Course: Math 126G, Calculus II, Fall 2019, Section 39519
Prerequisite: Math 125.
Course Content: A continuation of MATH 125: trigonometric functions; applications of integration; techniques of integration; indeterminate forms; infinite series; Taylor series; polar coordinates.
Syllabus: here. Last update: 25 June 2019
Instructor: Steven Heilman, stevenmheilman(@-symbol)gmail.com
Office Hours: Mondays, 9AM-10AM, 11AM-12PM, KAP 406G
Lecture Meeting Time/Location: Mondays, Wednesdays, and Fridays, 1PM-150PM, SOS B4
TA: Wenqian Wu, wenqian(@-symbol)usc.edu
Discussion Section Meeting Time/Location:
TA Office Hours: Occur in the Math Center.
Supplemental Instruction (SI): Anthony Pachecho (information posted here.)
You are not required to buy a textbook. Free lecture notes are provided below.
Recommended Textbook: Stewart, Essential Calculus, any edition.
First Midterm: Friday, September 27, 1PM-150PM, SOS B4
Second Midterm: Monday, November 4, 1PM-150PM, SOS B4
Final Exam: Wednesday, December 11, 2PM-4PM, Location TBD. (This final is for all 126 students)
Other Resources: The Math Center is located in 263 KAP and is open Monday-Friday from 8am to 7pm on most days. It is primarily run by math graduate students here at USC.
Applets by GeoGebra.
Exam Procedures: Students must bring their USCID cards to the midterms and to the final exam. Phones must be turned off. Cheating on an exam results in a score of zero on that exam. Exams can be regraded at most 15 days after the date of the exam. This policy extends to homeworks as well. All students are expected to be familiar with the USC Student Conduct Code. (See also here.)
Disability Services: If you are registered with disability services, I would be happy to discuss this at the beginning of the course. Any student requesting accommodations based on a disability is required to register with Disability Services and Programs (DSP) each semester. A letter of verification for approved accommodations can be obtained from DSP. Please be sure the letter is delivered to me as early in the semester as possible. DSP is located in 301 STU and is open 8:30am-5:00pm, Monday through Friday.
213-740-6948 (TDD only)
Discrimination, sexual assault, and harassment are not tolerated by the university. You are encouraged to report any incidents to the Office of Equity and Diversity http://equity.usc.edu/ or to the Department of Public Safety http://capsnet.usc.edu/department/department-public-safety/online-forms/contact-us. This is important for the safety whole USC community. Another member of the university community - such as a friend, classmate, advisor, or faculty member - can help initiate the report, or can initiate the report on behalf of another person. The Center for Women and Men http://www.usc.edu/student-affairs/cwm/ provides 24/7 confidential support, and the sexual assault resource center webpage firstname.lastname@example.org describes reporting options and other resources.
Exam Resources: Here is a page containing old calculus exams. Here is a page containing old 126 exams. Here is a page containing old final exams for Math 126 at USC.
Tentative Schedule: (This schedule may change slightly during the course.)
|1||Aug 26: 5.1, Inverses||Aug 27||Aug 28: 5.6, Inverse trigonometric functions||Aug 29: Homework 1 due||Aug 30: Read the syllabus due. 5.6, Inverse trigonometric functions|
|2||Sep 2: No class||Sep 3||Sep 4: 5.7, Hyperbolic functions||Sep 5: Homework 2 due||Sep 6: 5.8, L'Hôpital's Rule|
|3||Sep 9: 6.1, Integration by Parts||Sep 10||Sep 11: 6.2, Trigonometric substitution||Sep 12: Homework 3 due||Sep 13: 6.3, Partial Fractions|
|4||Sep 16: 6.5, Approximate Integration||Sep 17||Sep 18: 6.5, Approximate Integration||Sep 19: Homework 4 due||Sep 20: 6.6, Improper integrals|
|5||Sep 23: 7.1: Areas between curves||Sep 24||Sep 25: 7.2: Volumes||Sep 26: No homework due||Sep 27: Exam 1|
|6||Sep 30: 7.2: Volumes||Oct 1||Oct 2: 7.3: Volumes by Cylindrical Shells||Oct 3: Homework 5 due||Oct 4: 7.4: Arc Length|
|7||Oct 7: 7.5: Areas by Revolution||Oct 8||Oct 9: 7.6: Applications||Oct 10: Homework 6 due||Oct 7: 8.1: Sequences|
|8||Oct 14: 8.2: Series||Oct 15||Oct 16: 8.2, Series||Oct 17: No class||Oct 18: No class|
|9||Oct 21: 8.3, Integral and comparison tests||Oct 22||Oct 23: 8.4, Convergence tests||Oct 24: Homework 7 due||Oct 25: 8.4, Convergence tests|
|10||Oct 28: 8.5, Power series||Oct 29||Oct 30: 8.5, Power series||Oct 31: Homework 8 due||Nov 1: 8.6, Power series|
|11||Nov 4: Exam 2||Nov 5||Nov 6: 8.7, Taylor and Maclaurin series||Nov 7: No homework due||Nov 8: 8.8, Applications|
|12||Nov 11: 9.1, 9.1, Parametric curves||Nov 12||Nov 13: Parametric curves||Nov 14: Homework 9 due||Nov 15: 9.2, Calculus on curves|
|13||Nov 18: 9.3, Polar coordinates||Nov 19||Nov 20: 9.3, Polar coordinates||Nov 21: Homework 10 due||Nov 22: 9.4, Areas and lengths in polar coordinates|
|14||Nov 25: 9.5, Conic sections in polar coordinates||Nov 26||Nov 27: No class||Nov 28: No class||Nov 29: No class|
|15||Dec 2: Leeway||Dec 3||Dec 4: Review of course||Dec 5: Homework 11 due||Dec 6: Review of course|
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