Course Outline Course Details Course Name: Calculus III for Engineers Course Number: Course Code (CRN): Year & Term: MATH 223 Required Text: Course Website: Restrictoos: Prerequisites: Importaot Note: 81087 (secton 01) & 81088 (secton 05) 2018-2019 Term 1 Calculus: A Complete Course, 9th editon, Robert A. Adams and Christopher Essex. We will not use MyMathLab. Blackboard/Course Tools Enrolment in the College of Engineering or enrolment in the College of Arts and Science with a major in Mathematcal hysics or hysics MATH 123 and 124 Engineering students may take this course with prerequisite of MATH 110 and 116 if they seek permission of the Engineering Students' Centre. Arts & Science students majoring in Mathematcal hysics or hysics may receive permission to take this course by contactng the Department of Mathematcs and Statstcs. Students with credit for MATH 225 or 276 may not take this course for credit. Instructor Details Course coordioator: Dr. George atrick Office: 211 McLean Hall Cootact: 306-966-6084, patrick@math.usask.ca Office Hours: By appointment Iostructor: Dr. Mohamad S. Alwan Office: 212 McLean Hall Cootact: 306-966-6108, m.alwan@math.usask.ca Office Hours: By appointment age | 1 Schedule Lectures: Labs: Sectoo 01 05 L01 L02 L03 L04 Day MWF MWF M M M M Iostructor M. Alwan G. atrick TBA TBA TBA TBA Time 11:30-12:20 1:30-2:20 4:30-5:50 4:30-5:50 4:30-5:50 4:30-5:50 Locatoo ARTS 146 ARTS 146 ARTS 134 ARTS 133 ARTS 263 ARTS 102 Course Description Vectors and coordinate geometry in 3-space; vector functons and curves; partal differentaton; applicatons to partal derivatves; multple integraton. Course Overview We will cover the following topics from Calculus: A Complete Course by Adams and Essex: vectors and coordinate geometry in 3-space (10.1-10.7), vector functons and curves (11.111.5), partal differentaton (12.1-12.9), applicatons of partal derivatves (13.1-13.4), multple integraton (14.1-14.7), as tme permits. The topics in Chapter 10.1-10.6 are review material; you are responsible to independently study those sectons. You must atend the lectures: the actual topics are a selecton from those in the textbook and the lectures may include details and techniques that are not in the textbook. Learning Outcomes On successful completon of this course, students should be able to: calculate and apply cross product, dot product, and equatons of lines and planes; be familiar with polar, cylindrical, and spherical coordinate systems; calculate and apply derivatves and integrals of vector-valued functons; be familiar with radial and transverse velocity and acceleraton in polar coordinates; age | 2 calculate partal derivatves, including the use of the chain rule and implicit differentaton; calculate and use multvariate linear and Taylor approximatons; determine if a symmetric matrix is positve defnite, negatve defnite, or indefnite; calculate and classify critcal points of multvariate functons; calculate constrained extrema by the method of Lagrange multpliers; calculate global extrema of multvariate functons on simple closed and bounded domains; calculate and apply double and triple integrals in Cartesian, polar, cylindrical, and spherical coordinates; atain overall familiarity with the theory of multvariate calculus; synthesiee the concepts of multvariate calculus in a problem context. Evaluation Labs 10%; Online blackboard assignments 10%; Midterm tests 40%; Final examinaton 40% Your actual fnal grade will be based upon your raw fnal grade, subject to the discreton of the instructors. We are constrained in the assignment of grades to the University-wide standards, which are published here. In all assessments your solutons will be assigned a leter grade of A, B, C, D, F+, F, or 0, according to the following schedule. Your fnal grade on any assessment will be obtained using the percentage grades assigned to each leter grade, subject to instructor discreton. A (100%) A perfect solutoon aod clearly preseotedi ossibly one trivial error or omission, near the end. B (85%) Nearly perfect solutooi Only minor errors, but they should have been caught. C (70%) Mostly adequate solutooi A complete but errored executon of a correct method. No conceptual error. ossibly one signifcant error or omission. D (60%) Barely passiog solutooi ignifcant omissions or extraneous informaton. resence of one or more severe errors. age | 3 F+ (40%) Failiog solutooi rogress, but signifcantly incomplete. ossibly a defnite conceptual error or multple severe errors. F (20%) Clearly failiog solutooi Something relevant occurs in the soluton. 