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Administrative - Master Syllabus COVER SHEET Administrative - Master Syllabus COVER SHEET Purpose: It is the intention of this Administrative-Master Syllabus to provide a general description of the course, outline the required elements of the course and to lay the foundation for course assessment for the improvement of student learning, as specified by the faculty of Wharton County Junior College, regardless of who teaches the course, the timeframe by which it is instructed, or the instructional method by which the course is delivered. It is not intended to restrict the manner by which an individual faculty member teaches the course but to be an administrative tool to aid in the improvement of instruction. Course Title – Analytic Geometry (Formerly Analytic Geometry & Elementary Functions) Course Prefix and Number – MATH 1348 Department - MATH Division – Math and Science Course Type: (check one) Academic General Education Course (from ACGM – but not in WCJC Core) Academic WCJC Core Course WECM course (This course is a Special Topics or Unique Needs Course: Y or N ) Semester Credit Hours # : Lecture hours# : Lab/other hours # 3:3:0 List Lab/ Other Hours Equated Pay hours for course - 3 Lab Hours 0 Clinical Hours Course Catalog Description – Lines, circles, and other conic sections; transformation of 0 coordinates; polar coordinates; and parametric equations. Practicum Hours 0 Other (list) Prerequisites/Co requisites – TSI satisfied in math 0 Type: ACAD Prepared by Dale Neaderhouser Date 10/30/2012 Reviewed by department head Dale Neaderhouser Date 10/30/2012 Accuracy verified by Division Chair Kevin Dees Date 11/09/2012 Approved by Dean of Vocational Instruction or Vice President of Instruction Lac Date 12-5-12 Administrative-Master Syllabus revised April 2011 Page 1 of 6 Administrative - Master Syllabus I. Topical Outline – Each offering of this course must include the following topics: Plane Analytic Geometry The Cartesian Plane Distance and point-of-division formulas Inclination and slope Parallel and perpendicular lines Angle from one line to another Graphs and Points of Intersection An equation of a Locus Vectors in the Plane Directed line segments and vectors The dot product Applications TEST #1 The Line Point-slope and two-point forms Slope-intercept and intercept forms Distance from a point to a line Families of lines The Circle Standard form for an equation of a circle Conditions determining a circle TEST #2 Conic Sections Introduction The Parabola The Ellipse The Hyperbola Transformation of Coordinates Translation of Conic Sections Translation of General Equations Rotation The General Equation of Second Degree TEST#3 Curve Sketching Symmetry and Intercepts Sketching Polynomial Equations Asymptotes Sketching Rational Functions Radicals and the Domain of the Equation Direct Sketching of Conics Administrative-Master Syllabus revised April 2011 Page 2 of 6 Polar Coordinates and Parametric Equations Polar coordinates Graphs in Polar coordinates Points of Intersection Relationships between Rectangular and Polar Coordinates Conics in Polar Coordinates Parametric Equations TEST #4 FINAL EXAM II. Course Learning Outcomes Course Outcome/Objective Assessment Method 1. Be able to correctly plot graphs for lines, circles, conic sections, polynomials and 1. Hour exam and final. rational functions in Cartesian coordinates 2. Hour exam and final. using pencil and paper. 3. Hour exam and final. 2. Be able to correctly plots graphs in polar 4. Hour exam and final. coordinates and to transform between 5. Hour exam and final. Cartesian and polar coordinates using pencil and paper. 3. Be able to plot correctly plot parametric functions in either Cartesian or Polar coordinates using pencil and paper. 4. Be able to apply transformations of coordinates to functions, including shifts, reflection and rotation. 