- Course Number:
- CMET 112
- Course Title:
- Technical Algebra/Trigonometry
- Credit Hours:
- 4
- Lecture Hours:
- 10
- Lecture/Lab Hours:
- 20
- Lab Hours:
- 60
- Special Fee:
- $30.00

#### Course Description

Includes algebra and trigonometry used in CMET 110 and 111, emphasizing simultaneous linear equations, quadratic equations and applied problems. Department approval required. Prerequisites: MTH 60 and placement in WR 115. Audit available.#### Intended Outcomes for the course

Upon successful completion of this course, the student will have satisfactorily accomplished the goals and objectives listed in this course content guide. The course content guides are developed by college-wide area faculty and are approved by management.

1.0 ARITHMETIC REVIEW

Instructional Goal:

To review the fundamental operations of arithmetic.

Objectives:

1.1.0 Solve integer problems in addition, subtraction, multiplication and division using:

a. a number line

b. conventional notation

1.1.1 Solve addition, subtraction, multiplication and division problems using:

a. common fractions, including reducing to lowest terms

b. decimal fractions

1.1.2 Solve addition, subtraction, multiplication and division problems involving a combination of integers, common fractions and decimal fractions.

1.1.3 Use the principle of order of operations solve problems involving addition, subtraction, multiplication, division and parentheses.

1.1.4 Define and illustrate the use of:

a. factors

b. absolute values

c. reciprocals

2.0 ELEMENTARY ALGEBRA REVIEW

Instructional Goal:

To review elementary algebra.

Objectives:

2.1.0 As they relate to algebra define and illustrate the use of:

a. Coefficients

b. variables

c. Grouping symbols

d. the distributive property

2.1.1 Evaluate formulas by correctly substituting appropriate values and performing the indicated operations.

2.1.2 Transform and solve linear equations of the form Ax + B = 0.

3.0 ADVANCED ALGEBRA

Instructional Goal:

To learn the principles of algebra and their technical applications.

Objectives:

3.1.0 Solve linear equations in more than one unknown by the following methods:

a. graphically

b. substitution

c. determinants

3.1.1 Add, subtract, multiply and divide:

a. monomials

b. polynomials

3.1.2 Identify and factor polynomials which are:

a. the perfect square of a binomial

b. the product of binomials of the form (Ax + By) and (Ax - By)

c. factorable by completing the square

d. the cube of a binomial

3.1.3 Solve equations requiring the addition, subtraction, multiplication and division of fractions containing one or more terms with one or more variables.

3.1.4 Perform the following operations on terms with exponential notations:

a. express exponential terms as radicals

b. express radicals as exponents

c. add, subtract, multiply and divide

3.1.5 Solve quadratic equations by:

a. completing the square

b. using the quadratic formula

3.1.6 Graph linear, quadratic, 3rd and 4th degree fractions, identify the x & y intercepts, maximum and minimum points, and any points of intersection.

3.1.7 Identify the domain and range of various functions. Use functional notation in relating the independent and dependent variables for graphing and/or evaluating fractions symbolically.

#### Course Activities and Design

A brief review of selected topics in arithmetic and elementary algebra will be followed by intensive treatment of more advanced topics in algebra. The class activities will include lectures (questions are invited), students problem solving at the chalkboards and frequent tests. Homework is assigned and required.

Grades will be based on tests, homework, class participation and on other student performances as detailed by the instructor during the first week of class.

**Evaluation: At the discretion of the instructor based upon homework, test scores, and final examination.**