Academic Departments | LSCS Math Departments | LSC-Kingwood Math Department |

Courses

Non-Tranferable Classes

• MATH 0306 - Pre Algebra Mathematics
• MATH 0308 - Introductory Algebra
• MATH 0310 - Intermediate Algebra

Transferable Classes

• MATH 1314 - College Algebra
• MATH 1316 - Trogonometry
• MATH 1324 - Finte Mathematics
• MATH 1325 - Elements of Calculus with Applications
• MATH 1332 - College Mathematics for Liberal Arts
• MATH 1342 - Statistics
• MATH 1350 - Foundations of Mathematics I
• MATH 1351 - Foundations of Mathematics II
• MATH 2318 - Linear Algebra
• MATH 2320 - Differential Equations
• MATH 2412 - PreCalculus
• MATH 2413 - Calculus I
• MATH 2414 - Calculus II
• MATH 2415 - Calculus III

MATH 0306 - Pre-Algebra Mathematics, 3 Credits

Description

Topics for all formats include basic arithmetic operations on integers and rational numbers, order of operations, introduction to basic geometric concepts, simplification of algebraic expressions and techniques of solving simple linear equations. This course carries institutional credit but will not transfer and will not meet degree requirements

Textbook for Math 0306 and Math 0308

Prealgebra and Introductory Algebra
Richard N. Aufmann and Joanne Lockwood
Paperback, bundled with an Enhanced
WebAssign access code card, Brooks Cole
Cengage Learning; 2nd edition

• ISBN-13: 978-1-133-88730-0
• ISBN-10: 1-133-88730-9

Prerequisite

Placement by testing

Outcomes

• Calculate perimeter and area of quadrilaterals, triangles, and circles. Calculate volume of rectangular solids.
• Demonstrate basic skills in computations, estimations, order of operations and applications involving rational numbers.
• Demonstrate basic skills in computations, estimations, order of operations, and applications involving integers.
• Demonstrate basic skills in computations, estimations, order of operations, and applications involving whole numbers and decimals.
• Perform operations using the Commutative, Associative, Distributive, and Identity Properties of Addition and Multiplication.
• Recognize and Calculate angle relationships, and triangle relationships.
• Solve linear equations in one variable.
• Solve ratio and proportion and percent problems including applications.

MATH 0308 - Introductory Algebra, 3 Credits

Description

Topics for all formats include basic algebraic operations, elementary equations, laws of integer exponents, factoring and radical notation, rational expressions and an introduction to the Cartesian coordinate system. This course carries institutional credit but will not transfer and will not be used to meet degree requirements.

Textbook for Math 0306 and Math 0308

Prealgebra and Introductory Algebra
Richard N. Aufmann and Joanne Lockwood
Paperback, bundled with an Enhanced
WebAssign access code card
Brooks Cole, Cengage Learning; 2nd edition

• ISBN-13: 978-1-133-88730-0
• ISBN-10: 1-133-88730-9

Prerequisite

MATH 0306 or placement by testing

Outcomes

• Add, subtract, multiply, and divide polynomials.
• Factor polynomials.
• Simplify, multiply and divide rational expressions.
• Simplify expressions using definitions and laws of integer exponents.
• Sketch graphs of linear relations and determine a linear equation in two variables given pertinent information.
• Solve linear equations and inequalities in one variable and compound inequalities in one variable.
• Solve quadratic equations using the factoring method.
• Solve systems of linear equations in two variables, including applications.
• Use linear equations to solve applications.
• Find the slope and x and y- intercepts of a linear relation.

MATH 0310 - Intermediate Algebra, 3 Credits

Description

Topics for all formats include special products and factoring, rational expressions and equations, rational exponents, radicals, radical equations, quadratic equations and complex numbers; an introduction to the function concept and graphing, equations of lines and linear systems. This course carries institutional credit but will not transfer and will not be used to meet degree requirements.

