**MAC 1105 College Algebra ** Miami Norland Senior High School (rukim@fiu.edu).

*SPRING 2011*
**Description:** The focus of this course is on functions and
their properties. In particular, properties and graphs of linear,
quadratic, polynomial, rational, exponential and logarithmic
functions are discussed. Ways of solving systems of equations are
introduced at the end of the semester.

Prerequisite: A C or better in Intermediate Algebra (MAT
1033) or adequate placement test score.

Text: Algebra and Trigonometry, Custom Edition for FIU (or 8th
edition) by Michael Sullivan.

Instructor: PHILIPPE RUKIMBIRA

Office hours and phone: DM 436A, TuTh 1000-1100, Ph: 305-348 2224

Material to be covered:
R1:

Real Numbers
Set Notation
Subsets of Real Numbers
Properties of Real Numbers: Associative, Distributive Laws
Zero Product Principle
Arithmetic of Quotients.
R2: The real number line, Inequalities, Distances, Evaluating
algebraic
expression, Evaluating square roots,
Scientific notation.
R3:Pythagorean theorem, Area, Volume, Triangles (Congruent
triangles: same set of angles and sides; Similar triangles: same set of
angles, proportional sides)
R4: Polynomials, Special formulas (page 43), Cubing a binomial, The
sum of two cubes, The difference of two cubes (page 44), Division of
polynomials (page 44), Polynomials in two variables.
R5: Factoring polynomials, Factoring a second degree polynomial (page
52), Identifying prime polynomials, Factor by grouping, Factoring
Ax^2+BX+C.
1. Find a and b, such that ab=AC and a+b=B
2. Write Ax^2+aX+bX+C
3. Factor by grouping
Example: 2X^2+5X+3, a=2, b=3,
2X^2+2X+3X+3=2X(x+1)+3(x+1)=(2x+3)(x+1)
R6: Synthetic division (Division by (X-a))
Example: Divide 2X^3-X^2+3 by (x-3)
3] 2 -1 0 3
. . . .6 15 45
. . 2 5 15 48
2X^2+5X+15 +48/(x-3)

Chapters 1 and 5.4
Chapter 2, sections 2.1-2.4.
Chapter 3,
Chapter 4, section 4.3-4.5
Chapter 5, sections 5.1-5.3.
Chapter 6
Chapter 12, sections 12.1-12.6

**Tests and quizzes:**

There will be one midterm examination, worth 150 points each. The date is
April 7, 2011.
Final: A mandatory final exam will carry 150 points. The
date is May 20, 2011.
Quizzes: Four (4) quizzes; Dates (may be changed as
needed): . Each is worth 25
points. March 10, March 31, April 21 and May 6.

**Grades:** Grades will be assigned on the basis of 400 points.

Midterm: 150
Final: 150
Quizzes: 100

**Grade-Score:**

A---------------------------------360-400--(90%)

A_--------------------------------340-360--(85%)

B+--------------------------------320-340--(80%)

B---------------------------------260-320--(65%)

B_--------------------------------240-260--(60%)

C+--------------------------------220-240--(55%)

C---------------------------------160-220--(40%)

C_--------------------------------140-160--(35%)

D---------------------------------060-140--(15%)

F---------------------------------000-060--(00%)

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