Course: Math 1232 Single-Variable Calculus II
Section: 10;
Semester: Spring 2021;
Time: 01/11/2021-04/29/2021, Tue&Thu 02:20pm-03:35pm;
Location: Remote Instruction (visit Blackboard, click on Syllabus to find course link and Zoom link)
Instructor: Yanxiang Zhao, Phillips Hall 709
Phone: 202-994-0606
Email: yxzhao at email dot gwu dot edu
Office Hour: Tue&Thu 06:00pm--07:00pm or by appointment
Recitation Informations
TA: Wangbo Luo
TA's email: luowangbo at gwmail dot gwu dot edu
TA's Office: online office hour
Recitations location and dates:
Sec30, Mon 8:00-8:50am;
Sec31, Mon 9:35-10:25am;
Sec32, Mon, 11:10-12:00pm.
Other Resources for Help
- Announce later.
Course Description
This course introduces the calculus of exponential and logarithmic functions. L'Hopital's rule, techniques of integration, infinite series and Taylor series and polar coordinates.
Course Recording (University policies)
Use of Electronic Course Materials and Class Recordings:
Students are encouraged to use electronic course materials, including recorded class sessions, for private personal use in connection with their academic program of study. Electronic course materials and recorded class sessions should not be shared or used for non-course related purposes unless express permission has been granted by the instructor. Students who impermissibly share any electronic course materials are subject to discipline under the Student Code of Conduct. Please contact the instructor if you have questions regarding what constitutes permissible or impermissible use of electronic course materials and/or recorded class sessions. Please contact Disability Support Services if you have questions or need assistance in accessing electronic course materials.
The course recordings can be found on Blackboard under the tab of Electronic Reserves.
Multiple photos into a single PDF on a phone
This is for uploading your written homework assignments and exams to the blackboard system. You can find several ways to do so:
- https://support.google.com/drive/answer/3145835?co=GENIE.Platform%3DAndroid&oco=1
- https://support.apple.com/en-us/HT210336
- https://confluence.bethel.edu/display/ADO/Adobe+Scan
Prerequisites
- Math 1221 or Math 1231.
Textbook
- Calculus by Stewart (with WebAssign & Smart Guide), 8th edition.
WebAssign
Students must use the class key listed below to enroll in the class: (a quick start guide [link])
class key: gwu 6115 2239
Learning Outcomes
As a result of completing this course, the students will be able to:
- Define logarithm, exponential, and inverse trigonometric functions, explain their basic properties (continuity, derivatives, asymptotes, etc.) and recognize their graphs;
- Apply these functions to word problems, and correctly interpret the results;
- Solve integrals using integration by parts, trigonometric substitution and partial fractions;
- Analyze, create and recognize polar and parametric graphs;
- Categorize the convergence of an infinite series;
- Express algebraic and transcendental functions using Maclaurin and Taylor series.
Average minimum amount of independent, out-of-class, learning expected per week
More than 2/3 of the time you devote to this class should take place outside the classroom (lecture and recitation). Even the best students in the class should plan on spending an average of at least 6 hours a week on homework and other studying. Students who struggle with the material may need to spend more time in order to earn a grade they will find acceptable.
Calendar
Mon | Tue | Wed | Thu | Fri | |
Week 1 | Jan11 | Jan12: s6.1(a,b) | Jan13 | Jan14: s6.2(a,b) s6.3(a,b) | Jan15 |
Week 2 | Jan18 | Jan19: s6.4(a,b) | Jan20 | Jan21: s6.6(a,b) | Jan22 |
Week 3 | Jan25 | Jan26: s6.8(a,b) | Jan27 | Jan28: s7.1(a,b) | Jan29 |
Week 4 | Feb01 | Feb02: s7.2(a,b) | Feb03 | Feb04: s7.3(a,b) | Feb05 |
Week 5 | Feb08 | Feb09: s7.4(a,b) | Feb10 | Feb11: s7.5(a,b) | Feb12 |
Week 6 | Feb15 | Feb16: s7.8(a,b) | Feb17 | Feb18 | Feb19 |
Week 7 | Feb22 | Feb23: review(a) | Feb24 | Feb25: in-class midterm | Feb26 |
Week 8 | Mar01 | Mar02: s11.1(a,b) | Mar03 | Mar04: s11.2(a,b) | Mar05 |
Week 9 | Mar08 | Mar09: s11.3(a,b) | Mar10 | Mar11: s11.4(a,b) | Mar12 |
Week 10 | Mar15 | Mar16: Spring break s11.5(a,b) | Mar17 | Mar18: Spring break s11.6(a,b) | Mar19 |
Week 11 | Mar22 | Mar23: s11.7(a,b) | Mar24 | Mar25: s11.8(a,b) | Mar26 |
Week 12 | Mar29 | Mar30: s11.9(a,b) | Mar31 | Apr01: s11.10(a,b) | Apr02 |
Week 13 | Apr05 | Apr06: s10.1(a,b) | Apr07 | Apr08 | Apr09 |
Week 14 | Apr12 | Apr13: s10.2(a,b) | Apr14 | Apr15: s8.1(a,b), s8.2(a,b) | Apr16 |
Week 15 | Apr19 | Apr20: s10.3(a,b) | Apr21 | Apr22: Final Review(a) | Apr23 |
Week 16 | Apr26 | Apr27 | Apr28 | Apr29 | Apr30 |
NOTE: In accordance with university policy, the final exam will be given during the final exam period and not the last week of the semester.
