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Math 163 Pre-Calculus I Effective
Fall 2007 |
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I.
Introduction This course is designed to acquaint students with the
concepts of modern college algebra, matrices and analytic geometry. The students will gain a thorough understanding
of relations, functions and their graphs as well as other topics including:
inverse functions; applications of functions; polynomial, rational,
exponential, and logarithmic functions; systems of equations; and an
introduction to matrices. It will
provide students with the necessary background for a first course in applied
calculus (i.e., Math 270). The Math
163/164 series or Math 166 is a necessary prerequisite for engineering
calculus (i.e., Math 173). |
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II.
Prerequisites Math 04 or Math 158, a placement recommendation for
Math 163 and Algebra 1, Algebra 2, and Geometry, or equivalent. |
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III. Instructional Materials §
Textbook: Algebra & Trigonometry-Custom Edition, by Blitzer,
2007; ISBN 0536450692; Prentice Hall |
REQUIRED |
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§
graphing
calculator (consult your instructor) |
REQUIRED |
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§
MyMathLab ISBN 0131486918 |
OPTIONAL |
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§
Student’s Solutions Manual ISBN 0131880667 |
OPTIONAL |
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IV. Objectives 1.
Review the
basics of algebra and extend techniques 2.
Introduce the
graphing calculator 3.
Solve
equations that are linear, quadratic, higher order polynomial, exponential
and logarithmic. 4.
Solve linear,
quadratic and rational inequalities 5.
Graph
polynomial, radical, rational, exponential and logarithmic functions 6.
Use function
notation and understand composite and inverse functions. 7.
Use properties
of logarithms 8.
Solve systems
of equations by algebraic methods, matrices and determinants |
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V.
Material To Be Covered Unit I CH 1 §1.2 – §1.8 3 weeks Unit II §1.1, CH 2 ALL SECTIONS 3.5 weeks Unit III CH 3 (OMIT 3.6) 3 weeks Unit IV CH 4 ALL SECTIONS 2.5 weeks Unit V CH 8 (OMIT 8.3, 8.6) and §9.1 3 weeks |
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Math 163 Course Outline |
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Chapter 1: Equations and Inequalities 1.1
Linear Equations and Rational Equations 1.2
Models and Applications 1.3
Complex Numbers 1.4
Quadratic Equations 1.5
Other Types of Equations 1.6
Linear Inequalities and Absolute Value Inequalities 1.7
Polynomial and Rational Inequalities (Added From Essentials
of College Algebra 1e) |
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Chapter 2: Functions
and Graphs (from Essentials of College
Algebra 1e) 1.1
Graphs and Graphing Utilities 2.1
Lines and Slope 2.2
Distance and Midpoint Formulas; Circles 2.3
Basics of Functions 2.4
Graphs of Functions 2.5
Transformations of Functions 2.6
Combinations of Functions; Composite Functions 2.7
Inverse Functions 2.8
Quadratic Functions |
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Chapter 3: Polynomial and Rational Functions
3.1
Polynomial Functions and Their Graphs 3.2
Dividing Polynomials: Remainder and Factor Theorems 3.3
Zeros of Polynomial Functions 3.4
Rational Functions and Their Graphs 3.5
OMIT 3.6
Modeling Using Variation |
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Chapter 4: Exponential and Logarithmic
Functions 4.1
Exponential Functions 4.2
Logarithmic Functions 4.3
Properties of Logarithms 4.4
Exponential and Logarithmic Equations 4.5
Exponential Growth and Decay; Modeling Data |
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Chapter 8: Systems of Equations and
Inequalities 8.1
Systems of Linear Equations in Two Variables 8.2
Systems of Linear Equations in Three Variables 8.3
OMIT 8.4
Systems of Nonlinear Equations in Two Variables 8.5
Systems of Inequalities 8.6
OMIT 9.1
Matrix Solutions to Linear Systems |
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Suggested Weekly Schedule – 16 Week
Semester Week 1 1.2 – 1.4 Week 2 1.5 – 1.7 Week 3 1.8, Test I Week 4 1.1, 2.1-2.3 Week 5 2.3-2.5
Week 6 2.6, 2.7 Week 7 Test
II, 3.1 Week 8 3.2, 3.3 Week 9 3.4,
3.5 Week 10 3.7, Test III Week 11 4.1-4.3 Week 12
4.4, 4.5 Week 13 Test IV, 8.1, 8.2 Week 14 8.4, 8.5 Week 15 9.1, Test V Final Exam
