MA 122 Syllabus

Mathematics Department
Indiana University of Pennsylvania
Indiana, PA 15705

Course Number:	MA 122

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

Credits:	4 semester hours

Prerequisites:	MA 121

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

Revised:	8/93

Catalog Description:

Course Outline/Sample Time Schedule:

5.	Integration
5.5  Integration Techniques: Substitution  REVIEW.(1 hour)
	5.6  Integration Techniques: Integration by Parts(2 hours)
	5.7  Integration Techniques: Using Tables(1 hour)

6.	Applications of Integration
	6.3  Improper Integrals(1 hour)
	6.4  Probability(2 hours)
6.5  Probability: Expected Value; 
	the Normal Distribution(2 hours)
	6.7  Differential Equations(2 hours)

7.	Functions of Several Variables
	7.1  Functions of Several Variables(1 hour)
	7.2  Partial Derivatives(1 hour)
	7.3  Higher-Order Partial Derivatives(1 hour)
	7.4  Maximum-Minimum Problems(2 hours)
	7.6  An Application: The Least Squares Technique(1 hour)
7.7  Constrained Maximum and Minimum Values:
       	Lagrange Multipliers(2 hours)
	7.8  Double Integration: Rectangular Regions(1 hour)
	7.9  Double Integration: More General Regions(2 hours)


8.	Trigonometric Functions
	8.1  Introduction to Trigonometry (2 hours)
	8.2  Derivatives of the Trigonometric Functions(1 hour)
	8.3  Integration of the Trigonometric Functions(1 hour)
	8.4  Inverse Trigonometric Functions (OPTIONAL)(1 hour)

9.	Differential Equations
	9.1  Differential Equations(1 hour)
	9.2  Separation of Variables(1 hour)
	9.3  Applications: The Inhibited Growth Model(1 hour)
	9.4  Applications: The Growth Model(1 hour)
	
10.	Taylor Series and l'Hopital's Rule
	10.1  Taylor's Formula for Polynomials(1 hour)
	10.2  Taylor Polynomials(1 hour)
	10.3  Infinite Series(2 hours)
	10.4  Taylor Series(2 hours)
	10.5  Indeterminate Forms and l'Hopital's Rule(2 hours)

11.	Numerical Techniques			
	11.1  Solving Equations Numerically: Iteration(1 hour)
	11.2  Newton's Method(1 hour)
11.3  An Application: Yield Rate 
		(Internal Rate of Return)(1 hour)
	11.4  Numerical Integration(2 hours)
	11.5  Extrapolation: Speeding Up Convergence(1 hour)
	11.6  Euler's Method(2 hours)