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Course Criteria
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3.00 Credits
This course introduces an overview of the mathematics important in posing, communicating, and solving relevant quantitative problems. Concepts will be emphasized for their essential role in solving problems encountered in the modern professional world and in other academic fields with emphasis on theoretical, logical and technological methods. Specific topics form the fields of algebra, number theory, finance, probability, and statistics will be explored. Course Objectives Upon successful completion of the course, students should be able to: (1) Use mathematical methods to solve real-world problems. (2) Communicate mathematical problems, equations, and ideas conceisely in written form including conventional symbols and in oral form. (3) Ascertain the connection between mathematics and other fields of study. (4) Interpret quantitative data and mathematical models such as formulas, graphs, tables, and schematics, and use them to draw conclusions and make inferences. (5) Evaluate reasonableness in proposed quantitative solutions.
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3.00 Credits
A general mathematics course dealing with topics such as descriptive statistics/probability, geometry, estimation/measurement, percents/decimals/rational numbers, as well as other selected topics. Course Objectives (1) Apply reasoning and problem solving skills to solve challenges created by real-world problems. (2) Identify and articulate problems from situations inside and outside the realm of mathematics. (3) Simplify algebraic expressions. (4) Solve linear equations and systems of linear equations. (5) Employ ratio, proportions and variations to solve problems. (6) Create graphs of linear functions. (7) Identify and solve quadratic functions. (8) Measure length, area, volume, weight, and temperature in both the metric and English systems. (9) Identify appropriate units of measure. (10) Define points, lines, planes, and angles. (11) Investigate the properties of triangles. (12) Calculate perimeter, circumference, area, and volume of various polygons. (13) Translate mathematical problems, equations, and ideas into written expressions. (14) Understand applicable math rhetoric. (15) Explore the connection between mathematics and students field of study.
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3.00 Credits
Basic algebra including fundamental operations on numbers and polynomials, linear equations and inequalities, the Cartesian coordinate system and graphs, and systems of two linear equations. Also factoring techniques, fractions, fractional equations and laws of integer exponents. Course Objectives (1) Identify real numbers and their related properties. (2) Solve linear equations including word problems generated by real-world situations. (3) Solve linear inequalities. (4) Recognize and transform between the three basic forms for equations of straight lines in a plane. (5) Graph equations of straight lines in a plane. (6) Solve systems of equations in two and three variables using basic methods. (7) Apply rules of exponents. (8) Manipulate scientific notation. (9) Perform fundamental operations and factor polynomials.
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3.00 Credits
Data analysis and charts, rules of probability, conditional probability, distributions, random variables, sampling, confidence interval estimates, hypothesis testing, regression and correlation. Students enrolling in this course should have a background in college preparatory algebra, including high school Algebra I and Algebra II or equivalent. Course Objectives Upon successful completion of the course, students should be able to: (1) Define statistical terms and concepts. (2) Create and analyze frequency distributions with emphasis on the attributes of central tendency and spread. (3) Represent and interrelate statistical information numerically, symbolically, and visually using appropriate technology. (4) Apply the fundamental rules of probability including the use of counting techniques. (5) Construct and analyze probability distributions. (6) Apply mathematical and statistical models such as formulas or functions. (7) Compute confidence intervals and test hypotheses and draw appropriate conclusions. (8) Analyze statistical correlation.
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3.00 Credits
This college level algebra course includes the study of linear, polynomial, rational, radical, quadratic, exponential, and logarithmic functions and their graphs. Other topics include inequalities, factoring, systems of equations, complex numbers, and applications. Students enrolling in this course should have a background in college preparatory algebra, including high school Algebra I and Algebra II or equivalent. Course Objectives Upon successful completion of the course, students should be able to: (1) Solve linear, radical, and quadratic equations and inequalities in one variable and apply them to real-world problems. (2) Manipulate and evaluate equations involving polynomial and rational functions and apply them to real-world problems. (3) Identify and model exponential and logarithmic functions and apply them to real-world problems. (4) Construct and interpret graphs of functions using the rectangular coordinate system. (5) Determine and analyze the characteristics of various functions algebraically, graphically, numerically, and/or verbally. (6) Solve systems of linear equations and interpret the meaning of the solutions by the methods of graphing, substitutions, and elimination.
