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College of Micronesia PO Box 159 Pohnpei FM 96941 Course title: Technical math II Department and number: MS106 Course description: This course is a continuation of MS104 and is designed to provide vocational students with the mathematical tools needed to succeed in selected higher level technical occupational programs. Topics covered include exponents and monomials, polynomials, roots and radicals, graphing trigonometric functions, angle formulas, and the applications of trigonometry, vectors, complex numbers and logarithms. Prepared by: Lecture Laboratory Alan L. Alosima Hours/Week No. Of Weeks 3 x 16 3 x 16 State: = = Total Hours 48 48 Total Semester Credits Purpose of Course Degree Requirement Degree Elective Advanced Certificate Certificate Remedial Other (Workshop) Pohnpei Campus = = Semester Credits 3 1 4 ā This course also meets PLO#(S): NA Prerequisite Course: MS 104 Technical Math I _______________________________________ Signature, Chairperson, Curriculum & Assessment Committee ___________________________________ Signature, VPIA, COM-FSM MS106 TECHNICAL MATH II ___________________________ Date Approved ________________________________ Date Approved RECOMMENDED BY CAC: 12/13/11 APPROVED BY VPIA: 12/19/11 A. PROGRAM LEARNING OUTCOMES (PLOs): The student will be able to: 1. Demonstrate understanding and apply mathematical concepts in problem solving and in day to day activities. 2. Present and interpret numeric information in graphic forms. 3. Communicate thoughts and ideas effectively using proper mathematical terms. B. STUDENT LEARNING OUTCOMES (SLOs) - GENERAL: The student will be able to: 1. Analyze statistical data. 2. Graph linear equations, find the slope of a line, and find the equation of a line. 3. Solve systems of equations by graphing, substitution method, and addition method. 4. Define and describe the laws of exponents and perform basic operations with polynomials. 5. Simplify radicals and solve equations using one and two radical expressions. 6. Factor polynomials. 7. Define exponential and logarithmic functions and describe their relationship. Apply the change of base formula. 8. Perform operations with vectors, graph polar equations, and perform rectangular to polar conversions and vice versa. 9. Graph trigonometric functions. 10. Define the applications of trigonometry. SLO 1 2 3 4 5 6 7 8 9 10 PLO 1 DM DM IDM DM IDM IDM IDM IDM DM DM PLO 2 ID ID ID ID ID IDM IDM ID ID ID PLO 3 D ID ID D ID ID ID ID ID ID I = Introduced D = Demonstrated M = Mastered MS106 TECHNICAL MATH II RECOMMENDED BY CAC: 12/13/11 APPROVED BY VPIA: 12/19/11 C. STUDENT LEARNING OUTCOMES - SPECIFIC: The student will be able to: General SLO 1. Analyze statistical data. Student Learning Outcomes 1.1 Describe the role of statistics in industry. 1.2 Explain the concepts of mean, median, mode, standard deviation, percentiles and quartiles. 1.3 Interpret the analysis of statistical data. 1.4 Describe the various statistical diagrams. 1.5 Contrast the various statistical histograms. Assessment Strategies Written tests and oral recitations Written quizzes and homework General SLO 2. Graph linear equations, find the slope of a line, and find the equation of a line. Student Learning Outcomes Assessment Strategies 2.1 Describe the rectangular coordinate system. 2.2 Locate points on the rectangular coordinate system. Written tests and oral recitations 2.3 Locate the coordinates of points on the rectangular Written quizzes and homework coordinate system. 2.4 Graph linear equations. 2.5 Find the slope of a line. 2.6 Find the equation of a line. General SLO 3. Solve systems of equations by graphing, substitution method, and addition method. Student Learning Outcomes Assessment Strategies 3.1 Define a system of equations. 3.2 Solve systems of equations by graphing. . 3.3 Identify consistent, inconsistent, and dependent systems by their graphs. Written tests and oral recitations 3.4 Solve systems of equations by substitution. Written quizzes and homework 3.5 Identify consistent, inconsistent, and dependent systems by the results of substitution. 3.6 Solve systems of equations by addition. 3.7 Identify consistent, inconsistent, and dependent systems by the results of addition. General SLO 4. Define and describe the laws of exponents and perform basic operations with polynomials. Student Learning Outcomes Assessment Strategies 4.1 Define exponents and the laws of exponents. Written tests and oral recitations 4.2 Define and describe monomials and polynomials. Written quizzes and homework 4.3 Raise a power and a product or a quotient to a power. 