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MATHEMATICS
MATH 0305 - BEGINNING ALGEBRA
This course supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving. This course also includes basic algebraic concepts and notations, algebraic expressions and equations, factoring polynomials and graphing. Some algebra is required.
This course does not count toward graduation at NCTC.
This course supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving. This course also includes basic algebraic concepts and notations, algebraic expressions and equations, factoring polynomials and graphing. Some algebra is required.
This course does not count toward graduation at NCTC.
Upon completion, students will be able to:
Use appropriate symbolic notation and vocabulary to communicate, interpret, and explain mathematical concepts.
Define, represent, and perform operations on real numbers, applying numeric reasoning to investigate and describe quantitative relationships and solve real world problems in a variety of contexts.
Use algebraic reasoning to solve problems that require ratios, rates, percentages, and proportions in a variety of contexts using multiple representations.
Apply algebraic reasoning to manipulate expressions and equations to solve real world problems.
Use graphs, tables, and technology to analyze, interpret, and compare data sets.
Construct and use mathematical models in verbal, algebraic, graphical, and tabular form to solve problems from a variety of contexts and to make predictions and decisions.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
MATH 0310 - INTERMEDIATE ALGEBRA
A study of relations and functions, inequalities, algebraic expressions and equations (absolute value, polynomial, radical, rational), with a special emphasis on linear and quadratic expressions and equations.
A study of relations and functions, inequalities, algebraic expressions and equations (absolute value, polynomial, radical, rational), with a special emphasis on linear and quadratic expressions and equations.
Upon completion, students will be able to:
Define, represent, and perform operations on real and complex numbers.
Recognize, understand, and analyze features of a function.
Recognize and use algebraic (field) properties, concepts, procedures (including factoring), and algorithms to combine, transform, and evaluate absolute value, polynomial, radical, and rational expressions.
Identify and solve absolute value, polynomial, radical, and rational equations.
Identify and solve absolute value and linear inequalities
Model, interpret and justify mathematical ideas and concepts using multiple representations.
Connect and use multiple strands of mathematics in situations and problems, as well as in the study of other disciplines.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
MATH 1314 - COLLEGE ALGEBRA
In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included. This course is intended for STEM (Science, Technology, Engineering, and Mathematics) majors, as well as students pursuing some Business and Education programs. It is a preparation for advanced coursework in mathematics.
Meets NCTC Core Curriculum Requirement
In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included. This course is intended for STEM (Science, Technology, Engineering, and Mathematics) majors, as well as students pursuing some Business and Education programs. It is a preparation for advanced coursework in mathematics.
Meets NCTC Core Curriculum Requirement
Upon completion, students will be able to:
Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses.
Recognize and apply polynomial, rational, radical, exponential and logarithmic functions and solve related equations.
Apply graphing techniques.
Evaluate all roots of higher degree polynomial and rational functions.
Recognize, solve and apply systems of linear equations using matrices.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Restrictions:
Must meet TSI College Readiness standard for Mathematics
MATH 1316 - PLANE TRIGONOMETRY
In-depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations, graphing, and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations may be included.
Meets NCTC Core Curriculum Requirement
In-depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations,graphing, and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations may be included.
Meets NCTC Core Curriculum Requirement
Upon completion, students will be able to:
Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
Graph trigonometric functions and their transformations.
Prove trigonometric identities.
Solve trigonometric equations.
Solve right and oblique triangles.
Use the concepts of trigonometry to solve applications.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Restrictions:
Must meet TSI College Readiness standard for Mathematics
MATH 1324 - MATHEMATICS FOR BUSINESS & SOCIAL SCIENCES
The application of common algebraic functions, including polynomial, exponential, logarithmic, and rational, to problems in business, economics, and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value.
Meets NCTC Core Curriculum Requirement
The application of common algebraic functions, including polynomial, exponential, logarithmic, and rational, to problems in business, economics, and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value.
Meets NCTC Core Curriculum Requirement
Upon completion, students will be able to:
Apply elementary functions, including linear, quadratic, polynomial, rational, logarithmic, and exponential functions to solving real-world problems.
Solve mathematics of finance problems, including the computation of interest, annuities, and amortization of loans.
Apply basic matrix operations, including linear programming methods, to solve application problems.
