## Description

Mathematics includes the study of numbers, patterns, graphs, and abstract models using analytic reasoning and systematic problem solving skills. Mathematics and mathematical reasoning are used in situations as diverse as household budgeting and space shuttle design, subjects as different as art and law, and occupations as varied as nursing and computer programming. Mathematics can be used by everyone to enhance their understanding of the world.

PCC offers developmental and pre-college math courses (numbered below 100) that focus on algebraic skills and prepare students for certificate programs, two year degree programs, and college level coursework. Math courses at PCC numbered 100 and above are equivalent and transferable to the similarly numbered courses at Oregon’s public universities. All math classes at PCC are designed to challenge students to improve their analytic reasoning, problem solving, and communication skills.

**MTH 15. Conquering Math Anxiety. 1 Credit.**

Introduces the concept of math identity and explores attitudes, emotions, and barriers towards math. Covers learning strategies to enhance math success, including math study skills, learning styles, test taking strategies, and math class preparation strategies.

**MTH 20. Fundamentals of Mathematics. 4 Credits.**

Develops arithmetic fluency and the conceptual basis, and applications of integers, fractions, decimals, percents, and measurements. A scientific calculator may be required. The TI-30XS or TI-30XIIS is recommended. The PCC math department recommends that students take MTH courses in consecutive terms. Prerequisite: (ABE 0782 or placement into MTH 20) and (placement into RD 80 or ESOL 250). Audit available.

**MTH 58. Math Literacy I. 4 Credits.**

Explores how to clearly communicate arguments supported by quantitative evidence. Investigates contextual and open-ended mathematical problems. Develops mathematical reasoning skills through interpreting information, making conjectures, communicating effectively, and verifying results. Emphasizes an understanding of the role of mathematics and how it affects decision making in life. Uses collaborative learning through in-class group interaction. Uses technology throughout the course. Prerequisites: MTH 20 and (WR 80 or ESOL 252) and (RD 80 or ESOL 250) or equivalent placement. Audit available.

**MTH 60. Introductory Algebra - First Term. 4 Credits.**

Introduces algebraic concepts and processes with a focus on linear equations, linear inequalities, and systems of linear equations. Emphasizes number-sense, applications, graphs, formulas, and proper mathematical notation. Recommended: MTH 20 be taken within the past 4 terms. The PCC math department recommends that students take MTH courses in consecutive terms. Prerequisites: MTH 20 and (RD 80 or ESOL 250) or equivalent placement. Audit available.

**MTH 65. Introductory Algebra - Second Term. 4 Credits.**

Introduces algebraic concepts and processes with a focus on polynomials, exponents, roots, geometry, dimensional analysis, solving quadratic equations, and graphing parabolas. Emphasizes number-sense, applications, graphs, formulas, and proper mathematical notation. Recommended: MTH 60 or MTH 62 be taken within the past 4 terms. The PCC math department recommends that students take MTH courses in consecutive terms. Prerequisites: (MTH 60 or MTH 62) and (RD 80 or ESOL 250) or equivalent placement. Audit available.

**MTH 70. Review of Introductory Algebra. 4 Credits.**

Reviews algebraic concepts and processes with a focus on linear equations and inequalities in one and two variables, linear systems, properties of exponents, polynomials, radicals, quadratic equations, and functions. Emphasizes applications, graphs, formulas, and proper mathematical notation. Recommended: MTH 63 or MTH 65 be taken within the past 4 terms. The PCC math department recommends that students take MTH courses in consecutive terms. Prerequisites: (MTH 63 or MTH 65) and (RD 80 or ESOL 250) or equivalent placement. Audit available.

**MTH 95. Intermediate Algebra. 4 Credits.**

Introduces algebraic concepts and processes with a focus on factoring, functions, rational expressions, solving equations (quadratic, rational, radical, absolute value), and solving inequalities. Emphasizes number-sense, applications, graphs, formulas, and proper mathematical notation. Recommended: MTH 63 or MTH 65 or MTH 70 be taken within the past 4 terms. The PCC math department recommends that students take MTH courses in consecutive terms. Prerequisites: (MTH 63 or MTH 65 or MTH 70) and (RD 90 and WR 90) or IRW 90 or equivalent placement. Audit available.

