Basic Information
Course: Math 1232 Single-Variable Calculus II
Section: 11;
Semester: Fall 2018;
Time: 08/28/2017-12/11/2017, Mon&Wed 03:45pm-05:00pm;
Location: Phillips B152
Instructor: Yanxiang Zhao, Phillips Hall 709
Phone: 202-994-0606
Email: yxzhao at email dot gwu dot edu
Office Hour: Mon&Wed 05:00pm--06:30pm or by appointment
Recitation Informations
TA: Iva Iris Bilanovic
TA's email: ivabilanovic at email dot gwu dot edu
TA's Office: 724A Phillips Hall,
Recitations location and dates:
Sec33, Duques 259, Thursday 8:00-8:50am;
Sec34, Tomp 303, Thursday 9:35-10:25am;
Sec35, Tomp 307, Thursday, 12:45-1:35pm.
Other Resources for Help
- Academic Commons TA: Kasra Eskandarian, 7-8pm Thursday, Gelman 201.
- Calc Lab hours: 5:30-7:30 MTW at Rome 771, and R at Phillips 730 or 704.
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.
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 3225 2264
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 | Aug27: 6.1: inv func | Aug28 | Aug29: 6.2: exp func | Aug30 (Q1) | Aug31 |
| Week 2 | Sep03: Labor Day | Sep04 | Sep04: 6.3: log func | Sep05 (Q2) | Sep06 |
| Week 3 | Sep10: 6.4: deri of log | Sep11 | Sep12: 6.6: inv trig | Sep13 (Q3) | Sep14 |
| Week 4 | Sep17: 6.8: L'Hopital | Sep18 | Sep19: 7.1: Int by part | Sep20 (Q4) | Sep21 |
| Week 5 | Sep24: 7.2: trig int | Sep25 | Sep26: 7.3: trig sub | Sep27 (Q5) | Sep28 |
| Week 6 | Oct01: 7.4: partial frac | Oct02 | Oct03: in-class midterm | Oct04 | Oct05 |
| Week 7 | Oct08: Fall Break | Oct09 | Oct10: 7.5: strtg for int | Oct11 (Q6) | Oct12 |
| Week 8 | Oct15: 7.8: improper int | Oct16 | Oct17: 11.1: sequences | Oct18 (Q7) | Oct19 |
| Week 9 | Oct22: 11.2: series | Oct23 | Oct24: 11.3: int test | Oct25 (Q8) | Oct26 |
| Week 10 | Oct29: 11.4: comp test | Oct30 | Oct31: 11.5: alt series | Nov01 (Q9) | Nov02 |
| Week 11 | Nov05: 11.6: abs conv | Nov06 | Nov07: 11.7: series' strtg | Nov08 (Q10) | Nov09 |
| Week 12 | Nov12: 11.8: power series | Nov13 | Nov14: in-class midterm | Nov15 | Nov16 |
| Week 13 | Nov19: 11.9: func in power | Nov20 | Nov21: Thanksgiving | Nov22 | Nov23 |
| Week 14 | Nov26:11.10: Taylor series | Nov27 | Nov28: 8.1: arc length | Nov29 (Q11) | Nov30 |
| Week 15 | Dec03: 8.2: area of revo | Dec04 | Dec05: 10.1: para | Dec06 (Q12) | Dec07 |
| Week 16 | Dec10: 10.2&10.3 | Dec11 | Dec12: Final (12/12, 5:20-7:20) | Dec13 | Dec14 |
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 15-minute quizzes, each out of 2.5 points, in recitation classes on Thursday. 8 highest quizzes counts for the final grade. No makeup quizzes for any excuses except for Student-athletes accommodation and Religious holidays. Drop the missed quizzes due to illness.
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.
- The final exam is cumulative and is scheduled on Wed, Dec 12, 2018, 5:20-7:20pm. It is your responsibility to ensure that you do not have a schedule conflict involving the final exam. Final exam will not be given early to accommodate travel plans.
- Assistance of any type (notes in any form, books, etc.) is strictly banned during exams. Using the work of others on exams is strictly prohibited.
- Sample midterm I (A, B) and solution (A, B); Formula Sheet (PDF);
- Sample midterm II (A, B) and solution (A, B); Formula sheet (PDF);
- Sample final exam (A, B) and solution (A, B); Formula sheet (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 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 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.
