Math 52, Spring 2021
Survey of Calculus II
Professor Don Davis, Section 10, dmd1, 610-758-3756, CU 249
Instructor Ruxiao Qian, Section 11, ruq316, 484-860-0739
- Lectures: Lecture notes and Panopto video (Prof Davis) will be available on the common CourseSite prior to the announced time. Same for both sections. View them whenever you want.
- Mr. Qian will conduct "example sessions" open to both sections on Zoom Tuesdays 4:25-5:40..
- During scheduled class time, MWF 12:10-1:00 for Section 10, 1:35-2:25 for Section 11: On "lecture" days, Zoom will be open for questions and occasional work sessions (attendance optional). On "review/quiz" days, review on Zoom for the first 25 minutes, followed by a quiz on Gradescope.
- Other options: In-person (Davis) or Zoom office hours by appointment. Email your instructor with your questions.
The text is "Calculus and its Applications," fourteenth edition, by
Goldstein, Lay, Schneider, and Asmar.
Your grade will be determined from the
following. If your final total is at least 90% (resp. 80, 70, 60),
you are guaranteed of getting at least an A- (resp. B-, C-, D-).
- 100--Quizzes and homework
- 100--First hour exam
- 100--Second hour exam
- 200--Final exam
If a student does poorly on one midterm exam, that exam may have its component
toward your grade divided by 2, if that helps your final average. For example, if your scores are (HW&Q,MT1,MT2,Final)=(90,30,90,180), your average would be 78%, but dividing MT1 by 2 yields (90+15+90+180)/450 = 83.3%, which would be your grade.
Two types of problems are assigned. The "Suggested problems" are not to be handed in. You can usually find the
answers to them in the back of the book to check your work. You are strongly
encouraged to work these problems. Many exam and quiz problems will
be very similar to some of the suggested problems.
The "Hand-in problems" are to be handed in by noon on Gradescope on the indicated date. They are not from the book; they will be posted on CourseSite.
They will be graded on
a 20-point basis.
The solutions to the Hand-in Problems will be posted
on Course Site at 4 PM the day they are due.
Late homework will not be accepted.
On the Hand-in Problems, you may not copy someone else's work. Instructors are willing to help
you on the hand-in problems, either by email or office hours.
Students found to be copying on hand-in homework may be taken before the
Disciplinary Committee.
10-minute quizzes will take place
at the end of class on the dates indicated on the schedule below.
Quizzes will be
composed of problems similar to Suggested Problems based
on the indicated sections. If you miss a quiz for a reason which the
professor considers excusable, you will receive a score of 16 out of 20.
Quizzes will be graded on a 20-point basis. Half-credit (10 points)
is given just for handing in the paper; this is to reward attendance.
The quizzes and homeworks will comprise one category. The three lowest
scores in this category will be dropped, and the rest averaged.
The hour exams will be held on Gradescope on March 2 and April 6.
In order to be considered
for a makeup of an hour exam, you must notify your instructor in advance
with ample documentation. If your excuse is deemed acceptable,
you will be given a makeup exam at a convenient time.
The final exam will cover material
from the entire semester, with a heavy emphasis on material subsequent to the
second hour exam.
Accommodations for Students with Disabilities: If you have a
disability
for which you are or may be requesting accommodations, please contact
both your instructor and the Office of Academic Support Services,
University Center 212 (610-758-4152) as early as possible in the
semester. You must have documentation from the Academic Support
Services office before accommodations can be granted.
Lehigh University endorses The Principles of our Equitable Community. We expect each member of this class to acknowledge and practice these Principles. Respect for each other and for differing viewpoints is a vital component of the learning environment inside and outside the classroom.
Statement regarding learning outcomes.
- Obtain some familiarity with the following topics. The treatment is less in-depth than engineering calculus. Applications in the biological sciences will be emphasized. Improving of the student's skills in basic mathematics is a collateral benefit.
- Multivariable calculus.
- Techniques of integration.
- Setting up and solving differential equations, with applications.
- Taylor series.
- Calculus in probability.
Schedule of lectures, Suggested Problems, and Hand-in Problems.
- Mon Feb 1: 7.1
- Suggested problems: 7.1: 5, 7, 15, 19, 25.
- Hand in Fri Feb 5.
- Wed Feb 3: 7.2
- Suggested Problems: 7.2: 7, 11, 17, 23, 29.
- Hand in Fri Feb 5.
- Fri Feb 5: 7.3.
- Suggested problems: 7.3: 11, 29, 37, 49.
- Hand in Fri Feb 12.
- Mon Feb 8: Review 7.1-7.3. Quiz on 7.1, 7.2.
- Wed Feb 10: 7.4.
Suggested problems: 7.4: 5, 9, 19.