Textbook for Math 0310 and Math 1314

Intermediate Algebra and College Algebra
Kaufmann and Schwitters, 9th edition
bundled with an Enhanced WebAssign access code card
Cengage Learning

• ISBN-13: 978-1-133-88731-7
• ISBN-10: 1-133-88731-7

Prerequisite

MATH 0308 or placement by testing

Outcomes

• Factor polynomials.
• Perform operations and solve equations and applications involving rational expressions.
• Perform operations and solve equations involving radicals and rational exponents
• Perform operations on complex numbers.
• Recognize functions defined by sets of ordered pairs, graphs, and equations, and apply function notation.
• Sketch graphs of linear functions and determine a linear function in two variables given pertinent information
• Solve linear inequalities in one and two variables.
• Solve quadratic equations and applications using methods including the quadratic formula, factoring, completing the square, and extracting roots.

MATH 1314 - College Algebra, 3 Credits

Description

Topics include absolute value and quadratic equations and inequalities, graphing skills, inverse functions, logarithmic and exponential functions, polynomial and rational functions, piecewise-defined functions, theory of equations and systems of equations.

Textbook for Math 0310 and Math 1314

Intermediate Algebra and College Algebra
Kaufmann and Schwitters, 9th edition
bundled with an Enhanced WebAssign access code card
Cengage Learning

• ISBN-13: 978-1-133-88731-7
• ISBN-10: 1-133-88731-7

Prerequisites

MATH 0310 or placement by testing

Outcomes

• Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, inverses and piecewise defined functions.
• Recognize, graph and apply polynomial, rational, radical, exponential, logarithmic and absolute value 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.
• Solve absolute value, polynomial and rational inequalities.

MATH 1316 - Trigonometry, 3 Credits

Description

Trigonometric functions and their applications, solutions of right and oblique triangles, trigonometric identities and equations, inverse trigonometric functions and graphs of the trigonometric functions.

Textbook for Math 1316 and Math 2412

Precalculus
Michael Sullivan
Addison Wesley; 9th edition

• ISBN-10: 0321716833
• ISBN-13: 978-0321716835

Prerequisite

MATH 1314 or placement by testing

Outcomes

• Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
• Compute values of the six basic inverse trigonometric functions.
• 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.
• Compute operations of vectors.
• Represent complex numbers in trigonometric form.

MATH 1324 - Finite Mathematics, 3 Credits

Description

Matrices, systems of equations, linear programming, the simplex method, probability, and mathematics of finance. Primarily for business majors and liberal arts students.

Textbook

Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Raymond A. Barnett, Michael R. Ziegler, and Karl Byleen
Prentice Hall; 12th edition

• ISBN-10: 0321614011
• ISBN-13: 978-0321614018

Prerequisites

Math 1314 or placement by testing

Outcomes

• Set up and solve systems of equations using matrix methods.
• Perform operations with matrices.
• Set up and solve linear programming applications using geometric and simplex methods.
• Compute probabilities using principles of sets and counting.
• Analyze data using basic principles of statistics.
• Solve financial applications involving simple and compound interest and annuities.

MATH 1325 - Elements of Calculus with Applications, 3 Credits

Description

A one-semester calculus course for non-science majors. Topics include limits, continuity, rates of change, differentiation and integration techniques and applications, calculus of the logarithmic and exponential functions and partial derivatives.

Textbook

Calculus for Business, Economics, Life Sciences and Social Sciences
Raymond A. Barnett, Michael R. Ziegler, and Karl Byleen
Prentice Hall; 12th edition

• ISBN-10: 0321613996
• ISBN-13: 978-0321613998

Prerequisites

MATH 1314 or placement by testing

Outcomes

• Evaluate limits functions from their graphs and/or equations.
• Determine derivative for selected functions and solve applications using these results.
• Integrate selected functions and solve applications using these results.
• Apply the concepts of limits, derivatives, and integrals to solve problems involving functions unique to business applications.

