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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 111 Intermediate Algebra

MTH 111 - Intermediate Algebra

Credit Hours: 4, Contact Hours: 4

Division: Science Math

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.

Required Prerequisites: A grade of 2.0 or better in MTH 23 or appropriate placement.

Recommended Prerequisites: Placement into ENG 111

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 121 - College Algebra

https://catalog.nmc.edu/course-outlines/mth-121/

Course Description This course covers algebra topics including functions, mathematical models, solving equations algebraically and graphically, polynomial functions, logarithmic functions, exponential functions, inverse functions, and linear and non-linear systems of equations. Applications are integrated throughout. Group 1 course. Credit Hours 4 Contact Hours 4 Lecture Hours 4 Required Prerequisites A grade of 2.0 or better in MTH 111 or higher (excluding MTH 120 and MTH 131 ) or appropriate placement. Recommended Prerequisites or Skills Competencies Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes "Knowledge: Show proper usage of addition, subtraction, multiplication, division, and exponentiation on the complex numbers (primarily the real numbers), and algebraic, logarithmic and exponential expressions. Knowledge: Determine the proper usage of mathematical terminology and symbolization associated with: algebraic expressions (polynomial, rational and radical), functions, inverse functions, composition of functions, factoring, equations (polynomial, radical and rational, exponential and logarithmic), inequalities (polynomial, rational and absolute value), graphing polynomial, rational, exponential and logarithmic functions, and transformations of the same. Use procedures to: evaluate and manipulate functions, perform operations and simplify algebraic expressions, simplify integer and rational exponents, factor algebraic expressions, solve polynomial, rational, radical, exponential, logarithmic, and systems of equations, solve polynomial and absolute value inequalities, graph polynomial, rational, exponential, and logarithmic functions and transformations of the same, and identify and locate key features of graphs of functions like; asymptotes, intercepts, and extrema. Application: Appropriate procedure in simplifying algebraic expressions, solving equations, including systems of equations, and/or written applications. Integration: Apply mathematical models to solve equations including applications. Interpret the solution in the context of the problem and justify the result. 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 131 - Intro to Prob & Stats

https://catalog.nmc.edu/course-outlines/mth-131/

Course Description Descriptive statistics, experimental design, an introduction to probability concepts and inferential statistics are included in the course. Descriptive statistics includes graphs of both numerical and categorical data, measures of central tendency, and measures of variation. The normal density function, linear regression, and the binomial model are included. One and two sample problems involving confidence intervals and significance tests are studied for the sample mean and the sample proportion. Group 1 course. Credit Hours 3 Contact Hours 3 Lecture Hours 3 Required Prerequisites A grade of 2.0 or better in MTH 111 or MTH 120 or higher or appropriate placement. Recommended Prerequisites or Skills Competencies Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Students will create: histograms, bar charts, stemplots, dot plots, box plots, scatterplots, regression lines, normal curves, and binomial distributions. Students will compute: measures of center, measures of variation, and probabilities, both continuous and discrete. Application: Use graphs of numerical data to choose appropriate measures of center and variation. Use scatterplots to determine if linear models are appropriate. Analyze statistical claims for accuracy, such as cause and effect claims. Generate confidence intervals and conduct hypothesis test for various situations. Integration: Interpret important traits of linear models such as strength, slope and trend. Explain the use and purpose of sampling distributions. Make precise and accurate interpretations of confidence intervals and hypothesis tests. Compare and contrast two or more data sets. 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 122 - Trigonometry

https://catalog.nmc.edu/course-outlines/mth-122/

Course Description This course covers the definitions and graphic representations of the trigonometric functions. Triangles, angle measure, equations, identities, and inverse functions are discussed in detail. Law of Sines, Law of Cosines, and equations of the conic sections will also be covered. Group 1 course. Credit Hours 3 Contact Hours 3 Lecture Hours 3 Required Prerequisites A grade of 2.0 or better in MTH 121 or higher (excluding MTH 131 ) or appropriate placement. Recommended Prerequisites or Skills Competencies Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Show proper usage of angle measures, 6 trigonometric ratios, and functions and their inverses, basic trigonometric identities, Law of Sines, and Law of Cosines. Determine the proper usage of mathematical terminology and symbolization associated with: conic sections, solving trigonometric equations, verification of trigonometric identities. Use procedures to: graph and identify key features of conic sections, graph the trigonometric functions and their transformations, solve any type of triangle, solve trigonometric equations, and verify trigonometric identities. Application: Apply the appropriate procedure in simplifying trigonometric expressions, solving equations, and identities and solving triangles. Apply appropriate procedures to identify specific features of conic sections and then graph the conic section. Integration: Apply mathematical models to solve equations including applications. Interpret the solution in the context of the problem and justify the result. 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 141 - Calculus I

