TRI-COUNTY TECHNICAL COLLEGE
COURSE SYLLABUS
Course Prefix & Number: MAT 182
Course Title: Integrated Mathematics II
Class Hours Lab Hours Credits
Per Week: 3 Per Week: 0 Awarded: 3
Catalog Description: Focus on basic algebra, linear and quadratic equations, basic trigonometry and concepts of functions and graphs in a problem based study of mechanical topics.
Entry Level Skills: A student entering MAT 182 should have the math skills associated with the successful completion of MAT 101.
Pre-requisites: Satisfactory math placement score.
Co-requisites: PHY 182, EGR 182 ENG 182
Text(s)/Required Materials: Technical Mathematics with Calculus; by Ewen, Gary, and Trefzger, 2nd edition, 2005, Pearson)
Equipment: Graphing calculator (TI-83, TI-83 Plus or TI-84 Plus recommended)
Course Competencies and Objectives/Major Course Topics:
Unit I: Fundamental Concepts
Upon completing this unit (sections 1.1-1.14) the successful student should be able to:
1. Add, subtract, multiply and divide signed numbers.
2. Work with numbers in scientific notation.
3. Know the difference between the accuracy and the precision of a measurement.
4. Perform arithmetic operations with measurements.
5. Apply the rules for order of operations.
6. Name the number of terms in and the degree of a polynomial.
7. Identify the numerical coefficient of a term.
8. Use the rules of exponents for positive integral exponents.
9. Simplify polynomial expressions.
10. Add, subtract, multiply, and divide polynomials.
11. Evaluate formulas
Unit II: Right Triangle Trigonometry
Upon completing this unit (sections 3.1-3.4, 10.3,10.4) the successful student should be able to:
1. Transform angle measurements from degree/minute/second to radian measure and vice versa.
2. Apply the Pythagorean Theorem to right triangles.
3. Apply any of the trigonometric functions to a given right triangle.
4. Identify and use the values of the trigonometric function of the special angles.
5. Use a calculator to evaluate any trigonometric function with an angle in either degree/minute/second or radian measure.
6. Solve right triangles.
7. Use radian measure in describing angular and linear velocity
Unit III: Vectors
Upon completion of this unit (sections 11.5-11.8) the successful student should be able to:
1. Add and subtract vectors graphically.
2. Add and subtract vectors using trigonometric methods.
3. Resolve a given vector into its horizontal and vertical components.
4. Given the vector components find the resultant vector.
5. Apply vectors to solve given applications.
Unit IV: Equations and their Graphs
Upon completion of this unit (sections 4.1-4.5) the successful student should be able to:
1. Identify relations that are functions.
2. Determine the domain and range of a function.
3. Use function notation.
4. Solve equations graphically.
5. Find the slope of a line.
6. Find the equation of a line given appropriate information.
7. Apply the characteristics of parallel and perpendicular lines.
8. Apply the distance and midpoint formulas.
Unit V: Factoring and Algebraic Fractions
Upon completion of this unit (sections 5.1-5.7) the successful student should be able to:
1. Find the greatest common factor in an algebraic expression.
2. Identify and factor the difference of two squares.
3. Identify and factor the square of a binomial.
4. Factor trinomials.
5. Add, subtract, multiply, and divide algebraic fractions.
Unit V: Quadratic Equations
Upon completion of this unit (sections 7.3, 7.4) the successful student should be able to:
1. Solve quadratic equations using the quadratic formula.
2. Solve applications involving quadratic functions.
Grade Calculation Method:
Tests 40%
Projects: 20%
Homework 20%
Final Exam 20%
Total 100%
Prepared by Joseph Stearns Date written or revised April 18, 2006