Demonstrate fundamental probability techniques and application of those techniques, including expected value, to solve problems.
Apply matrix skills and probability analyses to model applications to solve real-world problems.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Restrictions:
Must meet TSI College Readiness standard for Mathematics
MATH 1325 - CALCULUS FOR BUSINESS & SOCIAL SCIENCES
This course is the basic study of limits and continuity, differentiation, optimization, and graphing, and integration of elementary functions, with emphasis on applications in business, economics, and social sciences.
This course is not a substitute for MATH 2413 Calculus I.
Meets NCTC Core Curriculum Requirement
This course is the basic study of limits and continuity, differentiation, optimization, and graphing, and integration of elementary functions, with emphasis on applications in business, economics, and social sciences.
This course is not a substitute for MATH 2413 Calculus I.
Meets NCTC Core Curriculum Requirement
Upon completion, students will be able to:
Apply calculus to solve business, economics, and social sciences problems.
Apply appropriate differentiation techniques to obtain derivatives of various functions, including logarithmic and exponential functions.
Solve application problems involving implicit differentiation and related rates.
Solve optimization problems with emphasis on business and social sciences applications.
Determine appropriate technique(s) of integration.
Integrate functions using the method of integration by parts or substitution, as appropriate.
Solve business, economics, and social sciences applications problems using integration techniques.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Prerequisites:
MATH 1332 - CONTEMPORARY MATHEMATICS (Quantitative Reasoning)
General mathematics course, intended for Non STEM (Science, Technology, Engineering, and Mathematics) majors. Topics include introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communication should be embedded throughout the course. Additional topics may be covered.
Meets NCTC Core Curriculum Requirement
General mathematics course, intended for Non STEM (Science, Technology, Engineering, and Mathematics) majors. Topics include introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communication should be embedded throughout the course. Additional topics may be covered.
Meets NCTC Core Curriculum Requirement
Upon completion, students will be able to:
Apply the language and notation of sets.
Determine the validity of an argument or statement and provide mathematical evidence.
Solve problems in mathematics of finance.
Demonstrate fundamental probability/counting techniques and apply those techniques to solve problems.
Interpret and analyze various representations of data.
Demonstrate the ability to choose and analyze mathematical models to solve problems from real-world settings, including, but not limited to, personal finance, health literacy, and civic engagement.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Restrictions:
Must meet TSI College Readiness standard for Mathematics
MATH 1342 - ELEMENTARY STATISTICAL METHODS
Collection, analysis, presentation and interpretation of data, and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Use of appropriate technology is recommended.
Meets NCTC Core Curriculum Requirement
Collection, analysis, presentation and interpretation of data, and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Use of appropriate technology is recommended.
Meets NCTC Core Curriculum Requirement
Upon completion, students will be able to:
Explain the use of data collection and statistics as tools to reach reasonable conclusions.
Recognize, examine and interpret the basic principles of describing and presenting data.
Compute and interpret empirical and theoretical probabilities using the rules of probabilities and combinatorics.
Explain the role of probability in statistics.
Examine, analyze and compare various sampling distributions for both discrete and continuous random variables.
Describe and compute confidence intervals.
Solve linear regression and correlation problems.
Perform hypothesis testing using statistical methods.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Restrictions:
Must meet TSI College Readiness standard for Mathematics
MATH 1350 - MATHEMATICS FOR TEACHERS I
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the conceptual development of the following: sets, functions, numeration systems, number theory, and properties of the various number systems with an emphasis on problem solving and critical thinking.
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the conceptual development of the following: sets, functions, numeration systems, number theory, and properties of the various number systems with an emphasis on problem solving and critical thinking.
Upon completion, students will be able to:
Explain and model the arithmetic operations for whole numbers and integers.
Explain and model computations with fractions, decimals, ratios, and percentages.
Describe and demonstrate how factors, multiples, and prime numbers are used to solve problems.
Apply problem-solving skills to numerical applications.
Represent and describe relationships among sets using the appropriate mathematical terminology and notation.
Compare and contrast structures of numeration systems
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Prerequisites:
MATH 1314 - COLLEGE ALGEBRA
MATH 1351 - MATHEMATICS FOR TEACHERS II
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the concepts of geometry, measurement, probability, and statistics with an emphasis on problem solving and critical thinking.