MATH 1332 - College Mathematics for Liberal Arts, 3 Credits

Description

College Mathematics for Liberal Arts is a course designed for liberal arts and other nonmathematics, non-science, and nonbusiness majors, emphasizing an appreciation of the art, history, beauty, and applications of mathematics. Topics may include, but are not limited to, sets, logic, number theory, measurement, geometric concepts, and an introduction to probability and statistics.

Textbook

The Nature of Mathematics
Karl J. Smith
Brooks Cole; 12th edition

• ISBN-10: 0538737581
• ISBN-13: 978-0538737586

Prerequisites

MATH 0310 or placement by testing;

Outcomes

• Demonstrate a mastery of the language of sets.
• Solve counting applications using permutation and combinations.
• Compute probabilities, including conditional probabilities, using principles of sets and counting.
• Identify the use and misuse of statistics in the real world.
• Create and interpret various methods of statistical display.

MATH 1342 - Statistics, 3 Credits

Description

An introduction to the concepts and methods of statistics. Topics include probability, random variables, binomial and normal distributions, random sampling, statistical inference, estimation, testing hypotheses, linear regressions and correlation, and chi-square test.

Textbook

Elementary Statistics, A Brief Version
by Allan Bluman
McGraw-Hill Science/Engineering/Math; 6th edition
Language: English

• ISBN-10: 0077567668
• ISBN-13: 978-0077567668

Prerequisites

MATH 1314 or placement by testing

Outcomes

• 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.
• Apply the Central Limit Theorem to the sampling process.
• 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.

MATH 1350 - Foundations of Mathematics I, 3 Credits

Description

This is designed specifically for students who seek elementary and middle school teacher certification. Topics include set theory, functions, numerations systems, number theory, emphasis on problem solving and critical thinking.

Textbook for Math 1350 and Math 1351

Mathematical Reasoning for Elementary School Teachers
Calvin T. Long, Duane W. De Temple, Richard S. Millman
Addison Wesley; 6th edition

• ISBN-10: 0321693124
• ISBN-13: 978-0321693129

Prerequisite

MATH 1314 or placement by testing

Outcomes

• Use models and manipulatives to demonstrate the four basic operations of the rational numbers.
• Demonstrate an understanding of place value through multiple representations including the use of grouping manipulatives, place value manipulatives and abstract representations such as with exponents and different number bases.
• Demonstrate an understanding of the attributes of numeration systems.
• Analyze mathematical situations and solve problems using mathematical heuristics.

MATH 1351 - Foundations of Mathematics II, 3 Credits

Textbook for Math 1350 and Math 1351

Mathematical Reasoning for Elementary School Teachers
Calvin T. Long, Duane W. De Temple, Richard S. Millman
Addison Wesley; 6th edition

• ISBN-10: 0321693124
• ISBN-13: 978-0321693129

Description

This is designed specifically for students who seek elementary and middle school teacher certification. Topics include concepts of geometry, probability, and statistics, as well as applications of the algebraic properties of real numbers to concepts of measurement with an emphasis on problem solving and critical thinking.

Prerequisites

MATH 1314 or placement by testing

Outcomes

• Explore the geometric attributes of physical objects in order to classify and to form definitions.
• Analyze spatial characteristics such as direction, orientation, and perspective.
• Connect geometric ideas to numbers and measurement.
• Use geometric models to solve problems.
• Explore and understand measurement and estimation.
• Analyze data and statistics.
• Use probability with simple and complex experiments.
• Understand surface area and volume through discovery.

MATH 2318 - Linear Algebra, 3 Credits

Description

Matrices and linear systems, determinants, vector spaces, linear independence, basis and dimension, change of basis, linear transformations, similarity, inner product spaces, eigenvalues and eigenvectors, and diagonalization. Applications of these concepts will also be considered.

Textbook

TBA

Prerequisites

MATH 2414 or placement by testing

Outcomes

• 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.
• Construct proofs using definitions and basic theorems.

