MacEwan University Intermediate Calculus I Math 214 (AS40) Fall 2013 Instructor: Phone: Web Page: Office Hours: Sunil Barran Office: 5-107A 780-497-5212 E-mail: barrans@macewan.ca https://bb.macewan.ca & http://academic.macewan.ca/barrans/ MWR: 11:00-12:00, T: 1:00-2:00, in 5-107B T: 11:00-12:00 in 5-206 (Help Centre) Lecture Time: MWF: 12:00-1:00 Lecture Room: 5-301 Course Hours: Lecture 45; Lab 13 Course Description: This course completes the study of single-variable Calculus and introduces students to the basic concepts of multi-variable Calculus. Topics in single-variable Calculus include area and arc length of plane curves defined by parametric or polar equations, infinite series, and power series. Topics in multi-variable Calculus include: vector functions and space curves, functions of several variables and partial derivatives with applications. Course Objectives: The main objective of this course is to prepare students for more advanced calculus courses. Course Prerequisite: Minimum grade of C- in MATH 115 The Faculty of Arts and Science strictly adheres to the notion of prerequisites, and University staff conduct prerequisite checks throughout the term. If it is discovered that you do not have the appropriate prerequisite for this course, you will be withdrawn by the Registrar’s Office. Deciding to remain in the course without the prerequisite may result in a significant financial penalty because you will be responsible for any tuition costs associated with the course up to the date of the withdrawal. Courses transferred to MacEwan University from another post-secondary institution will not be applied to your student record until a transfer credit assessment has been completed. If you believe you have the proper external prerequisite please consult with an advisor in the program office (6-211). Course Corequisite: MATH 214L in 5-121 (there are two sections, so please consult your schedule for the dates) Required Learning Materials: Calculus 7e by James Stewart, Brooks/Cole Other Learning Resources: The Math Help Centre in 5-206 is available to students in all Mathematics courses. Seminars, Assignments and/or Reports: See “Assignments” section below for details. Grade Evaluation: Term Tests (2 x 20%) Final Examination Assignments Labs Total 40% 35% 15% 10% 100% Examination Dates and Locations: Term Test 1 Friday October 4, in class Term Test 2 Friday November 1, in class Final Examination* Wednesday December 11, 1-3pm (2 hours), Location TBD *Students are responsible for verifying the date of the final exam (see here). 1 Template last updated: August 20, 2010 Format of Examinations: written, closed book, no calculators Final Grade: Score Final Grade 95100 A+ 9094 A 8589 A- 8084 B+ 7579 B 7074 B- 6569 C+ 6064 C 5559 C- 5054 D+ 4549 D 044 F Please Note: 1. Official final grades can be accessed through myStudentSystem. MacEwan University adheres to the Alberta Common Grading Scheme, which is a letter grade system. While instructors may use percentages to aid in their grade development, only the letter grade will appear on transcripts. 2. A minimum grade of C- is required to receive transfer credit or to satisfy a prerequisite for a higher level course. 3. A minimum of 40% is required on the final exam in order to obtain a grade of C- or better in the course. Student Responsibilities: Students are expected to be aware of their academic responsibilities as outlined in MacEwan University Policy E3101: Student Rights and Responsibilities (found here). 1. Academic Integrity: All forms of student dishonesty are considered unacceptable. MacEwan University Policy C1000: Academic Integrity (found here) promotes honesty, fairness, respect, trust, and responsibility in all academic work. According to the policy, “Academic dishonesty involves participating in acts by which a person fraudulently gains or intentionally attempts to gain an unfair academic advantage thereby compromising the integrity of the academic process”. All incidents of academic dishonesty are reported and recorded by the Academic Integrity Office. The penalties and sanctions for academic dishonesty can include the following: a mark reduction up to zero on a piece of academic work, a grade reduction up to an F in the course, and suspension or expulsion (with transcript notation) from the University. Please see the academic integrity policy for more details. You are responsible for understanding what constitutes academic dishonesty. 2. Registration Status: You are responsible for your registration status at the University. Program advisors (Rm 6-211) may assist you with the process of registration, including adding or dropping of courses, but it is your responsibility to verify that these changes have been officially completed. This verification can be done at any time using myStudentSystem. You should check your official registration status before the last date to officially withdraw from the course. 