Basic Information
Course: Math 1232 Single-Variable Calculus II
Semester: Fall 2016;
Time: 08/29/2016-12/13/2016, Mon&Wed 3:45pm-5:00pm;
Location: 1957 E, B17
Instructor: Yanxiang Zhao, Phillips Hall 709
Phone: 202-994-0606
Email: yxzhao at email dot gwu dot edu
Office Hour: Mon&Wed 02:20pm--3:20pm or by appointment
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:
gwu 1942 5809
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
Week Mon Tue Wed Thu Fri 01 Aug 29 Sec6.1:Inverse functions Aug 30 Aug 31 Sec6.2 Exponential functions
hw01Sep 01 quiz01 Sep 02 02 Sep 05 Labor day (no class) Sep 06 Sep 07 Sec6.3 log functions
hw02Sep 08 quiz02 Sep 09 03 Sep 12 Sec6.4 Derivatives of log functions Sep 13 Sep 14 Sec6.6 Inverse trig functions
hw03Sep 15 quiz03 Sep 16 04 Sep 19 Sec6.8 L'Hospital's rule Sep 20 Sep 21 Sec7.1 Integ by part
hw04Sep 22 quiz04 Sep 23 05 Sep 26 Sec7.2 Trig integrals Sep 27 Sep 28 Sec7.3 Trig substitution hw05 Sep 29 quiz05 Sep 30 06 Oct 03 Sec7.4 Partial fraction Oct 04 Oct 05 Sec7.5 Strategy for integration hw06 Oct 06 quiz06 Oct 07 07 Oct 10 Sec7.8 Improper integrals Oct 11 Oct 12 in-class midterm Oct 13 Oct 14 08 Oct 17 Sec11.1 Sequences Oct 18 Oct 19 Sec11.2 Series hw07 Oct 20 quiz07 Oct 21 deadline to switch grade mode 09 Oct 24 fall break Oct 25 fall break Oct 26 Sec11.3 Integral test hw08 Oct 27 quiz08 Oct 28 10 Oct 31 Sec11.4 Comparison tests Nov 01 Nov 02 Sec11.5 Alternating series hw09 Nov 03 quiz09 Nov 04 11 Nov 07 Sec11.6 Abslute convergence Nov 08 Nov 09 Sec11.7 Strategy for testing series hw10 Nov 10 quiz10 Nov 11 12 Nov 14 Sec11.8 Power series Nov 15 Nov 16 Sec11.9 Functions in power series hw11 Nov 17 quiz11 Nov 18 13 Nov 21 Talor series Nov 22 Nov 23 Thanksgiving Nov 24 Thanksgiving Nov 25 Thanksgiving 14 Nov 28 Sec8.1 Arc length Nov 29 Nov 30 Sec8.2 Area of surface of revolution hw12
Dec 01 quiz12
Dec 02 15 Dec 05 Sec10.1 Parametrized curve Dec 06 Dec 07 Se10.2 Calculus with parametric curves hw13 Dec 08 quiz13 Dec 09 16 Dec 12 Sec10.3 Polar coordinates
Dec 13 reading day
Dec 14 1957E B17, 5:20-7:20pm Dec 15 Dec 16 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.
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. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
Exams
There will be one in-class midterm exam on Oct 12, and a final exam in the 16th week (Dec 14-21).
- No makeup midterm exam for any excuse.
- The final exam is cumulative and is scheduled by the Registrar's Office. The fall 2016 final exam period is Dec 14-21. 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);
- Sample final exam (PDF); Sample final exam formula sheet (PDF); 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 following weighted average:
homework
quiz Midterm Final Scheme 10% 20% 30% 40% If you missed the midterm exam, the final exam will weight 70% in the cumulative average.
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 Monroe 240).