Course Report for Math 111 (Calculus 1)& Math 112
(Calculus 2)
Rose Dios
Fall 1994 & Spring 1995
These calculus courses are four credits each with the usual populations
of engineering, science and mathematics majors. The courses focus upon
the following topics: an ALN component has been used, so far, only in Math
111. The problem has been lack of ability for students to send and
receive formulas online and lack of web-ready equipment for both the instructor
and some students who need a distance course for a degree other than the
BAIS.
Calculus I
Week 1
Functions and Graphs
2 Straight Lines and Average
Rates of Change
3 Instantaneous Rates of Change
4 Derivatives
5 Rules for Differentiation
6 Power, Product and Quotient
Rules
7 Chain Rule and Related Rates
8 Maxima & Minima Problems
9 Integration
10 Areas Under Graphs
11 Antiderivative Formulas
12 Areas Between Two Curves
13 Volumes (Disks)
14 Volumes (Shells)
15 Final Exam
Calculus II
Week 1 Volumes
(Disks, Shells, Washers)
2 Length of a Curve
3 Parametric Equations
4 Surface Area
5 Work, Forces
6 Exponential Functions
7 Logarithmic Functions
8 Methods of Integration
9 Integration by Parts
10 Hyperbolic Functions
11 Polar Coordinates
12 Areas and Length of a Curve
13 Infinite Series
14 Taylor Series
15 Final Exam
The above two telecourses are in the form of videotapes: Math 111 is presented
in 45 tapes, and Math 112 is given in 65 tapes (for a total of 70 hours
viewing time).
The students in Math 111 viewed 3 to 4 tapes each week while the students
in Math 112 viewed 5 tapes each week. They each received a packet in the
mail with a list of weekly homework assignments and 3 special assignments
which were treated as take-home exams. In Math 111, 3 additional assignments
were presented in a course conference on EIES2. Of the 16 students enrolled
in Math 111, 9 of them were equipped to participate in computerized conferencing
using EIES2. These students got to know each other better than those who
could not access EIES2. They developed a warm sense of comrader as they
helped each other with homework problems and questions on the lecture material.
It was clear that the shared work was helpful. Students who could not access
EIES2 submitted their homework and tests through the mail or directly to
the professor. Both Math 111 and Math 112 students sat for an in-class
final exam at the end of each semester. The final exam counted for 25%
of the final course grade; the take-home exams and homework counted for
the remaining 75% of the grade. Those students who completed the course
on time did well (mostly A's and B's). But, most of the students who received
a grade of Incomplete did not make up the work in the allotted extension
period.