3. Withdrawing From The Course: If you stop attending class you must complete a Course Drop Form, have it signed by a Program Advisor (Rm 6-211), and submit it to the Registrar’s Office by the last day to withdraw as provided in the Academic Schedule in the Academic Calendar. Failure to officially withdraw will result in a grade being assigned based on course work completed. Late withdrawals are only allowed in exceptional circumstances. 4. Attendance and Punctuality: While attendance is not graded, you are expected to attend every class. Note that important information regarding assignments and tests may be announced in class at any time throughout the semester. If you miss a class, it is your responsibility to find out what you have missed – the instructor is not responsible for any consequences arising from a student missing any information due to nonattendance. 2 Template last updated: August 20, 2010 Punctuality is expected every class. If you absolutely must be late due to an unforeseen circumstance, please enter quietly and discreetly. 5. Exams: Your student photo I.D. is required at exams. It is at the discretion of the instructor whether you will be allowed to write the exam if you arrive over 15 minutes after the exam has begun. You must remain in the exam room for at least 20 minutes from the time it commenced. Only calculators approved for use by the instructor may be used during examinations, which include any laboratory and lecture quizzes. Any devices capable of external communication, such as cell phones, iPods and blue tooth enabled devices, cannot be used for exams of any type. Permission to use the washroom during exams is at the discretion of the instructor and may require accompaniment. 6. Missed Term Exams: If you miss a term examination you must provide the instructor with an explanation within 24 hours or a mark of zero may be given. Notification may be provided through email, voice mail, or direct contact with the instructor. Official documentation as to why the examination was missed will be needed to assess whether your absence will be excused or not. If your absence is excused the weight of this examination will be added to the weight of the final examination in the course. Medical excuses must include the date you were examined, the specific dates for the period of the illness, a clear statement indicating that the severity of the illness prevented you from attending school or work, and the signature of the examining physician (a signature by office staff on behalf of the physician is not acceptable). Medical notes obtained subsequent to the date of the examination are generally not accepted. A mark of zero will be given if the instructor considers the excuse inappropriate or inadequately substantiated. 7. Deferred Final Exam: A deferred examination will be granted if a student misses the final lecture examination for reasons considered by the Bachelor of Science Program to be unavoidable (deferred examinations do not apply to term or laboratory examinations). An application for a deferred examination must be provided to the Bachelor of Science Program no later than two business days after the date of the missed final examination. Application forms are available from the individual departments within the Bachelor of Science Program (see Cristina Vocaturo in Room 5-107) and must be submitted with appropriate documentation. Students should advise the instructor prior to the examination if they know beforehand that they will be unable to attend the scheduled examination time. Deferred examinations are granted by the Chair, Bachelor of Science Program, not by the course instructor. If you have any questions about the process please contact Program Services (780 497 4520 or science@macewan.ca) or Cristina Vocaturo, 497-5786, VocaturoC@macewan.ca. For further information please refer to MacEwan University Policy C2005: Final Assessment (http://www.macewan.ca/contribute/groups/public/documents/document/pfw_003525.p df) and Policy C2020: Grading (http://www.macewan.ca/contribute/groups/public/documents/document/pfw_003528.p df). Note that C2005 states: only a compelling situation such as serious illness, hospitalization, domestic affliction or religious observance will be considered a valid reason for a student to receive approval for deferral of a final assessment activity and personal vacations are not a sufficient reason. Late Assignments (including laboratory assignments): As due dates for assignments are known well in advance, medical and other excuses are generally not accepted as a reason for submitting late assignments. 8. Cell Phones: All cell phones are to be turned off during class and exam periods (except under exceptional circumstances in which approval has been given by the instructor). 