Mathematics Technology
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Course Description

Math 005 is an introductory-level algebra course. It is designed to equip students with the tools necessary to be successful in college-level mathematics courses. Mathematical readiness, confidence, and productive study habits will be improved after completing this course.

• The course presents the essential characteristics and basic processes of inquiry and analysis in the discipline.
• The course encourages the development of critical thinking skills and requires students to analyze, synthesize, and evaluate
  knowledge.
• The course considers its subjects in relation to other disciplines and to the human condition.
• The course is not limited to majors in any discipline.
• The course does not focus on professional skills.

Learning Outcomes for This Course

• Students will be able to understand and work with integer and rational-number arithmetic, and perform the same operations on
  expressions containing symbols as well as numbers.
• Students will be able to use ratios and rates to solve problems involving fractions, proportions, and percents.
• Students will have been introduced to exponent notation and polynomials, and to graphing on the xy plane.
• Students will be able to solve linear equations and inequalities.
• Students will be able to do all the above starting from English-language as well as symbolic problem descriptions.

Course Description

• Presents the essential characteristics and basic processes of inquiry and analysis in the discipline.
• Encourages the development of critical thinking skills and requires students to analyze, synthesize, and evaluate knowledge.
• Considers its subjects in relation to other disciplines and to the human condition.
• Is not limited to majors in any discipline.
• Does not focus on professional skills.

Learning Outcomes for This Course

• Students will be able to perform operations on polynomial, rational, and radical expressions.
• Students will be able to solve equations and applications involving polynomial, rational, radical, and absolute value expressions.
• Students will be able to graph linear equations.
• Students will be able to solve linear inequalities and applications involving linear inequalities.
• Students will be able to solve systems of linear equations in two variables and relevant applications.

Course Description

This course is intended to give an overview of topics in finite mathematics with applications. This course covers mathematics of finance, logic, set theory, elementary probability and statistics. This course does not provide sufficient background for students who will need to take Precalculus Algebra (Math 112) or Calculus (Math 125).

Learning Outcomes for This Course

Upon successful completion of this course, students will be able to

• Calculate simple and compound interest.
• Calculate future and present value of annuities.
• Apply laws of logic to argument analysis.
• Calculate simple and conditional probability.
• Calculate expected values and variances.

Course Description

This is a course in Precalculus mathematics. The course

• Is computer-assisted, which means students will use the computer (along with the instructor) to complete the course. Evaluation will be based on online homework, four tests, and a comprehensive final exam.
• Presents the essential characteristics and basic processes of inquiry and analysis in the discipline.
• Encourages the development of critical thinking skills and requires students to analyze, synthesize, and evaluate knowledge.
• Considers its subjects in relation to other disciplines and to the human condition.
• Is not limited to majors in any discipline.
• Does not focus on professional skills.

Learning Outcomes for This Course

Upon completion of this course, students will be able to

• Perform operations on polynomial, rational, exponential, and logarithmic functions.
• Graph polynomial, rational, exponential and logarithmic functions using techniques and information gathered about the functions.
• Solve linear, quadratic, exponential, logarithmic, absolute value, and inequality equations.
• Solve systems of equations in two or more variables.

Course Description

This course is a continuation of Math 112. It includes the study of trigonometric and inverse trigonometric functions, as well as extensive work with trigonometric identities and equations. Other topics contained in this course are: polar coordinates, complex numbers, DeMoivre’s Theorems, vectors, and conic sections.

• The course presents the essential characteristics and basic processes of inquiry and analysis in the discipline.
• The course encourages the development of critical thinking skills and requires students to analyze, synthesize, and evaluate
  knowledge.
• The course considers its subjects in relation to other disciplines and to the human condition.
• The course is not limited to majors in any discipline.
• The course does not focus on professional skills.

Learning Outcomes for This Course

Upon completion of this course, students will be able to

• Recognize and use trigonometric functions and their inverses in applications involving right and oblique triangles.
• Graph the trigonometric functions in the rectangular coordinate system.
• Solve trigonometric equations with angles using both radian and degree measure.
• Work with complex numbers in polar form, perform vector operations, and use vectors in applications.
• Recognize and graph conic sections and identify their pertinent components.

Course Description

This is an accelerated combination of MATH 112 and MATH 113 (Algebra and Trigonometry) and is a fast track to
MATH 125 (Calculus I). This course is intended for students with a very strong background in college preparatory mathematics. Evaluation will be based on online homework, four tests, and a comprehensive final exam.