4.4 Add, subtract, multiply, and divide monomials. 4.5 Add, subtract, multiply, and divide polynomials. MS106 TECHNICAL MATH II RECOMMENDED BY CAC: 12/13/11 APPROVED BY VPIA: 12/19/11 General SLO 5. Simplify radicals and solve equations using one and two radical expressions. Student Learning Outcomes Assessment Strategies 5.1 Factor radicand terms. 5.2 Simplify radicals using Product Property of Roots and Written tests and oral recitations Quotient Property of Roots. Written quizzes and homework 5.3 Rationalize denominators. 5.4 Multiply, divide, add and subtract radicals. 5.5 Solve equations containing radical expressions. 5.6 Define and describe complex numbers. 5.7 Perform the basic operations with complex numbers. General SLO6. Factor polynomials. Student Learning Outcomes 6.1 Factor by finding the greatest common factor. 6.2 Factor by grouping. 6.3 Factor trinomials. 6.4 Factor by recognizing special binomial factors. 6.5 Solve polynomial equations by factoring. 6.6 Define quadratic equations and quadratic formulas. 6.7 Solve equations using the quadratic formula. 6.8 Solve word problems. Assessment Strategies Written tests and oral recitations Written quizzes and homework General SLO 7. Define exponential and logarithmic functions and describe their relationship. Apply the change of base formula. Student Learning Outcomes Assessment Strategies 7.1 Define the exponential function. 7.2 Describe the graph of the exponential function. 7.3 Evaluate exponential functions. Written tests and oral recitations 7.4 Define the logarithmic functions. Written quizzes and homework 7.5 Describe the relationship exponential and logarithmic functions. 7.6 Describe the graph of the logarithmic functions. 7.7 Use the properties of logarithms. 7.8 Apply the change of base formula. GENERAL SLO 8. Perform operations with vectors, graph polar equations, and perform rectangular to polar conversions and vice versa. Student Learning Outcomes Assessment Strategies 8.1 Define vectors and describe vector notation. 8.2 Determine the magnitude and direction of a vector. Written tests and oral recitations 8.3 Determine the horizontal and vertical components Written quizzes and homework of a vector. 8.4 Add, subtract, and multiply vectors. 8.5 Define and graph polar coordinates 8.6 Perform rectangular to polar conversions and vice-versa. MS106 TECHNICAL MATH II RECOMMENDED BY CAC: 12/13/11 APPROVED BY VPIA: 12/19/11 8.7 Define j-factor and write vectors in complex form. General SLO 9. Graph trigonometric functions. Student Learning Outcomes Assessment Strategies 9.1 Identify the basic graphs for the six trigonometric functions. 9.2 Define period and amplitude. 9.3 Define the period and amplitude of sine and cosine Written tests and oral recitations functions. Written quizzes and homework 9.4 Determine the amplitude of the sine and cosine functions. 9.5 Find the change in the period of a trigonometric function. 9.6 Determine the phase shift of a trigonometric function. General SLO 10. Define the applications of trigonometry. Student Learning Outcomes Assessment Strategies 10.1 Identify an oblique triangle. 10.2 Find the missing parts of an oblique triangle using the law of sines. Written tests and oral recitations 10.3 Describe the three possibilities resulting from Written quizzes and homework the ambiguous case. 10.4 Find the missing parts of an oblique triangle using the law of cosines . 10.5 Solve an oblique triangle using the laws of sines and cosines 10.6 Determine the area of an oblique triangle using trigonometric relationships. D. COURSE CONTENT I. introduction to statistics II. algebra III. complex numbers IV. logarithms V. vectors VI. graphing polar equations VII. trigonometry E. METHODS OF INSTRUCTION Computer Aided Instruction F. REQUIRED TEXT AND COURSE MATERIALS Cleaves, Cheryl, and Margie Hobbs. College Mathematics: 2009 Update with MyMathLab. Upper Saddle River, New Jersey: Prentice Hall, 2009 (or most recent edition) G. REFERENCE MATERIALS None MS106 TECHNICAL MATH II RECOMMENDED BY CAC: 12/13/11 APPROVED BY VPIA: 12/19/11 H. INSTRUCTIONAL COSTS None I. EVALUATION The student must achieve 70% mastery or a āCā grade to pass this course. J. CREDIT BY EXAMINATION None MS106 TECHNICAL MATH II RECOMMENDED BY CAC: 12/13/11 APPROVED BY VPIA: 12/19/11