Spring Semester 2001
Minard 219, 8-8:50 MWF
Bill Martin, Assistant Professor
Department of Mathematics, Rm. 304B Minard, NDSU
Phone: 231-8480
Office hours: 9:30-10:30 Tuesday, 9-10 Wednesday and Friday (or by appointment)
University Calculus II is intended for students who require the regular science/engineering calculus sequence in their undergraduate program. With other courses in the sequence, it serves as a prerequisite for many advanced courses in science and mathematics. Math 166 is designed to develop quantitative skills that will be required for a variety of technical fields, including physical science, engineering, and mathematics.
Content: The focus of this second course in the regular calculus sequence is on continuing development of the foundations of calculus (functions of a single variable), especially limits, integral calculus, sequences and series, parametric equations and polar coordinates, and applications.
To give students an understanding of and appreciation for the theory and applications of the differential and integral calculus of functions of one variable.
It develops student capabilities related to several of NDSU's General Education Objectives, including:
Grades in the course will reflect students' demonstrated attainment of course objectives. Grades will not be curved. As a guideline percentages in the 90s are A, 80s are B, 70s are C, 60s are D, and below 60% is unsatisfactory. The weighting of components will be as follows:
Class attendance will be noted and active participation in class, both in lecture and recitation, will be essential for success. Some graded work will be completed during class time. There will be weekly quizzes in recitations and regular quizzes in lectures. There will be no makeups for missed quizzes and homework. Makeup tests will only be given in the most exceptional circumstances (such as medical emergencies) and require prior approval of the instructor (unless impossible, in which case written excuses may be required). Even when approved, late work may not be graded until after the end of the semester, which could result in an "incomplete" grade for the course. Makeup tests tend to be more difficult, though this is not a deliberate policy. Students who are not regularly attending classes cannot expect special consideration in relation to their grades. Academic dishonesty will not be tolerated and will result in severe sanctions, such as failure of the course.
Group work: The lecture/discussion format of this course, which precludes extensive interaction with individuals during lectures, makes recitations and group work especially important. Research shows that working together cooperatively enhances learning and retention. Groups, to be formed during the first two weeks, will work together on homework, special assignments, and take-home portions of tests during the semester.
|
Topics |
Suggested Time | |
| 1 | Review of the definite integral. Techniques of integration including improper integrals and numerical integration. | 3 weeks |
| 2 | Applications of integrals including moments, centroids, lengths, areas, and volumes. | 3-4 weeks |
|
3 |
Sequences and series. Convergence tests and estimation of sums. | 2-3 weeks |
|
4 |
Power series,Taylor series, and applications. | 2-3 weeks |
| 5 | Parametric and polar equations. | 2 weeks |
| Week | Date | Topics |
| 1 | January 10, 12 (WF) | Review of the integral: Sections 5.1-5.6
Group Project 1 Assigned (Due in recitation Tuesday January 30) |
| 2 | Jan 17, 19 (WF) (Martin Luther King Day Jan 15) | Applications of integration: Sections 6.1, 6.2 |
| 3 | Jan 22, 24, 26 |
Applications of integration: Sections 6.3-6.5 |
| 4 | Jan 29, 31, Feb 2 | Integration techniques: Sections 7.1-7.3 Group Problem 1 due in recitation Tue Jan 30 |
| 5 | Feb 5, 7, 9 | Integration techniques: Sections 7.4-7.7 |
| 6 | Feb 12, 14, 16 | Improper integrals, further applications: Sections 7.8, 8.1
Test 1 February 15 (Thursday evening, 6-7:30 pm in Stevens Auditorium) |
| 7 | Feb 21, 23 (President's Day Feb. 19) | Applications: Sections 8.2-8.5 |
| 8 | Feb 26, 28, March 2 | Sequences and Series: Sections 11.1-11.3 |
| 9 | March 5, 7, 9 | Sequences and Series: Sections 11.4-11.6 |
| 10 | March 19, 21, 23 (Spring Break Mar 12-16) | Sequences and Series, Review: Sections 11.7, 11.8
Test 2 March 22 (Thursday evening, 6-7:30 pm in Stevens Auditorium) |
| 11 | March 26, 28, 30 |
Series: Sections 11.8, 11.9, 11.10 |
| 12 | April 2, 4, 6 | Series: Sections 11.11, 11.12 |
| 13 | April 9, 11 (MW) (Easter recess April 13, 16) |
Parametric Equations: Sections 10.1, 10.2 |
| 14 | April 18, 20 | Parametric equations, Polar Coordinates: Sections 10.3, 10.4 |
| 15 | April 23, 25, 27 | Polar Coordinates, review: Sections 10.5, 10.6
Test 3 April 26 (Thursday evening, 6-7:30 pm in Stevens Auditorium) |
| 16 | April 30, May 2, 4 | Modelling with differential equations, review: Sections 10.7*, 9.1* |
| 17 | (May 7-11 Final Exams) | Final Examination May 7 (3-5 pm Stevens Auditorium) |
*Starred sections may be treated lightly or omitted if there are disruptions, such as bad weather. The schedule is subject to change, if necessary. Check the "last modified" date on the website for the most recent update (below).