School

Science, Technology, Engineering & Math

Department

Mathematics

Academic Level

Undergraduate

Course Subject

Mathematics

Course Number

103

Course Title

Technical Mathematics

Credit Hours

4.00

Instructor Contact Hours Per Semester

62.00 (for 15-week classes)

Student Contact Hours Per Semester

62.00 (for 15-week classes)

Grading Method

A-E

Pre-requisites

MATH-100 with a C grade or better OR a satisfactory score on the placement test

Catalog Course Description

For students in technology programs who have had MATH 100 or one year of Beginning Algebra. Covers functions and graphs, properties of lines, the trigonometric functions, systems of linear equations, rational expressions, quadratic equations, solution of right triangles, vectors, integer exponents, linear regression, complex numbers, and an introduction to the graphing calculator. Requires a graphing calculator with the TI-84 Plus series recommended.

### Goals, Topics, and Objectives

Goal Statement

- To introduce trigonometry and develop proficiency in algebraic and trigonometric computations for problem solving in technical areas.
- To develop additional mathematical background for more advanced courses that require mathematical competency.
- To develop skills in the use of a graphing calculator.

Core Course Topics

Upon successful completion of this course, students should be able to:

- Measurement
- Define the rules for significant digits.
- Define the accuracy and precision of measurement.
- Define approximate versus exact numbers.
- Perform basic arithmetic operations with measurements.

- Exponents and Radicals
- State the laws of exponents.
- Simplify algebraic expressions using the laws of exponents.
- Simplify square roots and cube roots.

- Linear Equations, Formulas, and Variation
- Solve linear equations algebraically.
- Solve formulas for the specified variable.
- Solve problems involving direct variation, inverse variation, and joint variation.

- Right Triangle Trigonometry
- Determine the values of the six trigonometric functions of any angle in degrees.
- Solve right triangles and solve applications of the right triangle.

- Equations and Their Graphs
- Define relations and functions.
- Determine the domain and range of relations and functions.
- Evaluate functions.
- Graph equations.
- Determine the slope of a line.
- Determine the equation of a line satisfying given conditions including parallel and perpendicular lines.
- Find the distance between two points and find the mid-point of a line segment.

- Trigonometric Functions
- Define angles in standard position and draw positive and negative angles in standard position.
- State the definitions of the six trigonometric functions associated with an angle in standard position.
- State the signs of the trigonometric functions of nonquadrantal angles and the values of the trigonometric functions of quadrantal angles.
- Define the reference angle of any nonquadrantal angle in standard position.
- Determine angles, using a graphing calculator, when the value of the trigonometric function is given.

- Vectors
- Add vectors geometrically.
- Resolve a vector into components.
- Perform vector addition by components.
- Solve vector application problems.

- Factoring and Algebraic Fractions
- Express polynomials in completely factored form.
- Reduce algebraic fractions to lowest terms.
- Multiply, divide, add, and subtract algebraic fractions.
- Simplify complex fractions.

- Systems of Linear Equations
- Solve a linear system of two equations in two variables, graphically and algebraically.
- Solve application problems using a system of two linear equations.

- Quadratic Equations
- Solve quadratic equations by factoring (whenever possible), using the square roots (whenever possible), and using the quadratic formula.
- Solve applications involving quadratic equations.

- Complex Numbers
- Perform basic operations of addition, subtraction, multiplication, and division on complex numbers.

- Regression Line or the Line of Best Fit
- Use a graphing calculator to find the equation of the regression line or the line of best fit for a table of data.

### Assessment and Requirements

Assessment of Academic Achievement

- A comprehensive final examination, weighted in the manner that it is worth at least fifteen percent (15%) of the final course grade, is required for all sections.
- Additional assessment of student achievement may include assignments, quizzes, and exams.
- Application problems must not only be included on chapter exams but also on the final exam.

General Course Requirements and Recommendations

- A graphing calculator is required of each student. The Mathematics Department recommends and uses the TI-84 Series.
- Application problems must be covered in all mathematics courses. Every section in any course outline that includes application problems must be covered.

### Approval Dates

Effective Term

Fall 2019