Course Outline - Mathematics - Ryerson University

MTH 240, Winter 2011 1Ryerson UniversityDepartment of MathematicsCalculus II (MTH 240), Winter 2011Instructor: Dr. Changping WangOffice:ENG233Email:cpwang@ryerson.caTelephone: 416 979-5000 ext 7064Office hours: Wednesdays 1-3pmWeb Info: The MTH240 “Blackboard” webpageCourse Objectives:1. To continue to gain a facility with the concepts and techniques of differential and integral calculus.2. To continue to build a strong foundation in calculus as preparation for subsequent courses in mathematics andengineering.3. To continue to nurture the student’s ability in analytic thinking and problem-solving.Course Text:1. Calculus, Early Transcendentals (6th ed.), by James Stewart (Thomson, 2008)2. Student Solutions Manual (shrink-wrapped with the above, available at the Ryerson Bookstore.)Teaching Mode:4hrs Lectures/ 1hr Lab per week.Evaluation:• 30% Test 1 (90 minutes, Room TBA) 4PM, Friday, February 18, 2011.• 30% Test 2 (90 minutes, Room TBA) 4PM, Friday, March 25, 2011.• 30% Test 3 (90 minutes) During the examination period.• 10% Lab quizzesMTH 240 COURSE CONTENT 1Chapter 7: Integration Techniques (Sections 1, 2, 3, 4, 5) 2 (approx. 10 hours)Chapter 4: L’Hopitals Rule (Section 4.4) (approx. 2 hours)Chapter 7: Improper Integration Techniques (Section 8) (approx. 2 hours)Chapter 9: First-Order Differential Equations (Sections 3, 5) (approx. 4 hours)Chapter 11: Infinite Sequences and Series (Sections 11.1 - 11.10) (approx. 14 hours)Chapter 14: Functions of Several Variables (Sections 12.1 (Read Text), 14.1, 14.3, 14.5, 14.7)(approx. 14 hours)1 Changes to, and clarifications of, details in this course outline /course management form (such as room numbers for tests) will beannounced to the class on at least two different occasions before they take effect (except in unavoidable emergencies which permit onlyone announcement).2 All chapter, section and page references pertain to Calculus, Early Transcendentals(6th ed), by James Stewart.

MTH 240, Winter 2011 2Evaluation Guideline(check http://www.ryerson.ca/acadcouncil/current/pol135.pdf)1. Both test and the exam will be closed-book and written without calculators or any other aids.2. There will be no supplemental exam.3. Grades will be assigned as indicated in the Ryerson 2009/10 Calendar.4. Each student is responsible, a priori, for all the formulas on pp. 1-2 (next to the front cover of Stewart’s book).5. Any tests written in pencil or erasable pen are ineligible for remarking.6. There is no intrinsic reason for giving a non-zero mark for an incorrect solution. Partial marks (if any) areawarded entirely at the examiner’s discretion. If a test is submitted for re-marking, the whole test may bere-marked. The result may possibly be that the student receives a lower mark on any or all questions.7. Students must read and comply with the Statement on Academic Ethics and the Senate Resolution on AcademicDishonesty as found in the Senate Policy Statements distributed at registration and available in the DepartmentOffice (Calendar 2004/2005). Check also http://www.ryerson.ca/acadcouncil/current/pol60.pdf.Talking to another student, glancing over another student’s paper or being caught with non-allowed materialsduring an evaluation may result in a zero mark for that evaluation and a record of academic misconduct lodgedwith the Registrar’s office.8. During an evaluation sharing of pencils, pens or erasers is NOT PERMITTED and PDAs, phones and pagersmust be turned off and out of reach.9. During any evaluation, coats jackets and bags must be placed out of reach.Missed Tests or Final Exam1. Students who cannot be present for a test or the final exam because of illness must contact contact the FirstYear Common Engineering Office (416-979-5000 ext 4261, ENG377) prior to the time of the evaluation or withinthe time period stated in policy 134. They must also submit a Ryerson-approved medical form filled outby their doctor stating, among other things, that they were too ill to attend school on the day of the test andgiving the expected duration of their illness (blank forms can be obtained from the Mathematics office or fromother academic departments, or from the web at http://www.ryerson.ca/rr/forms.htm). Besides illness,only very serious reasons, properly documented, can be considered as valid excuses for missing an evaluation.For more information on this consult the Calendar or www.ryerson.ca/acadcouncil/current/pol134.pdf, andwww.ryerson.ca/acadcouncil/current/pol150.pdf2. If a test is missed for a valid reason as described above, a student may apply for academic consideration (’INC’grade may be awarded, but only if the term work is ’...at least of passing performance’ - see Calendar), and willhave to write a make up test. All make up tests will be in May 13, 2011 (Room and Time TBA). PLEASENOTE: THERE WILL BE NO ADDITIONAL MAKE-UP TESTS.3. If proper documentation is not received within reasonable time, the mark for the missed test/exam will beZERO.

MTH 240, Winter 2011 4Recommended homework and review problemsAll numbers refer to the course textbook except where noted. “Graphing utility” portions of problemsmay be omitted.Section # Solved examples End-of-section and supplementary problems4.4 1 − 9 odd numbers 3 − 61, 73.7.1 1 − 6 odd numbers 5 − 52.7.2 1 − 9 odd numbers 3 − 54, 67 − 69.7.3 1 − 9 odd numbers 1 − 30.7.4 1 − 9 odd numbers 1 − 52, 55 − 56, 58 − 61.7.5 1 − 5 odd numbers 1 − 80.7.8 1 − 10 odd numbers 1, 5 − 40.Review(p518) Concept Check : 2, 3, 7; T-F Quiz : 1 − 7, 9 − 14;Exercises : odd numbers 1 − 50.9.3 1 − 6 odd numbers 1 − 23, 29 − 32.9.5 1 − 3 odd numbers 1 − 25.Review(p614) Concept Check : 2; T-F Quiz : 1 − 7; Exercises : odd numbers 5 − 13.11.1 1 − 12 odd numbers 3 − 46, 60 − 70.11.2 1 − 9 odd numbers 3 − 51.11.3 1 − 6 odd numbers 3 − 30.11.4 1 − 4 odd numbers 3 − 36, 42.11.5 1 − 4 odd numbers 2 − 20, 23 − 30, 32 − 34.11.6 1 − 6 odd numbers 2 − 32.11.7 1 − 6 odd numbers 1 − 38.11.8 1 − 5 odd numbers 3 − 31.11.9 1 − 8 odd numbers 3 − 26, 37, 38.11.10 1 − 10 odd numbers 3 − 10, 13 − 20, 29 − 37, 55 − 57, 63 − 68.Review(p758) Concept Check : 4, 11, 12; T-F Quiz : 1 − 18; Exercises : odd numbers 1 − 7, 11 − 31, 39 − 47, 51.12.1 Read Text14.1 Read Text14.3 1 − 9 odd numbers 15 − 41, 45 − 56, 61 − 68.14.5 1 − 7 odd numbers 1 − 13, 17 − 26, 52 − 54.14.7 1 − 7 odd numbers 5 − 18, 25 − 36.