• The course presents the essential characteristics and basic processes of inquiry and analysis in the discipline.
• The course encourages the development of critical thinking skills and requires students to analyze, synthesize, and evaluate knowledge.
• The course considers its subjects in relation to other disciplines and to the human condition.
• The course is not limited to majors in any discipline.
• The course does not focus on professional skills.

Learning Outcomes for This Course

Upon completion of this course, students will be able to

• Understand and graph polynomial, rational, exponential, logarithmic, and trigonometric functions and their inverses.
• Solve linear, quadratic, absolute value, rational, exponential, logarithmic equations and inequalities and trigonometric equations.
• Parabolas, ellipses, and hyperbolas.
• Understand complex numbers in polar form, their powers, and roots.
• Perform vector operations.
• Solve systems of equations.

Course Description and Objectives

This course is intended to give a broad overview of Calculus and is taken primarily by students majoring in Commerce and Business Administration. This course does not provide sufficient background for students who will need higher levels of Calculus.

Note: This course does not satisfy the requirement for Math 125 or 126. Evaluation will be based on online homework, four tests, and a comprehensive final.

• The course presents the essential characteristics and basic processes of inquiry and analysis in the discipline.
• The course encourages the development of critical thinking skills and requires students to analyze, synthesize, and evaluate knowledge.
• The course considers its subjects in relation to other disciplines and to the human condition.
• The course is not limited to majors in any discipline.
• The course does not focus on professional skills.

Learning Outcomes for This Course

Upon completion of this course students will be able to

• Differentiate and integrate algebraic, exponential, logarithmic, and multivariable functions.
• Analyze graphs to determine where the graphs are increasing, decreasing, continuous, and determine the limits of functions.
• Classify values as the minimum or maximum values of functions.
• Calculate the area between two curves.
• Apply the methods taught in this course to real-life business applications.

Course Description and Objectives

This is the first of three courses in the basic calculus sequence. Topics include the limit of a function; the derivative of algebraic, trigonometric, exponential, and logarithmic functions; and the definite integral. Applications of the derivative are covered in detail, including approximations of error using differentials, maxima and minima problems, and curve sketching using calculus. There is also a brief review of selected precalculus topics at the beginning of the course. Degree credit will not be granted for both MATH 121 and MATH 125 or MATH 145.

• Students will be able to find the limits of functions.
• Students will be able to calculate (and simplify) derivatives involving algebraic operations and function compositions of polynomial, rational, exponential, trigonometric, and inverse trigonometric functions.
• Students will be able to apply derivatives to various applications including optimization problems, linear approximation, related rates, and curve sketching.
• Students will be able to calculate (and simplify) integrals using basic techniques of integration, including subsitution.
• Students will be able to use integration to find the area of certain types of planar regions.

Course Description and Objectives

This is the second of three courses in the basic calculus sequence. Topics include vectors and the geometry of space, applications of integration, integration techniques, L’Hopital’s Rule, improper integrals, parametric equations, polar coordinates, conic sections and infinite series.

• Students will demonstrate various techniques of integration including integration by parts, trigonometric substitution, and partial fractions decomposition.
• Students will apply integration techniques to solve a wide range of integration problems.
• Students will determine the convergence or divergence of infinite series.
• Students will employ power series and Taylor series representations of functions.
• Students will use vectors, parametric equations, and polar coordinates within the context of the geometry of space.

Course Description and Objectives

This is the third of three courses in the basic calculus sequence. Topics include: vector functions and motion in space; functions of two or more variables and their partial derivatives; and applications of partial derivatives (including Lagrange multipliers), quadric surfaces, multiple integration (including Jacobian), line integrals, Green’s Theorem, vector analysis, surface integrals and Stokes’ Theorem.

• Students will carry out calculations and graph functions of several variables to demonstrate the multi-dimensional aspects of calculus and its applications.
• Students will develop parametric representations of curves and surfaces and carry out standard calculations using them.
• Students will execute routine calculations of partial derivatives.
• Students will apply partial derivatives to various applied problems such as working with Lagrange multipliers.
• Students will solve multiple integration problems and their applications.
• Students will carry out calculations using basic vector analysis and be able to apply Greens, Stokes, and the divergence theorems.