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## Course Descriptions By Subject

Mathematics

MTH 010 Whole Numbers, Fractions, Decimals

Prerequisite: Placement by the LCC math test or consent of the instructor. Students will review whole number skills and learn to compute with fractions and decimals. Concepts, problem solving, and applications will be integrated into the curriculum to increase students' abilities and to extend their understanding of basic math principles in preparation for higher level math courses. Effective math study strategies and math anxiety issues will be discussed to increase students' confidence in their abilities to succeed in math classes and to use math in daily life. MTH010 is intended for students who need to strengthen their basic math skills before moving on to MTH020.

MTH 020 Math Renewal

This course begins with a review of whole number, fraction, and decimal arithmetic that includes rounding, estimation, order of operations, averages, and the solving of one-step equations. This review is followed by an introduction to ratios, proportions, percent, measurement, and basic geometry in a problem-solving context, with the review skills integrated throughout. Some applications for technical careers will be incorporated for students in professional technical programs.

MTH 025 Basic Mathematics Applications

MTH 025 is a course in the application of basic mathematics to everyday situations. Topics include applications involving budget and retirement, simple and compound interest, mortgage and charge options, household and garden, health formulas, food preparation, measurement systems, markup and discounts. This course will include skill maintenance and explorations, and may involve group work and projects.

MTH 052 Math for Health and Physical Sciences

This is a pre-algebra level course in professional-technical mathematics used in chemistry, dosage computation, and other science-related courses. Topics include unit conversions, metrics, scientific notation, significant figures, rates, proportions, percent applications, graphs, algebra of units, and logarithms for pH.

MTH 060 Beginning Algebra

Topics include a selective review of arithmetic, tables and graphs, signed numbers, problem solving, linear equations, linear inequalities, ratio and proportion, and unit analysis. MTH 060 prepares students for Elementary Algebra, MTH 065. MTH 060 and MTH 065 provide a two-term sequence preparatory to Intermediate Algebra, MTH 095.

MTH 065 Elementary Algebra

This is the second term of a two-term sequence in introductory algebra. Students having successfully completed MTH 060 should continue with this course in preparation for taking Intermediate Algebra (MTH 095). Topics include systems of linear equations, exponents, polynomials, factoring, quadratic equations, introduction to functions, and rational expressions.

MTH 070 Introductory Algebra

This course is a fast-paced review of algebra for students with recent algebra experience. For students without recent algebra experience, MTH 060 and MTH 065 provide a more relaxed and thorough introduction to the subject. (Qualified students who are unsure whether to take MTH 070 or MTH 060 should seek the advice of a Counselor or Advisor.) MTH 070 prepares students for Intermediate Algebra (MTH 095). Topics include a selective review of arithmetic, tables and graphs, signed numbers, problem solving, linear equations, linear inequalities, ratios and proportions, unit analysis, systems of linear equations, polynomials, factoring, quadratic equations, introduction to functions, rational expressions, and exponents.

MTH 075 Applied Algebra for Technicians

MTH 075 Applied Algebra is a first course in algebra skills needed for technical mathematics, which includes the following: signed numbers, positive and negative exponents, scientific notation, forming expressions and equations from real situations, ratio and proportion, the Cartesian coordinate systems, rates of change, slope, linear equations, linear systems, quadratic equations, graphs, tables, charts, data analysis and problem solving. The course will emphasize clear communication of mathematical results. Application problems are realistic with some data to be collected, analyzed and discussed in group setting with results submitted in written form.

MTH 085 Applied Geometry for Technicians

MTH 085 Applied Geometry includes the following: linear, square, and cubic units, dimensional analysis in metric and US customary measures, problem solving, angle measure, properties of pairs of angles formed by system of parallel, perpendicular, and transversal lines; perimeter and area of polygons and circles; surface area and volume of solid figures such as prisms and pyramids; similarity, ratio, and proportion, right triangle trigonometry.  Oblique triangle trigonometry is an optional topic. Some algebra topics from MTH 075 will be applied. The course will emphasize clear communication of mathematical results. Application problems are realistic with some data to be collected, analyzed, and discussed in group setting with results submitted in written form.

