MATH 05 Syllabus

 

SYLLABUS: MTH 05 Basic Concepts of Mathematics 1;
PREREQUISITE: RDL 01 if required; corequisite RDL 02, if required.
TEXT: Elementary and Intermediate Algebra A Unified Approach by Hutchison, Bergman, Hoelzle, second edition. McGraw Hill, 2004

Suggested Homework
Chapter Section Topic Pages Problems
0: The arithmetic of signed numbers (10 hours) 0.1 A Review of Fractions 9 - 11 all odd problems
0.2 The Integers 17, 18 all odd problems
0.3 Adding and Subtracting Signed Numbers 26 - 28 all odd problems
0.4 Multiplying and Dividing Signed Numbers 38 - 40 all odd problems
0.5 Exponents and Order of Operations 47, 48 all odd problems
1: From Arithmetic to Algebra (6 hours) 1.1 Transition to Algebra 64 - 66 all odd problems
1.2 Evaluating Algebraic Expressions 74 - 77 all odd problems
1.3 Adding and Subtracting Algebraic Expressions 86 - 89 all odd problems
1.4 Sets 96 - 98 all odd problems
2: Equations and Inequalities (10 hours) 2.1 Solving Equations by Adding and Subtracting 122, 123 all odd problems
124 83,85
2.2 Solving Equations by Multiplying and Dividing 133, 134 all odd problems
2.3 Combining the Rules to Solve Equations 149, 150 all odd problems
151 85, 87, 89
2.4 Literal Equations and Their Applications 164, 165 all odd problems
166 39, 41
2.5 Solving Linear Inequalities Using Addition 174, 175 all odd problems
2.6 Solving Linear Inequalities Using Multiplication 185, 186 all odd problems
187 45,47
2.7 Solving Absolute Value Equations 194 all odd problems
3: Graphs and Linear Equations (10 hours) 3.1 Solutions of Equations in Two Variables 220, 221 all odd problems
3.2 The Cartesian Coordinate System 229 - 232 all odd problems
3.3 The Graph of a Linear Equation 247 - 249 all odd problems
3.4 The Slope of a Line 265 - 267 all odd problems
268 65, 67, 69
3.5 Forms of Linear Equations 279 - 281 all odd problems
8: Systems of Linear Equations and Inequalities (4 hours) 8.2 Systems of Equations in Two Variables with Applications 680, 681 all odd problems
682 47,49
683 53,55,57
684 65
4: Polynomials (8 hours) 4.1 Positive Integer Exponents and Monomials 301, 302 all odd problems
4.3 An Introduction to Polynomials 321, 322 all odd problems
4.4 Polynomials: Addition and Subtraction 330, 331 all odd problems
4.5 Multiplying of Polynomials and Special Products 342 - 344 all odd problems
4.6 Division of Polynomials 354, 355 all odd problems
5: A Beginning Look at Functions (4 hours) 5.1 A Beginning Look at Functions 380, 381 all odd problems
382 33-55 odd
383 71,73
5.2 Tables and Graphs 397 - 402 all odd problems
6: Factoring Polynomials (10 hours) 6.1 An Introduction to Factoring 444,445 all odd problems
446 77,79
6.2 Factoring Special Polynomials 452, 453 all odd problems
6.3 Factoring Polynomials: The ac Method 463 - 465 all odd problems
6.3* Factoring Polynomials; Trial and Error 473, 474 all odd problems
6.4 Solving Quadratic Equations by Factoring 480 all odd problems
481 51-69 odd
6.5 A General Strategy for Factoring 499 all odd problems
10: Radicals and Exponents (4 hours) 10.2 Evaluating Radical Expressions (square roots only) 805, 806 1 - 11,23,25,43
Supplementary handout: (6 hours) Pythagorean Theorem     All problems in handout
Proportions     All problems in handout