> bjbjWW 4==y36nnnnn8F SR!(!"""P#Z##QQQQQQQ$aUXHQn#P#P###Qnn""HR)))#^n"n"Q)#Q))JM"贺4$K"QR0SK[XF%>[XDMM&[XnN##)#####QQ'2###S####[X######### 4: NORTH CENTRAL TEXAS COLLEGE
COURSE SYLLABUS
The North Central Texas College (NCTC) Course Syllabus provides the following as required by the Texas Higher Education Coordinating Board (THECB): (1) a brief description of the course including each major course requirement, assignment and examination; (2) the learning objectives for the course; (3) a general description of the subject matter of each lecture or discussion; and (4) any required or recommended readings. Contact information for the instructor is also provided. The Course Syllabus also provides institutional information to indicate how this course supports NCTCs purpose and mission. Information specific to a particular section of the course will be included in the Class Syllabus and distributed to enrolled students.
Course Title: Calculus ICourse Prefix & Number: MATH2413Section Number: XXXTerm Code: 131SSemester Credit Hours: 4Lecture Hours: 64Lab Hours: Course Description (NCTC Catalog ): Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.Course Prerequisite(s): MATH2412 or both MATH1314 and MATH1316Course Type:
o - Academic General Education Course (from Academic Course Guide Manual but not in NCTC Core)
x - Academic NCTC Core Curriculum Course
o - WECM Course
Name of Instructor: John DoeCampus/Office Location:Corinth Campus room XXXTelephone Number:XXX-XXX-XXXXE-mail Address:jdoe@nctc.edu
Name of Chair/Coordinator: Aziel WilsonOffice Location:Cor331Telephone Number:940-498-6227E-mail Address:awilson@nctc.edu
REQUIRED OR RECOMMENDED COURSE MATERIALS
Larson, & Edwards, Calculus: Early Transcedental Functions,5th Edition
Scientific calculator
COURSE REQUIREMENTS, EVALUATION METHODS AND GRADING CRITERIA
# of Graded Course ElementsGraded Course ElementsPercentage or Points Values20HomeworkXX10QuizzesXX5TestsXX1Final ExamXX
ATTENDANCE POLICY
TENTATIVE TEST SCHEDULE
OTHER PERTINENT INFORMATION
INSTITUTIONAL LEARNING GOALS
x A quality general education curriculum in all associate degree programs.
x Quality freshman and sophomore level courses in arts and sciences which parallel the lower division offerings of four-year colleges and universities.
o Quality technical programs leading directly to careers in semi-skilled and skilled occupations, and quality technical education programs up to two years in length leading to certificates and associate degrees.
o Quality programs and services in support of adult literacy and basic skills development as a mean of workforce enhancement and expanding access to higher education.
PROGRAM PURPOSE STATEMENT
NCTC seeks to implement its goal of offering quality general education curriculum in all associate degrees by offering a core of general education courses designed to help students achieve academic, career and lifelong goals. Acquiring knowledge, thinking critically, and utilizing the methodologies of various disciplines exposed students to experiences that serve to advance their personal growth. The chief focus of the General Education Core Curriculum at NCTC is to emphasize Exemplary Educational Objectives and Basic Intellectual Competencies.
DEPARTMENTAL PURPOSE STATEMENT
NCTCs Mathematics and Physics Department will teach courses that enable students to solve abstract and concrete problems within a logical system in order to aid students in the pursuit of their academic, professional, and civic goals.
STATEMENT OF SKILLS AND KNOWLEDGE EXPECTED OF NCTC GRADUATES
NCTC seeks to implement its goal of offering a core of general education courses designed to help students achieve academic, career and lifelong goals. The chief focus of the General Education Core Courses at NCTC is to emphasize basic intellectual competencies and broad intellectual perspectives.
CORE CURRICULUM COMPONENT AREA
The overall objective of the Mathematics component area is to develop a quantitatively literate college graduate. Every college graduate should be able to apply basic mathematical tools in the solution of real-world problems.
MATHEMATICS: EXEMPLARY EDUCATIONAL OBJECTIVES (EEOs)
x (M1) To apply arithmetic, algebraic, geometric, higher-order thinking, and statistical
method to modeling and solving real-world situations.
x (M2) To represent and evaluate basic mathematical information verbally, numerically,
graphically, and symbolically.
x (M3) To expand mathematical reasoning skills and formal logic to develop convincing
mathematical arguments.
x (M4) To use appropriate technology to enhance mathematical thinking and understanding
and to solve mathematical problems and judge the reasonableness of the results.
x (M5) To interpret mathematical models such as formulas, graphs, tables and schematics, and draw inferences from them.
x (M6) To recognize the limitations of mathematical and statistical models.
x (M7) To develop the view that mathematics is an evolving discipline, interrelated with
human culture, and to understand its connections to other disciplines.
STUDENT LEARNING OUTCOMES
EEOStudent Learning Outcome At the successful completion of this course the student will be able to:M1-7Develop solutions for tangent and area problems using the concepts of limits, derivatives, and integralsM1-7Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.M1-7Determine whether a function is continuous and/or differentiable at a point using limits.M1-7Use differentiation rules to differentiate algebraic and transcendental functions.M1-7Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.M1-7Evaluate definite integrals using the Fundamental Theorem of Calculus.M1-7Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.
