PELLISSIPPI STATE TECHNICAL COMMUNITY COLLEGE MASTER SYLLABUS
PRECALCULUS MATH 1730 (formerly MTH 1020)
Class Hours: 5.0							Credit Hours: 5.0
Laboratory Hours: 0.0							Date Revised: Spring 03
Catalog Course Description:
	Precalculus for students in university parallel/transfer programs of science, mathematics, engineering or computer science. This course prepares students for Calculus I. Review of algebraic, trigonometric, logarithmic and exponential functions. Topics include systems of equations and inequalities, maximization, ; trigonometric definitions, graphs, equations and identities, ; exponential and logarithmic functions and complex numbers.
Entry Level Standards:
	Students must be able to read at the college level.
Prerequisites:
	High school algebra I and algebra II and ACT math score of at least 19; or DSPM 0850 or equivalent math placement score
Textbook(s) and Other Reference Materials Basic to the Course:
	Textbook: Stewart, Redlin, and Watson. Algebra and Trigonometry. First Edition. Brooks/Cole, Pacific Grove, California, 2001 References: Larson, Hosteller and Edwards.  Precalculus Functions and Graphs.  Second Edition.  Houghton Mifflin Company, Boston, Massachusetts, 1997.  Personal Equipment: A graphics calculator is required for this course.  A symbolic manipulator such as the TI-89 or  TI-92 is not permitted.
I. Week/Unit/Topic Basis:
	Week					Topic
	1					The Cartesian plane, graphs and graphing utilities, lines in the plane, solving equations and  inequalities. Complex numbers. Modeling using regression. Sections from Chapters 2,3.
	2					Review, Test 1, functions and graphs of functions.  4.1 - 4.2
	3					Applied functions: variation; average rate of change.  4.3-4.4
	4					Transformation of functions , combining functions, inverses, modeling quadratic functions. 4.5-4.8, Focus on Modeling,  Test 2
	5					Polynomials functions,  real zeros of polynomials 5.1-5.3
	6					The fundamental theorem of algebra, rational functions and graphs of  rational functions.  5.4-5.5 , Test 3
	7					Exponential and logarithmic functions.  6.1 - 6.3
	8					Logarithmic equations and exponential equations.  6.4 - 6.5
	9					Applications of exponential and logarithmic functions; modeling, 6.6, Test 4
	10					Radians and degrees,  right triangle trigonometry and trigonometric functions of any angle.  7.1 - 7.3
	11					The law of sines and the law of cosines.  7.4-7.5, Test 5
	12					Unit circle, trigonometric  functions of real numbers, trigonometric graphs 8.1-8.4, Test 6
	13					Verifying trigonometric identities, add/subtract, double-angle, half-angle, product-sum formulas 9.1-9.3
	14					Inverse trigonometric functions, solving trigonometric equations 9.4-9.5
	15					Trigonometric form of complex numbers and vectors 9.6-9.7, Test 7
	16					Review, Final Exam
II. Course Objectives*:
	A.			Demonstrate mastery of the algebraic, geometric, and trigonometric manipulation skills necessary for success in the engineering technologies and transfer programs.  VI.2,3
	B.			Use and interpret function notation and concepts.  VI.2,3
	C.			Interpret algebraic and trigonometric graphs.  VI.1,2,3
	D.			Use the elementary trigonometric functions in solving right and oblique triangle    problems.  VI. 2,3,5
	E.			Apply triangle laws to the solution of vector problems.  VI.2,3,5
	F.			Translate verbal situations into an algebraic or trigonometric equation by using    appropriate problem-solving techniques.  VI.2,3
	G.			Solve and apply exponential and logarithmic equations.  VI.2,3,4,5
	H.			Demonstrate mastery of  complex number arithmetic and equation solving.  VI.3,4
	I.			Use elementary trigonometric identities to solve equations.  VI.2,3,5
	J.			Fit data by modeling.  VI.1,2,3,4
*Roman numerals after course objectives reference goals of the university parallel program.
III. Instructional Processes*:
Students will:
	1.				Work in teams to solve problems involving modeling.  Communication Outcome, Numerical Literacy Outcome, Active Learning Strategy, Problem Solving and Decision Making Outcome
	2.				Employ graphics calculators and/or computer software as tools for solving    trigonometric equations. Technological Literacy Outcome
	3.				Analyze real life problems such as: using trigonometry to find the pitch of roof    and measure the height of objects etc. used in architecture and engineering, using    exponential growth to find the best rate of increase in financial problems and studying population growth in diverse populations, and using exponential decay to find the rate of decay for various radioactive substances used in science and engineering. Problem Solving and Decision Making Outcome, Numerical Literacy Outcome, Transitional Strategy, Cultural Diversity and Social Adaptation Outcome
	4.				Practice personal integrity by being punctual, dependable and cooperative. Personal Development 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.			Compute areas and volumes of simple geometric figures and solids.  A
	2.			Solve elementary algebraic equations and literal formulas.  A
	3.			Translate verbal situations into an algebraic or trigonometric equation by using appropriate problem-solving techniques.  F
	4.			Interpret, graph, and manipulate polynomial and rational functions.  B, C, F
	5.			Solve equations algebraically, trigonometrically, numerically and graphically.  B, C
	6.			Define and use the six trigonometric ratios.  D
	7.			Apply the trigonometric ratios to right triangle problems from geometry and    technology.  D
	8.			Model date mathematically.  J
	9.			Solve fractional and quadratic equations and applications.  A
	10.			Determine trigonometric and inverse trigonometric functional values for any angle measured in degrees and radians.  A, B, D
	11.			Apply radian measure to geometry and technology.  E, F
	12.			Add vectors geometrically and algebraically.  A, D, E
	13.			Use law of sines and cosines to solve oblique triangles.  A, E, F
	14.			Sketch sine and cosine graphs, noting the amplitude, period, and horizontal    displacement.  A, C
	15.			Simplify rational and fractional exponent expressions and convert to radical    equivalent.  A
	16.			Convert from exponential to logarithmic form and vice versa.  A
	17.			Solve exponential and logarithmic equations and work problems.  F, G
	18.			Manipulate and convert between polar and rectangular forms of complex  numbers.  H
	19.			Solve equations involving complex numbers.  H
	20.			Solve radical equations.  A
	21.			Prove trigonometric identities by using the fundamental and double-angle     identities.  A
	22.			Solve conditional trigonometric equations by using identities.  I
*Letters after performance expectations reference the course objectives listed above.
V. Evaluation:
	A. Testing Procedures:
			Students are evaluated primarily on the basis of tests, quizzes, and homework.  A minimum of 5 major tests is recommended.
	B. Laboratory Expectations:
		As assigned by instructor
	C. Field Work:
		As assigned by instructor
	D. Other Evaluation Methods:
		As assigned by instructor
	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 policies on academic dishonesty and calculator  use during the first week of classes.