Math 51, Fall 2022
Survey of Calculus I
Instructors
- Professor Don Davis
- dmd1, 610-758-3756, Chandler-Ullman (CU) 249
- Office hours MW 1-2:30
- Lecture TTh 10:45-12:00, Sections 110-114, Neville 2
- Lecture TTh 12:10-1::25, Sections 210-214, Neville 2
- Teaching Assistant (111-114) Junming Xie
- jux216, CU 202
- Office hours: TTh 1-2. Also M 6-7 PM in Help Center (CU 300)
- Recitations: 111 Mon 3:00 XS 400. 112 Mon 7:15 PM XS 400. 113 Wed 9:20 XS 400. 114 Fri 10:45 XS 401.
-
- Teaching Assistant (211-214) Martin Chen
- jic422, CU 200F
- Office hours: M 12:15-1:15, F 11-12. Also W 12-1 in Help Center (CU 300)
- Recitations: 211 Mon 9:20 XS 400. 212 Wed 3:00 XS 401. 213 Fri 12:10 XS 400. 214 Fri 1:35 XS 401.
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 it helps your grade, the lowest score on a midterm only counts half (so then your total would be out of 450).
Two types of problems are assigned. The "Suggested problems" are not to be handed in. You can 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 almost identical to some of the suggested problems.
The "Hand-in problems" are to be handed in on the indicated date. They will be posted on CourseSite at the beginning of the semester. They will be graded on
a 20-point basis.
The solutions to the Hand-in Problems will be posted
on Course Site at 2 PM the day they are due.
Late homework will not be accepted. If you must
miss class on the day HW is due, have someone else hand it in for you.
You may work together as much as you wish on the Suggested Problems.
However, on the Hand-in Problems, you may not collaborate,
except for preliminary discussion.
Students found to be copying on hand-in homework may be taken before the
Disciplinary Committee.
10-minute quizzes will usually take place
in recitation.
Quizzes will be
composed of problems similar to Suggested Problems based
on a recent previous lecture. If you miss a quiz for a reason which your
TA 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 two lowest
scores in this category will be dropped, and the rest averaged.
The hour exams will be at 4:25 PM on Sept 22 and Oct 27.
In order to be considered
for a makeup of an hour exam, you must notify the professor in advance
with ample documentation. If your excuse is deemed acceptable and more than one person needs a makeup,
you will be given a makeup exam during the following week.
The final exam will cover material
from the entire semester, with a heavy emphasis on material subsequent to the
second hour exam.
Attendance is required.
A Section 3 report will be filed with the Dean of Students for a
student who misses three lectures within a short period of time.
A second Section 3 report can result in removal from the course.
Turn off and put away cell phones. No texting during class is allowed.
Laptops may be used only with prior approval by the professor.
In addition to the office hours of the professor and TA for this
course, there are several ways in which students can receive help.
Most highly recommended is the drop-in Math Help Center on the third floor of Chandler-Ullman. Its hours and staff will be posted.
Also available are the Writing and Math Center in Drown Hall, for which a
student must schedule regular appointments, and the peer tutoring
services organized through the University Center.
Accommodations for Students with Disabilities:
Lehigh University is committed to maintaining an equitable and inclusive community and welcomes students with disabilities into all of the University’s educational programs. In order to receive consideration for reasonable accommodations, a student with a disability must contact Disability Support Services (DSS), provide documentation, and participate in an interactive review process. If the documentation supports a request for reasonable accommodations, DSS will provide students with a Letter of Accommodations. Students who are approved for accommodations at Lehigh should share this letter and discuss their accommodations and learning needs with instructors as early in the semester as possible. For more information or to request services, please contact Disability Support Services in person in Williams Hall, Suite 301, via phone at 610-758-4152, via email at indss@lehigh.edu, or online at https://studentaffairs.lehigh.edu/disabilities.
The Principles of Our Equitable Community:
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 somewhat. Improving of the student's skills in basic mathematics is a collateral benefit.
- Differentiation and its applications, such as optimization and graph-sketching.
- Exponential, logarithmic, and trigonometric functions.
- Introduction to integration, which will be studied more thoroughly in Math 52.
Tentative schedule of lectures, Suggested Problems, and Hand-in Problems, which will be listed on CourseSite.
- Lecture 1: Tues Aug 23: 0.1, 0.2, 0.3.
- Suggested Problems: 0.1: 9, 23, 25, 29, 31, 41, 55. 0.2: 11, 17, 31, 33, 37.
- Hand in problems due Tues Aug 30.
- Lecture 2: Thurs Aug 25: 0.3, 0.4, 0.5.
- Suggested problems: 0.3: 11, 17, 19, 25, 32. 0.4: 11, 17, 25, 31. 0.5: 9, 19, 25, 29, 35, 51, 67.
- Hand in problems due Tues Aug 30.
- Lecture 3: Tues Aug 30: 0.6, 1.1.
- Suggested problems: 0.6: 15, 21, 31. 1.1: 9, 11, 17, 25, 31, 49.
- Hand in problems due Tues Sept 6.
- Lecture 4: Thurs Sept 1: 1.2, 1.3.