- Hand in Fri Feb 12.
- Fri Feb 12: 7.5.
- Suggested problems: 7.5: 7, 9.
- Hand in Fri Feb 19.
- Mon Feb 15: 7.6.
- Suggested problems: 7.6: 5, 11, 13.
- Hand in Fri Feb 19.
- Wed Feb 17: Review 7.3-7.6. Quiz on 7.3, 7.4.
- Fri Feb 19: 9.1.
- Suggested problems: 9.1: 7, 15, 23, 35, 39, 45.
- Hand in Wed Feb 24.
- Mon Feb 22: 9.2.
- Suggested problems: 9.2: 22, 25, 27
- Hand in Wed Feb 24.
- Wed Feb 24: 9.3.
- Suggested problems: 9.3: 3, 15, 19, 21.
- Hand in Fri Mar 5.
- Fri Feb 26: Review 7.6-9.2. Quiz on 7.6, 9.1, 9.2.
- Mon Mar 1. Review for midterm. No quiz
- Tues Mar 2: 4:25. Midterm covering through Section 9.2.
- Wed Mar 3: 9.4.
- Suggested problems: 9.4: 7 (n=4), 15 (just trapezoid), 23, 28.
- Hand in Fri Mar 5.
- Fri Mar 5: 9.6.
- Suggested problems: 9.6: 13, 33, 35, 43.
- Hand in Fri Mar 12.
- Mon Mar 8: Review 9.3, 9.4, 9.6. Quiz on 9.3 and 9.4.
- Wed Mar 10: 10.1.
- Suggested problems: 10.1: 3, 9, 20.
- Hand in Fri Mar 12.
- Fri Mar 12: 10.2
- Suggested problems: 10.2: 5, 27, 35.
- Hand in Wed Mar 17.
- Mon Mar 15: 10.3.
- Suggested problems: 10.3: 7, 15, 23.
- Hand in Wed Mar 17.
- Wed Mar 17: 10.4.
- Suggested problems: 10.4: 13, 15, 20.
- Hand in Wed Mar 24.
- Fri Mar 19: Review 10.2, 10.3, 10.4. Quiz on 10.2 and 10.3.
- Mon Mar 22: 10.5.
- Suggested problems: 10.5: 11, 15, 23.
- Hand in Wed Mar 24.
- Wed Mar 24: 10.6a.
- Suggested problems: 10.6: 3, 11, 14.
- Hand in Wed Mar 31.
- Fri Mar 26: Review 10.4, 10.5, 10.6a. No quiz.
- Mon Mar 29: 10.6b.
- Suggested problems: 10.6: 17, 23.
- Hand in Wed Mar 31.
- Wed Mar 31: 10.7.
- Suggested problems: 10.7: 9, 11.
- Hand in Fri Apr 9.
- Fri Apr 2: Review 10.6. Quiz on 10.6.
- Mon Apr 5. Review for midterm. No quiz.
- Tues Apr 6. 4:25. Midterm covering Sections 9.3 through 10.6.
- Wed Apr 7: 11.1.
- Suggested problems: 11.1: 5, 9, 15.
- Hand in Fri Apr 9.
- Fri Apr 9: 11.2.
- Suggested problems: 11.2: 3, 7, 11.
- Hand in Wed Apr 14.
- Mon Apr 12: 11.3.
- Suggested problems: 11.3: 9, 15, 27, 37.
- Hand in Wed Apr 14.
- Wed Apr 14: 11.4.
- Suggested problems: 11.4: 7, 13, 15, 19.
- Hand in Wed Apr 21.
- Fri Apr 16: Review 11.2-11.4. Quiz on 11.2-11.3.
- Mon Apr 19: 11.4-11.5.
- Suggested problems: 11.4: 23, 26, 27.
- Hand in Wed Apr 21.
- Wed Apr 21: 11.5.
- Suggested problems: 11.5: 15, 21, 35, 39.
- Hand in Mon Apr 26.
- Fri Apr 23: 12.1.
- Suggested problems: 12.1: 5, 9.
- Hand in Mon Apr 26.
- Mon Apr 26: 12.2.
- Suggested problems: 12.2: 5, 15, 19, 25, 27, 28.
- Hand in Mon May 3.
- Wed Apr 28: Review 11.5, 12.1. Quiz on 11.5, 12.1.
- Fri Apr 30: 12.3.
- Suggested problems: 12.3: 7, 9, 14.
- Hand in Mon May 3.
- Mon May 3: 12.4.
- Suggested problems: 12.4: 5, 11, 23, 32.
- Hand in Fri May 7.
- Wed May 5: 12.5.
- Suggested problems: 12.5: 5, 9, 13.
- Hand in Fri May 7.
- Fri May 7: Review for Final Exam.