BRONX COMMUNITY COLLEGE * CITY UNIVERSITY OF NEW YORK

DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE

SYLLABUS: MTH 05 Basic Concepts of Mathematics I (0 credits, 6 hours)

TEXT: Elementary and Intermediate Algebra: A Unified Approach, 3^rd Ed., Baratto, Bergman

The Arithmetic of Signed Numbers (6 hours)

0.1 Review of fractions p.9/ 15,31,37,45,49,57,69,73,77,79,81,91

0.2 Integers p.20/ 41,43,47

0.3 Adding and Subtracting Signed Numbers p.32/ 3,13,25,29,41,45,61,63,71,75

0.4 Multiplying and Dividing Signed Numbers p.48/ 5,7,23,27,35,49,51,57,61,65,67,69,73

Evaluating Algebraic Expressions (6 hours)

0.5 Order of operations p.60/ 17,19,21,37,43,51,59,65,71

1.2 Evaluating algebraic expressions p.95/ 5,15,21,25,29,43,49,51,61,67,69

Linear Equations (12 hours)

1.1 Translating algebraic expressions p.81/ 13,17,25,35,43,49,79

1.3 Combining like terms p.110/ 11,20,41,55,57,63,65,73,79

2.1 Solving linear equations: Addition property p.149/ 5,15,33,35,41,43,53,67,69,81,87

2.2 Solving linear equations: Multiplication property p.164/ 7,19,31,37,39,47,49,53,57,63

2.3 Combining rules p.181/ 3,11,31,37,41,43,47,51,63,79,81,83

2.4 Literal equations p.198/ 3,9,13,21,33,37,41,45,46,47,61

2.5 Solving linear inequalities (I) p.211/ 31,39

2.6 Solving linear inequalities (II) p.224/ 7,21,29,31

Graphing Linear Equations (10 hours)

3.1 Linear equations in two variables p.268/ 3,11,21,23,27,29,31

3.2 The Cartesian coordinate system p.280/ 1-5,11,13,39,41

3.3 The graph of a linear equation p.303/ 1,5,13,15,21,23,31,35,45

3.4 Slope p.328/ 1,5,11,19,25,31,33,37

3.5 Point-slope form of a line p.347/ 1,5,7,9,13,15,23,35,39,51

3.6 Graphing linear inequalities p.360/ 5,7,9,13,19

Systems of Linear Equations (2 hours)

8.2 Systems of equations in two variables (addition/elimination) p.817/ 1,3,5,9,27,31,49,51

Operations with polynomials (8 hours)

4.1 Positive integer exponents p.388/ 1,3,17,21,49,55,63

4.2 Zero and negative integer exponents [Optional] p.404/ 1,5,7,25,31,35,57,77,81,99,103

4.3 Definition of polynomials p.416/ 11,25,31,35

4.4 Addition and subtraction of polynomials p.426/ 7,13,17,21,25,31,37,57

4.5 Multiplying polynomials p.441/ 13,23,27,43,45,51,63,71,83

4.6 Division by monomials [Not by binomials] p.455/ 1-11odd

Factoring polynomials (10 hours)

5.1 Introduction to factoring p.476/ 1,11,21,27,35,47,63,65

5.2 Difference of squares [No sums or differences of cubes] p.488/ 13,27,37,41

5.4 Quadratic trinomials p.513/ 21 – 71 odd

5.6 Solving equations by factoring p.531/ 1,5,11,17,41,53

5.7 Some word problems involving quadratic equations p.542/ 1,9,11,15,19,21

Radical expressions and complex numbers (8 hours)

10.1 Introduction to roots and radicals p.943/ 1,3,5,7,15,37,39,43,51

10.2 Simplifying radical expressions [No variables] p.957/ 3-19 odd, 43,47,55,57,61,63

10.3 Operations with radical expressions [No rationalizing binomials] p.972/ 3,11,15,39,45,55,67

10.6 Complex numbers [ notation only, no operations] p.1009/ 1-9odd

Quadratic equations and some conics (10 hours)

11.1 Special methods, completing the square p.1033/ 3,9,15,33,37,43,51

11.2 The quadratic formula p.1049/ 5,11,21,25,33,51,57,63,69

11.3 Parabolas [Graph by table] p.1070/ 17-22all

AM/Summer 2009