**MTH 98. Math Literacy II. 4 Credits.**

Covers formulating and clearly communicating arguments supported by quantitative evidence with emphasis on data analysis. Uses data to collaboratively engage with contextual and open-ended mathematical problems. Emphasizes use of mathematical and statistical reasoning through interpreting information, making conjectures, communicating effectively, and verifying results. Emphasizes an understanding of the role of mathematics and how it affects decision making in life. Uses collaborative learning through in-class group interaction. Uses technology throughout the course. Prerequisites: (MTH 58 or MTH 63 or MTH 65 or MTH 70) and (RD 90 or ESOL 260) and (WR 90 and ESOL 262) or IRW 90 or equivalent placement. Audit available.

**MTH 105Z. Math in Society (MTH105=MTH105Z). 4 Credits.**

Focuses on developing numeracy through the exploration of present-day applications of mathematics. Includes major topics such as quantitative reasoning and problem-solving strategies, probability and statistics, and financial mathematics; these topics are to be weighted approximately equally. Emphasizes mathematical literacy and communication, relevant everyday applications, and the appropriate use of current technology. This course is part of Oregon Common Course Numbering. MTH 105 and MTH 105Z are equivalent. The PCC Mathematics Department recommends that students take MTH courses in consecutive terms. Prerequisites: (MTH 95 or MTH 98) and (RD 115 and WR 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 111Z. Precalculus I: Functions (MTH111=MTH111Z). 4 Credits.**

Provides preparation for trigonometry or calculus. Focuses on functions and their properties, including polynomial, rational, exponential, logarithmic, piecewise-defined, and inverse functions. Explores topics symbolically, numerically, and graphically in real-life applications and interprets them in context. 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 Oregon Common Course Numbering. MTH 111 and MTH 111Z are equivalent. The PCC Mathematics Department recommends that students take MTH courses in consecutive terms. Prerequisites: MTH 95 and (RD 115 and WR 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 112Z. Precalculus II: Trigonometry (MTH112=MTH112Z). 4 Credits.**

Provides preparation for calculus and related disciplines. Explores trigonometric functions and their applications as well as the language and measurement of angles, triangles, circles, and vectors. Explores topics symbolically, numerically, and graphically in real-life applications and interprets them in context. Emphasizes skill building, problem solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of present-day technology. Introduces the polar coordinate system. This course is part of Oregon Common Course Numbering. MTH 112 and MTH 112Z are equivalent. The PCC Mathematics Department recommends that students take MTH courses in consecutive terms. Recommended: MTH 111Z taken within the past four terms. Prerequisites: MTH 111Z and (RD 115 and WR 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 211. Foundations of Elementary Math I. 4 Credits.**

Examines the conceptual basis of K-8 mathematics using collaborative learning through in-class group interaction. Provides opportunities to experience using manipulatives to model problem solving, numeration systems, operations, patterns and change, and number theory. Emphasizes quantitative and algebraic reasoning. Includes content and mathematical practices based on the Common Core State Standards. Prerequisite: MTH 95 or MTH 98 or higher, and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 212. Foundations of Elementary Math II. 4 Credits.**

Examines the conceptual basis of K-8 mathematics using collaborative learning through in-class group interaction. Provides opportunities to experience using manipulatives to model operations with rational numbers including fractions, decimals, percents, and integers. Explores the set of irrational numbers, the set of real numbers, proportional reasoning, and simple probability and statistics. Includes content and mathematical practices based on the Common Core State Standards. Prerequisite: MTH 211 and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 213. Foundations of Elementary Math III. 4 Credits.**

Examines the conceptual basis of K-8 mathematics using collaborative learning through in-class group interaction. Provides opportunities to experience using manipulatives to model problem solving, explore patterns and relationships among geometric figures and develop spatial reasoning. Explores informal geometry, transformational geometry, and measurement systems. Includes content and mathematical practices based on the Common Core State Standards. Prerequisite: MTH 211 and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 241. Calculus for Management, Life and Social Science. 4 Credits.**