Homework
Homeworks are assigned through WebAssign.
- Solutions to sample questions in HW05 [pdf];
- Solutions to sample questions in HW07 [pdf];
- Matlab examples for Section 10.1 [Ex01],[Ex02],[Ex03];
- Matlab examples for Section 10.3 [Ex01],[Ex02],[Ex03],[Ex04],[Ex05];
Quizzes
There are 12 20-minute quizzes, each out of 2.5 points, in recitation classes on Monday. 8 highest quizzes count for the final grade. No makeup quizzes for any excuses except for Student-athletes accommodation and Religious holidays. Please drop the missed quizzes due to illness.
- Quiz solutions: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
Exams
- If you have a legitimate conflict with the test dates and times (such as Student-athletes accommodation and Religious holidays), please contact the instructor as soon as possible, do not wait until shortly (within 24 hours) before the test.
- If you miss a test because of an illness, you must inform the instructor before the test, and get a note from your doctor in order to be allowed to make the test up at a later date. Unexplained missed tests will not be excused or allowed to be made up.
- Assistance of any type (notes in any form, books, calculator, smartphone apps, etc.) is strictly banned during exams. Using the work of others on exams is strictly prohibited.
- In-class midterm exam is scheduled at Feb 25, covering until Section 7.5:
- The exam will be taken through Blackboard system.
- Students are asked to turn on the camera, showing both hands in the camera while taking the midterm.
- Students can choose to mute the instructor while taking the midterm. On the other hand, the instructor might make announcements during the midterm. Muting the instructor might cause you miss some informations.
- 20 multiple choice/answer questions in the midterm. For each multiple answer question, choosing wrong answers will result in negative points with lowest possible overall score being zero. For each multiple choice question, choosing wrong answer will result in zero point.
- You need to provide written work to support the answers. Correct answers without supported work receive zero credits.
- The written work has to be in a single-PDF file (see the previous Section to learn how to convert multiple photos into single PDF file).
- The written work for each question must be sorted by increasing order like Q1, Q2, ... Q20.
- The written work with wrong order will not be accepted, resulting to zero score for the midterm.
- The written work with multiple files will not be accepted, resulting to zero score for the midterm.
- After the 75-min midterm exam, you will have 30 minutes to take photos, convert to single PDF file, and upload to Blackboard system. After you finish submitting the written work, wait until my confirmation of receiving your written work, then you can leave the exam.
- Students who are in the Asian timezone will take midterm at 9:20pm-10:35pm (EST) of the same day as the regular midterm.
- Students who require DSS accommodation will receive time and a half (or double time) to take the exam.
- Final exam will be scheduled in the final week. The exact date will be announced later. Final exam is comprehensive.
- The exam will be taken through Blackboard system.
- Students are asked to turn on the camera, showing both hands in the camera while taking the midterm.
- Students can choose to mute the instructor while taking the final exam. On the other hand, the instructor might make announcements during the final exam. Muting the instructor might cause you miss some informations.
- 30 multiple choice/answer questions in the exam. 5 questions from 1st half of the course, and 25 questions from 2nd half of the course. For each multiple answer question, choosing wrong answers will result in negative points with lowest possible overall score being zero. For each multiple choice question, choosing wrong answer will result in zero point.
