NAMEPRACTICAL/TUTORIAL GROUP Unit Course book Calculus III Course code:Mth 301 CCA Unit Coordinator Heydr Naser Moradi 2012/2013 Soran University Faculty of Science Department of Mathematics Stage 3 Welcome to department of mathematics at Soran University. This handbook summarise all the general information you need to guide you during the 3rd stage of your selected course. This booklet also describes in details the content of CalculusIII unit, the names of academic staff who will teach the unit, and what you will be expected to do to make sure your success in this unit. We hope you enjoy the unit and that you will find the work inspiring and challenging. Keep in mind that good attendance at lectures and tutorials is important to give you a good basis for work throughout the course. If any students may experience difficulty with this unit, is important to sort things out as soon as possible. Make an appointment with unit coordinator who may be able to help, your year tutor, or other academic staff that involved with this unit. Please note: you are provided with a hardcopy of teaching materials. It may be necessary to change the order of lectures, deadlines etc, which you will be informed. Therefore, it is ESSENTIAL that you check the Department of Mathematics notice board regularly in order to keep up to date with any changes. Education Aims: This course covers Double and Iterated Integrals over Rectangles, Double Integrals over General Regions, Area by Double Integration, Triple Integrals in Rectangular Coordinates, Triple Integrals in Cylindrical and Spherical Coordinates, Line Integrals, Vector Fields and Line Integrals, Green's Theorem in the Plane, Stokes’s Theorem, Fourier Series, Dirichlet theorem. Communications with Academic Staff This handbook gives information on how to contact and communicate with staff. We provide room numbers and email addresses of staff to you. The staffs in this department want to help you as much as possible so that you will be successful in your programme. We also want to encourage you to take responsibility for yourselves and for your learning so it will help you in your future careers. The email rules * Write your email in acceptable English. * In your emails you must include: full name, stage, department and the unit title. * We only respond to queries from students using genuine/Soran University email accounts. * Appointments can be arranged through the email system, if you wish. * We respond to genuine problems and queries as soon as possible, normally within 7 days. * We will not respond to emails which do not have a subject line. Staff associated with the unit: Staff Room Number Email Heydr Naser Moradi Instructors Room Dep. Math. Heydar_math@yahoo.com Soran University Department of Mathematics Unit: CalculusIII Credit 4 Method of Assessment: 2 sessions/week, 2 hours/ session Examination and grading Exams 40% Final 60% Unit Timetable/Content Week Lecture Title & Content 1Double and Iterated Integrals over Rectangles, Double Integrals over General Regions2Area by Double Integration3Double Integrals in Polar Form4Problem solving sessions, Exam1 5Triple Integrals in Rectangular Coordinates6Moments and Centers of Mass7Triple Integrals in Cylindrical and Spherical Coordinates8Substitutions in Multiple Integrals9Problem solving sessions, Exam210Line Integrals, Vector Fields and Line Integrals11Work, Circulation, and Flux12Path Independence, Conservative Fields, and Potential Functions13Green's Theorem in the Plane14Problem solving sessions, Exam315Surface Area and Surface Integrals16Parameterized Surfaces17Stokes’s Theorem18The Divergence Theorem and a Unified Theory19Problem solving sessions, Exam420Fourier Series, Dirichlet theorem21Fourier Sine Series, Fourier Cosine Series22Problem solving sessions, Exam523Half-rang Fourier Series24Application of Fourier Series25Double Fourier Series26Problem solving27Final Exam Recommended Reading 1. Thomas G.B., Weir, Hass, Giordano. Thomas's calculus, 11ed., AW, 2004 2. Adams, Robert A., Calculus a complete course, 6ed., PAW, 2006