EOF Summer Course 2001

 

PRECALCULUS I
640:111

Instructor: Richard Porter

E-Mail: rrporter@rci.rutgers.edu

Web Page: http://www.math.rutgers.edu/~rrporter

Course Description

01:640:111
Math 111
CMA 
 Precalculus I (2)
Prerequisite: 01:640:026 or appropriate performance on the placement test in mathematics. Corequisites: 01:640:011 for 01:640:111. This course with 01:640:112 covers the same material as 01:640:115, but at a slower pace. Students may not receive more that 4 normal credits for any combination of 01:640:111-112, and 115.

Algebraic expressions, algebraic equations, inequalities, functions, and graphing. 

SYLLABUS

Text: Stewart, Redlin, and Watson, Precalculus: Mathematics for Calculus, 3rd Ed., l998: Brooks/Cole Publishing Co. 
       
Lecture
Sections
 Topics Homework Problems
1 
1.1
 The Real Numbers; Exponents and Radicals. #7,19,25,26,29,36,41,53,58,64
1.2
 #2,5,7,8,23,32,41,46,53,54,58 
60(b),61,63,65,71,73,74,75,76
2 
1.3
 Algebraic Expressions; Fractional Expressions. #7,15,18,27,28,31,51,57,61,68,88,94,95
1.4
 #11,13,18,22,32,35,42,45,57,58,65,67,70
3
1.5
 Equations. #3,15,17,22,31,33,43,46,50,51 
59,68,73,75,82,83,89,95,98
4
1.6
 Applications. #1,6,11,13,22,25,26,28,37,39,49,50,59
5
1.7
 Inequalities. #11,23,28,35,42,43,45,53,63,56,68,72
6
1.8
 Coordinate Geometry. #3,9,17,24,25,26,29,33 
42,44,53,59,66,67,73,78
7
1.10
 Lines. #3,9,14,21,24,26,29,31,36,41,46,50,52,53,61,66
8
EXAM I
9
1.9
 The Graphing Calculator. #3,6,9,22,25,26,29,30,38,39
10
2.1
 Functions. #3,4,7,8,11,13,14,20,21 
29,30,33,34,45,47,50
11
2.2
 Graphs of Functions. #3,4,5,7,12,15,18,41,47 50,63,64,71,76,78
12
2.3
 Applied Functions. #1,2,4,7,8,9,11,12,13 
20,21,22,28,39,40
13
2.4
 Transformations of Functions. #2,4,5,8,9,11,12,21 
22,25,26,29,30,33,46
14
2.5
 Extreme Values of Functions. #7,8,23,26,36,37,41,46,55,58,60
15
2.6
 Combining Functions. #3,4,9,10,12,15,16,23,24,35,36,47,48,53,55,56
16
EXAM II
17
2.7
 One-to-One Functions and Their Inverses. #3,4,5,6,11,12,14,15,19,21,29,30,31,35,38
18/22
Material on Modeling
(pgs 210-219).
 pg 218 #6,7
18
3.1
 Polynomial Functions. #3,4,5,11,12,27-30,39 
40,48,56,57,58,64
19
3.2
 Real Zeros of Polynomials. #5,6,14,16,47,50,85,86
20
3.3
 The Arithmetic of Complex Numbers; Complex Roots. #7,8,15,16,21,22,36,72
3.4
 #5,6,17,18,23,24,32,49
21
3.5
 Rational Functions. #5,6,9,10,21,22,33,34,49,50,51,52,55,61,62,63

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