MATH117-Outline-F19 - Fall 2019 Outline PDF

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Warning: TT: undefined function: 32Math 117 – Course Outline – Fall 2019Calculus I for EngineeringLectures: 001 Mondays, Wednesdays, and Fridays: 3:30-4:20, E7 5343 (MW), EIT 1015 (F). Also Thursdays Sept. 12 th/Oct. 31 st/Nov 8 th: 1:30-2:20, E7 5353. 002 Mondays, Tuesdays, and Fridays: 3:30- 4 :20...

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Math 117 – Course Outline – Fall 2019 Calculus I for Engineering Lectures:

001 Mondays, Wednesdays, and Fridays: 3:30-4:20, E7 5343 (MW), EIT 1015 (F). Also Thursdays Sept.12 /Oct.31 /Nov.28 : 1:30-2:20, E7 5353. 002 Mondays, Tuesdays, and Fridays: 3:30-4:20, E7 5353. Also Thursdays Sept.12 /Oct.31 /Nov.28 : 10:30-11:20, E7 5353. 003 Tuesdays, Thursdays: 2:30-3:20. Fridays: 3:30-4:20, E7 5343. Also Thursdays Sept.12 /Oct.31 /Nov.28 : 9:30-10:20: E7 5343. 004 Tuesdays, Wednesdays, and Thursdays: 9:30 – 10:20, QNC 1502. Also Fridays Sept.6 /Sept.20 /Oct.4 : 12:30 – 1:20, QNC 1502. 005 Mondays, Wednesdays, and Fridays: 10:30 – 11:20, MC 1085. Also Thursdays Sept.12 /Sept.26 /Oct.31 : 1:30 – 2:20 MC 1085. There are 15 Tutorial sections in total. See your class schedule. th

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Tutorials:

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Note: As for the rest of your 1A courses, there will be no lectures from Oct.10 to Oct.23 (this covers Thanksgiving, the rest of the Thanksgiving Reading Week, and your Midterm Exam “Week”). th

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Instructors:

Instructor Office Hours: Teaching Assistants:

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D.Harmsworth, Course Notes. Packaged with electronic access to Calculus (Early Transcendentals), Fourth Edition, by Jon Rogawski, Colin Adams, & Robert Franzosa, via the Sapling website. David Harmsworth (coordinator, Lecture sections 004 and 005) MC 6441, [email protected] (519 888 4567) ext. 37205 Mohammad Kohandel (Lecture section 002) MC 6112, [email protected] (519 888 4567) ext. 35458 Eddie Dupont (Lecture section 001) MC 6511, [email protected] (519 888 4567) ext. 31365 Nicholas Funai (Lecture section 003) QNC 4201, [email protected] (519 888 4567) ext. 39067 To be posted on LEARN. A Teaching Assistant will be assigned to each of the 15 tutorial sections. Please be aware that these TAs are not being asked to hold office hours.

INTENDED LEARNING OUTCOMES: By the end of this course, you should be able to: • • • • • •

Demonstrate skill in evaluation of limits, derivatives and integrals Use limits and derivatives to sketch graphs of functions or solve optimization problems Use integration to calculate areas between and lengths of curves, find average values of functions, and calculate volumes of solids of revolution Read and use mathematical definitions Sketch curves described in polar coordinates Use integration to calculate areas enclosed by segments of curves in polar coordinates, and lengths of such curve segments

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Perform various other specific calculations (find partial fraction decompositions, express piecewisedefined functions using the Heaviside function, etc.)

Approximate Schedule:

Chapter

Week

Topics

Part 1:

1

Functions: Definition, Inverses, Composites, Odd and Even, etc.

Functions and

2

Piecewise-Defined Functions, Use of the Heaviside Function. Polynomials,

Other

Rational Functions, Partial Fraction Decomposition.

Fundamentals

The Trigonometric Functions. 3

Inverse Trigonometric Functions. Working with Identities. Intro to Limits.

Part 2:

4

Limits

Limits and

5

Continuity.