https://catalog.nmc.edu/course-outlines/mth-141/

Course Description This is the first course in a traditional calculus sequence, emphasizing the development of the mathematical thought process. The topics covered include limits (definitions and limit proofs), continuity, derivatives of algebraic and trigonometric functions, applications of the derivative, the indefinite and definite integral, the fundamental theorem of calculus, and applications of integration. Group 1 course. Credit Hours 5 Contact Hours 5 Lecture Hours 5 Required Prerequisites A grade of 2.0 or better in MTH 122 or higher (excluding MTH 131 ) or appropriate placement. Recommended Prerequisites or Skills Competencies Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Show proper usage of function notation, The Mean Value Theorem, The Intermediate Value Theorem, and The Fundamental Theorem of Calculus. Determine the proper usage of mathematical terminology and symbolization associated with: limits, continuity, differentiation and integration involving algebraic and trigonometric functions. Use procedures to: evaluate and verify limits, determine continuity and differentiability of functions, differentiate products, quotients and compositions of functions, evaluate definite and indefinite integrals, differentiate implicitly, and relate graphs to functions and their derivatives. Application: Solve optimization and related rate problems. Use the integral to find areas, volumes and other applications. Discern between the usage of differentiation and integration. Integration: Apply mathematical modeling to solve real world problems. Interpret the solution in the context of the problem and justify the results. 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.

ENV 111 - Physical Geology

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

Course Description This course explores processes which transform planet Earth. Landforms, minerals, rocks, and geologic structures are examined in classroom, laboratory, and field studies, which focus on these geologic processes, and on the techniques of geology. Lab studies apply the methodology and techniques of geology by introduction of map reading, field and map study, study of surficial processes, and study of minerals and rocks. Group 1 lab course. Credit Hours 4 Contact Hours 5 Lecture Hours 3 Required Prerequisites MTH 23 or equivalent Corequisites ENV 111L Recommended Prerequisites or Skills Competencies ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Be able to identify and describe the physical and chemical properties of the most common minerals, igneous, sedimentary, and metamorphic rocks. Explain the origins and geologic processes responsible for surface features and environments associated with streams, glaciers, coasts, etc. Explain tectonic processes responsible for the origin of continents, oceans, earthquakes, volcanoes, and mountain systems. Application: Analyze the physical properties of unknown rocks and minerals to determine their identification. Analyze maps to determine the origin of landforms. Analyze 3 dimensional rock structures to determine the origin. Analyze digital images of the Earth's surface to describe the existing plate boundaries. Calculate the rate and direction of plate motion. Determine the timing of geologic events and features, by applying uniformitarianism, relative dating methods, and numerical (radiometric) dating methods. Integration: Describe how rock and mineral resources are used in the real world to make a wide range of products. Evaluate the economic value of local and statewide mining operations. Connect geologic processes with the occurrence and distribution of rock and mineral resources. Human Dimension: Work collaboratively in lab situations to determine the characteristics of geologic materials. See themselves as geologists. Caring - Civic Learning: Explain how management of soil, mineral, and rock resources impact local and global environments and economies. Learning How to Learn: Use internet resources to obtain information regarding geologic materials and current geologic events.

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.

MTH 142 - Calculus II

https://catalog.nmc.edu/course-outlines/mth-142/

Course Description This course is a continuation of Calculus I. The topics include differentiation and integration involving exponential, logarithmic, and inverse trigonometric functions. There is an introduction of various integration methods. L'Hospital's Rule, improper integrals, parametric equations, polar coordinates, and infinite sequences and series are also investigated. Group 1 course. Credit Hours 5 Contact Hours 5 Lecture Hours 5 Required Prerequisites A grade of 2.0 or better in MTH 141 or equivalent Recommended Prerequisites or Skills Competencies Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Show proper usage of function notation, The Fundamental Theorem of Calculus, L'Hospital's Rule, Polar coordinates, integration techniques, Shell Method, Washer Method and tests for convergence. Determine the proper usage of mathematical terminology and symbolization associated with: differentiation and integration of algebraic, trigonometric, inverse trigonometric, exponential and logarithmic functions, limits, sequences, series, polar coordinates, parametrization. Use procedures to: evaluate limits using L'Hospital's Rule, evaluate definite, indefinite and improper integrals, define relations in parametric form, convert between polar and rectangular coordinates, and represent functions as infinite series. Application: Use integrals to find volumes, centroids, arc length, fluid force, and surface area. Apply convergence tests to determine behavior of infinite series. Apply calculus concepts to infinite series representations of functions. Integration: Apply mathematical modeling to solve real world problems. Interpret the solution in the context of the problem and justify the results. 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 241 - Calculus III

