King Fahd University of Petroleum
& Minerals
College of Sciences, Prep-Year
Math Program
S Y L L A B U S
MATH 002 (043)
|
Pre-Requisite |
MATH
001 |
|
Textbook |
College
Algebra with Trigonometry by Aufmann/Barker/Nation, 4th Edition,
Houghton Mifflin (2002) |
|
Objectives |
The students are expected to develop the comprehension
of the course material in English, improve their computational skills and
demonstrate writing ability of solutions with logical steps. An emphasis will
be given to the understanding of the statement of problem and the
mathematical terminology. The medium of instruction will be strictly English
from the first day of classes. The course primarily aims at the
development of critical thinking among the students through the mathematical
concepts studied at the High School level. Word problems will be an
important part of the course. MATH 001 will be regarded as a base of this
course. |
|
Week # |
Date |
Text Sections |
Topic |
Homework
Problems |
|
1 |
July 2
– 6 |
4.2 |
Exponential
Functions and Their Graph |
28,35,38,41,46,47,63,86 |
|
4.3 |
Logarithmic
Functions and Their Graphs |
4,18,26,40,46,59,74,78 |
||
|
4.4 |
Properties
of Logarithmic |
9,14,16,28,71,74,78,80 |
||
|
4.5 |
Exponential
& Logarithmic Equations |
8,19,21,30,32,33,46,77 |
||
|
2 |
July 9
– 13 |
5.1 |
Angles
and Arcs |
6,12,16,37,48,56,61,71 |
|
5.2 |
Trigonometric
Functions of Acute Angles |
2,18,21,34,41,59,70,74 |
||
|
5.3 |
Trigonometric
Functions of Any Angle |
4,12,16,23,30,32,45,62,68 |
||
|
3 |
July
16 – 20 |
5.4 |
Trigonometric
Functions of Real Numbers |
11,20,22,39,56,68,82,94 |
|
5.5 |
Graphs
of Sine and Cosine Functions |
6,15,23,39,47,54,56,60,64 |
||
|
5.6 |
Graph
of Other Trigonometric Functions |
2,16,20,31,35,46,50,52,57,68 |
||
|
5.7 |
Graphing
Techniques |
5,7,12,15,19,24,47,62,63 |
||
Major Exam I, Saturday, July 23, 2005 [4.2 – 5.7] |
||||
|
4 |
July
23 – 27 |
6.1 |
Verification
of Trigonometric Identities |
1,4,22,28,35,57,61,69 |
|
6.2 |
Sum,
Difference and Co-function Identities |
6,8,18,28,33,49,66,70,77 |
||
|
6.3 |
Double
and Half Angle Identities |
4,14,21,34,46,57,71,81,93 |
||
|
6.4* |
Only
Functions of the form f (x)= a sin x+ b cos x |
50,54,61,74,97,101 |
||
|
5 |
July
30 –Aug. 3 |
6.5 |
Inverse
Trigonometric Functions |
15,20,22,28,34,51,56,63,69,75 |
|
6.6 |
Trigonometric
Equations |
6,18,20,39,44,53,67,70,80 |
||
|
7.3 |
Vectors |
4,7,22,28,35,51,55,67,75,80 |
||
|
Major Exam II, Monday, August 8, 2005 [6.1 – 8.2] |
||||
|
6 |
Aug. 6
– 10 |
8.1 |
Parabolas |
2,12,21,27,31,33 |
|
8.2 |
Ellipses |
3,7,16,32,38,43,46,52,70 |
||
|
8.3 |
Hyperbolas |
5,12,23,39,46,49,66 |
||
|
9.1 |
Systems
of Linear Equations in Two Variables |
8,19,30,40,48,50,55,59 |
||
|
7 |
Aug.
13 – 17 |
9.3 |
Nonlinear
Systems of Equations |
2,7,24,30,47,50 |
|
10.1 |
Gaussian
Elimination Method |
2,5,14,18,24,28,51,53,54 |
||
|
10.2 |
The
Algebra of Matrices |
4,12,14,24,28,29,34 |
||
|
10.3 |
The
Inverse of a Matrix |
5,7,15,19,37,41,44 |
||
|
8 |
Aug.
20 - 21 |
10.4 |
Determinants |
6,12,13,24,28,30,36,39,45,49 |
|
August
22 |
Review |
Last
Day of Classes |
|
|
|
Evaluation Policy |
Exam 1
(MCQ ) 20 points (7:00
– 9:40 pm) |
Exam
II (MCQ ) 20 points (7:00
– 9:40 pm) |
Final
Exam (Comprehension & MCQ) 30 points |
|
Class
Work: (At
least 4 quizzes, one class test, CAL Activity, Home work, Class Attendance,
etc) 30 points |
|||
|
CAL |
The
syllabus of the weekly CAL Classes is on the back of this sheet. CAL
Questions may be asked in the Exams. |
||
|
General Information |
Attendance: A student will be awarded
the GRADE “DN” after missing SIX classes without an OFFICIAL excuse.