GENERAL DESCRIPTION OF SUBJECT MATTER FOR EACH LECTURE/DISCUSSION
TopicGeneral Description of Subject MatterCalculus IDevelop solutions for tangent and area problems using the concepts of limits, derivatives, and integralsCalculus IDraw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.Calculus IDetermine whether a function is continuous and/or differentiable at a point using limits.Calculus IUse differentiation rules to differentiate algebraic and transcendental functions.Calculus IIdentify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.Calculus IEvaluate definite integrals using the Fundamental Theorem of Calculus.Calculus IArticulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.
BASIC INTELLECTUAL COMPETENCIES FOR THIS COURSE
o READING Reading at the college level means the ability to analyze and interpret a variety of printed materials books, articles and documents. A core curriculum should offer students the opportunity to master both general methods of analyzing printed materials and specific methods for analyzing the subject matter of individual disciplines.
o WRITING Competency in writing is the ability to produce clear, correct, and coherent prose adapted to purpose, occasion, and audience. Although correct grammar, spelling, and punctuation are each a sine qua non in any composition, they do not automatically ensure that the composition itself makes sense or that the writer has much of anything to say. Students need to be familiar with the writing process including how to discover a topic and how to develop and organize it, how to phrase it effectively for their audience. These abilities can be acquired only through practice and reflection.
o SPEAKING Competence in speaking is the ability to communicate orally in clear, coherent, and persuasive language appropriate to purpose, occasion, and audience. Developing this competency includes acquiring poise and developing control of the language through experience in making presentations to small groups, to large groups, and through the media.
o LISTENING Listening at the college level means the ability to analyze and interpret various forms of spoken communication.
x 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. Problem solving is one of the applications of critical thinking, used to address an identified task.
o COMPUTER LITERACY Computer literacy at the college level means the ability to use computer-based technology in communicating, solving problems, and acquiring information. Core-educated students should have an understanding of the limits, problems, and possibilities associated with the use of technology, and should have the tools necessary to evaluate and learn new technologies as they become available.
Last day to Withdraw
For the Fall 2013 semester, the last day to withdraw from a course with a W is November 16, 2013.
Student Rights & Responsibilities
NCTC Board policy FLB (Local) Student Rights and Responsibilities states that each student shall be charged with notice and knowledge of the contents and provisions of the rules and regulations,/0145:;BCHIV^fgn}
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lapyt concerning student conduct. These rules and regulations are published in the Student Handbook published in conjunction with the College Catalog. All students shall obey the law, show respect for properly constituted authority, and observe correct standards of conduct.
Scholastic Integrity
Scholastic dishonesty shall constitute a violation of college rules and regulations and is punishable as prescribed by Board policies.
Scholastic dishonesty shall include, but not be limited to cheating on a test, plagiarism, and collusion.
STUDENT SUPPORT SERVICES
Disability AccommodationsThe Office for Students with Disabilities (OSD) provides accommodations for students who have a documented disability. A disability is anything that can interfere with learning, such as a learning disability, psychological challenge, physical illness or injury. Accommodations may include extra time on tests, tests in a distraction reduced environment, volunteer note taker in class, etc.
On the Corinth Campus, go to room 170 or call 940-498-6207. On the Gainesville Campus, go to room 110 in the Administration (100) Building or call 940-668-4209. Students on the Bowie, Graham, Flower Mound, and online campuses should call 940-668-4209 to arrange for an intake appointment with OSD.
North Central Texas College is on record as being committed to both the spirit and letter of federal equal opportunity legislation, including the Americans with Disabilities Act (ADA) of 1990, ADA Amendments Act of 2009, and Section 504 of the Rehabilitation Act of 1973 (P.L. 93-112).
Student Success Center
The Student Success Center is designed to help all students at NCTC develop tools to achieve their academic goals. The center links students to FREE tutoring, including a Writing Center, a Math Lab, and free online tutoring in the evening. The program helps students acclimate to college by providing students free interactive workshops about Time Management, Study Skills, Test Anxiety, and much more. For more information, please visit your nearest HYPERLINK "http://www.nctc.edu/Student_Services/Access/AcademicandStudentSupportServices.htm" Student Success Center.
Financial Aid, Scholarships, and Veterans Services
Tobacco-Free CampusThe Financial Aid Office is responsible for administering a variety of programs for students who need assistance in financing their education. The first step for financial aid is to complete a FAFSA. For more information, please visit your nearest HYPERLINK "http://www.nctc.edu/Student_Services/FinAid/finaid.html" Financial Aid Office.
NCTC restricts the use of all tobacco products including cigarettes, cigars, pipes and smokeless tobacco on campus property. NCTC is aware that tobacco use influences underage students which cumulates unsightly tobacco litter and interferes with assuring clean air for all who come to NCTC. NCTC recognizes the health hazards of tobacco use and of exposure to second hand smoke. Information on a tobacco cessation program is available for students, faculty, staff who wish to stop using tobacco products. We would like to "thank you" for your help in making our campuses Tobacco-Free. For questions or concerns please contact the Office of Vice President of Student Services at 940.668.4240.
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