MTH 095 Intermediate Algebra

Topics include equations, function notation, polynomials, coordinate graphing, rational equations, radical equations, exponents, quadratic functions, absolute value equations and inequalities, exponential and logarithmic functions, inequalities and problem solving methods. This course provides a foundation for MTH 097, MTH 105-107, MTH 111, or MTH 211 or MTH 213.

MTH 097 Geometry

A course in informal geometry covering the study of lines, planes, polygons, circles, solids, area, perimeter, volume, surface area, Pythagorean Theorem, congruence, and similar figures. Applications and exploration of geometry topics rather than proofs will be stressed. MTH 097 is strongly recommended for MTH 111 and MTH 112.

MTH 098 Math Literacy

In this course students communicate quantitatively using large numbers, percentages, and rates of change. Students perform calculations using formulas and dimensional analysis, and read and create graphs to present real-world data.

MTH 105A Support for Math In Society

This support course focuses on the foundational skills and concepts needed to be persistent and successful in MTH 105Z (Math in Society). Students will receive appropriate support as needed in arithmetic, algebra, problem-solving, technology, and study skills in an interactive setting. This course is intended to be taken concurrently with MTH 105Z.

MTH 105Z Math in Society

An exploration of present-day applications of mathematics focused on developing numeracy. Major topics include quantitative reasoning and problem-solving strategies, probability and statistics, and financial mathematics; these topics are to be weighted approximately equally. This course emphasizes mathematical literacy and communication, relevant everyday applications, and the appropriate use of current technology. This course is part of the Oregon Common Course Numbering System.

MTH 106 Math in Society 2

An exploration of present-day applications of mathematics focused on developing numeracy. Major topics include linear and exponential modeling, scheduling, history and uses of geometry. MTH 105Z, 106, and 107 may be taken in any order.

MTH 107 Math in Society 3

An exploration of present-day applications of mathematics focused on developing numeracy. Major topics include at least three of the following: voting systems, methods of fair division, apportionment, networks, graph theory. MTH 105Z, 106, 107 may be taken in any order.

MTH 111Z Precalculus I: Functions

A course primarily designed for students preparing for trigonometry or calculus. This course focuses on functions and their properties, including polynomial, rational, exponential, logarithmic, piecewise-defined, and inverse functions. These topics will be explored symbolically, numerically, and graphically in real life applications and interpreted in context. This course emphasizes skill building, problem solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of present-day technology. This course is part of the Oregon Common Course Numbering System.

MTH 112Z Precalculus II: Trigonometry

A course primarily designed for students preparing for calculus and related disciplines. This course explores trigonometric functions and their applications as well as the language and measurement of angles, triangles, circles, and vectors. These topics will be explored symbolically, numerically, and graphically in real-life applications and interpreted in context. This course emphasizes skill building, problem solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of present-day technology. This course is part of the Oregon Common Course Numbering System.

MTH 199A Corequisite Support for MTH 105 (Math in Society)

This support course focuses on the foundational skills and concepts needed to be persistent and successful in MTH 105Z (Math in Society). Students will receive appropriate support as needed in arithmetic, algebra, problem-solving, technology, and study skills in an interactive setting. This course is intended to be taken concurrently with MTH 105Z.

MTH 211 Fundamentals of Elementary Mathematics 1

Prerequisite: MTH 095 completed with a grade of “C-“ or better within the past two years or placement by the College’s Math Placement Process. The course includes a survey of mathematical topics for those interested in the presentation of mathematics at the K-9 levels. A variety of manipulative and heuristic problem solving strategies are used. Emphasis is on problem solving, patterns, sequences, set theory, an introduction to logic, numeration systems, number bases, arithmetic operations with whole numbers and integers, and number theory.

MTH 212 Fundamentals of Elementary Mathematics 2

Prerequisite: MTH 211 completed with a grade of "C-" or better within the past two years. The course includes a survey of mathematical topics for those interested in the presentation of mathematics at the K-9 levels. A variety of manipulative and heuristic problem solving strategies are used. Emphasis is on problem solving, rational numbers (as fractions and decimals), irrational and real numbers, proportional reasoning, percent, using elementary algebra (use of variables, equation solving, relations and functions), and an introduction to probability.

