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CPlanGRC 001.doc KING ABDUL AZIZ UNIVERSITY Jeddah Community College COURSE PLAN GRC 001 CONTENT INSTRUCTOR’S DETAILS COURSE SCHEDULE SYNOPSIS LEARNING OUTCOMES COURSE OUTLINE ASSESSMENT BREAKDOWN & POLICY ATTENDANCE POLICY REFERENCES INSTRUCTO R’ S DETAILS Name: jabr aljedani, (Course Coordinator) Office: 2nd Floor, Jeddah Community College. Telephone No: 2870026 Extn. 305 E-mail: jaljedani@hotmail .com COURSE SCHEDULE GRC 001 Group (1M) Day Time S.MTW… 8:00-8:50 Room 111B SYNOPSIS This course studies The real number system, Integer and Rational number exponents, Polynomials, Factoring, Rational expressions, Linear and absolute value equations, Formulas and applications, Quadratic equations, Other types of equations, Inequalities, A two dimensional coordinate system and graphs, Functions and their graphs, Linear functions, Quadratic functions, Properties of graphs, Basics of statistics. This course will help prepare the student for an increasingly technical society and GRC 002 Mathematics Course. LEARNING OUTCO MES This course will address the following Student Ability, as being important for personal development: King AbdulAziz University Course Plan 1. Problem Solving - Problem solving is the process of identifying an obstacle or dilemma, using critical thinking strategies and decision making skills, and applying appropriate measures needed to overcome or resolve the obstacle or dilemma. 2. In this course, students will learn to analyze problems and develop strategies to solve them. Students will learn not only how to solve equations and inequalities, but also they will learn how to translate problems into equations that can be solved. COURSE OUTLINE Section Number P.1 Topics Hrs 6 THE REAL NUMBER SYSTEM Demonstrate knowledge and usage of sets of a)Natural numbers b) Whole numbers c) Integers d) Rational numbers e) Irrational numbers f) Real numbers g) Prime numbers h)Composite numbers Demonstrate knowledge and usage of a) Sets b) Union of sets c) Intersection of sets d) Finite sets e)Infinite sets f)Null set g)Set builder notation h) List notation i) Absolute value and distance j) Interval Notation k)Order of Operations Evaluate and simplify a variable expression ,Identify Properties of Real numbers P.2 4 INTEGER AND RATIONAL NUMBER EXPONENTS 1. Demonstrate knowledge and usage of a) Properties of Exponents b) Rational exponents and radicals 2. Express a given number into Scientific Notation and vice versa, Simplify an Expression Using Scientific Notation 3. Simplify Radical Expressions, Simplify Combined Radical Expressions, Multiply Radical Expressions etc. P.3 3 POLYNOMIALS 1.Identify different terms in the polynomial, Add polynomials, Multiply polynomials 2.Apply and use the following formulae a) b) c) 3.Evaluate a polynomial P.4 6 FACTORING 1.Find and factor out Greatest Common Factor 2.Factor a trinomial of the form a) b) 3.Factor the difference of squares, Factor a perfect square trinomial, Factor the sum or difference of cubes, Factor by grouping, General factoring P.5 1. 2. 3. 4. 5. 1.1 6 RATIONAL EXPRESSIONS Simplify a rational expression Divide a rational expression Determine the LCD of rational expressions Add and Subtract rational expressions Simplify complex fractions Review1 LINEAR AND ABSOLUTE VALUE EQUATIONS 3 Solve a linear equation of single variable by clearing fractions and applying properties, Solve an absolute value equation 1.2 1 FORMULAS AND APPLICATIONS Jeddah Community College -2- GRC001 King AbdulAziz University Course Plan Solve a formula for a specified variable 1.3 4 QUADRATIC EQUATIONS 1.Solve a quadratic equation by factoring 2.Solve a quadratic equation by taking square roots 3. Solve a quadratic equation by using quadratic formula 1.4 2 OTHER TYPES OF EQUATIONS 1.Solve a polynomial equation by factoring 2.Solve rational equations 3.Solve Radical equations 4.Solve the equations that are quadratic in Form . 