- You need to provide written work to support the answers. Correct answers without supported work receive zero credits.
- The written work has to be in a single-PDF file (see the previous Section to learn how to convert multiple photos into single PDF file).
- The written work for each question must be sorted by increasing order like Q1, Q2, ... Q20.
- The written work with wrong order will not be accepted, resulting to zero score for the midterm.
- The written work with multiple files will not be accepted, resulting to zero score for the midterm.
- After the 120-min final exam, you will have 30 minutes to take photos, convert to single PDF file, and upload to Blackboard system. After you finish submitting the written work, wait until my confirmation of receiving your written work, then you can leave the exam.
- Students who are in the Asian timezone will take the final exam several hours later of the same day as the regular final exam. The exact time will be announced later.
- Students who require DSS accommodation will receive time and a half (or double time) to take the exam.
- Final Exam Formula Sheet (PDF).
- Sample Final Exam Questions (PDF).
Grading
Your course grade will be determined by your cumulative average at the end of the term and will be based on the following scale:
A | A- | B+ | B | B- | C+ | C | C- | D+ | D | D- | |
Scale | 95% | 90% | 87% | 83% | 80% | 77% | 73% | 70% | 67% | 63% | 60% |
Your cumulative average will be the following weighted average:
HW | Quiz | Midterm | Final | |
Scheme | 10% | 30% | 25% | 35% |
Class Policies
University policy on Religious Holidays:
- Students should notify faculty during the first week of the semester of their intention to be absent from class on their day(s) of religious observance;
- Faculty should extend to these students the courtesy of absence without penalty on such occasions, including permision to make up examinations;
- Faculty who intend to observe a religious holiday should arrange at the beginning of the semester to reschedule missed classes or to make other provisions for their course-related activities.
Academic Integrity
Academic dishonesty is defined as cheating of any kind, including misrepresenting one's own work, taking credit for the work of other without crediting them and without appropriate authorization, and the fabrication of information. For the remainder of the code, see: http://www.gwu.edu/~ntegrity/code.html.
Support for Students Outside the Classroom
- Disability Support Services (DSS): Any student who may need an accommodation based on the potential impact of a disability should contact the DSS office at 202-994-8250 in the Rome Hall, Suite 102, to establish eligibility and to coordinate reasonable accommodations. For additional information please refer to: http://gwired.gwu.edu/dss/.
- University Counseling Center (UCC): The UCC (202-994-5300) offers 24/7 assistance and referral to address students' personal, social, career, and study skills problems. Services for students include: crisis and emergency mental health consultations; confidential assessment, counseling services (individual and small group), and referrals. For additional information please refer to: http://counselingcenter.gwu.edu/.
Security
In the case of an emergence, if at all possible, the class should shelter in place. If the buliding that the class is in is affected, follow the evacuation procedures for the building. After evacuation, see shelter at a predetermined rendezvous location.
Student Responsibilities and Classroom Courtesy:
- You are responsible for knowing about all announcements made in class related to homeworks, exams etc., and for all material covered in class.
- Be aware of the University's Code of Academic Integrity, see http://www.gwu.edu/~ntegrity for details. If cases of academic dishonesty arise, whether on homeworks, quizzes or exams, they will be pursued to their conclusion.
- Each student must conduct him or herself in a manner that promotes a positive atmosphere, conveys mutual respect, and creates no distractions, thereby allowing all students to focus on our goal: learning NUMERICAL ANALYSIS. In particular:
- cell phones, texting devices, laptops, and all other potentially distracting must be turned off during class;
- cell phones, texting devices, laptops, and all other potentially distracting must be turned off during class;
- everyone should make a serious effort to arrive promptly for the start of class;
- except for serious reasons, once in class everyone should remain in class until the class is over;
- apart from the lecture, students asking the instructor questions, and students responding to the instructor's questions, the class should be silent.
Questions
Everyone is strongly encouraged to ask questions during class, and during office hours! Should you need further assistance, you may consider hiring a tutor (the department keeps a list of tutors; copies are available outside Phillips Hall 739).
Library
Calculus (library call number: QA303.2 .S73 2016) is available on reserve as part of the Top Textbooks program at GW Libraries. Top Textbooks can be checked out for three hours at a time, can be taken outside the library, and have no cost to use.