MTH 213 Fundamentals of Elementary Mathematics 3

Prerequisite: MTH 211 or MTH 212 completed with a grade of "C-" or better within the past two years. The course includes a survey of mathematical topics for those interested in the presentation of mathematics at the K-9 levels. A variety of manipulative and heuristic problem solving strategies are used. Emphasis is on problem solving, elementary statistics, introductory geometry (basic definitions, vocabulary, polygons, angles, 2-3 dimensional geometry, congruence, constructions, similarity), transformational geometry, and measurement systems.

MTH 231 Discrete Mathematics 1

This course covers formal logic, methods of proof, sequences, recursion, and mathematical induction. Also included are combinatorics, set and graph theory, and trees.

MTH 232 Discrete Mathematics 2

This course covers functions, relations, Pigeonhole principle, isomorphisms, Boolean algebras, and recursion.

MTH 241 Elementary Calculus 1

Prerequisite: MTH 111 completed with a grade of “C-“ or better within the past two years or placement by the College’s Math Placement Process. Differential calculus (without Trigonometry) for business and social sciences. Some review of algebraic techniques. Major emphasis is on limits; continuity; derivatives with applications; and exponential and logarithmic functions, their derivatives and applications.

MTH 242 Elementary Calculus 2

Prerequisite: MTH 241 completed with a grade of "C-" or better completed within the past two years. Integral calculus (without Trigonometry) for business and social sciences. Integration and applications for single variable functions, techniques of integration, partial differentiation methods for multivariate functions and their relative extrema.

MTH 251 Differential Calculus

This course explores limits, continuity, derivatives, and their applications for real-valued functions of a single variable. These topics will be explored graphically, numerically, and symbolically in real-life applications. This course emphasizes abstraction, problem-solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of technology.

MTH 252 Integral Calculus

This course explores Riemann sums, definite integrals, and indefinite integrals for real-valued functions of a single variable. These topics will be explored graphically, numerically, and symbolically in real-life applications. This course emphasizes abstraction, problem-solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of technology.

MTH 253 Calculus: Sequences and Series

This course explores real-valued sequences and series, including power and Taylor series. Topics include convergence and divergence tests and applications. These topics will be explored graphically, numerically, and symbolically. This course emphasizes abstraction, problem-solving, reasoning, communication, connections with other disciplines, and the appropriate use of technology.

MTH 254 Vector Calculus 1 (Introduction to Vectors and Multidimensions)

This course provides a major emphasis on three-dimensional vectors and differential calculus of several variables.

MTH 255 Vector Calculus 2 (Introduction to Vector Analysis)

This course provides a major emphasis on multiple integration, vector fields, and applications.

MTH 256 Applied Differential Equations

An introductory course in differential equations and their applications. The course covers methods of solving ordinary differential equations including first order linear and nonlinear equations, second order linear equations, and higher order equations. Students are also introduced to the method of Laplace transforms. Applications to science and engineering are emphasized.

MTH 261 Introduction to Linear Algebra

The course covers systems of linear equations, vectors, matrices, determinants, linear transformations, dot product and cross product, and eigenvalues and eigenvectors.

MTH 265 Statistics for Scientists and Engineers

Prerequisite: MTH 252 completed with a grade of "C-" or better within the past five years. A calculus-based introduction to probability and statistics with applications to science and engineering disciplines. Topics include: data description and analysis, random variables, expectation, discrete and continuous probability theory, common probability distributions, sampling distributions, estimation, confidence intervals, hypothesis testing, control charts, regression analysis, and experimental design. This course satisfies the OSU requirement of ST 314 for engineering programs.

MTH 280 Co-op Ed: Mathematics

This internship course offers a work experience as a math tutor on a Lane campus or in an area K-12 school. Students devote a prearranged number of hours each week to classroom observation and possible assistance to the instructor, as well as direct student contact in a one-to-one or group situation.