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the concepts of geometry, measurement, probability, and statistics with an emphasis on problem solving and critical thinking.
Upon completion, students will be able to:
Apply fundamental terms of geometry such as points, lines, and planes to describe two and three dimensional figures.
Make and test conjectures about figures and geometric relationships.
Use a variety of methods to identify and justify congruency and similarity of geometric objects.
Perform geometric transformations.
Demonstrate fundamental probability techniques and apply those techniques to solve problems.
Explain the use of data collection and statistics as tools to reach reasonable conclusions.
Recognize, examine, and utilize the basic principles of describing and presenting data.
Perform measurement processes and explain the concept of a unit of measurement.
Develop and use formulas for the perimeter, area, and volume for a variety of figures.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Prerequisites:
MATH 1314 - COLLEGE ALGEBRA
MATH 2305 - DISCRETE MATHEMATICS
A course designed to prepare math, computer science, and engineering majors for a background in abstraction, notation, and critical thinking for the mathematics most directly related to computer science. Topics include: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, combinatorics, discrete probability, recursion, sequence and recurrence, elementary number theory, graph theory, and mathematical proof techniques.
A course designed to prepare math, computer science, and engineering majors for a background in abstraction, notation, and critical thinking for the mathematics most directly related to computer science. Topics include: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, combinatorics, discrete probability, recursion, sequence and recurrence, elementary number theory, graph theory, and mathematical proof techniques.
Upon successful completion, students will be able to:
Construct mathematical arguments using logical connectives and quantifiers.
Verify the correctness of an argument using propositional and predicate logic and truth tables.
Demonstrate the ability to solve problems using counting techniques and combinatorics in the context of discrete probability.
Solve problems involving recurrence relations and generating functions.
Use graphs and trees as tools to visualize and simplify situations.
Perform operations on discrete structures such as sets, functions, relations, and sequences.
Construct proofs using direct proof, proof by contraposition, proof by contradiction, proof by cases, and mathematical induction.
Apply algorithms and use definitions to solve problems to prove statements in elementary number theory.
Grade Basis: L
Credit hours: 3.0
Lecture hours: 48.0
Prerequisites:
MATH 2413 - CALCULUS I
MATH 2318 - LINEAR ALGEBRA
Introduces and provides models for application of the concepts of vector algebra. Topics include finite dimensional vector spaces and their geometric significance, representing and solving systems of linear equations using multiple methods including Gaussian elimination and matrix inversion, matrices, determinants, linear transformations, quadratic forms, eigenvalues and eigenvector, and applications in science and engineering.
Introduces and provides models for application of the concepts of vector algebra. Topics include finite dimensional vector spaces and their geometric significance, representing and solving systems of linear equations using multiple methods including Gaussian elimination and matrix inversion, matrices, determinants, linear transformations, quadratic forms, eigenvalues and eigenvector, and applications in science and engineering.
Upon completion, students will be able to:
Be able to solve systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion.
Be able to carry out matrix operations, including inverses and determinants.
Demonstrate understanding of the concepts of vector space and subspace.
Demonstrate understanding of linear independence, span, and basis.
Be able to determine eigenvalues and eigenvectors and solve problems involving eigenvalues.
Apply principles of matrix algebra to linear transformations.
Demonstrate application of inner products and associated norms.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Prerequisites:
MATH 2414 - CALCULUS II
MATH 2320 - DIFFERENTIAL EQUATIONS
Ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, boundary value problems; application of differential equations to real-world problems.
Ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, boundary value problems; application of differential equations to real-world problems.
Upon completion, students will be able to:
Identify homogeneous equations, homogeneous equations with constant coefficients, and exact and linear differential equations.
Solve ordinary differential equations and systems of equations using: a) Direct integration b) Separation of variables c) Reduction of order d) Methods of undetermined coefficients and variation of parameters e) Series solutions f) Operator methods for finding particular solutions g) Laplace transform methods
Determine particular solutions to differential equations with given boundary conditions or initial conditions.
Analyze real-world problems in fields such as Biology, Chemistry, Economics, Engineering, and Physics, including problems related to population dynamics, mixtures, growth and decay, heating and cooling, electronic circuits, and Newtonian mechanics.