1.5 2 INEQUALITIES 1.Solve linear inequalities 2.Solve compound inequalities 3.Solve absolute value inequalities 2.1 3 A TWO DIMENSIONAL COORDINATE SYSTEM AND GRAPHS 1. Demonstrate knowledge and usage of Cartesian Coordinate system 2. Find the midpoint and length of a line segment 3. Draw a graph by plotting points 4. Find x and y -intercepts 2.2 3 FUNCTIONS. 1. Evaluate functions 2. Graph a function by plotting points 3. Demonstrate knowledge and usage of vertical line test 4. Find domain of functions 5. Identify whether a set of ordered pairs is a function 2.3 3 LINEAR FUNCTIONS 1. Find the Slope of a line 2. Graph a linear function 3. Find the equation of a line using slope and y-intercept, using point-slope formula, using two point formula 4. Demonstrate knowledge and usage of real solutions and x-intercepts theorem 2.4 4 QUADRATIC FUNCTIONS 1.Differentiate between Quadratic, Cubic and Quadratic functions 2.Find the standard form of a quadratic function by direct method/Using completing the square method 3.Find the vertex and axis of the graph of the quadratic function 4.Draw the graph of quadratic function using the standard form 2.5 2 PROPERTIES OF GRAPHS 1. Determine symmetries of a graph ( With respect to origin , x-axis or(and) y-axis) 2. Determine whether a given function is either even ,odd or neither 3.1 6 SOME BASICS OF STATISTICS 1.Definition of some statistical terms as average, mean, median, mode, frequency, standard deviation, ….etc. 2.Accuracy and error calculation Review2 Total 52 WEEKLY PLAN Dates Week Chapter Jeddah Community College Topic -3- Assignments Remarks: Submission Deadline for Assignments GRC001 King AbdulAziz University Course Plan 25/10 – 1 P The real number system 2/11– 2 P Evaluate and simplify a variable expression ,Identify Properties of Real numbers 9/11 – 3 P Integer and rational number exponents 16/11 – 4 P Polynomials 23/11 – 5 P Rational expressions 1/12 – 6 P Rational expressions & Revision 15/12 – 7 1 Linear and absolute value equations & Formulas and applications 22/12 – 8 1 Quadratic equations 29/12 – 9 1 Other types of equations 7/1 – 10 1 Inequalities 14/1 – 11 2 A two dimensional coordinate system and graphs & Functions 21/1 – 12 2 Linear functions & Quadratic functions 28/1 – 13 2&3 Properties of graphs & Some basics of statistics 5/2 – 14 3 Some basics of statistics 26/2 – 15 Assignment 1 Forum 1 Forum 2 Forum 2 due 15/12 Assignment 2 Assignment 1 due 29/12 Forum 3 Forum 4 REVISION 3/3- Forum 2 due 23/11 Assignment 2 & Forum 3 due 23/2 Forum 4 due 30/2 FINAL EXAMINATION ASSESSMENT BREAKDOWN & POLICY Students’ assessments in this course are based on the following: 1) Carry Marks Jeddah Community College -4- GRC001 King AbdulAziz University Course Plan Assignments Mid-Semester Examinations 5% First Mid-Semester Examination 25% Second Mid-Semester Examination 25% 2) Quizzes 5% Final Examination 40% Total 100 % A T T E N D A N C E POLICY Attendance is mandatory. Instructor is required to keep attendance records and report absences. Due to the interactive nature of this course, attendance is an essential part of the educational experience. JCC expects students to exercise good judgment regarding attendance. Students accept full responsibility for ensuring that work does not suffer from absence. All students are expected to attend every scheduled class on time. Exceptions may be made for work related activities, illness or valid emergency situation. If a student’s attendance is less than 80%, he/she may not be allowed to sit for the final examination. Punctuality is important. The instructor may not allow student(s) to enter the classroom if he/she is a habitual latecomer. REFERENCES Main Reference R.N. Rufmann, V.C.Barker and R.D.Nation,"College Algebra and Trigonometry", 7th. Edition, Houghton Mifflin Company, 2011. Other Books 1. M. L. Lial, J. Hornby and D. I. Schneider, “College Algebra and Trigonometry”, (Third edition),PearsonEducationInc.,2005. 2. M. Dugopolski, “College Algebra”, (Third edition), Pearson Education Inc., 2003. Jeddah Community College -5- GRC001