0 (0%) No relevaot progress or ooo−compliaoce with iostructoosi A grade of eero will be given to a blank page. Academic Misconduct and Appeal Procedures This course will conform to the rules and guidelines for both academic misconduct and appeal procedures. Term Tests and Final Examination There will be two tests, scheduled as follows: Test #1: Monday 15 October 2018, 4:30-5:50 M Test #2: Monday 19 November 2018, 4:30-5:50 M There will be a three-hour comprehensive fnal examinaton held in the regular exam period Dec 8-22. The tme and locaton of the exam will be published here. Tests and examinatons are closed book, no notes, and they are the same for the two sectons of this coordinated course. Essental formulas will be posted on Blackboard and provided with the tests and examinaton. Solutons to the tests are posted on Blackboard at 7:00 M on the day of the test. Midterm and Final Examination Scheduling Midterm and fnal examinatons must be writen on the date scheduled. Final examinatons may be scheduled at any tme during the examinaton period; students should therefore avoid making prior travel, employment, or other commitments for this period. If a student is unable to write an exam through no fault of his or her own for medical or other valid reasons, documentaton must be provided and an opportunity to write the missed exam may be given. Students are encouraged to review all examinaton policies and procedures. Examinations with Access and Equity Services (AES) Students who have disabilites (learning, medical, physical, or mental health) are strongly encouraged to register with Access and Equity Services (AES) if they have not already done so. Students who suspect they may have disabilites should contact AES for advice and referrals. In order to access AES programs and supports, students must follow AES policy and procedures. age | 4 Students registered with AES may request alternatve arrangements for mid-term and fnal examinatons. Students must arrange such accommodatons through AES by the stated deadlines. Calculator Policy You may use a simple scientfc (non-graphing, non-programmable) calculator for all tests and the fnal exam. Approved calculators include: TI 30Xa, TI 30XII, Casio fx-260, Casio fx-300MS, Sharp EL-531X, H 10s. Whether or not a calculator was used, insufciently detailed solutons may not receive full credit. Labs There are four 80-minute lab sectons as indicated above. Students will be assigned to one of these lab sectons during the frst week of classes. Space in the lab rooms is limited so you must go to your assigned secton. There will be weekly lab assignments as indicated on the Tentatve Schedule below. You must hand in your own solutons, although you may discuss the problems with others and with the teaching assistant. You should bring your textbook and notes to the lab. Solutons to the problems will be posted on BlackBoard at 7:00 M on the day of the lab. Blackboard Assignments Blackboard assignments will be posted on a regular basis. You may not collaborate -- the assignment is to be done individually. The use of extraordinary aids -- beyond a simple calculator, notes, and the textbook - such as a symbolic manipulator, or internet collaboraton, is not permited. Hand compute the answers to each queston using only a simple calculator, pencil, and paper. Course Policy on Incomplete Work There will be no “make-up” or “substtute” assignments or tests: the weight of a missed assignment or test will be transferred to the fnal exam if the student has a legitmate reason and provides adequate documentaton. Contact the instructor as soon as possible if you have missed, or will miss, an assignment or term test. You must write the fnal examinaton in order to receiving a passing grade in this course. If for any reason you are not able to write the fnal examinaton at the scheduled tme, contact your College to apply for a Deferred Final Examinaton. age | 5 Help If you have a queston or require help, frst try to resolve the queston by yourself, using your book, your notes and the material posted on the course website. You will fnd beter success in the course by spending a good effort to understand a concept or problem in your own way. If that fails, try the University Math Help Center. Your instructor can resolve many questons by e-mail. lease include “Math 223” in your subject heading when you e-mail us: do not assume that we know you or to which course you are referring. If you are stll having problems, try to arrange an appointment with your instructor. The Department maintains a list of tutors here. age | 6 Tentative Schedule Week Date 1 Sept 5, 7 Topic/Sectoo Vector functons and curves (11.1, 11.3-11.6) Vector functons and curves (11.1, 11.3-11.6) Vector functons and curves (11.1, 11.3-11.6) Vector functons and curves (11.1-11.5) artal differentaton (12.1-12.9) artal differentaton (12.1-12.9) Commeots Read 10.1-10.3 2 Sept 10, 12, 14 3 Sept 17, 19, 21 4 Sept 24, 26, 28 5 Oct 1, 3, 5 6 Oct 10, 12 artal differentaton (12.1-12.9) 7 Oct 15 17, 19 artal differentaton (12.1-12.9) 8 Oct 22, 24, 26 9 10 Oct 29, 31 Nov 2 Nov 5, 7, 9 11 12 Nov 12-16 Nov 19, 21, 23 Multple Integraton (10.6,14.1-14.7) Fall Break Midterm #2 13 Nov 26, 28, 30 Multple Integraton (10.6,14.1-14.7) Lab #7 14 Dec 3, 5, 7 Multple Integraton (10.6,14.1-14.7) Lab #8 Applicatons of partal derivatves (10.7,13-1-13.3) Applicatons of partal derivatves (10.7,13-1-13.3) Multple Integraton (10.6,14.1-14.7) Read 10.4-10.6 Lab #1 Lab #2 Lab #3 No lecture Oct 8 No lab Oct 8 Midterm #1 Lab #4 Lab #5 Lab #6 age | 7