New York City College of Technology
The City University of New York
DEPARTMENT:
Mathematics
COURSE:
MAT 1175/ MA 175
TITLE:
Fundamentals of Mathematics
TEXTS:
1)
Miller, O’Neill & Hyde
Intermediate Algebra.
nd
2 edition. McGraw-Hill
2) Africk, H. (1997).
Elementary College Geometry.
California: Brooks/Cole.
CREDITS:
4
Prepared by:
Prof. M.E. Rojas (Chair)
Prof. M. Harrow
Prof. P. Deraney
Prof. J. Liou-Mark
Prof. M. Bonanome
Fall 2008
A.
Testing Guidelines:
The following exams should be scheduled:
i. A one-hour exam at the end of the First Quarter
ii. A one-session exam at the end of the Second Quarter
iii. A one-hour exam at the end of the Third Quarter
iv. A one-session Final Examination
B.
A scientific calculator with trigonometric functions is required.
Texts: Miller, O’Neill & Hyde. Intermediate Algebra, 2nd edition. McGraw-Hill.
Africk, H. (1997). Elementary College Geometry. Thomson Learning
Note:
The problems in the algebra text followed by a (G) require some basic geometry (area, perimeter, circumference, Pythagorean theorem)
Text: Intermediate Algebra
1
1.8 Integer Exponents and Scientific Notation1 pp. 78-83
p. 84: 21-85 (every 4th), 87-107 (odd)
6.1 Rational Exponents2 pp. 436-439 (optional)
6.2 pp. 445-448 (optional)
p. 442: 21-73 (odd)
pp. 449: 5-89 (every 4th), 91,93,95
2
2.1 Graphing Linear Equations pp. 102-110
P. 112: 5-17, 21-27,35-41 (odd), 47,49
p. 124: 9-29,41-55 (odd)
2.2 Slope of a Line, Parallel and Perpendicular Lines pp. 118-124 (optional)
3
2.3 Slope-Intercept and Point-Slope Forms of Linear Equations pp. 129-136 (optional)
p. 136: 7-29, 33-43 (odd), 45-77 (every 4th)
p.211: 3-31 (odd)
3.1 Solving Systems of Linear Equations by Graphing pp. 206-210
p. 211: 3-31 (odd)
p. 220: 9-17 odd
4
5
6
7
3.2 Solving Systems of Equations by Using the Substitution Method pp. 215-225
3.3 Solving Systems of Equations by Using the Addition Method pp.221-225
3.4 Applications of Systems of Linear Equations in Two Variables (Optional) pp.
229-233
4.1 Addition and Subtraction of Polynomials and Polynomial Functions pp. 267-273
4.2 Multiplying Polynomials pp. 277-282
4.3 (1-2) Division of Polynomials pp. 287-291
4.4 (1-4) Greatest Common Factor and Factoring by Grouping pp. 298-302
p. 226: 5-13 odd, 33-37 odd
p. 234: (Optional) #7, 11, 13, 19, 25, 31(G), 45 (G)
p. 274: 15-23 odd, 33-37 odd, 43, 47-53 odd, 83 (optional),
87(optional), 91 (optional)
p. 284: 9-23 odd, 29, 43, 49, 51, 57, 97 (G), 99(G), 101 (G)
p. 295: 9-13 odd, 21, 27-30 all, 31-37 odd
p. 303: 11-25 odd, 33, 35, 47-53 odd, 73 (G), 74
8
4.5 Factoring Trinomial pp. 305 – 315
4.6 Factoring Binomials pp. 318 – 323
4.7 Additional Factoring Strategies pp. 326 – 329
p. 316: 13 – 29 odd, 35, 49, 57 – 63 odd, 71, 75, 77
p. 324: 11 – 21 odd, 53, 55, 65, 71
p. 330: 7 – 11 odd, 25, 27, 31, 35, 49
9
4.8 Solving Equations by Using the Zero Product Rule pp. 332 – 341
Rational Expressions and Rational Functions pp. 362 – 369
p. 342: 17 – 35 odd, 53, 55, 57, 61, 63
p. 370: 25 – 35 odd, 45 – 49 odd, 57, 59, 61, 63
10
First Examination
5.2 Multiplication and Division of Rational Expressions pp. 372 – 374
11
p. 375: 13 –19 odd, 23 – 29, 35, 39, 51, 53
p. 384: 15 – 21 odd, 33 – 49 odd, 75, 77
5.3 Addition and Subtraction of Rational Expressions pp. 377 – 383