- Suggested problems: 1.2: 3, 11, 19, 23, 25. 1.3: 11, 15, 23, 27, 37, 45, 47, 57, 71.
- Hand in problems due Tues Sept 6.
- Lecture 5: Tues Sept 6: 1.4.
- Suggested problems: 1.4: 3, 9, 15, 17, 21, 25, 29, 34, 41, 55, 61, 62.
- Hand in problems due Tues Sept 13.
- Lecture 6: Thurs Sept 8: 1.5, 1.6.
- Suggested problems: 1.5: 1-6, 15, 17, 19, 21, 25. 1.6: 5, 11, 15, 33, 37, 47, 51.
- Hand in problems due Tues Sept 13.
- Lecture 7: Tues Sept 13: 1.7, 1.8.
- Suggested problems: 1.7: 5, 9, 15, 25, 27, 41.
- Hand in problems due Tues Sept 20.
- Lecture 8: Thurs Sept 15: 1.8, 2.1.
- Suggested problems: 1.8: 5, 7, 11, 15, 18. 2.1: 7, 17, 21, 29.
- Hand in problems due Tues Sept 20.
- Lecture 9: Tues Sept 20: 2.2.
- Suggested problems: 2.2: 1, 3, 9, 11, 23, 37, 43.
- Hand in problems due Thurs Sept 29.
- Thurs Sept 22. Review in class. HW will be returned.
Exam at 4:25. Covers through Section 2.1.
- Lecture 10: Tues Sept 27: 2.3.
- Suggested problems: 2.3: 7, 17, 25, 29, 39.
- Hand in problems due Thurs Sept 29.
- Lecture 11: Thurs Sept 29: 2.4, 2.5.
- Suggested problems: 2.4: 17, 27, 30, 33. 2.5: 5, 7.
- Hand in problems due Thurs Oct 6.
- Lecture 12: Tues Oct 4: 2.5, 2.6.
- Suggested problems: 2.5: 11, 13, 19, 27. 2.6: 3, 17, 27.
- Hand in problems due Thurs Oct 6.
- Lecture 13: Thurs Oct 6: 3.1, 3.2.
- Suggested problems: 3.1: 7, 11, 19, 23, 31, 32, 34, 37, 43, 55.
- Hand in problems due Thurs Oct 13.
- Lecture 14: Tues Oct 11: 3.2, 3.3.
- Suggested problems: 3.2: 9, 17, 31, 37, 43, 55. 3.3: 7, 11, 23, 27.
- Hand in problems due Thurs Oct 13.
- Lecture 15: Thurs Oct 13: 3.3, 4.1.
- Suggested problems: 3.3: 37, 44, 45, 46. 4.1: 1, 7, 15, 23, 29, 31, 35.
- Hand in problems due Thurs Oct 20.
- Lecture 16: Tues Oct 18: 4.2, 4.3.
- Suggested problems: 4.2: 1, 3, 19, 23, 29, 35, 41. 4.3: 7, 17, 23, 27, 29, 40, 41.
- Hand in problems due Thurs Oct 20.
- Lecture 17: Thurs Oct 20: 4.4, first half of 4.6.
- Suggested problems: 4.4: 1, 5, 7, 11, 17, 23, 29. 4.6: 13, 15, 21, 23, 27.
- Hand in problems due Thurs Nov 3.
- Lecture 18: Tues Oct 25: 4.5, second half of 4.6.
- Suggested problems: 4.5: 1, 3, 9, 17, 25. 4.6: 33, 46.
- Hand in problems due Thurs Nov 3.
- Thurs Oct 27. Review in class. Exam at 4:25. Covers 2.2-4.3.
- Lecture 19: Tues Nov 1: 5.1, 5.2.
- Suggested problems: 5.1: 3, 15, 21, 29, 33, 35, 47, 51.
- Hand in problems due Thurs Nov 3.
- Lecture 20: Thurs Nov 3: 5.2, 6.1.
- Suggested problems: 5.2: 3, 9. 6.1: 9, 13, 15, 33, 37, 43, 49, 55.
- Hand in problems due Tues Nov 15.
- Lecture 21: Thurs Nov 10: 6.2, 6.3.
- Suggested problems: 6.2: 5, 11, 15, 25, 33.
- Hand in problems due Tues Nov 15.
- Lecture 22: Tues Nov 15: 6.3, 6.4.
- Suggested problems: 6.3: 5, 11, 21, 23, 33, 37.
- Hand in problems due Tues Nov 22.
- Lecture 23: Thurs Nov 17: 6.4, 6.5.
- Suggested problems: 6.4: 6, 7, 17, 19, 44, 45. 6.5: 5, 9, 29, 33.
- Hand in problems due Tues Nov 22.
- Lecture 24: Tues Nov 22: 8.1, 8.2, 8.3.
- Suggested problems: 8.1: 1, 3, 5, 11. 8.2: 7, 27, 34.
- Hand in problems due Thurs Dec 1.
- Lecture 25: Tues Nov 29: 8.3, 8.4.
- Suggested problems: 8.3: 15, 23, 27, 33, 35, 41. 8.4: 17, 31, 37.
- Hand in problems due Thurs Dec 1.
- Thurs Dec 1: Review.