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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