Section: 12;
Semester: Fall 2021;
Time: 08/30/2021-12/11/2021, TR 04:45pm-06:00pm;
Location: Smith 114;
Instructor: Yanxiang Zhao, Phillips Hall 709
Phone: 202-994-0606
Email: yxzhao at email dot gwu dot edu
Office Hour (online): TR 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:
Recitations location and dates:
- Sec36, TOMP 310, Wed 8:00-8:50am;
- Sec37, TOMP 310, Wed 9:35-10:25am;
- Sec38, TOPM 310, Wed, 11:10-12:00pm.
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 'Zoom meeting'
Prerequisites
- Math 1221 or Math 1231.
Textbook
WebAssign
Students must use the class key listed below to enroll in the class: (a quick start guide [link])
class key: gwu 9561 2356
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.
Course Calendar
| Mon | Tue | Wed | Thu | Fri | |
| Week 1 | Aug30 | Aug31: L01 | Sep01 | Sep02: L01 | Sep03 |
| Week 2 | Break | Sep07: L02 | Sep08: Q01 | Sep09: L02 | Sep10 |
| Week 3 | Sep13 | Sep14: L03 | Sep15 | Sep16: L04 | Sep17 |
| Week 4 | Sep20 | Sep21: L05 | Sep22: Q02 | Sep23: L06 | Sep24 |
| Week 5 | Sep27 | Sep28: L07 | Sep29 | Sep30: L08 | Oct01 |
| Week 6 | Oct04 | Oct05: Review | Oct06: Q03 | Oct07: Midterm I | Oct08 |
| Week 07 | Oct 11 | Oct12: L09 | Oct13 | Oct14: L10 | Oct15 |
| Week 08 | Oct18 | Oct19: L11 | Oct20: Q04 | Oct21: L12 | Break |
| Week 09 | Oct25 | Oct26: L13 | Oct27 | Oct28: L14 | Oct29 |
| Week 10 | Nov01 | Nov02: L15 | Nov03: Q05 | Nov04: L15 | Nov05 |
| Week 11 | Nov08 | Nov09: L16 | Nov10 | Nov11: L17 | Nov12 |
| Week 12 | Nov15 | Nov16: Review | Nov17: Q06 | Nov18: Midterm II | Nov19 |
| Week 13 | Nov22 | Nov23: L18 | Break | Break | Break |
| Week 14 | Nov29 | Nov30: L18 | Dec01: Q07 | Dec02: L19 | Dec03 |
| Week 15 | Dec06 | Dec07: Designated Friday (No class) | Dec08 | Dec09: Review | Dec10 |
| Week 16 | Dec13 | Dec14: Final 5:20-7:20pm | Dec15 | Dec16 | Dec17 |
Homework
Homeworks are assigned through WebAssign.
Quizzes
There are 7 20-minute quizzes, each out of 10 points, in recitation class on each Wednesday (first 20 minutes). No makeup quizzes for any excuses except for Religious holidays and COVID-19 illness. The 5 highest quizzes count for the final grade. If you have any personal emergency and cannot make some quiz, it will counted as ZERO and be dropped.
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.
- Two in-class midterm exam are scheduled at Oct 07 and Nov 18:
- Students who require DSS accommodation will receive time and a half (or double time) to take the exam.
- Final exam is scheduled at Tuesday, Dec 14, 5:20pm-7:20pm (120 minutes). Final exam is comprehensive.
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 I | Midterm II | Final | |
| Scheme | 10% | 20% | 20% | 20% | 30% |
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 homework assignments, 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 homework assignments, 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).
