MATH103

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 non-graphing scientific calculator and to incorporate graphing utilities whenever appropriate to illustrate concepts and to solve problems.

Measurement

1. Define the rules for significant digits.

2. Define the accuracy and precision of measurement.

3. Define approximate versus exact numbers.

4. Perform basic arithmetic operations with measurements.

Exponents and Radicals

1. State the laws of exponents.

2. Simplify algebraic expressions using the laws of exponents.

3. Simplify square roots and cube roots.

Linear Equations, Formulas, and Variation

1. Solve linear equations algebraically.

2. Solve formulas for the specified variable.

3. Solve problems involving direct variation, inverse variation, and joint variation.

Right Triangle Trigonometry

1. Determine the values of the six trigonometric functions of any angle in degrees.

2. Solve right triangles and solve applications of the right triangle.

Functions and Graphs

1. Define relations and functions.

2. Determine the domain and range of relations and functions.

3. Evaluate functions.

4. Solve equations graphically.

5. Determine the slope of a line.

6. Determine the equation of a line satisfying given conditions including parallel and perpendicular lines.

7. Find the distance between two points.

8. Find the midpoint of a line segment.

Trigonometric Functions

1. Define and draw positive and negative angles in standard position.

2. State the definitions of the six trigonometric functions associated with an angle in standard position.

3. State the signs of the trigonometric functions of nonquadrantal angles and the values of the trigonometric functions of quadrantal angles.

4. Define the reference angle of any nonquadrantal angle in standard position.

5. Determine angles, using a scientific calculator, when the value of the trigonometric function is given.

Vectors

1. Add vectors geometrically.

2. Resolve a vector into components.

3. Perform vector addition by components.

4. Solve vector application problems.

Factoring and Algebraic Fractions

1. Express polynomials in completely factored form.

2. Reduce algebraic fractions to lowest terms.

3. Multiply, divide, add, and subtract algebraic fractions.

4. Simplify complex fractions.

Systems of Linear Equations

1. Solve a linear system of two equations in two variables, graphically and algebraically.

2. Solve application problems using a system of two linear equations.

Quadratic Equations

1. Solve quadratic equations by factoring (whenever possible), using the square roots (whenever possible), and using the quadratic formula.

2. Solve applications involving quadratic equations.

Complex Numbers

1. Perform basic operations of addition, subtraction, multiplication, and division on complex numbers.