# Noncredit Mathematics

## ### Course and Certificate Information

• Introduces students to essential arithmetic skills involving fractions, mixed numbers, and decimals. Successful completion of this certificate will help in preparing students for essential pre-algebra skills.

Certificate Student Learning Outcome: Students will be able to solve mathematical problems using essential arithmetic operations and conversions involving whole numbers, fractions, mixed numbers, and decimals

• NC.MATH 001 WHOLE NUMBERS: 6.00 – 10.00 hours Introduces the basic elements of the system of whole numbers and their operations. The first in the sequence of noncredit developmental mathematics modules designed to prepare and provide support for transferlevel mathematics and science courses.
• NC.MATH 002 FRACTIONS AND MIXED NUMBERS: 6.00 – 10.00 hours Introduces the basic elements of fractions, mixed numbers, and their operations. The second in the sequence of noncredit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH 003 DECIMAL NUMBERS: 6.00 – 10.00 hours Introduces the basic elements of the system of decimal numbers and their operations. The third in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transferlevel mathematics and science courses.
• Introduces students to essential pre-algebra skills involving rates, proportions, and percentages. Successful completion of this certificate will help students solve practical problems in every-day applications of mathematics.

Certificate Student Learning Outcome: Students will be able to solve mathematical problems using essential pre-algebra operations involving rates, proportions, and percentages.

• NC.MATH-004  Percentages: 6.00 – 10.00 hours Introduces the basic concepts of percentages and their applications. The forth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science course.
• NC.MATH-005  Rates and Proportions: 6.00 – 10.00 hours Introduces methods of solving problems involving rates, proportions, and other applications. The fifth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH-006  Signed Numbers: 6.00 – 10.00 hours Introduces the system of integers and operations involving positive and negative numbers. The sixth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• Introduces students to essential introductory algebra skills involving algebraic expressions, linear equations, graphs, and systems. Successful completion of this certificate will help students with basic concepts and prepare them for further and transfer-level mathematics courses

Certificate Student Learning Outcome: Students will be able to solve mathematical problems using algebra operations, linear equations, and linear graphs.

• NC.MATH-007   Algebraic Expressions: 6.00 – 10.00 hours Introduces the basic concepts of algebraic expressions and their operations. This is the seventh in the sequence of
non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH-008   Graphs and Lines: 6.00 – 10.00 hours Introduces the basic elements of the coordinate plane, graphs, and equations of lines. This is the eighth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH 009  LINEAR SYSTEMS: 6.00 – 10.00 hours Introduces the basic techniques used in solving linear systems of equations. This is the ninth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• Introduces students to essential intermediate algebra skills involving exponents, polynomials, and rational expressions/ equations. Successful completion of this certificate will help students prepare for transfer level mathematics courses.

Certificate Student Learning Outcome: Students will be able to solve mathematical problems using exponents, polynomials, and rational expressions/equations.

• NC.MATH 010 EXPONENTS AND POLYNOMIAL OPERATIONS: 6.00 – 10.00 hours Introduces the basic properties of exponents and polynomial operations. This is the tenth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH 011 FACTORING POLYNOMIALS: 6.00 – 10.00 hours Introduces the basic techniques for factoring polynomials. This is the eleventh in the sequence of non-credit
developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH 012 RATIONAL EXPRESSIONS AND EQUATIONS: 6.00 – 10.00 hours Introduces how to simplify rational expressions and solve rational equations. This is the twelfth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses
• Introduces students to essential intermediate algebra skills involving relations, functions, graphs, absolute value equations/inequalities, radicals, and rational expressions. Successful completion of this certificate will help students prepare for transfer level mathematics courses.

Certificate Student Learning Outcome: Students will be able to solve mathematical problems involving relations, functions, graphs, absolute value equations/inequalities, radicals, and rational expressions.

• NC.MATH 013 RELATIONS, FUNCTIONS, AND GRAPHS: 6.00 – 10.00 hours Introduces the basic techniques used for Relations, Functions, and Graphs. This is the thirteenth in the
sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH 014 ABSOLUTE VALUE EQUATIONS AND INEQUALITIES: 6.00 – 10.00 hours Introduces the basic techniques used in solving Absolute Value Equations and Inequalities. This is the fourteenth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH 015 RADICALS AND RATIONAL EXPONENTS: 10.00 – 14.00 hours Introduces the basic techniques for performing various operations involving radicals and rational exponents This is the fifteenth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• Introduces students to essential intermediate algebra skills involving quadratic, exponential, and logarithmic equations/ functions. Successful completion of this certificate will help students prepare for transfer level mathematics courses.

Certificate Student Learning Outcome: Students will be able to solve mathematical problems involving quadratic, exponential, and logarithmic equations/functions.

• NC.MATH 016 QUADRATIC EQUATIONS AND FUNCTIONS: 8.00 – 12.00 hours Introduces the basic techniques used in solving quadratic equations with a variety of methods and graphing quadratic functions. This is the sixteenth in the sequence of noncredit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH 017 EXPONENTIAL AND LOGARITHMIC FUNCTIONS: 8.00 – 12.00 hours Introduces the basic techniques used in analyzing exponential and logarithmic functions. This is the seventeenth course in the sequence of non-credit developmental mathematics modules is designed to prepare and provide support for transfer-level mathematics and science courses.
• Introduces students to essential intermediate algebra skills involving conics, sequences, and series. Successful completion of this certificate will help students prepare for transfer level mathematics courses.

Certificate Student Learning Outcome: Students will be able to solve mathematical problems involving conics, sequences, and series.

• NC.MATH 018 CONIC SECTIONS: 6.00 – 10.00 hours Introduces the basic techniques used in analyzing conics. This is the eighteenth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses.
• NC.MATH 019 SEQUENCES AND SERIES: 6.00 – 10.00 hours Introduces the basic techniques used in analyzing sequences and series. This is the nineteenth in the sequence of non-credit developmental mathematics modules designed to prepare and provide support for transfer-level mathematics and science courses

For Questions Call 661-362-3304 or email PPL@canyons.edu