9. Students With Disabilities: Students with disabilities who may have special requirements in this course are advised to discuss their needs with Services to Students with Disabilities located in the Student Resource Centre. You should advise the course instructor(s) of any special needs that are identified. See Policy E3400 Students with Disabilities (found here). 3 Template last updated: August 20, 2010 10. Student Appeals: The University has a policy regarding Student Appeals (E3103, found here). You should access this policy to become aware of the deadlines and guidelines that need to be followed if you are appealing a grade or other University assessment. 11. MyMacEwan.ca Email: All students are given a <name>@mymacewan.ca email address. This email address is available to the course instructor who may distribute relevant course information or announcements via email. The Bachelor of Science Program regularly communicates with students via email. Check your mymacewan.ca email regularly or forward it to an email address you check regularly. If you use email to communicate with your instructor, you must use your mymacewan.ca account. This is to protect your privacy; if a non-mymacewan.ca account is used, there is no way for an instructor to verify the identity of the sender. 12. Other: Calculators are not allowed during examinations. Disclaimer: The information in this course outline is subject to change. Any changes will be announced in class or, if applicable, in the laboratory. Lecture Topics: Chapter 10: Parametric Equations and Polar Coordinates 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates 10.5 Conic Sections Chapter 11: Infinite Sequences and Series 11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests 11.5 Alternating Series 11.6 Absolute Convergence and the Ratio and Root Tests 11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series Chapter 12: Vectors and the Geometry of Space 12. 1 Three-Dimensional Coordinate Systems 12. 2 Vectors 4 Template last updated: August 20, 2010 12.3 The Dot Product 12.4 The Cross Product 12.5 Equations of Lines and Planes 12.6 Cylinders and Quadric Surfaces Chapter 13: Vector Functions 13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 13.3 Arc Length and Curvature 13.4 Motion in Space: Velocity and Acceleration Chapter 14: Partial Derivatives 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Planes and Linear Approximations 14.5 The Chain Rule 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers Schedule (tentative; subject to change): Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Dates Sept.4-6 Sept.9-13 Sept.16-20 Sept.23-27 Sept.30, Oct 1-4 Oct.7-11 Oct.14-18 Oct.21-28 Oct.28-31, Nov.1 Nov. 4-8 Nov.11-15 Nov.18-22 Nov. 25-29 Dec.2 Dec. 11 Lecture Schedule 10.1, 10.2 10.3, 10.4, 10.5 11.1, 11.2, 11.3 11.4, 11.5, 11.6 11.6, 11.7, Term test 1 11.8, 11.9, 11.10 11.10, 12.1, 12.2 12.3, 12.4, 12.5, 12.6 13.1, 13.2, Term test 2 13.3, 13.4, 14.1 14.2, 14.3 14.4, 14.5, 14.6 14.6, 14.7, 14.8 Review Final Exam 1-3 pm Final exam covers all topics in the course Lab Schedule Parametric curves Polar coordinates Conics Series comparison tests Power series Taylor and Maclaurin series Vectors, lines and planes Space curves Arc length and curvature Lab exam Partial derivatives Review for final Notes: October 14, MacEwan is closed for Thanksgiving Day. November 11, MacEwan is closed for Remembrance Day Assignments: All assignments will be posted on Blackboard and also on the course website at http://academic.macewan.ca/barrans/. Hand in your completed assignments to your instructor at the beginning of class on their due dates. Late assignments will not be accepted. Marked assignments will be returned to you in class, and the solutions to the assignments will be posted on Blackboard shortly after the due date. Assignment Submission Procedure: 1. Please use clean edged paper. 2. Make sure your work is neat and well-written: if the grader has difficulties understanding what you have written, you may not recieve credit for your answer. 3. In order to receive full points for a question, you must show all your work and explain the steps of your solution. Note that the grader will grade only what is written on the paper, and that your goal is to convince the grader that you fully understand the solution and all the steps. 4. If you have more than one sheet, please staple them together properly. Do not use paper clips or other devices. 5. If an assignment is not submitted according to the above procedure, a grade of zero will be assigned. 6. When you receive your assignment, make sure that the marks are totaled correctly. It is recommended that you regularly check your answers with the posted solutions on Blackboard. 7. If you feel that a grade has been given in error, then write a note to the grader with a brief explanation of your concern, staple it to the front page of the assignment, and resubmit it with your next assignment for consideration. 5 Template last updated: August 20, 2010