p. 399: 9-40 (odd)
12
1.6 Linear Equations in One Variable pp. 37-42
5.5 Solving Rational Equations pp. 394-397
p. 46: 19-22, 45-52, 85-87
p. 65: 19-26 (odd) (G)
6.1 Definition of a Square Root pp. 434-440
6.3 Simplifying Radical Expressions pp. 453-456
p. 441: 3, 4, 8-15 (odd), 21a, c, e, 39, 52, 59-66 (odd), 75-78 (G)
p. 456: 9,10, 13, 14, 17-20 (odd), 23, 29-34 (odd), 37, 38, 41-46(odd), 49-52
(odd), 57-68 (odd), 73-76 (all ) (G)
6.4 Addition and Subtraction of Radicals pp. 459-461
p. 462: 11, 15, 16, 19, 22-24, 37-44 (odd), 47, 48, 54, 56, 77-80 (all)
(G)
p.469: 11, 14, 16, 17-25 (odd), 29-38 (odd), 55-60 (odd), 61, 63,
85-88 (all) (G)
13
14
6.5 Multiplication of Radicals pp. 464-469
15
16
6.6 Rationalizing Numerators and denominators of radical expressions pp. p472-479
p. 479 11-14 all, 19, 27,28,31,32,35-44all, 57,58, 63- 79 odd,
81-86all
p. 510 61,62,65,67
6.7 Radical Equations pp. 482-489
p. 489 11-14all, 23,24,37-42all, 72-74all
p. 510 70,71,78
17
7.1 Solving quadratics equations by the square root property and
the quadratic formula
pp.516-517
7.2 pp. 525-529
18
Midterm Examination
Geometry
19
1.1 Lines: pp. 1-6: Ex. A-D
1.2 Angles pp. 8-13: Ex. A-C
1.3 Angle Classifications: pp.17-24: Ex. A-F
Geometry
20
1.4 Parallel Lines: pp. 30-38: Ex. A-E
1.5 Triangles: pp. 46-54: Ex. A-F
Geometry
21
2.1 The Congruence Statement: pp. 67-70: Ex. A-C
2.2 The SAS Theorem: pp. 73-78: Ex. A-C
Geometry
22
2.3 The ASA and AAS Theorem: pp. 84-91: Ex. A-D
2.5 Isosceles Triangles: pp.103-109: Ex. A-D
2.6 The SSS Theorem: pp. 113-115: Ex. A, B
Geometry
23
3.1 Parallelograms: pp. 130-138: Ex. A-G
Geometry
24
4.1 Proportions: pp. 157-160: Ex. A, B
4.2 Similar Triangles: pp. 162-169: Ex. A-H
Geometry
25
4.4 Pythagorean Theorem: pp. 182-186: Ex. A-D
4.5 Special Right Triangles: pp. 197-203: Ex. A-D
p. 522 2-5 all,8-11 all
p.536 13,14,16,19-23all, 27, 45-48all, 68,71,74
TEXT: ELEMENTARY COLLEGE GEOMETRY
Page 7: 1-5 odd
Page 14: 1-27 odd
Page 26: 1-25 odd
TEXT: ELEMENTARY COLLEGE GEOMETRY
Page 42: 1-25 odd
Page 55: 1-25 odd
TEXT: ELEMENTARY COLLEGE GEOMETRY
Page 71: 1-9 odd
Page 81: 1-23 odd
TEXT: ELEMENTARY COLLEGE GEOMETRY
Page 93: 1-21 odd
Page 111: 1-13 odd
Page 118: 1-7 odd
TEXT: ELEMENTARY COLLEGE GEOMETRY
Page 139: 1-17 odd
TEXT: ELEMENTARY COLLEGE GEOMETRY
Page 161: 1-11 odd
Page 173: 1-21 odd
TEXT: ELEMENTARY COLLEGE GEOMETRY
Page 192: 1-15 odd
Page 207: 1-19 odd
Texts: Miller, O’Neill & Hyde. Intermediate Algebra, 2nd edition. McGraw-Hill.
Africk, H. (1997). Elementary College Geometry. Thomson Learning
26
27
28
Third Examination
Geometry
TEXT: ELEMENTARY COLLEGE GEOMETRY
5.1 The Trigonometric Functions: pp. 215-222: Ex. A-G
5.2 Solution of Right Triangles: pp. 225-230: Ex. A-G
Page 223: 1-19 odd
Page 234: 11-41odd
Page 242: 1-5 odd
Geometry
TEXT: ELEMENTARY COLLEGE GEOMETRY
6.1
6.2
6.3
7.5
7.6
The Area of a Rectangle and Square: pp. 244-247: Ex. A-D
The Area of a Parallelogram: pp. 253-257: Ex. A-E
The Area of a Triangle: pp. 260-264: Ex. A-D
Circumference of a Circle: pp. 331-335: Ex. A, D
Area of a Circle: pp. 342: Ex. A
29
Review for Final
30
Final Examination
Page 249: 1-17 odd
Page 258: 1-13 odd
Page 265: 1-23 odd
Page 339: 1-5 odd, 19-23 odd
Page 348: 1-9 odd