MA 110 Syllabus

Mathematics Department
Indiana University of Pennsylvania
Indiana, PA 15705



Course Number:		MA 110

Course Title:		Elementary Functions

Credits:		3 semester hours

Prerequisites:		student may not have succussfully completed a calculus course

Textbook:		Mathematics for Calculus (2nd ed.)
			by Stewart, Redlin, Watson
			Brooks/Cole Pub. Co.

Revised:		8/93

Catalog Description:

Course Outline/Time Schedule*:

1.	Fundamentals
	1.9	Coordinate Geometry  [Note: Try to avoid using x,y charts when plotting points; have the students write ordered pairs instead.]
	1.10	Lines
	Principles of Problem Solving

2.	Functions
	2.1	Functions
	2.2	Graphs of Functions
	2.4	Applied Functions
	2.5	Transformations of Functions
	2.6	Quadratic Functions and Their Extreme Values [Note:  Distinguish between an extreme value and where it occurs.]
	2.8	Combining Functions
	2.9	Composition of Functions
	2.10	One-to-one Functions and Their Inverses  [Focus on Problem Solving: Pattern Recognition]

3.	Polynomials and Rational Functions
	3.1	Polynomial Functions and Their Graphs [Note:  Cover graphing factored polynomials, i.e., (x-3)(x+2)2(x-1), though it is not in the text.]
	3.3	Dividing Polynomials 
	3.4	Rational Roots [Note:  Only the Rational Root Theorem]
	3.5	Irrational Roots
	3.9	Rational Functions [Note: Oblique asymptotes are optional.]
	3.11	Polynomial and Rational Inequalities

4.	Exponential and Logarithmic Functions
	4.1	Exponential Functions
	4.2	Application:  Exponential Growth and Decay
	4.3	Logarithmic Functions
	4.4	Laws of Logarithms
	4.5	Applications of Logarithms
	
5.	Trigonometric Functions of Real Numbers
	5.1	The Unit Circle
	5.2	Trigonometric Functions of Real Numbers
	5.3	Trigonometric Graphs
	5.4	More Trigonometric Graphs
	
6.	Trigonometric Functions of Angles 
	6.1	Angle Measure 
	6.2	Trigonometry of Right Angles
	6.3	Trigonometric Functions of Angles  [Note: Omit area of a triangle formulas.]
	6.4	The Law of Sines  [**OPTIONAL**]
	6.5	The Law of Cosines  [**OPTIONAL**]

*This syllabus covers 30 sections in the text.  Covering one section per hour, this leaves 4 hours for tests, and 4 days to optional topics or review.

Some instructors may require the use of a graphing calculator.  If so, this information will be included in the Semester Schedule under prerequisites.  


Suggested Problem Assignments for MA 110
To Accompany Mathematics for Calculus 2nd ed., by Stewart, Redlin, and Watson.

1.9	3, 5, 7, 9, 11, 15, 19, 21, 23, 25, 29, 35, 37, 40, 41, 43, 45, 49, 50, 58, 59, 61, 63, 65, 70, 73, 81
1.10	1, 3, 5, 6, 7, 11, 13, 15, 17, 19, 21, 29, 39, 43, 45, 47
Principles of Problem Solving (page 104)	1-4, 9, 11
2.1	1, 3, 5, 7, 9, 13, 17, 19, 20, 23, 29, 31, 33, 37
2.2	1, 5, 6, 7, 8, 9, 11, 13, 17, 18, 19, 21, 23, 29, 31, 39, 41, 45, 47, 49, 52, 59-65
2.4	1, 2, 3, 5, 7, 9, 11, 13, 17, 20, 25, 29, 33, 37, 39, 41, 43
2.5	1-5, 7, 9, 10, 12, 13, 15-29(odd)
2.6	1, 5, 7, 9, 11, 13, 15, 17, 25, 27, 29, 30, 35
2.8	1, 3, 5, 8-11, 13
2.9	1, 3, 7, 9, 10, 11, 13, 15, 17, 21-24, 29, 33, 35
2.10	1-12, 17, 19, 21, 23, 26, 27, 31, 33, 35, 36, 38, 41
Focus on Problem Solving:  Pattern Recognition(page175)	1, 3, 4, 5
3.1	2, 3, 5, 7, 9, 11, 13, 14, 15, 19, 25, 28
3.3	3, 7, 11, 17, 19, 27, 31, 33, 41, 45, 47, 50, 51, 53
3.4	1, 3, 23, 29, 35, 41, 49, 59 (For 23-49 directions must be changed so that only the Rational Root Theorem, factoring, and the Quadratic formula are used.
3.5	1, 3, 7, 13, 15, 23
3.9	1, 3, 9, 16, 21, 25, 29, 49, 53, 55
3.11	1, 5, 9, 19, 29, 33, 39, 49, 51, 55, 59
4.1	1, 3, 9, 11, 15, 23, 29, 31
4.2	1, 4, 5, 7, 9, 11, 13, 14, 15
4.3	1, 2, 3, 7, 9, 13, 15, 19, 21, 22, 27, 31, 33, 37-59(odd), 65, 69, 71, 73
4.4	1, 5, 9, 13, 17, 21, 25, 26, 27, 29, 31, 35, 39, 41, 55, 57, 61, 65, 71, 77, 79
4.5	5, 9, 11, 13, 17-29(odd)
5.1	1-35(odd), 39, 43, 45
5.2	1-19(odd), 25, 27, 31, 35-47(odd), 51, 53, 61, 63, 65, 71, 75
5.3	3, 5, 7, 9, 13, 17, 21, 25, 29, 37-45(odd)
5.4	1, 5, 9, 13, 19, 47
page 367:	#9
6.1	3, 8, 11, 13, 19, 21, 23, 29, 49, 51, 53, 55, 59
6.2	3, 9, 12, 13, 15, 17, 19, 21, 23, 27, 29, 30, 35, 39, 41, 45, 47, 51
6.3	1, 3, 5, 9, 11, 13, 17, 19, 27, 30, 39, 41, 43-47, 51, 57, 61, 65