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4.00 Credits
This course introduces the foundations of analysis necessary to precede the calculus sequence with emphasis on college algebra and trigonometry including the properties and graphs of linear, polynomial, rational, exponential, logarithmic, trigonometric functions and inverse trigonometric functions. It will also include solving equations, trigonometric identities and complex numbers. Prerequisite: College Preparatory Algebra, Geometry and Trigonometry. Course Objectives Upon successful completion of the course, students will be able to: (1) Demonstrate an understanding of the fundamental concept of a mathematical function and all of its properties (domain, range, composition, etc.). (2) Represent and define linear, polynomial, rational, exponential, logarithmic, and trigonometric functions numerically, symbolically, graphically, and verbally. (3) Solve linear, polynomial, rational, exponential, logarithmic, and trigonometric equations and problems using real-world applications. (4) Verify and apply trigonometric identities and formulas.
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2.00 Credits
PRE: College Preparatory Algebra and Geometry Course Description Includes trigonometric functions, inverse functions, trigonometric identities, reduction formulas, half and double angle formulas, solutions of triangles and other applications. Course Objectives (1) Identify and apply problem solving skills to solve challenges created by real-world problems. (2) Define the six trigonometric functions in terms of a right triangle and in terms of an angle in standard position given a point on the terminal side of the angle. (3) Relate the circular function definitions and the unit circle to the trigonometric function definitions. (4) Use a calculator to find the values of the trigonometric functions for any angle and to find the measure of an angle given the value of one of its trigonometric functions. (5) Convert angle measures between degrees, DMS, and radians. (6) Verify trigonometric identities by making substitutions and recalling basic identities. (7) Solve trigonometric equations. (8) Find the values of inverse trigonometric functions. (9) Solve practical problems involving triangles using the trigonometric functions, the Pythagorean Theorem, the Law of Sines, and the Law of Cosines. (10) Recognize and find restrictions for the graphs of the six trigonometric functions and the inverse trigonometric functions. (11) Develop and use formulas such as sum and difference of two angles, double-angle, and half-angle. (12) Understand and use vectors and complex numbers. (13) Translate mathematical problems, equations, and ideas into written expressions.
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4.00 Credits
Functions and limits, the derivative and its significance, differentiation of algebraic functions, applications to rate of change and optimization problems; the integral, area, averages and elementary integration techniques. Prerequisites: College Preparatory Algebra and Trigonometry. Course Objectives Upon successful completion of the course, students should be able to: (1) Identify and evaluate functions. (2) Understand and evaluate limits. (3) Define and interpret the significance of the derivative. (4) Evaluate the derivative of algebraic functions. (5) Solve optimization and rate of change problems using the derivative. (6) Define and interpret the significance of the integral. (7) Evaluate integrals using elementary integration techniques. (8) Calculate area and averages using integration.
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3.00 Credits
No course description available.
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4.00 Credits
Basic applications of the integral, derivative and integral of exponential, log and trigonometric function, techniques of integration, indeterminate forms.Prerequisite MATH 190 Course Objectives (1) State and apply the Fundamental Theorem of Calculus. (2) Differentiate and integrate functions that are algebraic combinations and composites of algebraic functions, exponential and logarithmic functions, trigonometric functions, and inverse trigonometric functions. (3) Use integration to calculate areas, averages, present value, logistic growth optimization problems, and probability density functions. (4) Make use of standard techniques of integration: algebraic substitution, trigonometric substitution, partial fractions, and integration by parts. (5) Evaluate improper integrals. (6) Evaluate limits of indeterminate forms using L'Hopital's rule and evaluate improper integrals. (7) Use integration to calculate surfaces in space. (8) Make use of double integrals to calculate area in the plane and volume of a solid region. (9) Apply convergence tests to numerical series and power series. (10) Determine the Taylor series for functions.
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