to be given at the scheduled exam period |
Math 163 Suggested Homework Assignments
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Week
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Section
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Pg. |
Assignment
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1 |
§ 1.2 |
104 |
#3-13 odd,17,19,25-41odd,
47,49,61-67 odd, 73,75 (25x) |
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§ 1.3 |
118 |
#19,21,33,45,47,49,51,53,61-79
odd (18x) |
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§ 1.4 |
127 |
#1-43 odd, 47 (23x) |
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2 |
§ 1.5 |
144 |
#1-11 odd, 15-27 odd,
35-71 odd, 83-99 odd, 105,107 (43x) |
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§ 1.6 |
160 |
#1-27 odd, 31-37 odd,
41-51 odd, 61-77 odd (35x) |
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§ 1.7 |
175 |
#27-45 odd, 55, 61-83 odd
(24x) |
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3 |
§ 1.8 |
165 |
#1-19 odd, 29-43 odd, 63,
65 (20x) |
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TEST 1 |
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4 |
§ 1.1 |
91 |
#1-7 odd, 13-27 odd, 41-45
odd, 73-77 odd (18x) |
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§ 2.1 |
188 |
#1-13
odd,21,23,27-39,41,47,49,53,61-67,97 (26x) |
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§ 2.2 |
199 |
#3-9 odd, 19-25 odd, 31-37
odd,41-45 odd, 71 (16x) |
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5 |
§ 2.3 |
211 |
#1-23 odd,
27,31,35,39,45-53 odd, 57,61,65,71 (25x) |
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§ 2.4 |
231 |
#1-37 odd, 47,51, 55-71
odd, 73,75 (32x) |
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§ 2.5 |
245 |
#1-51 odd, 59-63 odd, 71,
73 (36x) |
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6 |
§ 2.6 |
257 |
#1,5,9,13,17-41 odd (17x) |
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§ 2.7 |
267 |
#3-9 odd, 13-19 odd, 31-39
odd, 45 (14x) |
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TEST 2 |
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7 |
§ 3.1 |
309 |
#1-8 all,
9,13,19,23,29,31,41,45,49,53,59,67,88,91 (22x) |
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8 |
§ 3.2 |
322 |
#1-31 odd,
33,37,39,41,47,55,57,59,79,85 (26x) |
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§ 3.3 |
335 |
#3,7,11,15,17,19,21,25,27,29,33,35,41,43
(14x) |
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9 |
§ 3.4 |
347 |
#1-23 odd, 27,29 (14x) |
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§ 3.5 |
366 |
#3,5,7, 21-35 odd,
51,55,63,71,75,91 (17x) |
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10 |
§ 3.7 |
388 |
#1-9 odd, 21,23,29,35 (9x) |
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TEST 3 |
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11 |
§ 4.1 |
408 |
#1,5,7,11,13,19-24 all,
25-31 odd (15x) |
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§ 4.2 |
421 |
#1-9 odd,13,17,21-29 odd,
37,39,41,43,45,59,61,65,67 |
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§ 4.3 |
431 |
#1-78 odd (39x) |
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12 |
§ 4.4 |
442 |
#1,5,9,13,21,43,45,49,53,57,61,65,67,69,71,73,79,81,87,90 |
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§ 4.5 |
455 |
#1-13 odd, 19,21,27,29
(11x) |
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13 |
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TEST 4 |
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§ 8.1 |
738 |
#1-13 odd, 17-27 odd,
31,35,39,53 (17x) |
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§ 8.2 |
748 |
#1-15 odd, 19,21,33 (11x) |
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14 |
§ 8.4 |
766 |
#1,3,5,7,9,19,21,23,25,29,33
(11x) |
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§ 8.5 |
777 |
#3-11 odd, 19,21,27,31,35,41,45
(12x) |
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15 |
§ 9.1 |
805 |
#1-35 odd (18x) |
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Review |
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16 |
Exam |
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FINAL EXAM |
Note: Section 1.8 and all of Chapter 2 are
inserted from another textbook; therefore there
are gaps in the page numbers at both the beginning and end of
these sections. Answers to
selected exercises for these sections are in
the back of the text behind those for Chapter 11.
Last Updated 1/8/2008
2:20 PM