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College of Micronesia – FSM P.O. Box 159 Kolonia, PohnpeiCourse Outline Cover PageTechnical Mathematics II VMS 101 Course Title Department and Number Course Description: This course is a continuation of VMS100 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: Brent Villiers State: National Campus Hours per Week No. Of Weeks Total Hours Semester Credits Lecture 4/8 16/8 64 4 Laboratory Total Semester Credits: 4 Purpose of Course Degree Requirement _______________________________________ Degree Elective ______________________________________ Advanced Certificate _______________________________________ Certificate ________________XX____________________ Remedial _______________________________________ Other (Workshop) _______________________________________ Prerequisite Course(s): VMS100 _______________________________________ ___________________________ Signature, Chairman, Curriculum Committee Date Approved by Committee _______________________________________________ ________________________________ Signature, President, COM-FSM Date Approved by the President General Objective: This course is designed to give the students entering the more technical occupational programs the mathematical skills to succeed in their chosen field of study. There is an emphasis on the electronic and telecommunications applications. Learning Outcomes: Upon successful completion of this course the student will be able to:
Outline of Content: This course contains:
Learning Outcomes: On completion of this course the learner will be able to:
Learning Outcome 1 Define exponents multiply and divide powers, raise a power to a power and a product or a quotient to a power. Assessment Criteria a. Define exponents.
Assessment Method Multiple choice questions Short answer questions Learning Outcome 2 Define exponents, multiply and divide powers, raise a power to a power and a product or a quotient to a power. Assessment Criteria a. Describe monomials.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 3 Describe, add, subtract, multiply and divide polynomials.
Assessment Criteria a. Define polynomials.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 4 Factorize polynomials. Assessment Criteria a. Factorize by finding the greatest common factor.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 5 Simplify radicals and solve equations using one and two radical expressions. Assessment Criteria a. Factor radicand terms. b. Simplify radicals using Product Property of Roots and Quotient Property of Roots.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 6 Graph linear equations, find the slope of a line and find the equation of a line. Assessment Criteria a. Describe the rectangular coordinate system.
Assessment Method Multiple choice questions Short answer questions Learning Outcome 7 Solve systems of equations by graphing, substitution and addition. Identify consistent, inconsistent and dependent systems by their graphs, substitution or addition. Assessment Criteria a. Define a system of equations.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 8 Analyze statistical data.
Assessment Criteria a. Describe the role of statistics in industry.
Assessment Method Multiple choice questions Short answer questions Learning Outcome 9 Graph trigonometric functions. Assessment Criteria a. Identify the basic graphs for the six trigonometric functions.
Assessment Method Multiple choice questions Short answer questions Learning Outcome 10 Find the trigonometric function of an angle using a reciprocal or ratio identity, or Pythagorean and related identities. Assessment Criteria a. Examine the origins of the reciprocal and ratio identities.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 11 Find the exact trigonometric function value of a given angle using the sum and difference formulas and use the proper formula to find the exact trigonometric value of a given angle.
Assessment Criteria a. State the sum and difference formulas for sine, cosine and tangents.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 12 Define the applications of trigonometry.
Assessment Criteria a. Identify an oblique triangle.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 13 Graph polar equations.
Assessment Criteria a. Define the polar coordinate pair. b. Graph polar coordinates. Assessment Method Multiple choice questions Short answer questions Learning Outcome 14 Add vectors using the analytical method.
Assessment Criteria a. Define vector terms.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 15 Perform rectangular to polar conversions and vice versa, and add, subtract, multiply and divide complex numbers. Assessment Criteria a. Define j-operator and complex numbers.
Assessment Method Multiple choice questions Short answer questions
Learning Outcome 16 Define exponential and logarithmic functions and describe their relationship. Apply the change of base formula.
Assessment Criteria a. Define the exponential function.
Assessment Method Multiple choice questions Short answer questions
Required Course Materials: 1. Instructor: a. CAI Classroom with whiteboard or chalkboard b. Text, Teacher’s Resource Guide, workbook c. Overhead projector, transparencies 2. Student: a. Text(s), handouts provided by instructor b. Ring binder c. College ruled note sheet, pencil or pen d. Scientific calculator
Reference Materials:?
Method of Instruction:
Evaluation: Final Grade for this course will be based on meeting the course requirements at the following percentage rates: 96% - 100% A – Superior 90% - 95% B – Above Average 80% - 89% C – Average 69% - 79% D – Below Average 0 % - 69% F – Failure Attendance: The COM-FSM vocational educational attendance policy will apply. |
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