https://catalog.nmc.edu/course-outlines/mth-241/

Course Description The course covers multivariable calculus including three-dimensional analytical geometry, vector valued functions, partial differentiation, and multiple integration (with applications of each), and vector calculus. Group 1 course. Credit Hours 5 Contact Hours 5 Lecture Hours 5 Required Prerequisites A grade of 2.0 or better in MTH 142 or equivalent Recommended Prerequisites or Skills Competencies Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Graph both space curves and surfaces in three dimensions in rectangular, cylindrical, or spherical coordinates. Demonstrate proper use of vectors and vector valued functions, including dot and cross products, equations of lines, planes and curves in space. Compute partial derivatives to find the gradient vector, directional derivatives, and to maximize or minimize a function of multiple variables using both the extreme value theorem and Lagrange multipliers. Write and evaluate double and triple integrals to find surface area, volume, length of curve and work. Learn the concepts and theorems of vector calculus, including line integrals, divergence, curl and surface integrals. Application: Perform proper operations on functions to find extrema and tangent approximations. Determine the most effective coordinate system to use to evaluate an iterated integral. Discern the proper order and limits of an iterated integral. Appropriately use Stoke's Theorem and the Divergence Theorem. Integration: Represent multidimensional physical relationships and use calculus theory and techniques to solve them. Human Dimension: Identify their mathematical strengths and weakness and recognize they can overcome their weaknesses. Collaborate with peers during group work. Caring - Civic Learning: Collaborate with peers during group work. Learning How to Learn: Recognize the impact mathematics plays in civic situations such as politics, education and income. Reflect on failure and revise appropriately.

MTH 251 - Differential Equations

https://catalog.nmc.edu/course-outlines/mth-251/

Course Description This course introduces the concepts of differential equations. Topics include: solving first and second order differential equations, and systems of linear differential equations. Solutions are found using analytical, numerical, or graphical techniques relating to quantitative modeling. Laplace transforms and solving non-linear differential equations are introduced. Complex numbers and their usefulness in solving differential equations is identified. Linear algebra is introduced including the topics of; vector spaces, subspaces, spanning sets, linear dependence and independence, basis and dimensions, eigenvalues, eigenvectors, and linear transformations. Group 1 course. Credit Hours 4 Contact Hours 4 Lecture Hours 4 Required Prerequisites A grade of 2.0 or better in MTH 142 or equivalent Recommended Prerequisites or Skills Competencies Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Solve differential equations and differential systems (of 2 variables) with initial conditions analytically, numerically, graphically and qualitatively. Utilize technology and theory and explain the limitations of each. Application: Determine the appropriate method for solving various first and second order equations. Solve and describe the nature of the solutions to various first order systems of equations. Integration: Represent a physical phenomenon in the form of a differential equation. Interpret the solution in the context of the problem and justify the results. 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.

CUL 111 - Professional Cookery

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

Course Description An intensive study of foods and cooking, this course exposes the student to commercial equipment, quality food production, and professional presentation. It provides the chef training student with the practice and theory involved in the preparation of foods in a commercial operation. Basic cooking terminology, methods and procedures are introduced. The course also includes kitchen safety and sanitation, knife and equipment identification and technique, preparation of stocks, soups, and mother sauces, meats, poultry and seafood, and the presentation of a complete meal. Uniforms and knives will need to be purchased through the department for this course. Group 2 course. Credit Hours 5 Contact Hours 10 Lab Hours 10 Required Prerequisites ENG 99 /108 or higher, MTH 08 or higher, CUL 110 may be taken concurrently General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Define and explain key concepts, terms, relationships appropriate to professional cooking. Identify equipment and products used in professional kitchens. Connect the use of cooking methods to planned end results. Application: Demonstrate professional knife skills and cooking methods. Modify recipes to reflect the quantity needed for production. Integration: Integrate quality cooking methods and service to produce customer satisfaction. Relate interactions between cooking and design, sanitation and management. Human Dimension: Evaluate different life experiences, temperaments, and talents and how these traits positively affect group work. Caring - Civic Learning: Describe the impact of quality food service on successful food service outlets. Learning How to Learn: Interpret standardized recipes to create various menu items. Determine appropriate knife skills and cooking techniques in various commercial restaurant situations.