MA 123 Syllabus

Mathematics Department
Indiana University of Pennsylvania
Indiana, PA 15705

Course Number:		MA 123

Course Title:		Calculus I for Physics and Chemistry

Credits:		4 semester hours

Prerequisites:		High school algebra, geometry, trigonometry

Textbook:		Calculus&Mathematica  
			by Davis, Porta, and Uhl
			Addison Wesley

Revised:		8/93

Catalog Description:

Functions, limits, continuity, derivatives, application of the derivative, integral, and application of the integral. (Trigonometric and inverse trigonometric functions are included throughout the course.)

Course Outline

1.	Growth					
	1.01	Growth
Slope of a line; behavior of  xk; behavior of erx; dominant terms in polynomials, rational functions, and exponential functions; limit as x approaches infinity
	1.02	The Number e
Logarithms, halflife, other bases, fitting exponential curves to data
	1.03	Instantaneous Growth
Definition of derivative, derivatives of xk, ex , bx , ln x, logb x, sin(x), cos(x)
	1.04	Rules of the Derivative
		Sums, product rule, chain rule, partial derivatives
	1.05	Using the Tools
Finding maxima and minima, linear regression, Fourier approximation, second derivative
	1.06	The Differential Equations of Calculus
		y' =ry, logistic differential equation, y'=ry+b
	1.07	The Race Track Principle
 (f(a)=g(a) and f'(x)