etc. To access Blackboard go to then log in using your student ID as username and password. See your instructor if you have trouble. You may link to the homework directly at All students should check Blackboard regularly for announcements, grades, links to useful websites/applets, and copies of documents and presentations used in class. Homework: Homework for this course is principally online homework through the WeBWorK homework system. There may be occasional paper and pen/pencil assignments. Firefox, Safari or Chrome are the recommended browsers for use with the online homework assignments. Internet Explorer is not recommended. IE will work correctly with most problems, but not all. A link to download Firefox is provided through IS&T, the University s technical support website. Again, the link to the homework is Bookmark this link on your computer so that you can easily access the homework directly without going through Blackboard. Students are expected to work on homework assignments as the material is covered. There will be no extensions for homework assignments unless a student has a documentable extended absence from class. Students who leave the homework to the end of the assignment period often find they are unable to complete the assignment on time. No paper submissions of WeBWorK homework will be accepted. Occasionally students experience difficulties with the technology associated with the online homework system. Start the homework early so that you have time to resolve any problems you may have. Inform the instructor immediately if a problem does not seem to be working correctly. Homework assignments are similar for all students, but usually not exactly the same. You are encouraged to work together on homework assignments, though too much reliance on your peers may result in a good homework grade without mastery of the material. Get whatever help you need to do the homework, but make sure that you are able to work all problems yourself after receiving assistance. It is generally not productive to get assistance without first attempting the problems. You may also ask questions or share ideas about homework assignments via the Blackboard discussion board. The WeBWorK system provides immediate feedback on whether your work is correct. Use this system to improve your mastery of course material. Students who do well on homework assignments generally do well in the class. Students who neglect the homework generally withdraw from or fail the class. You may retry nearly any online homework problem as often as you wish, so you might as well work on the problem until you master it.

3 Grading: % Unit tests ~30% each) 90% Homework Assignments (includes written and online) 10% Total 100% Unit Tests: Retain all tests until the term is over. Make-up Policy: 1) Make ups are for students who missed a test and have provided a documented valid reason for doing so (such as a doctor s note, policy traffic accident report or judicial mandatory court attendance) and are arranged by the instructor. A student who misses a test for a valid and documented reason must: a) Contact the instructor immediately b) Make it up within three days (exclusive of weekends or university holidays). 2) Homework sets are assigned a due date. Students who miss the due date will receive a zero for that assignment. Grading Scale: Grade Minimum Points % A %-100% A %-92% B %-89% B %-85% B %-82% C %-79% C %-74% D %-69% F 0 0%-59% Withdrawals: Withdrawing from the course may put you in violation of the federally mandated standards for academic progress (SAP) that you must maintain to be eligible for financial aid. Read the information at this link before considering withdrawing from the course: for information about the implications of withdrawing from the course for your financial aid or visit Campus 411. Calculator Policy: Use of a graphing calculator is an integral part of the course. All students are required to have one, and know how to operate it. Calculators with equivalent capabilities, such as the TI-83 and TI-84, are also accepted. Calculators with symbolic capacity, such as the TI-89 series, TI-92 series, Voyage 200, and TI- NSpire CAS are prohibited on exams. Students that own such calculators will be provided with a TI84+ for tests.

4 Scholastic Dishonesty: Cheating of any form is not acceptable and it will be dealt with harshly if detected. If not detected, you will still be punished since you will be ill-prepared for future exams in this course or future courses. In addition, it degrades the value of a CSU degree. Copying work done by others, in or out of class, is an act of scholastic dishonesty and it will be prosecuted to the full extent allowed by university policy. Collaboration on assignments is permitted and encouraged, however if you submit work with your name on it then it is expected that you understand that material and would be able to do subsequent work on that material without assistance. For more information regarding scholastic dishonesty, see the Code of Student Conduct. Use of a cell phone or any other communication device is prohibited during exams. Violation of this policy will result in a score of 0 (zero) in the exam where the violation took place. Disabilities Statement: Educational access is the provision of classroom accommodations, auxiliary aids and services to ensure equal educational opportunities for all students regardless of their disability. Any student who feels he or she may need an accommodation based on the impact of a disability should contact the Office of Disability Services at (216) The Office is located in MC 147. Accommodations need to be requested in advance and will not be granted retroactively. Assistance for Success: The KEY to success is to get help when you are confused. Do so as soon as you can. Here are some suggestions about how to clear up your confusion. Ask questions about the material or lecture during class. Chances are that other students are also confused and a brief question in class may save you hours of frustration later. Go to the Math Learning Center (MC 230) for free tutoring. Check for hours. Come to my office during office hours. No question is too small, but please be prepared with specific questions. Try to do as much as possible to pinpoint your confusion before seeing me so that we can make effective use of our time together. Bring any work you have done so far. If you cannot attend office hours, feel free to contact me and make an appointment. For general academic help the Tutoring & Academic Success Center (MC 233, ) runs workshops about time management, test taking skills, study skills, etc.

5 Schedule of Classes and Unit Tests: Note that the schedule below is approximate. We will often be slightly ahead or behind the schedule given. Week of Monday Tuesday Wednesday Friday Jan. 18 Martin Luther King Jr. s Day-no class Jan Planes in Three-Space 12.1 Vectors in the Plane 12.2 Vectors in Three Dimensions 13.1 Vector-Valued 12.2 Vectors in Three Dimensions 12.3 Dot Product and the Angle Between Two Vectors 13.2 Calculus of Vector-Valued 12.3 Dot Product and the Angle Between Two Vectors 12.4 The Cross Product 13.2 Calculus of Vector-Valued Feb Arc Length and Speed 13.3 Arc Length and Speed 13.4 Curvature 13.4 Curvature Review Feb. 8 Exam of Two or More Variables 14.3 Partial Derivatives 14.3 Partial Derivatives Feb. 15 President s Day-no class 14.4 Differentiability and Tangent Planes 14.5 The Gradient and Directional Derivatives 14.6 The Chain Rule Feb Optimization in Several Variables 14.7 Optimization in Several Variables Review Exam 2 Feb Integration in Variables 15.2 Double Integrals over More General Regions 15.2 Double Integrals over More General Regions 15.4 Integration in Polar Coordinates Mar Integration in Polar Coordinates Review Review Exam 3

SOUTHWEST COLLEGE Department of Mathematics

SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 2415: CALCULUS III (DISTANCE EDUCATION) SPRING 2015 / SS TERM / CRN 48306 / FEBRUARY 14 MAY 17/ INSTRUCTOR: Dr. Jaime L. Hernández CONTACT