Basic Information
Course: Math 1232 Single-Variable Calculus II
Semester: Fall 2017;
Time: 08/28/2017-12/11/2017, Mon&Wed 03:45pm-05:00pm;
Location: MPA310
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
TA: Anudeep Kumar
TA's email: anudeep at email dot gwu dot edu
TA's Office: 728B Phillips Hall,
TA's Office Hour: Thursday 11-12pm; Friday 4:30-5:30pm
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
- Calulus 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 8440 4568
Learning Outcomes
As a result of completing this course, the students will be able to:
- solve problems involving calculus of exponential and logrithmic functions;
- Apply L'Hopital's rule to find certain type of limit problems;
- Use techniques of integration to solve complex integrals;
- analyze the convergence or divergence of a given infinite 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
Monday Wednesday
Week01. Aug28-Sep01 6.1: inverse functions 6.2: exp functions
Week02. Sep04-Sep08 (Quiz01) Labor Day 6.3: log functions
Week03. Sep11-Sep15 (Quiz02) 6.4: derivatives of log 6.6: inverse trig
Week04. Sep18-Sep22 (Quiz03) 6.8: L'Hopital's rule 7.1: Integ by part
Week05. Sep25-Sep29 (Quiz04) 7.2: trig integrals 7.3: trig sub
Week06. Oct02-Oct06 (Quiz05) 7.4: partial frac 7.5: strategy for integ
Week07. Oct09-Oct13 Fall Break. in-class midterm: a, b
Week08. Oct16-Oct20 (Quiz06) 7.8: improper integ 11.1: sequences
Week09. Oct23-Oct27 (Quiz07) 11.2: series 11.3: integral test
Week10. Oct30-Nov03 (Quiz08) 11.4: comp test 11.5: alternating series
Week11. Nov06-Nov10 (Quiz09) 11.6: abs conv 11.7: series' strategy
Week12. Nov13-Nov17 (Quiz10) 11.8: power series 11.9: func in power
Week13. Nov20-Nov24 (Quiz11) 11.10: Taylor series Thanksgiving
Week14. Nov27-Dec01 (Quiz12) 8.1: arc length 8.2: area of revo
Week15. Dec04-Dec08 (Quiz13) 10.1: para 10.2: calc under para
Week16. Dec11-Dec15 10.3: polar coord Final 5:20-7:20 (MPA310)
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 13 15-minute quizzes, each out of 2 points, in recitation classes on Thursday. 10 highest quizzes counts for the final grade. NO MAKEUP QUIZZES for any excuses.
- Quiz solutions: 1. 2. 3(a,b,c). 4(a,b,c). 5(a,b,c). 6(a,b,c). 7(a,b,c). 8(a,b,c). 9(a,b,c). 10(a,b,c). 11. 12(a,b,c). 13. 14.
Exams
There will be one in-class midterm exam on March 02, and a final exam in the 16-17th weeks (May 08-16).
- No makeup midterm exam for any excuse.
- The final exam is cumulative and is scheduled by the Registrar's Office. The Spring 2017 final exam period is May 08-16. It is your responsibility to ensure that you do not have a schedule conflict involving the final exam.
- 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 exam (PDF); Sample midterm exam solution (PDF); Formula Sheet (PDF); Midterm exam (PDF);
- Sample final exam (PDF); Sample final exam formula sheet (PDF); Sample final exam solution (PDF);
- Challenging sample final exam (PDF); Challenging sample final exam solution (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-
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:
homework 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 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).
