Instructor: Eloy Rodriguez

Phone: (831) 755 6913

Syllabus Page: http://www.hartnell.cc.ca.us/faculty/erodrigu/syllabus.html

Course Description: A study of first degree relations and functions, graphing techniques, systems of equations and inequalities, matrices, determinants, translation of axes, parametric equations, Binomial Theorem, and Mathematical Induction. This course is designed to prepare students for Math A.

Contents: The contents of this course will come almost entirely from our text. The following is a general topic list. Linear equations and inequalities, Exponents and polynomials, Rational expressions, quadratic equations and inequalities, relations, functions, and graphs. Conic sections, systems of equations and inequalities, exponential, and logarithmic functions, mathematical induction, summation notation, and binomial theorem. In addition, this course will make heavy use of graphing calculators. Indeed, calculators are required.

1. Fundamental Concepts

1. Real numbers and algebraic expressions.
2. Inequalities
3. Coordinate systems in two dimensions.
4. Lines

1. Functions

1. Definition of function.
2. Graphs of functions.
3. Quadratic functions.
4. Operations on functions.
5. Inverse functions.

1. Polynomial and Rational Functions

1. Graphs of polynomial functions of degree greater than two.
2. Division of polynomials and synthetic division.
3. Complex numbers.
4. The zero of a polynomial.
5. Complex and rational zeros of polynomials.
6. Rational Functions.

1. Exponential and Logarithmic Functions

1. Exponential functions.
2. The Natural Exponential function.
3. Logarithmic functions.
4. Graphs of logarithmic functions.
5. Common and Natural Logarithms.
6. Exponential and logarithmic equations.

1. Systems of Equations and Inequalities

1. Systems of equations.
2. Systems of linear equations in two or more variables.
3. Matrix solutions to systems of linear equations.
4. Partial fractions.
5. The algebra of matrices.
6. Determinants.
7. Properties of Determinants.
8. Cramer’s Rule.
9. Systems of inequalities.
10. Linear Programming.

1. Mathematical Induction and Binomial Theorem

1. Mathematical Induction.
2. The Binomial Theorem.
3. Summation notation.

G. Topics in Analytic Geometry

1. Conic Sections (Circles, Parabolas, Ellipses, Hyperbolas)
2. Translation of axes.
3. Plane curves and parametric equations.

1. To study algebra and analytic geometry through elementary theory of equations.
2. To prepare for calculus and science courses.

math classes 121, 123, 13 and 25

1999/2000

A = 90% TO 100%

B = 80% TO 89.99%

C = 70% TO 79.99%

D = 60% TO 69.99%

1. Miss first day of class and the student is automatically dropped.

2. More than four days absent will result in a letter grade reduction.

[Consecutively or not.]

3. More than eight days absent will result in the student being dropped.

[Consecutively or not.]

4. It is the student's responsibility to drop the course. A ‘W’ or ‘F’ is

assigned by the College depending on the date that the course is dropped.

Weighted Average.

Homework = 25% of the total grade.

Quizzes/Projects = 25% of the total grade.

Midterm = 25% of the total grade.

Final = 25% of the total grade.

Note.

No late homework or Quizzes will be accepted. My pet peeve is when a private conversation is being held while I am lecturing. My favorite student behavior, is when they ask me questions. [Bonus] You are permitted to cooperate with other classmates for any homeworkor take home quizzes or projects.

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