MATH 2320 - Differential Equations, 3 Credits

Description

Linear equations, solutions in series, solutions using Laplace transforms, systems of differential equations and applications to problems in engineering and allied fields. The student may elect to include a technology lab component at some colleges.

Textbook

TBA

Prerequisites

MATH 2414 or placement by testing

Outcomes

• Identify homogeneous equations, homogeneous equations with constant coefficients, and exact and linear differential equations.
• Solve ordinary differential equations and systems of equations using:
  • Direct integration
  • Separation of Variables
  • Reduction of Order
  • Methods of Undetermined Coefficients and Variation of Parameters
  • Series Solutions
  • Operator Methods for finding particular solutions
  • 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

MATH 2412 - Precalculus, 4 Credits

Description

An integrated treatment of the concepts necessary for calculus, emphasizing elementary functions and their graphs, including polynomial, rational, exponential, logarithmic and trigonometric functions, also includes topics from analytic geometry.

Textbook for Math 1316 and Math 2412

Precalculus
Michael Sullivan
Addison Wesley; 9th edition

• ISBN-10: 0321716833
• ISBN-13: 978-0321716835

Prerequisites

Math 1314 and Math 1316 or placement by testing

Outcomes

• 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.
• Apply the binomial theorem.
• Determine equations of conic sections, and graph conics, including translation and identification of vertices, foci and asymptotes.
• Perform basic operations and solve applications using vector algebra.
• Perform operations and graph equations using polar and parametric equations.
• Prove statements using mathematical induction.
• Use properties of arithmetic and geometric sequences and series to identify terms, find sums and solve applications.

MATH 2413 - Calculus I, 4 Credits

Description

Functions, limits, continuity, differentiation and integration of algebraic and trigonometric functions, applications of differentiation and an introduction to applications of the definite integral.

Textbook

Calculus: Early Transcendentals, Alternate Edition with EWA
James Stewart
Brooks Cole; 7th edition

• ISBN-13: 9780840058454

Prerequisites

MATH 2412 or placement by testing

Outcomes

• 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.
• Use implicit differentiation to solve related rates problems.

MATH 2414 - Calculus II, 4 Credits

Description

Differentiation and integration of exponential and logarithmic functions, techniques of integration, applications of the definite integral, the calculus of transcendental functions, parametric equations, polar coordinates, indeterminate forms, improper integrals, L’Hopital’s Rule, sequences and series.

Textbook

Calculus: Early Transcendentals, Alternate Edition with EWA
James Stewart
Brooks Cole; 7th edition

• ISBN-13: 9780840058454

Prerequisites

MATH 2413 or placement by testing

Outcomes

• 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 parametric equations and polar coordinates to find areas, lengths of curves, and representations of conic sections.
• Apply L'hôpital's Rule to evaluate limits of indeterminate forms.

MATH 2415 - Calculus III, 4 Credits

Description

The algebra and geometry of vectors; topics from the calculus of multivariable functions including limits, continuity, partial derivatives, directional derivatives, the gradient, extreme values, multiple integration and vector calculus. The student may elect to include a technology lab component at some colleges.

Textbook for Spring 2013

Calculus
James Stewart
Brooks Cole; 7th edition

• ISBN-10: 0538497815
• ISBN-13: 978-0538497817

Textbook starting Summer 2013

Calculus: Early Transcendentals, Alternate Edition with EWA
James Stewart
Brooks Cole; 7th edition

• ISBN-13: 9780840058454

Prerequisites

MATH 2414 or placement by testing

Outcomes

• 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.
• Explore selected topics of solid analytic geometry pertaining to lines and planes.
• Use the cylindrical and spherical coordinate systems.
• Use three space vector operations.
• Acquire a graphic and algebraic understanding of quadratic surfaces.
• Analyze and apply the concepts of limits and continuity to multivariable functions.