Section: 12;
Semester: Fall 2023;
Time: 08/24/2023-12/12/2023, MW 03:45pm-05:00pm;
Location: 1957E B12;
Instructor: Yanxiang Zhao, Phillips Hall 709
Phone: 202-994-0606
Email: yxzhao at email dot gwu dot edu
Office Hour (online): MW 05:00pm--06:00pm 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, Duques 361, Wed 8:00-8:50am;
- Sec37, Monroe 351, Wed 9:35-10:25am;
- Sec38, Monroe 351, 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.
AI and ChatGPT (University policies)
Use of AI and ChatGPT:
The use of AI and ChatGPT is completely forbidden for the homework assignments, quizzes and exams.
Prerequisites
- Math 1221 or Math 1231.
Textbook
WeBWork (Homework System)
Go to Blackboard, click the Tab of 'Assignments' to find the link for WeBWork.
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 | Aug28:L01 | Aug29 | Aug30:L01 | Aug31 | Sep01 |
| Week 2 | Break | Sep05 | Sep06: Q01, L02 | Sep07 | Sep08 |
| Week 3 | Sep11: L03 | Sep12 | Sep13: Q02, L04 | Sep14 | Sep15 |
| Week 4 | Sep18: L05 | Sep19 | Sep20: Q03, L06 | Sep21 | Sep22 |
| Week 5 | Sep25: L07 | Sep26 | Sep27: Q04, L08 | Sep28 | Sep29 |
| Week 6 | Oct02: L09 | Oct03 | Oct04: Q05, L10 | Oct05 | Oct06 |
| Week 07 | Oct09: Review | Oct10 | Oct11: Midterm | Break | Break |
| Week 08 | Oct16: L11 | Oct17 | Oct18: Q06, L12 | Oct19 | Oct20 |
| Week 09 | Oct23: L13 | Otc24 | Oct25: Q07, L13 | Oct26 | Oct27 |
| Week 10 | Oct30: L14 | Oct31 | Nov01: Q08, L15 | Nov02 | Nov03 |
| Week 11 | Nov06: L16 | Nov07 | Nov08: Q09, L17 | Nov09 | Nov10 |
| Week 12 | Nov13: L17 | Nov14 | Nov15: Q10, L18 | Nov16 | Nov17 |
| Week 13 | Break | Break | Break | Break | Break |
| Week 14 | Nov27: L19 | Nov28: L18 | Nov29: Q11 | Nov30 | Dec01 |
| Week 15 | Dec04 | Dec05: L19 | Dec06: Q12 | Dec07: Review | Dec08 |
| Week 16 | Dec11: Last Day | Dec12: Reading Day | Dec13: Final Exam (5:20pm-7:20pm) | Dec14 | Dec15 |
| Week 17 | Dec 18 | Dec19 |
Homework
Homework assignments are assigned through WeBWork system.
- Please go to Blackboard system to access WeBWork for the homework assignments. Log into your Blackboard account, choose our course. On the left navigation menu, click on the 'Assignments', you will see 'WeBWork' link.
- For each homework assignment, you will have two weeks to finish it. After the two weeks, you will have one extra week to finish it, with reduced score (75%).
Quizzes
There are twelve 20-minute quizzes, each out of 10 points, in recitation class on each Wednesday (last 20 minutes). The highest ten quizzes (two dropped) count for the final grade. No makeup quizzes for illness (including COVID-19), If you missed a quiz because of illness, it will be counted as ZERO and be dropped. Please be aware that the policy of allowing the drop of two lowest quizzes is particularly designed for students who have to miss some quizzes because of illness but whose quiz grade will still be unaffected. You may request for a makeup quiz for Religious holidays and Student-athletes accommodation.
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 have to miss a test because of an illness, you must inform the instructor before the test, in order to be allowed to make the test up at a later date. Unexplained missed midterm will not be excused or allowed to be made up. For the unexplained missed midterm, it will be counted as ZERO, and only Scheme I (see below in the Grading Section) can be applied for calculating the total score. Namely, you cannot choose the midterm to be excused as described in Scheme II.
- 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.
- One in-class midterm exam are scheduled at Oct 11
- Students who require DSS accommodation will receive time and a half (or double time) to take the exam.
- Final exam will be announced in the later time. 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 higher one of the following two weighted averages:
| HW | Quiz | Midterm | Final | |
| Scheme I | 10% | 20% | 30% | 40% |
| Scheme II | 10% | 20% | 0% | 70% |
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).
