Quantitative Foundations for Business

QUME 100· Outline for F26W03· 3 credits· Quantitative Methods

Chapter outline

Sections and the suggested practice problems, in order. Badges show which exam covers each chapter.

Ch 0Review of AlgebraExam 18 sections

Section	Title	Suggested practice
0.1	Sets of Real Numbers	3,5,7,11
0.2	Some Properties of Real Numbers	25,27,63,67,73,75
0.3	Exponents and Radicals	5,39,41,51,63,71,75
0.4	Operations with Algebraic Expressions	15,19,35,47,51
0.5	Factoring	5,7,35
0.6	Fractions	9,29,33,47,53
0.7	Linear Equations	1,3,21,25,29,43,55,71,81,89,91
0.8	Quadratic Equations	7,9,31,33,49,53,59

Ch 1Applications and More AlgebraExam 17 sections

Section	Title	Suggested practice
1.1	Applications of Equations	9,11,13,31,33,43
1.2	Linear Inequalities	7,9,15,19
1.3	Applications of Inequalities	1,3,8,13
1.4	Absolute Value	5,11,19,29
1.5	Summation Notation	3,5,7,9,13,17,19,25
1.6	Sequences	3,9,13,17,21,25,31,33,47,49,53
Review	Review Problems	19

Ch 2Functions and GraphsExam 28 sections

Section	Title	Suggested practice
2.1	Functions	7,17,19,23,31,35,45,49,57
2.2	Special Functions	1,3,5,11,13,19,21,23,27,33,39
2.3	Combinations of Functions	3,7,13,17,23
2.4	Inverse Functions	1,3,5,7,9,13
2.5	Graphs in Rectangular Coordinates	1,5,9,11,31,39,40,41,47,51,55* (* = use Excel)
2.6	Symmetry	1,3,9,13,19,27
2.7	Translations and Reflections	1,3,5,9
2.8	Functions of Several Variables	1,3,7,11,15,17,19,25,29

Ch 3Lines, Parabolas and SystemsExam 25 sections

Section	Title	Suggested practice
3.1	Lines	1,3,9,13,17,21,23,27,37,43,51,55,65
3.2	Applications of Linear Functions	3,5,7,9,15,17,19,23,25,27,29
3.3	Quadratic Functions	3,5,9,11,15,21,25,31,33
3.4	Systems of Linear Equations	1,9,15,19,28,33
3.6	Applications of Systems of Equations	1,3,5,7,9,13,15,17,21

Ch 4Exponential and Logarithmic FunctionsExam 34 sections

Section	Title	Suggested practice
4.1	Exponential Functions	1,3,5,7,15,19,21,23,29,35,59
4.2	Logarithmic Functions	1,9,17,31,37,49,53,59,63
4.3	Properties of Logarithms	1,3,15,19,21,29,37,43,45
4.4	Logarithmic and Exponential Equations	1,5,7,13,27,33

Ch 6Matrix AlgebraExam 33 sections

Section	Title	Suggested practice
6.1	Matrices	1,3,5,7,9,11,19,27,33
6.2	Matrix Addition and Scalar Multiplication	1,5,11,17,19,21,29,33,35,37
6.3	Matrix Multiplication	1,3,7,19,23,25,33,35,37,45,59,61,63

Ch 10Limits and ContinuityExam 33 sections

Ch 11DifferentiationExam 45 sections

Section	Title	Suggested practice
11.1	The Derivative	1,3,5,7,11,15,19,25,27,35
11.2	Rules for Differentiation	1,3,7,11,17,21,31,39,47,55,59,69,71,73,75,81,85,87
11.3	The Derivative as a Rate of Change	1,5,21,23,39,41,47
11.4	The Product Rule and the Quotient Rule	1,7,9,19,21,27,31,39,45,51,59,61,65
11.5	The Chain Rule	1,5,9,13,19,27,39,51,53,61,67,69,79

Ch 12Additional Differentiation TopicsExam 41 section

Section	Title	Suggested practice
12.7	Higher-Order Derivatives	1,3,5,7,9,15,23

Ch 13Curve SketchingExam 45 sections

Section	Title	Suggested practice
13.1	Relative Extrema	1,3,5,7,9,15,23,37,41,53,59,69
13.2	Absolute Extrema on a Closed Interval	1,3,5
13.3	Concavity and Inflection points	1,3,5,7,13,19,21,23,39,45,53,63,65,67
13.4	The Second-Derivative Test	1,3,5,7,9,11,13
13.6	Applied Maxima and Minima	5,7,11,13,15,17,19,27,29