Calculus


 date:2010-1-7 12:08:00 source:BiMBA         

References:

De'en Gong: Basic Mathematics for Economists --- Calculus, Sichuan People's Publishing House, Sichuan, 2000

Structure of the Course:

1.       Functions and Models

2.       Limits and Continuity

3.       Derivative and Differential

4.       Fundamental theorem and application of differential calculus

5.       Indefinite integral

6.       Definite integral and its application, improper integral

7.       Multivariable differential calculus

8.       Multiple integral

9.       Infinite series

10.   Basic ordinary differential equation

Course Objectives:

A primary objective of a course in calculus is to provide a bridge for the student from high-school or lower-division mathematics courses to upper-division mathematics. The student will be challenged to grow in mathematical maturity, and to develop and strengthen problem-solving skills. Beyond the content of individual courses, the major in mathematics is designed to prepare students for the 21st century by helping students to become problem solvers, effective communicators, users of appropriate technology, and team players. In this course, students will be engaged in a variety of activities which will help them to move toward achieving these goals.

Examination:

Regular attendance, participation, lab activities, quizzes, homework: 30%

Mid –Term Test: 30%

Final Test: 40%

Credits & Workload:

4 Credits & 4 hours per Week (teaching) + 2 hours per Week (tutoring); 15 Weeks, 60 hours (teaching) + 30 hours (tutoring)

Excerpt:

The teacher explained what calculus already is by giving the following Real-World Example of Calculus. ”With regular math and some simple physics, you can calculate by how much a quarterback must lead his receiver to complete a pass. Note that the receiver runs in a straight line and at a constant speed. But when NASA, in 1975, calculated the necessary “lead” for aiming the Viking I at Mars, it needed calculus because both the Earth and Mars travel on elliptical orbits (of different shapes) and the speeds of both are constantly changing — not to mention the fact that on its way to Mars, the spacecraft is affected by the different and constantly changing gravitational pulls of the Earth, the moon, Mars, and the sun. These problems involve breaking up something into little sections, calculating each section, and then adding up the sections to get the total.”

 

 
 
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