Includes limits, continuity, derivatives, and integrals. Investigates applications from science, business, and social science perspectives. Graphing calculator required. TI-89 Titanium or Casio Classpad recommended. Prerequisite: (MTH 111Z or MTH 111B or MTH 111C) and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 244. Statistics II. 4 Credits.**

Includes confidence interval estimation; tests of significance including z-tests, t-tests, ANOVA, and chi-square; and inference for linear regression. Investigates applications from science, business, and social science perspectives. Graphing calculator with advanced statistical programs and/or computer software required; see instructor. Prerequisites: MTH 243 and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 251. Calculus I. 4 Credits.**

Includes limits, continuity, derivatives, and applications of differentiation. Graphing and Computer Algebra System (CAS) technology are used, such as Desmos and/or GeoGebra which are available at no cost. The PCC math department recommends that students take math courses in consecutive terms. Prerequisites: (MTH 112Z or CMET 131) and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 252. Calculus II. 4 Credits.**

Includes antiderivatives, the definite integral, techniques of integration, improper integrals, and applications of differentiation and integration. Graphing and Computer Algebra System (CAS) technology are used, such as Desmos and/or GeoGebra which are available at no cost. The PCC math department recommends that students take math courses in consecutive terms. Prerequisite: MTH 251 and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 253. Calculus III. 5 Credits.**

Includes topics and applications in infinite sequences and series (including Taylor series) and an introduction to differential equations and modeling. Graphing and Computer Algebra System (CAS) technology are used, such as Desmos and/or GeoGebra which are available at no cost. The PCC math department recommends that students take math courses in consecutive terms. Prerequisite: MTH 252 and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 254. Vector Calculus I. 5 Credits.**

Includes geometry of space, multivariate and vector-valued functions from a graphical, numerical, and symbolic perspective, differentiation and integration of vector-valued functions, partial differentiation, and multiple integration of multivariate functions. Graphing and Computer Algebra System (CAS) technology are used, such as GeoGebra which is available at no cost. The PCC math department recommends that students take math courses in consecutive terms. Prerequisite: MTH 252 and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 255. Vector Calculus II. 5 Credits.**

Includes triple integration of multivariate functions, change of variables in multiple integrals, Green's Theorem, Stokes' Theorem, the Divergence Theorem, and applications of multivariate calculus. Graphing and Computer Algebra System (CAS) technology are used, such as GeoGebra which is available at no cost. The PCC math department recommends that students take math courses in consecutive terms. Prerequisites: MTH 254 and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

**MTH 256. Differential Equations. 5 Credits.**

Includes a variety of differential equations and their solutions, with emphasis on applied problems in engineering and physics. Uses differential equations software. Students communicate results in oral and written form. Graphing and Computer Algebra System (CAS) technology are used, such as Desmos and/or GeoGebra which are available at no cost. Recommended: MTH 254. Prerequisites: (MTH 252 and MTH 261) and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**MTH 261. Applied Linear Algebra I. 5 Credits.**

Covers elementary linear algebra with a focus on n-space and applications. Includes linear systems, vectors in n-space, vector space properties of n-space, and matrix algebra, including eigenspaces. Graphing and Computer Algebra System (CAS) technology are used, such as Desmos and/or GeoGebra which are available at no cost. Prerequisites: MTH 252 and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI

**STAT 243Z. Elementary Statistics I (MTH/STAT243=STAT243Z). 4 Credits.**

Focuses on the interpretation and communication of statistical concepts. Introduces exploratory data analysis, descriptive statistics, sampling methods and distributions, point and interval estimates, hypothesis tests for means and proportions, and elements of probability and correlation. Uses technology when appropriate. This course is part of Oregon Common Course Numbering. MTH 243, STAT 243, and STAT 243Z are equivalent. The PCC Mathematics Department recommends that students take MTH courses in consecutive terms. Prerequisites: MTH 95 or MTH 98 or higher, and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

This course fulfills the following GE requirements: Science, Math, and Computer Sci/SCI