It is the responsibility of the student to keep the record of his
absences.
(1st warning: 2 absences;
2nd warning: 4 absences;
“DN”: 6 absences) |
|
Being
late in the Class:
Your instructor may mark you absent if you are not in time in the class. |
|
|
Homework: Students are required to
submit homework according to a plan suggested by their instructors. |
|
|
Office
Hours: The
course instructors will hold daily office hours. Students must confirm the
place and time
from their instructors. |
KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS
College of Sciences, Prep-Year Math Program
CAL Syllabus
MATH 002 (Term 043)
Textbook: College Algebra with Trigonometry by Aufmann/ Barker / Nation, 4th ed., Houghton Mifflin, (2002)
|
Sections in the Textbook |
Section Exercises (in Larson’s CD) |
Tutorial Exercises (In Larson’s CD) |
|
4.2
Exponential Functions and their Graphs |
5.1: 16,18,28,30 |
5.1: 4,5,8,9,10 |
|
4.3
Logarithmic Functions and their Graphs |
5.2: 6,18,20,50 |
5.2:
1,2,6,11 |
|
4.4 Properties of Logarithms |
5.3: 44,66,72,92 |
5.3: 3,5,8,10 |
|
4.5
Exponential and Logarithmic Equations |
5.4: 16,18,52,64 |
5.4: 6,10,12 |
|
5.1
Angles and Arcs |
6.1: 8,44,48,80 |
6.1: 1,6,15 |
|
5.2
Trigonometric Functions of Acute Angles 5.3
Trigonometric Functions of Any Angles |
6.2: 2,10,48,60 |
6.2: 1,5,7 |
|
5.4
Trigonometric Functions of Real Numbers |
6.3: 2,12,16,40,52 |
6.3: 2,5,8,9,12 |
|
5.5
Graphs of Sine and Cosine Functions |
6.4: 4,22,34,46,72 |
6.4: 2,5,7,9 |
|
5.6
Graphs of other Trigonometric Functions |
6.5: 6,12,20,34 |
6.5: 1,3,5 |
|
5.7
Graphing Techniques |
6.4: 12,52 6.5: 26,30 |
6.4:
5,7 6.5 2,4 |
|
6.1
Verification of Trigonometric Identities |
7.2: 10,18,24,28,36,44 |
7.1: 7,9,14,16 |
|
6.2
Sum, Difference and Cofunction Identites |
7.4: 2,22,26,38 |
7.4: 1,3,8,9 |
|
6.3
Double-and Half-Angle Identities |
7.5: 6,26,40, 44,54 |
7.5: 5,11,12 |
|
6.5
Inverse Trigonometric Functions |
6.6: 2,10,44,52,74 |
6.6: 2,4,5,9,12,13 |
|
6.6
Trigonometric Equations |
7.3: 32,38,40 7.5: 12,16,60 |
7.3: 3,5,6,9,10 7.5: 1,2 |
|
7.3
Vectors (Without Applications) |
8.3: 4,32,34,42,44,50 8.4 18,30 |
8.3:1,3,5,9,11,12,13 8.4: 2,7 |
|
8.1 Parabolas |
4.4:
10,24,28 4.5:
6,16,20 |
4.4:
1,4 4.5: 5,7 |
|
8.2
Ellipses |
4,4:
38,50 4.5: 34,42 |
4.4 :
6,8 4.5 9,11 |
|
8.3
Hyperbolas |
4.4: 72,82 4.5:
58,76 |
4.4:11,12 4.5: 2,14 |
|
9.1
Systems of Linear Equations in Two Variables |
9.1: 12,68 9.2: 16,32 |
9.1: 6,7 9.2:1,2,7 |
|
9.3
Nonlinear Systems of Equations |
9.1: 4,44 |
9.1: 8,10 |
|
10.1
Gaussian Elimination Method |
10.1: 8,16,28,52,70 |
10.1: 3,5,8 |
|
10.2
The Algebra of Matrices |
10.2: 4,18,28,36,44,50 |
10.2: 1,2,4,7 |
|
10.3
The Inverse of a Matrix |
10.3: 2,16,24,38 |
10.3: 1,2,6,8 |
|
10.4
Determinants |
10.4: 24,26,52,54,56,70 |
10.4: 1,4,7,10,13 |