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COURSE OUTLINE FOR COLLEGE MATHEMATIC

A.	COURSE NUMBER AND TITLE:	MT125 – COLLEGE MATHEMATICS
B.	CURRICULUM:	Mathematics/Computer Science Unit Offering
C.	CATALOG DESCRIPTION:	(C, N, S) (4, 0) 4 Credits The first course in a two-semester sequence of college algebra and trigonometry. The sequence is preparatory for an introductory or survey level of calculus. Basic Algebra skills are reviewed and extended. Functions, in general, and their inverses are studied along with the properties, graphs and transformations of linear, quadratic absolute value, radical rational, logarithmic and exponential functions. Equations of the above functions as well as linear systems of equations and linear and absolute value inequalities are solved. Related application problems are incorporated throughout. Prerequisite: MT007 or MT013 or equivalent, and appropriate mathematics level code. Level code is determined by Mathematics Department placement test and/or successful completion of mathematics courses.

D.	DURATION OF INSTRUCTIONAL PERIOD:	Two hundred minutes per week for fifteen (15) weeks.
E.	ACADEMIC CREDIT HOURS:	Four (4) credit hours.
F.	SUGGESTED TEXT/ COURSE MATERIALS:	See individual campus Book Specific Outline. A scientific Calculator with yx and logarithmic functions will be required. Use of a graphing calculator will be optional.
G.	COURSE OUTCOMES:	Upon completion of this course, the student will be able to: 1. Apply the concepts of the real number system and the properties of real numbers. 2. Simplify and perform the fundamental operations (addition, subtraction, multiplication, and division) on real numbers, polynomials, and radical expressions; and simplify complex fractions. 3. Solve linear, quadratic, (inc. imaginary roots), absolute value, radical, exponential and logarithmic equations. 4. Solve linear and absolute value inequalities. 5. Interpret, set up and solve problems involving direct, inverse and joint variation. 6. Define function and determine whether a given relation is a function. 7. Evaluate a given function, use function notation, perform operations on functions, and the composition of functions. 8. Ascertain when a function has an inverse and be able to compute the inverse when it exists. 9. Graph, interpret the graph of functions and transformation of functions—including linear, absolute value, quadratic, cubic, radical, simple rational, exponential and logarithmic. 10. Solve systems of equations in 2 and 3 variables 11. Interpret and apply the properties of exponential and logarithmic functions. 12. Solve word problems that involve the use of linear, quadratic, exponential and logarithmic functions and systems of linear equations. 13. TECHNOLOGY OBJECTIVES: Students will be able to demonstrate proficiency with a scientific calculator in performing the following skills: a. Evaluating functions, various roots and exponents b. Find Log x, Lnx and e^x c. Solve exponential and logarithmic equations

H.	PROGRAM COMPETENCIES:	(SEE J. ECC GRADUATE LEARNING OUTCOMES)
I.	SUNY General Education Ten Knowledge Areas:	• Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics Related Course Outcomes: 5, 6, 8, 9, 10, 11, 12 • Represent mathematical information symbolically, visually, numerically and verbally Related Course Outcomes: 3-9, 11, 12 • Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems Related Course Outcomes: 1-5, 7, 8, 10, 12, 13 • Estimate and check mathematical results for reasonableness Related Course Outcomes: 3, 5, 8, 12 • Recognize the limits of mathematical and statistical methods Related Course Outcomes: 3, 6, 8, 10, 11

J.	ECC Graduate Learning Outcomes (GLO):	1. Apply appropriate mathematical procedures and quantitative methods Related Course Outcomes: 1-13
K.	ASSESSMENT OF STUDENT LEARNING:	Assessment of the individual student learning outcomes will be measured by: 1. Minimum of four 50-minute tests that measure the objectives. 2. Optional final exam that tests the course objectives.
L.	LIBRARY RESOURCES:	Option of the instructor.
M.	TOPICAL OUTLINE:	INSTRUCTIONAL PERIODS:
	I. Real Number System a. Basic concepts of real numbers b. Fundamental operations (addition, subtraction, multiplication, and devision) of real numbers c. Properties of real numbers	0.5 week

	II. Exponents and Radicals a. Rules of exponents b. Fundamental Operations of radicals c. Relationship between exponents and roots d. Operations with complex numbers	1.5 weeks

	III. Fundamental Algebraic Operations a. Factoring and fundamental operations involving polynomials b. Simplification of rational expressions and complex fractions c. Fundamental operations involving rational expressions	2 weeks

	IV. Equations a. Linear 1. Solving Linear equations 2. Solving linear inequalities 3. Applications i. Word problems ii. Formulas b. Quadratic 1. Methods of Solving Quadratic Equations i. Factoring ii. Completing the square iii. Quadratic formula 2. Applications c. Miscellaneous Equations 1. Solving radical equations 2. Solving Equations in quadratic form 3. Solving equations with rational exponents d. Absolute value equations and Inequalities	3.5 weeks

	V. Functions a. Concept of a function b. Operations involving functions 1. Fundamental operations 2. Composition 3. Inverse c. Variation d. Symmetry e. Graphing and transformations (shifting, stretching, shrinking and reflecting of the basic graphs) 1. Linear functions i. slope perpendicular and parallel ii. intercepts 2. Quadratic and Cubic Functions 3. Reciprocal Function 4. Square Root Functions 5. Absolute Value Functions 6. Piece-wise Functions	3 weeks

	VI. Exponential and Log Functions a. Definition of exponential and log functions b. Properties of exponential and log functions c. Graphing of exponential and log functions d. Fundamental operations involving log functions e. Exponential and logarithmic equations f. Applications of exponential and log equations	2.5 weeks

	VII. Systems of Linear Equations a. Solve linear equations in two variables algebraically and graphically b. Solving linear equations in three variables algebraically c. Cramer’s Rule (optional) d. Applications to word problems	1 week

	VIII. Evaluation	1 week
N.	PREPARED BY:	C. Curley, D. Malczewski, L. Kuroski, J. Pirie, D. Doucette, S. Metwali

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