CSET MATH (4 unit)

Spring 2012

Room, and time: EE 1221, MW 4:30 p.m.-6:15 p.m.

Instructor: Serban Raianu
Office:NSM A123
Office hours: Monday, Wednesday: 2:30 p.m.-4:00 p.m., Friday: 1:00 p.m.-2:00 p.m., or by appointment.
Phone: (310) 243-3139
Email: sraianu@csudh.edu

Course Description

Concepts, procedures, and proofs necessary to pass CSET I & II will be presented in this course.

MAT 495 meets for Four hours of lecture per week for sixteen weeks.

Required Text

CSET I & II provided in class.

Method of Evaluating Outcomes

Grading Policy:

25% of grade =	Class participation
25% of grade =	Quizzes
25% of grade =	Midterms I (CSET I)
25% of grade =	Midterms II (CSET II)

Exams

Midterms are designed to prepare students for the CSET exams.

Midterm dates are listed on the calendar at the end of this syllabus.

Class Participation

Attendance: Students are expected to attend every scheduled class. It is the student’s responsibility to initial the attendance roster at every meeting and to keep informed of any announcements, syllabus adjustments, or policy changes. Students who miss the first week of classes will be dropped. Points will be deducted for arriving late or leaving early.

Behavior: The most important rule for this class is RESPECT THE RIGHTS OF YOUR FELLOW STUDENTS. Therefore, no disruptive behavior will be permitted during class time; this includes but is not limited to coming to class late, leaving early, use of cell phones or other communication devices (such as the ringing of phones or alarms) and listening to music. All cell phones, IPODs, and other communication devices must be turned off and remain out of sight.

Participation: Student participation is expected such as contributing to group and class discussions.

Academic Integrity

The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

Accommodations for Students with Disabilities

Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.

Creating Conditions for Successful Learning

Research shows success in math class depends very much on two factors: the amount of time spent working on the material, and the student’s beliefs about mathematics and what it means to understand and do mathematics. With this in mind, here are some suggestions:

• Be in class, every class, and be on time.
• Be prepared to participate in group work and discussions every day so that class time is not wasted, and
• Spend at least 1 hour every day, not including class time, working on homework assignments, and studying.
• Realize that mathematics is not just a set of procedures, and that mathematical concepts involve a lot of thinking and reasoning. Consequently, being able to execute procedures accurately is only one part of doing well in this class.
• Realize that success in mathematics is less about “ability” and more about willingness to think and to work hard to make sense of things.

In addition, you need to have:

• your assignments with you and ready to turn in on the day they are due
• the phone numbers and emails of at least 2 classmates (preferably “study buddies”) who will work with you in partnership to collect any handouts and inform you of important information should you miss a class.

Classroom Norms

As we will spend a lot of time working in partnerships, in groups, and in class discussions, here are some rules to help you navigate what may be an unfamiliar experience in a math class.

• Never call out an answer until the person leading the classroom has given permission. Raise your hand.
• This is a safe environment. That means that you should feel free to ask a question or offer an opinion or an answer, and no one will make fun of you for what you say.
• If you are working with classmates, work with them. Do not wait and hope that others will do your work for you, and do not move on to other assignments while your classmates are struggling to understand the current one.
• Be considerate of others. In addition to the ways to be considerate listed above, do not dominate group or class discussions. Remember that everyone needs an opportunity to share his/her ideas.
• Do not expect me to validate your answers or those of anyone else.  You are responsible for making sense of answers and solution methods, and you should always look for ways to verify your work.
• Cell phones should be off or set to “vibrate.” Do not place a call during class, and do not answer a phone call without first leaving the room.

These rules are meant to benefit the entire class, and to ensure that everyone has the opportunity to contribute and to learn.

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Classmate Information:

Name: ______________________ email: _________________________

Name: ______________________ email: _________________________

CLASS – Free tutorial services to all CSUDH students

CLASS has free tutoring available; drop by their offices for information on how to take advantage of their free services. Also, CLASS will be offering a variety of workshops to help students enrich and improve their various academic skills. All CLASS workshops are free and participation is easy. Students may stop by the noted locations at the scheduled starting times. Below are two of the prescheduled workshops that could be of benefit, there are more workshops scheduled as the semester progresses. If you have questions, please stop by the CLASS office.

