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GEN ED COURSE OUTLINE TEMPLATE ESSEX COUNTY COLLEGE Mathematics and Physics Division MTH 121 Calculus with Analytic Geometry I Course Outline Course Number Name MTH 121 Calculus with Analytic Geometry I Credit Hours 4 0 Contact Hours 4 0 Lecture 4 0 Lab N A Other N A Prerequisites Grade of C or better in MTH 120 or placement Co requisites None Concurrent Courses None Course Outline Revision Date Fall 2010 Course Description This is the first course taken from or current update from the ECC Catalog General Education Goals The aggregate of the core courses required for any major at ECC have the following goals 1 Written and Oral Communication Students will communicate effectively in both speech and writing 2 Quantitative Knowledge and Skills Students will use appropriate mathematical and statistical concepts and operations to interpret data and to solve problems 3 Scientific Knowledge and Reasoning Students will use the scientific method of inquiry through the acquisition of scientific knowledge 4 Technological Competency Information Literacy Students will use computer systems or other appropriate forms of technology to achieve educational and personal goals 5 Society and Human Behavior Students will use social science theories and concepts to analyze human behavior and social and political institutions and to act as responsible citizens 6 Humanistic Perspective Students will analyze works in the field of art music or theater literature and philosophy and or religious studies and will gain competence in the use of a foreign language 7 Historical Perspective Students will understand historical events and movements in World Western non Western or American societies and assess their subsequent significance 8 Global and Cultural Awareness of Diversity Students will understand the importance of global perspective and culturally diverse peoples 9 Ethics Students will understand ethical issues and situations Course Goals Upon successful completion of this course students should be able to do the following 1 demonstrate knowledge of the fundamental concepts and theories GEG 2 2 utilize various problem solving and critical thinking techniques to GEG 2 3 communicate accurate mathematical terminology and notation in written and or oral form GEG 1 GEG 2 and 4 use appropriate technology as a tool GEG 2 Measurable Course Performance Objectives MPOs Upon successful completion of this course students should specifically be able to do the following 1 Demonstrate knowledge of the fundamental concepts and theories matches Course Goal 1 above 1 1 1 2 1 3 1 4 1 5 1 6 define limits evaluate limits evaluate derivatives approximate definite integrals apply the derivative and apply differentials 2 Utilize various problem solving and critical thinking techniques to matches Course Goal 2 above 2 1 apply integrals and 2 2 apply derivatives 3 Communicate accurate mathematical terminology and notation in written and or oral form matches Course Goal 3 above 3 1 write and explain solutions 4 Use appropriate technology as a tool matches Course Goal 4 above 4 1 use a graphing calculator and 4 2 use mathematical software Methods of Instruction Instruction will consist of a combination of page 2 prepared by C Wang R Bannon Spring 2010 Outcomes Assessment All test and exam questions are blueprinted Course Requirements All students are required to 1 Read the textbook 2 Be an active participant 3 Complete all 4 Take exams quizzes Methods of Evaluation Final course grades will be computed as follows of final course grade Grading Components Optional assignments e g problem sets research projects etc designed to enhance understanding of 3 or more Tests dates specified by the instructor Tests will show evidence of the extent to which students meet course objectives 60 70 Final Exam The comprehensive final exam will examine the extent to which students 30 35 0 10 NOTE The instructor will provide specific weights which lie in the above given ranges for each of the grading components at the beginning of the semester Also students may use a scientific or graphing calculator or laptop computer page 3 prepared by C Wang R Bannon Spring 2010 Academic Integrity Dishonesty disrupts the search for truth that is inherent in the learning process and so devalues the purpose and the mission of the College Academic dishonesty includes but is not limited to the following plagiarism the failure to acknowledge another writer s words or ideas or to give proper credit to sources of information cheating knowingly obtaining or giving unauthorized information on any test exam or any other academic assignment interference any interruption of the academic process that prevents others from the proper engagement in learning or teaching and fraud any act or instance of willful deceit or trickery Violations of academic integrity will be dealt with by imposing appropriate sanctions Sanctions for acts of academic dishonesty could include the resubmission of an assignment failure of the test exam failure in the course probation suspension from the College and even expulsion from the College Student Code of Conduct All students are expected to conduct themselves as responsible and considerate adults who respect the rights of others Disruptive behavior will not be tolerated All students are also expected to attend and be on time all class meetings No cell phones or similar electronic devices are permitted in class Please refer to the Essex County College student handbook Lifeline for more specific information about the College s Code of Conduct and attendance requirements page 4 prepared by C Wang R Bannon Spring 2010 Course Content Outline based on the text Calculus Early Transcendentals 6th edition by Stewart published by Cengage Brooks Cole 2008 ISBN 0 53878256 0 Class Meeting 80 minutes 1 2 10 11 Chapter Section CHAPTER 2 LIMITS AND DERIVATIVES 2 1 The Tangent and Velocity Problems 2 2 The Limit of a Function CHAPTER 3 DIFFERENTIATION RULES 3 1 Derivatives of Polynomials and Exponential Functions 3 2 The Product and Quotient Rules 15 Test 1 on Chapter 2 Sections 3 1 3 4 16 17 3 5 Implicit Differentiation 3 6 The Derivatives of Logarithmic Functions 39 40 6 4 Work 6 5 Average Value of a Function 41 42 Review for Final Exam Comprehensive Final Exam on all course material covered page 5 prepared by C Wang R Bannon Spring 2010


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