MA 121 Syllabus

Mathematics Department
Indiana University of Pennsylvania
Indiana, PA 15705

Course Number:	MA 121

Course Title:	Calculus I for Natural, Social Sciences and Business

Credits:	4 semester hours

Prerequisites:	MA 110 or equivalent high school preparation

Textbook:	Applied Calculus, 3rd ed.
		by Bittinger and Morrel
		Addison Wesley

Revised:	8/93

Catalog Description:
Introduces non-Math major to analytic geometry, elementary functions (including logarithmic and exponential functions), central ideas of the calculus (limit, derivative, and integral), applications of derivatives to business, social, and natural sciences . 
Course Outline/Sample Time Schedule:

1.	Algebra Review, Functions, and Modeling
	1.1	Exponents, Multiplying and Factoring(1 hour)
	1.2	Equations, Inequalities, and Interval Notation(1 hour)
	1.3	Graphs and Functions(1 hour)
	1.4	Slope and Linear Functions(1 hour)
	1.5	Other Types of Functions(2 hours)
	1.6	Mathematical Modeling(1 hour)

2.	Differentiation
	2.1	Limits and Continuity(2 hours)
	2.2	More on Limits(1 hour)
	2.3	Average Rate of Change(1 hour)
	2.4	Differentiation Using Limits(1 hour)
	2.5	Differentiation Techniques: 
		Power and Sum-Difference Rules(1 hour)
	2.6	Instantaneous Rate of Change(1 hour)
	2.7	Differentiation Techniques: 
		Product and Quotient Rules(1 hour)
	2.8	The Chain Rule(1 hour)
	2.9	Higher-Order Derivatives(1 hour)

3.	Applications of Differentiation
	3.1	Using First Derivatives to Find Maximum and
		Minimum Values and Sketch Graphs(2 hours)
	3.2	Using First Derivatives to Find Maximum and
		Minimum Values and Sketch Graphs(3 hours)
	3.3	Graph Sketching:  Asymptotes and Rational 
		Functions(2 hours)
	3.4	Using Derivatives to Find Absolute Maximum
		and Minimum Values(1 hour)
	3.5	Maximum-Minimum Problems(2 hours)
	3.7	Implicit Differentiation and Related Rates(2 hours)

4.	Exponential and Logarithmic Functions
	4.1	Exponential Functions(2 hours)
	4.2	Logarithmic Functions(2 hours)
	4.3	Applications: The Uninhibited Growth Model(2 hours)
	4.4	Applications: Decay(2 hours)
	4.5	Derivatives of ax and logax(1 hour)
	4.6	An Economic Application: Elasticity of Demand(1 hour)

5.	Integration
	5.1	The Antiderivative(2 hours)
	5.2	Finding Area Using Antiderivatives(1 hour)
	5.3	Integration on an Interval: The Definite 
		Integral(1 hour)
	5.4	The Definite Integral: The Area Between 
		Curves(1 hour)
	5.5	Integration Techniques: Substitution(2 hours)
	5.8	The Dinite Integral as the Limit of Sums(1 hour)

6.	Applications of Integration
	6.1	Economic Application: Consumer's Surplus and
		Producer's Surplus(1 hour)
	6.2	Applications of the Models  
		and (1 hour)
This syllabus covers 49 hours of class time. This leaves 4 hours for tests and 3 free days to cover optional computer topics, do explorations, or to devote extra time to topics that may give your students difficulty. 

The PC software The Calculus Explorer is available for use in this course both outside of class and for in-class demonstrations.  There are Computer-Graphing Calculator Exercises at the end of many sections and the text contains numerous hints for using T

he Calculus Explorer software.  There are also suggestions for student explorations throughout the text.


Note:  If you wish to use a graphing calculator in this course, you must notify the chairperson of the Service Courses Committee one semester in advance so that a note to this effect can be included on the Course Schedule for students.  



Notes 

1.	We no longer cover the distance formula and circles.

2.	Most of the topics in the course remain the same.  The order and presentation have changed, however.

3.	This text lends itself more readily to applications.  Please take advantage of this.

4.	To keep with the old syllabus, sections 5.6 and 5.7 (Integration by Parts and Using Tables) will be covered in MA 122 and two application sections (6.1 and 6.2) will be covered in MA 121.

5.	In sections 6.1 and 6.2, integration by parts is not needed.