University of Houston
Mathematics Department
MATH 2303 — Concepts in Algebra

Syllabus

Prerequisites:   Math 1312 or Math 1313

Text:   A Survey of Mathematics with Applications, 7^th edition, Angel, Abbott, & Runde, Pearson/Addison Wesley

Chapter 4: Systems of Numeration

4.1 Additive, Multiplicative, and Ciphered Systems of Numeration
4.2 Place-Value or Positional-Value Numeration Systems
4.3 Other Bases
4.4 Computation in Other Bases

Chapter 5:   Number Theory and the Real Number System

5.1 Number Theory
5.2 The Integers
5.3 The Rational Numbers
5.4 The Irrational Numbers and the Real Number System
5.5 Real Numbers and Their Properties

Chapter 6:   Algebra, Graphs, and Functions

6.1 Order of Operations
6.2 Linear Equations in One Variable
6.3 Formulas
6.4 Applications of Linear Equations in One Variable
6.7 Graphing Linear Equations

Chapter 8:   The Metric System

8.1 Basic Terms and Conversions within the Metric System
8.2 Length, Area, and Volume
8.3 Mass and Temperature
8.4 Dimensional Analysis and Conversions

Chapter 10: Mathematical Systems

10.1  Groups
10.2  Finite Mathematical Systems
10.3  Modular Arithmetic

Chapter 11:   Consumer Mathematics

11.1  Percent
11.2  Personal Loans and Simple Interest
11.3  Compound Interest
11.4  Installment Buying
11.5  Buying a House with a Mortgage

Suggested Problem List

Note that a calculator with an exponentiation key and a natural logarithm key is needed for the material in Chapter 11.

Chapter 4

4.1: 12, 18, 26, 39, 46, 52, 59, 67, 69, 71 — 73, 76 — 79
4.2: 18, 26, 29, 31, 39, 40, 44, 49, 50, 50 - 54
4.3: 8, 9, 12, 24, 29, 31, 38, 41, 48, 55, 56
4.4: 10, 15, 21, 30, 35, 38, 43, 46, 53
Review:2, 3, 8, 9, 14, 15, 20, 21, 26, 31, 37, 44, 52, 56, 62, 69, 74, 79

Chapter 5

5.1: 7, 8, 16, 18, 19, 21, 23, 24, 26, 28, 32, 34, 38, 42, 49, 50, 57, 58, 61
5.2: 47 — 56, 72, 75
5.3: 4, 5, 10a, 14, 24, 34, 40, 50, 52, 59, 60, 64, 77, 84, 86, 91, 97, 100
5.4: 1, 4, 7, 12, 16, 25, 31, 32, 33, 40, 44, 54, 57, 65, 66, 73, 80, 82, 85 - 99
5.5: 3, 6, 7, 9, 10, 12, 14, 15, 21, 22, 32, 36, 40, 67, 68, 70, 74, 78, 86
Review: 12, 20, 29, 30, 35, 46, 63, 64, 76 80, 91 — 96

Chapter 6

6.1: 3, 4, 7, 8, 12, 14, 21, 26, 28, 32, 36, 40, 43
6.2: 5, 10, 12, 13, 32, 35, 38, 42, 43, 46, 48, 58, 60, 66, 70 — 72
6.3: 4, 12, 13, 14, 21, 22, 23, 26, 30, 38, 46, 58, 61, 67, 70, 72
6.4: 1, 7, 11, 14, 19, 20, 23, 24, 25, 26, 28, 30, 31, 32, 38, 43
6.7: 5, 8, 34, 41, 43, 52, 62, 68, 72, 84, 90, 97, 99
Review: 5, 9, 12, 14, 15, 19, 27, 28, 34, 36, 40, 65, 70, 78, 81

Chapter 8

8.1: 3, 6, 7, 8, 10, 11 — 14, 24, 32, 36, 40, 46, 55, 60, 64, 66, 68, 71, 75
8.2: 13, 20, 24, 26, 31, 36, 39, 42, 46, 72, 93, 98, 108, 111
8.3: 4, 13, 14, 19, 21, 29, 32, 35, 59, 66
8.4: 1, 2, 6, 14, 22, 37, 39, 47, 50, 52, 58, 63
Review:4, 8, 14, 18 — 20, 27, 31, 49, 52, 60, 61

Chapter 10

10.1: 2, 3, 4, 5, 9, 10, 15, 17, 23 — 38
10.2: 4, 6, 8, 10, 12, 18, 20, 23, 26, 32, 36, 45, 46, 51, 54, 57, 62, 65, 66, 67, 72, 77, 79
10.3: 2, 3, 8, 11, 16, 22, 25, 27, 30, 31, 32, 36, 39, 44, 45, 50, 54, 55, 58, 61, 65
Review: 1 — 4, 7, 10, 11 — 16, 18, 20, 26, 34, 39, 41 — 43

Chapter 11

11.1: 5, 6, 8, 12, 16, 20, 25, 28, 31, 32, 40, 49, 51, 56
11.2: 7, 10, 14, 18, 19, 22, 26, 28, 30, 32, 34, 40, 51
11.3: 5, 8, 13, 18, 20, 24, 27, 30, 33, 35, 41
11.4: 3, 6, 10, 12, 14, 17, 23, 28, 35
11.5: 3, 7, 9, 12, 16, 19, 22, 25
Review: 14, 18, 26, 30, 33, 40