Continuity Part 3:

Basics of Differentiation. 6

Differential Calculus

Differentiation skills, Related Rates problems. Midterm Exams begin

7

Thanksgiving and Reading Week

8

Midterm Exams continue Differentials.

9

Curve Sketching and Optimization Techniques.

Part 4:

The Definite Integral, Properties of Definite Integrals, and The Fundamental

Integral

Theorem of Calculus.

Calculus

10

Indefinite Integrals / Antidifferentiation. Integration by Substitution, Integration by Parts.

11

Areas Between Curves. Trigonometric Substitutions. Strategies for Integration of Rational Functions.

12

Some Applications of Integration: Lengths of Curves, Volumes of Solids of Revolution.

Part 5: Polar Coordinates

13/14

Improper Integrals. Polar Coordinates.

ACCESS TO SAPLING: Your textbook package includes an access code for the website. To use it, just go to www.saplinglearning.ca/login and follow the instructions. The specific “course” you need to register in is MATH117 - Fall19 – HARMSWORTH. More detailed instructions will be posted on the course webpage on Desire2Learn (LEARN). GRADING SCHEME: Your final grade will be calculated as the greater of these two numbers: • 6% A + 9% Q + 25% M + 60% F • 0% A + 12% Q + 26% M + 62% F Where • A = Assignments (online, on Sapling) • Q = Quizzes (in tutorials) – best 6 of 8 will count. • M = Midterm Exam (Thursday, October 10 , Time TBA) • F = Final Exam (date to be announced) th

You can see that the Assignments are technically optional; if you choose not to do them regularly then the weight will be distributed to the other course elements. NOTE: This is the first term we have used the Sapling website for this course. We reserve the right to modify the grading scheme above in case we encounter any serious difficulties. ASSIGNMENTS: Each week you will be assigned a set of problems to complete on the “Sapling” website associated with the textbook by Rogawski, Adams, and Franzosa (https://www.saplinglearning.ca). The lecture note package available in the UW bookstore will provide you with electronic access to Sapling website, which gives access to the Rogawski textbook in electronic form and serves as the platform for the online assignments. Instructions for registration have been posted on LEARN. Each assignment has a deadline, but we have tentatively set the late penalty at 1% per day. This is subject to change as we see how it works in practice, but the intent is that you should be able to submit any assignment right up until the last day of classes, and receive at least some credit. QUIZZES / TUTORIALS: You have a two-hour tutorial scheduled each week, starting on September 16 /17 . During the first hour, your teaching assistant will guide you through extra examples or respond to questions from the class. During the second hour, you’ll have a quiz on the previous week’s material. These will be weighted at 1.5% each (assuming that you’re doing the assignments); the best six of the eight grades will count. If you miss a quiz because of illness or a Co-op interview, we’ll take the best 5 grades out of the remaining 7, and if you miss a second one it will be the best 4 out of 6. However, in order to keep the ratio close to the intended 3:4, no accommodation will be given for a third missed quiz; in that case the best 4 of your 5 grades will count. th

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Note: there will be no quiz on October 7 /8 , although you will still have a tutorial. There will also be no quizzes on December 2 /3 . We’ll still hold tutorials on these dates, but they will be dedicated to review for the final exam. th

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HELP: If you’re still struggling with the assignments or course concepts after the tutorials, you can find help in the WEEF lab, or from tutors in Village 1. Details will be posted on LEARN as they are received from the FirstYear Engineering Office. You can also, of course, see your instructor during office hours! The most important thing is to recognize when you are having trouble, and get help as soon as possible – don’t leave your questions until the week before the final exam.

Recommended Weekly Readings:

With the exception of some of the review material in Chapter 1, everything you will be tested on in this course is discussed in the Course Notes. Reading the material before the corresponding lecture is highly recommended. The sections listed from the Rogawski text (accessible as an e-text on the Sapling website) are suggested if you want a different perspective or – for some topics – a more rigorous discussion of the material. Note that section 29 of the course notes is just a list of formulas. Sections 34 and 35 are included as recommended reading, but you should be introduced to complex numbers in one of your other courses.

