I. TECHNICAL COURSES A. MATHEMATICS COURSE SPECIFICATIONS Bachelor of Science in Ceramics Engineering Course Name Course Description Number of Units for Number of Contact Hours per Week Prerequisite Course Objectives Course Outline COLLEGE ALGEBRA Algebraic expressions and equations; solution sets of algebraic equations one variable: linear, quadratic, polynomial of degree n, fractional, radica equations, quadratic in form, exponential and logarithmic equations decomposition of fractions into partial fractions; solution sets of systems linear equations involving up to three variables. 3 units lecture 3 hours lecture None After completing this course, the student must be able to: 1. Operate and simplify algebraic expressions; 2. Determine the solution sets of all types of algebraic equations, exponential and logarithmic equations; and inequalities; 3. Use the manipulative and analytical skills acquired in Objectives 1 to 2 to solve word problems; and 4. Identify the domain and range of a given relation/function. Operations on Radicals Complex Numbers 3. Equations in One Variable 3.1. Linear Equations; Literal Equations 3.2. 3.3. Quadratic Equations in One Variable 3.4. Other Equations in One Variable: Radical, Fractional, Quadratic in Suggested References Dugopolski, Mark. College Algebra, 3rd ed. Addison-Wesley, 2002. Leithold, Louis. College Algebra and Trigonometry. Massachusetts: Addison- Mijares, Catalina. College Algebra. Swokowski, Earl W. and Jeffrey A. Cole. Algebra and Trigonometry with Course Name Course Description Number of Units for Lecture and Laboratory Number of Contact Hours per Week Prerequisites Course Objectives ADVANCED ALGEBRA Matrices and determinants; arithmetic and geometric series; solution sets of different types of inequalities and systems involving quadratics; solution of linear equations using determinants and matrices. 2 units lecture 2 hours lecture College Algebra After completing this course, the student must be able to: 1. Determine the solution sets of inequalities; 2. Determine the solution sets of systems involving quadratics; 3. Use the manipulative and analytical skills acquired in Objective 2 to solve word problems; 4. Operate and manipulate matrices and determinants: 5. Solve systems of linear equations using matrices and determinants; and 6. Determine the indicated sum of the elements in an arithmetic and Course Outline Algebra on Matrices (Sum and Difference, Scalar Multiplication, Solution of Linear Systems Using Matrices 5. Sequence and Series 4.6. 4.7. |