5. Be able to do vector calculations including addition, subtraction, scalar multiplication and dot product. III. Required Text(s), Optional Text(s) and/or Materials to be Supplied by Student. Analytic Geometry, Sixth Edition; Douglas F Riddle; Wadsworth Publishing Company Calculator (instructor’s discretion) IV. Suggested Course Maximum - 35 V. List any specific spatial or physical requirements beyond a typical classroom required to teach the course. Students must have computer access to the WCJC website, their WCJC student email and online accounts. WCJC has open computer labs, with internet access, on all campuses for students to use. VI. Course Requirements/Grading System – Describe any course specific requirements such as research papers or reading assignments and the generalized grading format for the course Unit tests, Class participation and final examination Semester Grade: Comprehensive Final 20-25% Remainder of work 75-80% Or grading as specified by the instructor. Administrative-Master Syllabus revised April 2011 Page 3 of 6 VII. Outcomes/Objectives and Course Assessment: Desired Outcomes/ Objectives (Choose one) - WCJC Core Course Include the following: Basic Intellectual Competencies Exemplary Educational Objectives Perspectives (attach Core Curriculum Checklist) Additional objectives/outcomes in space provided below. - General Education Courses (ACGM but non-Core) Include the following: Objectives/outcomes in space below. - WECM Courses Include the following: SCANS Competencies (attach Program SCANS Checklist) WECM and other outcomes/objectives in space provided below. Core Curriculum Checklist Page 1: Competencies Course Prefix & Number: MATH 1348 Competency Method of Assessment READING: Reading at the college level means the ability to analyze and interpret a variety of printed materials – books, articles, and documents. WRITING: Competency in writing is the ability to produce clear, correct, and coherent prose adapted to purpose, occasion, and audience. SPEAKING: Competence in speaking is the ability to communicate orally in clear, coherent, and persuasive language appropriate to purpose, occasion, and audience. LISTENING: Listening at the college level means the ability to analyze and interpret various forms of spoken communication. Final Exam CRITICAL THINKING: Critical thinking embraces methods for applying both qualitative and quantitative skills analytically and creatively to subject matter in order to evaluate arguments and to construct alternative strategies. COMPUTER LITERACY: Computer literacy at the college level means the ability to use computer-based technology in communicating, solving problems, and acquiring information. Administrative-Master Syllabus revised April 2011 Page 4 of 6 Core Curriculum Checklist Page 2: Perspectives Course Prefix & Number: MATH 1348 Semester Credit Hours: 3 PERSPECTIVES FOR THIS COURSE Perspective Method of Assessment 1. Helped the student to establish broad and multiple perspectives on the individual in relationship to the larger society and world in which he or she lives, and understand the responsibilities of living in a culturally and ethnically diversified world. 2. Helped stimulate the student’s capacity to discuss and reflect upon individual, political, economic, and social aspects of life in order to understand ways in which to be a responsible member of society. 3. Helped the student to recognize the importance of maintaining health and wellness. 4. Helped the student to develop a capacity to use knowledge of how technology and science affect their lives. Final Exam 5. Helped the student to develop personal values for ethical behavior. 6. Helped the student to develop the ability to make aesthetic judgments. 7. Helped the student use logical reasoning in problem solving. Final Exam 8. Helped the students integrate knowledge from and understand interrelationships of the scholarly disciplines. Administrative-Master Syllabus revised April 2011 Page 5 of 6 Core Curriculum Checklist Page 3: Exemplary Educational Objectives Component Area: Mathematics Exemplary Educational Objective Method of Assessment 1. Apply arithmetic, algebraic, geometric, higher-order thinking, and Final Exam (See Program Management Plan statistical methods to modeling and solving real-world situations. regarding statistical methods. Statistical methods are not a prerequisite and are not in the ACGM.) 2. Represent and evaluate basic mathematical information verbally, Final Exam numerically, graphically, and symbolically. 3. Expand mathematical reasoning skills and formal logic to develop Final Exam convincing mathematical arguments. 4. Use appropriate mathematical thinking and understanding to solve Final Exam mathematical problems and judge the reasonableness of the results. 5. Interpret mathematical models such as formulas, graphs, tables Final Exam and schematics, and draw inferences from them. 6. Recognize the limitations of mathematical and statistical models. Final Exam 7. Develop the view that mathematics is an evolving discipline, interrelated with human culture, and understand its connections to Final Exam other disciplines. Administrative-Master Syllabus revised April 2011 Page 6 of 6 .
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