Week

Reading

1

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Rogawski §1.1-1.3,'1.6' Course'Notes'§1,2' Greek Alphabet Handout Course Notes §3 - 7 (+ part of Rogawski §1.5) Course Notes §8'–'10' (+ Rogawski §1.4%and rest of Rogawski §1.5) Course Notes §11'–'12' (+%Rogawski%Ch.2) Course Notes §13'–'15' (+%Rogawski%§3.1-3.9) n/a

7

- Midterm Week -

8

Course'Notes'§16'–'19' (+%Rogawski%§3.10,%4.1) Course Notes §20'–'22' (+%Rogawksi%§4.4%–%4.7,%§5.1%–%5.6) Course Notes §23'–'25' (+%Rogawski%§5.7,%§7.1) Course Notes §26'–'28' (+%Rogawski%§6.1%–%6.2,%§7.3,%7.5 Course Notes §30' (+%Rogawski%§6.3%–%6.4) Course Notes §31'–'33' (+%Rogawski%§7.7,%§11.3%–%11.4)

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9 10 11 12 13

ILLNESS DURING EXAMS: If at any time during the term you find that you are unable to complete your work, due to illness or other difficult circumstances, contact the First-Year Engineering Office. If you miss the midterm exam for documented reasons, the weight will be transferred to the final exam. Be aware that we do NOT automatically grant requests for deferrals of final exams. These requests will be granted only to students who are severely ill or otherwise physically incapable of attending the examination, and whose performance in the course suggests a reasonable chance of success.

ACADEMIC INTEGRITY : In order to maintain a culture of academic integrity, member of the University of Waterloo community are expected to promote honesty, trust, fairness, respect and responsibility. Refer to Academic Integrity website (https://uwaterloo.ca/academic-integrity/) for details.

ACADEMIC DISCIPLINE: A student is expected to know what constitutes academic integrity to avoid committing an academic offence, and to take responsibility for his/her actions. A student who is unsure whether an action constitutes an offence, or who needs help in learning how to avoid offences (e.g. plagiarism, cheating) or about “rules” for group work/collaboration should seek guidance from the course instructor, academic advisor, or the undergraduate Associate Dean. For information on categories of offences and types of penalties, students should refer to Policy 71 (Student Discipline - https://uwaterloo.ca/secretariat/policies-procedures-guidelines/policy-71). Typical penalties are described here: https://uwaterloo.ca/secretariat/guidelines/guidelines-assessment-penalties. For this course specifically, the expectation is that you will treat the quizzes as exams: there should be absolutely no communication. For the online assignments, you are encouraged to discuss the concepts with each other, but you should ultimately sit down on your own and complete the problems individually (admittedly, this is difficult to police, which is why the assignments have little weight – and we may also ignore them when assessing likelihood to pass the final exam (see Illness During Exams above).

APPEALS: A decision made under Policy 70 (Student Petitions and Grievances - https://uwaterloo.ca/secretariat/policiesprocedures-guidelines/policy-70) (other than a petition) or a penalty imposed under Policy 71 (Student Discipline) may be appealed if there is a ground. A student who believes he/she has a ground for an appeal should refer to Policy 72 (Student Appeals - https://uwaterloo.ca/secretariat/policies-proceduresguidelines/policy-70).

GRIEVANCES: A student who believes that a decision affecting some aspect of his/her university life has been unfair or unreasonable may initiate a grievance. Read Policy 70, Student Petitions and Grievances, Section 4. If in doubt, contact Karen Dyck in the First Year Engineering office.

NOTE FOR STUDENTS WITH DISABILITIES: AccessAbility Services, located in Needles Hall (the new extension, Room 1401), collaborates with all academic departments to arrange appropriate accommodations for students with disabilities without compromising the academic integrity of the curriculum. If you require academic accommodations to lessen the impact of your disability, please register with AccessAbility Services at the beginning of each academic term....