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4/16/15 X DATE REQUIRED COURSE ELECTIVE COURSE Technology X DIVISION NEW COURSE REVISION LAKE LAND COLLEGE Course Information Form COURSE NUMBER SEM CR HRS TEC054 2 TITLE LT HRS 2 Technical Math III LAB HRS COURSE PCS# Prerequisites: ECH SOE HRS (Assigned by Administration) TEC052 – Technical Math II Catalog Description (40 Word Limit): Offers the student a more in-depth study of algebra, geometry, and trigonometry through applications involving right and oblique triangles, quadratic equations, exponents, graphing, and proportioning. List the Major Course Segments (Units) Lt Hrs Right Triangle Trigonometry Oblique Triangles Quadratic Equations Exponents and Radicals Radian Measure and Arc Length Trigonometric, Parametric, and Polar Graphs Ratio, Proportion, and Variation Exponential Functions EVALUATION: Textbook: Exams Projects Lab Hrs 2 7 2 2 4 4.5 4.5 4 Quizzes Lab Work X Title: Technical Mathematics with Calculus Author: Calter, Paul Publisher: John Wiley & Sons Volume/Edition: 6th Edition Copyright Date: 2011 X Oral Pres Comp Final X Papers Other Major Course Segment Right Triangle Trigonometry Hours 2 - Oblique Triangles 7 Quadratic Equations 2 Exponents and Radicals 2 Radian Measure and Arc Length 4 - Graphs of Trigonometric Functions 4.5 - Ratio, Proportion, and Variation 4.5 - Exponential Functions 4 - Learning Outcomes The student will be able to: Convert angles between different units of measure. Find the trigonometric functions of an angle. Find the missing sides and angles of a right triangle. Determine the angles with a given trig function. Solve oblique triangles using the law of Sines. Solve oblique triangles using the law of Cosines. Solve quadratics by formula. Apply quadratics to a variety of applications. Use the laws of exponents to simplify and combine expressions having integral exponents. Solve radical equations manually. Understand importance of radian measure. Calculate trigonometric functions of an angle given in radians. Calculate the areas of sectors and segments. Use radian measure to calculate arc length, radius, or central angle. Identify and determine amplitude, period, frequency, and phase shift of the sine curve. Graph a Sine curve. Convert between polar and rectangular coordinates. Set up and solve a proportion for a missing quantity. Solve applied problems using proportions or the constant of proportionality. Applied problems include: direct variation, inverse variation, and power function problems. Find dimensions, areas, and volumes of similar geometric figures. Solve applied compound interest, exponential growth, exponential decay, and exponential growth to an upper limit problems. Course Outcomes: At the successful completion of this course, students will be able to: Solve oblique triangles using the law of Sines. Solve oblique triangles using the law of Cosines. Solve applied problems using proportions or the constant of proportionality. Convert between polar and rectangular coordinates.