Train of gears with multiplying
power of 1012 (Leonardo da Vinci).
Fall 1999 Staff, Schedule and Homework
Review for Midterm I
Review for Midterm II
Review for Final
This course is
designed for students, typically in the humanities
and in the social sciences, who must take a one semester course in
Mathematical and Statistical Reasoning to fulfill their distribution
requirement (D.E.C. Category C).
Prerequisite: score of 2+ or better on
Mathematics Placement Examination.
The course will help students develop
- Appreciation for the intellectual scope of
mathematics, and its connections with other disciplines.
- Quantitative thinking and problem solving abilities.
The course will give students a taste of several topics in
mathematics, chosen according to
two criteria: approachability by non-technically-oriented
students, and relevance to their future activities or
In each of these topics students will engage in the actual process of
solving. So this course is not a general
survey of the history of mathematics, nor a ``math for poets'' course.
It will be a regular math course, with problem sets and
The text will be Mathematics, A Practical
Odyssey by Johnson and Mowry (Brooks Cole).
Each student should have a scientific calculator.
- Weeks 1-3. Logical Reasoning and Problem Solving:
Logical assertions, connectives, syllogisms, contradictions.
Strategies for simple problem solving.
- Weeks 4-6. Numbers, Functions and Modeling:
Arithmetic and algebra -- brief survey with exercises.
Elementary functions: linear, powers, exponentials.
Particular emphasis on the modeling of relationships between
real-life quantities, visualization using graphs and the
significance of graph features to the subject being modeled.
- Weeks 7-9. Combinatorics and Probability:
Counting methods, permutations and combinations.
Basic examples like Fibonacci sequence, Pascal's triangle.
Elementary probability examples.
- Weeks 10-12. Growth and Change:
Difference equations. The basic ideas of calculus.
- Weeks 13-15. Other topics as time permits, and according to instructor preference.
Schedule in Fall 1999:
Lecture MW 9:25-10:20
Recitation 01 TuTh 9:50-10:45
Recitation 02 TuTh 12:50-1:45
For more information contact Prof. Anthony Phillips, Mathematics Department, 632-8290.