Grade Basis: L
Credit Hours: 3
Lecture hours: 48.0
Prerequisites:
MATH 2414 - CALCULUS II
MATH 2412 - PRE-CALCULUS MATH
In-depth combined study of algebra, trigonometry, and other topics for calculus readiness.
Meets NCTC Core Curriculum Requirement
In-depth combined study of algebra, trigonometry, and other topics for calculus readiness.
Meets NCTC Core Curriculum Requirement
Upon completion, students will be able to:
Demonstrate and apply knowledge of properties of functions.
Recognize and apply algebraic and transcendental functions and solve related equations.
Apply graphing techniques to algebraic and transcendental functions.
Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
Prove trigonometric identities.
Solve right and oblique triangles.
Grade Basis: L
Credit Hours: 4
Lecture hours: 80.0
Prerequisites:
MATH 1314 - COLLEGE ALGEBRA
MATH 2413 - CALCULUS I
Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.
Meets NCTC Core Curriculum Requirement.
Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.
Meets NCTC Core Curriculum Requirement.
Upon completion, students will be able to:
Develop solutions for tangent and area problems using the concepts of limits, derivatives, and integrals.
Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.
Determine whether a function is continuous and/or differentiable at a point using limits.
Use differentiation rules to differentiate algebraic and transcendental functions.
Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.
Evaluate definite integrals using the Fundamental Theorem of Calculus.
Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.
Grade Basis: L
Credit Hours: 4
Lecture hours: 64.0
Prerequisites:
MATH 2412 - PRE-CALCULUS MATH
MATH 2414 - CALCULUS II
Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.
Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.
Upon completion, students will be able to:
Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
Define an improper integral.
Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
Determine convergence or divergence of sequences and series.
Use Taylor and MacLaurin series to represent functions.
Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.
Grade Basis: L
Credit Hours: 4
Lecture hours: 64.0
Prerequisites:
MATH 2413 - CALCULUS I
MATH 2415 - CALCULUS III
Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians, and application of the line integral including Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians, and application of the line integral including Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
Upon completion, students will be able to:
Perform calculus operations on vector‐valued functions, including derivatives, integrals, curvature, displacement, velocity, acceleration, and torsion.
Perform calculus operations on functions of several variables, including partial derivatives, directional derivatives, and multiple integrals.
Find extrema and tangent planes
Solve problems using the Fundamental Theorem of Line Integrals, Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
Apply the computational and conceptual principles of calculus to the solutions of real-world problems.
Grade Basis: L
Credit Hours: 4
Lecture hours: 64.0
Prerequisites:
MATH 2414 - CALCULUS II
NCBM 0100 or 01XX - NON-COURSE COMPETENCY-BASED OPTION FOR MATHEMATICS
The NCBM supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving.
This course is a developmental education intervention and supports topics in MATH 1332 or MATH 1342. Course may include basic study skills such as note-taking, time management, learning styles, math anxiety, and test-taking strategies.
Must be taken concurrently with a MATH 1332 or MATH 1342 course. The one-hour support will be paired with a specific course, indicated by the last two digits (e.g., MATH 1332 + NCBM 0132).
This course does not count toward graduation at NCTC.
The NCBM supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving. This course is a developmental education intervention and supports topics in MATH 1332 or MATH 1342. Course may include basic study skills such as note-taking, time management, learning styles, math anxiety, and test-taking strategies. Must be taken concurrently with a MATH 1332 or MATH 1342 course. The one-hour support will be paired with a specific course, indicated by the last two digits (e.g., MATH 1332 + NCBM 0132). This course does not count toward graduation at NCTC.
Upon successful completion, students will be able to:
Use appropriate symbolic notation and vocabulary to communicate, interpret, and explain mathematical concepts.
Define, represent, and perform operations on real numbers, applying numeric reasoning to investigate and describe quantitative relationships and solve real world problems in a variety of contexts.
Use algebraic reasoning to solve problems that require ratios, rates, percentages, and proportions in a variety of contexts using multiple representations.
Apply algebraic reasoning to manipulate expressions and equations to solve real world problems.
Use graphs, tables, and technology to analyze, interpret, and compare data sets.
Construct and use mathematical models in verbal, algebraic, graphical, and tabular form to solve problems from a variety of contexts and to make predictions and decisions.