Location & Phone Number

SCC Building 11, Phone: 310-243-3827

Week 1 2012-01-17

Tuesday

Introductions

Blackboard Orientation

Note taking

Cornell Notes

Flash Cards

Domain 3 Number Theory

Factors

Disvisibility 2,3,4,…,11

Division algorithm

Primes

Prime factorization

Fundamental Theorem of Arithmetic

Euclidean Algorithm

Least Common Multiple (LCM)

Greatest Common Factor (GCF)

Homework 1

1-22: 1-4

Wednesday

Domain 3 Number Theory

Least Common Multiple (LCM) Algebraic Expressions

Greatest Common Factor (GCF) Algebraic Expressions

Proofs

Homework 2

1-22: 1-4

Week 2 2012-01-23

Monday

MDTP MR TEST

Domain 3 Number Theory

Mathematical Induction

Proofs

Fundamental Thm of Arithmetic

Wednesday

Domain 1.1 Abstract Algebra

Quadratics

Factoring

Special factoring patterns

Completing the square

Week 3 2012-01-30

Monday

Domain 1.1 Abstract Algebra

Abstract Algebra

Quadratics

Quadratic formula

Quadratic formula Proof

Properties

Closure

Trichotomy

Addition

Multiplication

Associative

Commutative

Identities

Additive

Multiplicative

Inverses

Distributive

Transitive

Complex Numbers

Wednesday

Week 4 2012-02-06

Monday

Domain 1.2 Polynomials

Polynomials

Completing the square

Division Algorithm

Factor Theorem

Rational Roots Theorem

Fundamental Theorem of Algebra

Complex Conjugate Roots Theorem

Division of Polynomials

Factoring Polynomials

Finding Zeros

Wednesday

Domain 1.2 Polynomials

Polynomials

Finding Zeros

Week 5 2012-02-13

Monday

Domain 1.2 Polynomials

Linear Programming

Graphing linear inequalities

Solving linear inqualities

Real life problems

Wednesday

Domain 1.3 Functions

Functions Part 1

Definition

Notation

Domain

Functions Part 2

Operations with functions

Compositions of functions

Functions Part 3

Inverse Functions

One-to-one

Defintion

Finding inverse functions

Week 6 2012-02-20

Monday

Domain 1.3 Functions

Functions Part 4

Exponential Functions

Definition

Graphing

Population growth

Radioactive Decay

Compound Interest

Continuously compounded interest

Functions Part 5

Logarithmic Functions

Definition

Graphing

Wednesday

Domain 1.3 Functions

Functions Part 6

Inverses of log and exp

Graphs

Properties

Functions Part 7

Logarithm and Exponential Equations

Solving Log equations

Solving Exp equations

Week 7 2012-02-27

Monday

Domain 1.4 Linear Algebra

Matrices

Definition

Arithmetic with matrices

Determinants

Matrix Inverse

Systems of equations part 1

Matrices and Vectors

Definition

Dot and Cross product

Gauss-Jordan Elimination

Wednesday

Domain 1.1

Abstract Algebra

Commutativity and Matrices

Rings

Fields

Week 8 2012-03-05

Monday CONTENT REVIEW

Wednesday CONTENT REVIEW

Week 9 2012-03-12

Monday

2.1 Parallelism

The Parallel Postulate

Non-Euclidean geometries

Wednesday

Notes and Problems on 2.1

Week 10 2012-03-19

Monday

2.2 Plane Euclidean Geometry

Similarity and Congruence

Coordinate Geometry

Wednesday

Notes and Problems

SRING BREAK 2012-03-26

Week 11 2012-04-02

Monday

Properties of Triangles

Properties of Polygons and Circles

Wednesday

Notes and Problems

Week 12 2012-04-09

Monday

Classical Constructions

More Coordinate Geometry

Wednesday

Notes and Problems

Week 13 2012-04-16

Monday

2.3 and 2.4 Three Dimensional & Transformational Geometry

Three Dimensional Geometry

Transformational Geometry

Wednesday

Notes and Problems

Week 14 2012-04-23

Monday

4.1 Probability

Basic Principles

Finite Probability

Conditional Probability

Normal, Binomial, and Exponential Distribution

Wednesday

Notes and Problems on 4.1

Week 15 2012-04-30

Monday

4.2 Statistics

Mean, Median, and Mode

Quartiles, Range, Variance, and Standard Deviation

Sampling Methods

Least Squares and Regression

Chi-squared Test

Wednesday

Notes and Problems on 4.2