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This is an archived copy of the 2020-2021 catalog. To access the most recent version of the catalog, please visit https://catalog.nmc.edu.

MTH 23 Beginning Algebra

MTH 23 - Beginning Algebra

Credit Hours: 4, Contact Hours: 4

Division: Science Math

This is a basic course in algebra covering the following topics: operations on integers, rational numbers, numbers in scientific notation, and polynomials; exponent rules; dimensional analysis; solving linear equations; applications of linear equations in geometry, mixture, percents, and motion; graphing and analysis of graphs, particularly lines, in the coordinate plane; factoring; solving quadratic equations by factoring, applications of quadratic equations in geometry, mixture, percents and motion. The course concludes with an introduction to simplifying multiplying and dividing rational expressions and solving proportions. Good math writing form is stressed.

Required Prerequisites: A grade of 2.0 or better in MTH 08 or appropriate placement.

MTH 23 - Beginning Algebra

https://catalog.nmc.edu/course-outlines/mth-23/

Course Description This is a basic course in algebra covering the following topics: operations on integers, rational numbers, numbers in scientific notation, and polynomials; exponent rules; dimensional analysis; solving linear equations; applications of linear equations in geometry, mixture, percents, and motion; graphing and analysis of graphs, particularly lines, in the coordinate plane; factoring; solving quadratic equations by factoring, applications of quadratic equations in geometry, mixture, percents and motion. The course concludes with an introduction to simplifying multiplying and dividing rational expressions and solving proportions. Good math writing form is stressed. Credit Hours 4 Contact Hours 4 Lecture Hours 4 Required Prerequisites A grade of 2.0 or better in MTH 08 or appropriate placement. Course Learning Outcomes Knowledge: Show proper usage of addition, subtraction, multiplication, division, and exponentiation on the integers, fractions, decimals in addition to algebraic expressions. Show proper usage of mathematical properties (Associative, Commutative, and Distributive properties of addition and multiplication) on algebraic expressions. Use properties of integer exponents. Distinguish between an algebraic expression and an equation. Determine the proper usage of mathematical terminology and symbolization associated with: algebraic expression, polynomial expression, like terms, factoring, linear equation, quadratic equation, simplify, solve, unit conversion, scientific notation, Cartesian coordinate system, slope, and intercepts. Use procedures to: combine like terms, evaluate algebraic expressions, simplify expressions, simplify exponents, factor algebraic expressions, solve linear, quadratic, and rational (proportions) equations, graph linear equations, and convert units (dimensional analysis). Represent solutions to equations; conditional, identity, and contradictory. Application: Apply the appropriate procedure in simplifying mathematical expressions, solving equations and/or written applications. Integration: Apply mathematical operations/procedures to problems involving; evaluating and simplifying expressions or solving equations including applications. Human Dimension: Strive to improve areas of mathematical weakness based on feedback. Collaborate with peers during group work. Caring - Civic Learning: Recognize the impact mathematics plays in civic situations such as politics, education and income. Learning How to Learn: Relate mathematical skills to real-life situations.

MTH 111 - Intermediate Algebra

https://catalog.nmc.edu/course-outlines/mth-111/

Course Description Intermediate Algebra covers elementary set notation, a description of the Real number system, its major subsets, and an introduction to the Complex number system. Simplifying exponents, and algebraic expressions. Solving linear, quadratic, rational, and radical equations. Linear inequalities and systems of equations are also solved. The function concept is referenced throughout including the graphical, symbolic and numerical representations. Group 2 course. Credit Hours 4 Contact Hours 4 Lecture Hours 4 Required Prerequisites A grade of 2.0 or better in MTH 23 or appropriate placement. Recommended Prerequisites or Skills Competencies Placement into ENG 111 Course Learning Outcomes Knowledge: Show proper usage of addition, subtraction, multiplication, division, and exponentiation on the Complex Numbers (primarily the Real Numbers), and algebraic expressions. Determine the proper usage of mathematical terminology and symbolization associated with: algebraic expressions (polynomial, rational and radical), functions, like terms, factoring, equations (linear, quadratic, radical and rational), linear inequality, simplify, solve, unit conversion, scientific notation, Cartesian coordinate system, slope, intercepts, parabola, vertex. Use procedures to: combine like terms, evaluate algebraic expressions and functions, perform operations and simplify rational and radical expressions, simplify integer and rational exponents, factor algebraic expressions, solve linear, quadratic, rational, radical equations, and systems of equations, convert units (Dimensional Analysis), solve linear inequalities, graph linear and quadratic equations. Use function notation to model and graph linear and quadractic functions. Application: Apply the appropriate procedure in simplifying mathematical expressions, solving equations and/or written applications. Integration: Apply mathematical operations/procedures to problems involving; evaluating and simplifying expressions or solving equations including applications. Human Dimension: Strive to improve areas of mathematical weakness based on feedback. Collaborate with peers during group work. Caring - Civic Learning: Recognize the impact mathematics plays in civic situations such as politics, education and income. Learning How to Learn: Relate mathematical skills to real-life situations.

MTH 120 - Mathematical Explorations

https://catalog.nmc.edu/course-outlines/mth-120/

Course Description This course is designed to meet the MTA graduation requirements in math for students whose programs of study have no further math requirements. This course is designed to develop quantitative reasoning skills as applied to personal and social issues. Topics will convey to the student the beauty and utility of mathematics, and its applications to modern society. Core topics include logic, models of growth (linear & exponential), personal finance, basic statistics and probability. Group 1 course. Credit Hours 3 Contact Hours 3 Lecture Hours 3 Required Prerequisites A grade of 2.0 or better in MTH 23 or appropriate placement. Recommended Prerequisites or Skills Competencies High school algebra and geometry; Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Describe processes associated with logical thinking: problem solving and dimensional analysis. Describe processes associated with personal finance: compound Interest, amortization, annuity, consumer debt, inflation and taxes. Describe processes associated with growth models: graphical, numerical, linear, exponential, and regression and correlation. Describe processes associated with statistics and probability: mean, median, mode, standard deviation, and basic probability. Use correct mechanics; spelling, grammar, punctuation, and references. Application: Solve real world problems using appropriate models and strategies. Integration: Apply problem solving strategies justifying their results in real world problems: linear and exponential growth, dimensional analysis, logical reasoning, using a formula, using correct technology. Human Dimension: Strive to improve areas of mathematical weakness based on feedback. Collaborate with peers during group work. Caring - Civic Learning: Recognize the impact mathematics plays in civic situations such as politics, education and income. Learning How to Learn: Relate mathematical skills to real-life situations.