Grade Basis: P
Credit hours: 1.0
Lecture hours: 16.0
NCBM 0205 - DEVELOPMENTAL MATHEMATICS - BASE INTERVENTION
The BASE NCBO supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving. This intervention is designed specifically for students assessed at BASE levels 3-4 and must be part of a student’s co-enrollment (co-requisite) enrollment:
as a mainstreamed intensifier providing contact hours for additional, just-in-time instructional support for the student’s success in the developmental math course, or
as a contextualized and/or integrated basic skills instructional support for a Career/Technical Education course.
This course is a BASE developmental education intervention and supports topics in mathematics such as fractions, integers, decimals, percentages, algebraic concepts, solving equations, and polynomials. This course is designed for students with little algebraic background and will be paired with MATH 0305. The course may also include basic study skills such as note-taking, time management, learning styles, math anxiety, and test-taking strategies.
This course does not count toward graduation at NCTC.
The BASE NCBO supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving. This intervention is designed specifically for students assessed at BASE levels 3-4 and must be part of a student’s co-enrollment (co-requisite) enrollment: as a mainstreamed intensifier providing contact hours for additional, just-in-time instructional support for the student’s success in the developmental math course, or as a contextualized and/or integrated basic skills instructional support for a Career/Technical Education course. This course is a BASE developmental education intervention and supports topics in mathematics such as fractions, integers, decimals, percentages, algebraic concepts, solving equations, and polynomials. This course is designed for students with little algebraic background and will be paired with MATH 0305. The course may also include basic study skills such as note-taking, time management, learning styles, math anxiety, and test-taking strategies. This course does not count toward graduation at NCTC.
Upon successful completion, students will be able to:
Use appropriate symbolic notation and vocabulary to communicate, interpret, and explain mathematical concepts.
Define, represent, and perform operations on real numbers, applying numeric reasoning to investigate and describe quantitative relationships and solve real world problems in a variety of contexts.
Use algebraic reasoning to solve problems that require ratios, rates, percentages, and proportions in a variety of contexts using multiple representations.
Apply algebraic reasoning to manipulate expressions and equations to solve real world problems.
Use graphs, tables, and technology to analyze, interpret, and compare data sets.
Construct and use mathematical models in verbal, algebraic, graphical, and tabular form to solve problems from a variety of contexts and to make predictions and decisions.
Grade Basis: P
Credit hours: 2.0
Lecture hours: 32.0
NCBM 02XX - NON-COURSE BASED INTERVENTION FOR MATHEMATICS
The NCBO supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving.
This course is a developmental education intervention and supports topics in MATH 1332, MATH 1342, MATH 1314, or MATH 1324. Course may include basic study skills such as note-taking, time management, learning styles, math anxiety, and test-taking strategies.
Must be taken concurrently with MATH 1332, MATH 1342, MATH 1314, or MATH 1324 The two hour support will be paired with a specific course, indicated by the last two digits (e.g., MATH 1314 + NCBM 0214).
This course does not count toward graduation at NCTC.
The NCBO supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving. This course is a developmental education intervention and supports topics in MATH 1332, MATH 1342, MATH 1314, or MATH 1324. Course may include basic study skills such as note-taking, time management, learning styles, math anxiety, and test-taking strategies. Must be taken concurrently with MATH 1332, MATH 1342, MATH 1314, or MATH 1324 The two hour support will be paired with a specific course, indicated by the last two digits (e.g., MATH 1314 + NCBM 0214). This course does not count toward graduation at NCTC.
Upon successful completion, students will be able to:
Use appropriate symbolic notation and vocabulary to communicate, interpret, and explain mathematical concepts.
Define, represent, and perform operations on real numbers, applying numeric
reasoning to investigate and describe quantitative relationships and solve real world problems in a variety of contexts.
Use algebraic reasoning to solve problems that require ratios, rates, percentages, and proportions in a variety of contexts using multiple representations.
Apply algebraic reasoning to manipulate expressions and equations to solve real world problems
Use graphs, tables, and technology to analyze, interpret, and compare data sets.
Construct and use mathematical models in verbal, algebraic, graphical, and tabular form to solve problems from a variety of contexts and to make predictions and decisions.
Grade Basis: P
Credit hours: 2.0
Lecture hours: 32.0