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Preparatory Mathematics for Engineers

Precalculus : Concepts Through Functions, A Unit Circle Approach to Trigonometry, 1/e, by Michael Sullivan and Michael Sullivan III.

Course Objectives: This course is designed to help the student:
•Establish a clear understanding of numbers and their properties .
•Use graphical and algebraic methods to solve linear equations and inequalities.
•Develop the basic concepts of functions and carry out basic algebraic operations .
•Establish a clear understanding of different type of functions such as polynomials, rational, exponential, logarithmic, and trigonometric functions .
•Solve logarithmic and exponential equations.
•Explore some trigonometric identities by using the concepts of right triangle.

Course Outcomes: This course requires the student to demonstrate the following:
1. Develop the basic properties of real and complex numbers.
2. Solve linear equations and inequalities and be able to sketch the solution set .
3. Define the basic concepts of functions including and the concepts of domain and range.
4. Perform basic operations on functions and conclude new domains.
5. Perform basic tests on functions such as one-to-ones.
6. Fins the inverse of a function, if exists.
7. Make a basic sketch of polynomial and rational functions.
8. Solve logarithmic and exponential functions and examine the relationship between exponential and logarithmic expressions .
9. Sketch the graph of basic logarithmic and exponential functions.
10. Define some basic trigonometric identities.
11. Establish knowledge of the basic trig identities that are driven from the right triangle.
12. Sketch some trigonometric functions and identify the domain, periods, and amplitudes.
13. Develop skills to work out application problems.

Topics Covered
Algebraic and fractional expressions-Equations and inequalities and some applications.
Functions - definition, graphs, and properties.
Linear Functions and applications
Quadratic Functions and Applications
Polynomial and Rational Functions
Exponential and Logarithmic Functions
Trigonometric Functions
Introduction to Limits- numerical, graphical and algebraic approach

Tentative Exam Schedule

  Date and Time Percentage
Exam 1 TBA 20%
Exam 2 TBA 20%
Exam 3 TBA 20%
Quizzes and Homework TBA 10%
Final Exam TBA 30%

Attendance Policy:
Attendance is a vital part of the course work. It is the university policy that if a student is absent 15% of the class sessions (which, in our case, translates into 6 hours), he/she will be withdrawn from the course with a grade of WF.
Late attendance: Not only you are expected to be in class, but you are also expected to be there on time. Three (3) late attendances will count as one absence. Late is defined as follows: showing up to class after I have finished calling the class roster, and within the first 10 minutes of the lecture. Showing up more than 10 minutes late to the lecture counts as an absence.
Academic Integrity:
You are encouraged to work in groups, discuss ideas and compare answers with other students. However, you are not allowed to work together to the extent that submitted work is indistinguishable from copied work. Your submitted work is a personal work, expressed in your own words, with your own numerical computations and algebraic steps . Copying, cheating or plagiarism, if detected will result in a WF grade in the course for all who are involved. In addition, those involved may be reported to the administration for disciplinary action.

Course Syllabus and Weekly Schedule

Hour Material Sections
1 Line in the plane and solving linear equations F3
2 Functions 1.1
3 Graphs of Functions 1.2
4 Properties of Functions 1.3
5 Library of Functions; Piecewise-defined Functions 1.4
6 Graphing Techniques: Transformations 1.5
7 Properties of Linear Functions 2.1
8 Exam 1  
9 Quadratic Functions and Their Zeros 2.3
10 Properties of Quadratic Functions 2.4
11 Inequalities Involving Quadratic Functions 2.5
12 Complex Zeros of a Quadratic Function 2.7
13 Equations and Inequalities Involving the Absolute Value Function 2.8
14 Polynomial Functions and Models 3.1
15 Properties of Rational Functions 3.2
16 The Graph of a Rational Function; Inverse and Joint Variation 3.3
17 Polynomial and Rational Inequalities 3.4
18 Exam 2  
19 The Real Zeros of a Polynomial Function 3.5
20 Complex Zeros ; Fundamental Theorem of Algebra 3.6
21 Composite Functions 4.1
22 One-to-One Functions; Inverse Functions 4.2
23 Exponential Functions 4.3
24 Logarithmic Functions 4.4
25 Properties of Logarithms 4.5
26 Logarithmic and Exponential Equations 4.6
27 Angles and Their Measure  
28 Trigonometric Functions: Unit Circle Approach 5.2
29 Properties of the Trigonometric Functions 5.3
30 Graphs of the Sine and Cosine Functions 5.4
31 Phase Shift; Sinusoidal Curve Fitting 5.6
32 32 Trigonometric Identities 6.3&6.4
33 Exam 3  
36 Trigonometric Equations (I) 6.7
37 Finding Limits Using Tables and Graphs 13.1
38 Algebra Techniques for Finding Limits 13.2
39 Algebra Techniques for Finding Limits 13.2
40-45 Review  

Mujo Mesanovic
Schedule for Fall 2008
Phone # 515-2995

Day Time Sunday Monday Tuesday Wednesday Thursday
09:00   STA 202 NAB 013   STA 202 NAB 113  
11:00 MTH 003 PHY 114 OFFICE HOUR MTH 003 PHY 114 OFFICE HOUR MTH 003 PHY 114
12:00 MTH 001 PHY 103   MTH 001 PHY 103   MTH 001 PHY 103
14:00 MTH 001 NAB 010   MTH 001 NAB 010   MTH 001 NAB 010
15:00 OFFICE

Other office hours are available by appointment.

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