PELLISSIPPI STATE TECHNICAL COMMUNITY COLLEGE MASTER SYLLABUS
CALCULUS I MATH 1910 (formerly MTH 1410)
Class Hours:  4.0							Credit Hours:  4.0
Laboratory Hours:  0.0							Date Revised:  Spring 03
Catalog Course Description:
	Single variable calculus for students majoring in science, mathematics, engineering, and  computer science.  Limits and differentiation of polynomial, rational, trigonometric, exponential and logarithmic functions and their applications.
Entry Level Standards:
	A thorough knowledge of algebraic and trigonometric functions is necessary for entrance  to this course. ACT score of at least 26 is recommended.
Prerequisites:
	High school algebra I and algebra II, and one year of geometry, and trigonometry, and satisfactory placement test scores; or MATH 1730
Textbook(s) and Other Reference Materials Basic to the Course:
	Textbook: Stewart, James.  Calculus:  Concepts and Contexts, 2nd ed., Brooks/Cole Publishing Co., 2001. References: Dick and Patton.  Calculus,  PWS Publishing Co., 1995 Johnston, Elgin H. And Jerold C. Mathews.  Calculus for Engineering and the Sciences.   Harper Collins College Publishers, 1996 Hughes-Hallet, Andrew Gleason et. al., Calculus.  John Wiley & Sons, Inc., 1994 Ostebee and Zorn.  Calculus from Graphical, Numerical and Symbolic Points of View.   Saunders College Publishing, 1997 Swokowski, Olinick, Pence.  Calculus and Analytic Geometry.  PWS Publishing Co., 1994. Technology Requirements: A graphing calculator is required.
I. Week/Unit/Topic Basis:
Included in the topics listed below are projects.  The text has a variety of laboratory, writing, and discovery projects which students may be asked to complete either individually or in groups.  Some instructors may use other projects.  The selection, timing, and the manner of presentation of the projects is to be determined by the instructor.
	Week					Topic
	1					Introduction, four ways to represent a function, types of functions, transformations and operations with functions, parametric curves, exponential, inverse, and logarithm functions, modeling and curve fitting.  1.1 - 1.7
	2					Tangent and velocity problems, limits of functions   2.1-2.2
	3					Computations of limits, continuity, limits involving infinity   2.3- 2.5
	4					Rates of change, project, review, Test 1    2.6
	5					Derivatives and linear approximations    2.7-2.9
	6					Antiderivatives, graphing, extracting information about the function f from the derivatives of the function,  project, review, Test  2     2.10
	7					Differentiation of polynomial and exponential functions, product and quotient rules, rates of change    3.1- 3.3
	8					Derivatives of trig functions, chain rule  3.4-3.5
	9					Implicit differentiation, derivatives of logarithmic functions, linear approximations and differentials    3.6-3.8
	10					Linear approximations, differentials,  review, project, Test 3     3.8
	11					Related rates, optimization of a function on a closed interval    4.1-4.2
	12					First and second derivative tests to locate extrema, increasing/decreasing test, test for concavity, graphing, l=Hospital's rule  4.3-4.5
	13					Applied optimization problems   4.6
	14					Newton's method, antiderivatives, introduction to differential equations, direction fields  4.8-4.9 (4.9 is optional.)
	15					Project, review, Test 4.
	16					Final Exam.
II. Course Objectives*:
	A.			Become familiar with all descriptive aspects of a function. VI.3
	B.			Understand the concept of and be able to evaluate a limit of a function. VI.3
	C.			Calculate derivatives of algebraic and transcendental functions.  VI.3
	D.			Learn how to pose real and technical problems mathematically.  VI.2,3,4
	E			Learn how to apply limits and derivatives to solve real and technical problems.       VI.3,4
	F.			Learn how to interpret and communicate mathematical problems and their      solutions into clearly written English.   VI.1,5
*Roman numerals after course objectives reference goals of the university parallel program.
III. Instructional Processes*:
Students will:
	1.				Use graphing calculator and/or computer software to analyze and provide solutions to mathematically posed problems.  Technological Literacy   Outcome
	2.				Actively explore real world problems through projects such as B'ezier curves to aid in computer aided design.  Numerical Literacy Outcome, Active Learning   Strategy, Transitional Strategy
	3.				Translate analytical information into graphical representations.  Communication      Outcome, Problem Solving and Decision Making Outcome, Technological   Literacy Outcome
	4.				Use multiple approaches such as physical, numerical, graphical, symbolic and   verbal to solve application problems in physics, biology, engineering, and  computer science.   Transitional Strategy, Numerical Literacy Outcome
	5.				Learn to use the tools of calculus to study the phenomenon of change between different variables. Problem Solving and Decision Making Outcome,   Technological Literacy Outcome, Communication Outcome, Numerical Literacy Outcome
*Strategies and outcomes listed after instructional processes reference Pellissippi State's goals for strengthening general education knowledge and skills, connecting coursework to experiences beyond the classroom, and encouraging students to take active and responsible roles in the educational process.
IV. Expectations for Student Performance*:
Upon successful completion of this course, the student should be able to:
	1.			Determine what a function is and work comfortably with functional notation.  A
	2.			Evaluate limits and derivatives of algebraic and transcendental functions using   analytic, numerical and graphing techniques.  Evaluate the derivative of a function using the (limit) definition.  B, C
	3.			Graph a function using the concepts of symmetry, domain, shifting and stretching,   along with information gathered from limits, the function's derivative and the aid   of a graphing calculator and/or computer software.  A, E
	4.			Recognize a continuous function.  Classify the different types of discontinuities  using analytical and graphing means.  B
	5.			Use derivatives to solve problems such as distance - velocity - acceleration,  related rate and optimization problems.  E
	6.			Read and interpret graphs, limits and derivatives which are used in applied  settings and communicate that analysis in writing.  F
	7.			Work with technology and special projects involving real world data which enhances the conceptual understanding and usefulness of mathematics.  D, F
*Letters after performance expectations reference the course objectives listed above.
V. Evaluation:
	A. Testing Procedures:
			Students are evaluated on the basis of tests, projects, homework, quizzes, and a comprehensive final exam.  A minimum of four major tests are recommended.
	B. Laboratory Expectations:  None
	C. Field Work:  None
	D. Other Evaluation Methods:  None
	E. Grading Scale:
		93% - 100%    A 88 - 92             B+ 83 - 87             B 78 - 82             C+ 70 - 77             C 60 - 69             D Below 60        F
VI. Policies:
	A. Attendance Policy:
		Pellissippi State Technical Community College expects students  to attend all scheduled instructional activities. As a minimum, students in all courses  must be present for at least 75 percent of their scheduled class and laboratory meetings in  order to receive credit for the course. Individual departments/programs/disciplines, with  the approval of the vice president of Academic and Student Affairs, may have  requirements that are more stringent.
	B. Academic Dishonesty:
		Individual instructors must distribute their policy on academic  dishonesty during the first week of class.