Math

For students interested in studying math, Centralia College offers two degree tracks  - an Associate in Arts and an Associate in Math Education.

math iconTrack 1 - Associate in Arts Degree

Emphasis: Mathematics
Degree: Associate in Arts

The Associate in Arts degree with an emphasis in Mathematics is for students interested in transferring to a four-year college or university to complete a bachelor’s degree in mathematics.

Track 1 Education PLan

  • If you are not well prepared in high school math, you should plan, with your advisor, a three-year program to prepare for transfer to a four-year college or university.
  • The emphasis in the first year should be on strengthening your math, basic science, communication, and reading skills.
  • Math classes listed below or dependent on placement.
  • Recommended courses - BIOL& 221-223, 241-242 and PHYS& 221-223

Fall Quarter

  • MATH& 141 Pre-Calculus I OR MATH& 142 Pre-Calculus II - 5 credits
  • Health and Fitness Distribution - 1 credit
  • Humanities Distribution - 5 credits
  • Social Science Distribution - 5 credits

Winter Quarter

  • ENGL& 101 English Composition - 5 credits
  • MATH& 142 Pre-Calculus II OR MATH& 151 Calculus I - 5 credits
  • MATH& 151 Calculus I - 5 credits
  • MATH 156 Calculus I Lab - 1 credit
  • Social Science Distribution - 5 credits

Spring Quarter

  • ENGL& 102 Composition II - 5 credits
  • MATH& 151 Calculus I OR MATH& 152 Calculus II - 5 credits
  • Health and Fitness Distribution - 1 credit
  • Social Science Distribution - 5 credits

Fall Quarter

  • MATH 118 Linear Algebra - 5 credits
  • MATH& 152 Calculus II OR MATH& 146 Introduction to Statistics- 5 credits
  • Humanities Distribution - 5 credits
  • Natural Science Distribution - 5 credits 

Winter Quarter

  • MATH& 163 Calculus III - 5 credits
  • Humanities Distribution - 5 credits
  • Natural Science Distribution - 5 credits

Spring Quarter

  • MATH 212 Differential Equations OR MATH 228 Discrete Mathematics - 5 credits
  • MATH 264 Calculus IV - 5 credits
  • Health and Fitness Distribution - 1 credit
  • Natural Science Distribution - 5 credits

  

Track 2 - Associate in Math Education

Degree: Associate in Math Education – DTA/MRP
Emphasis: Mathematics Education

The Associate in Math Education is intended to prepare students who want to be secondary math teachers. Students who complete this degree will have completed lower division general education requirements and the prerequisites for a major in math.

Track 2 Education Plan

Fall Quarter

  • ENGL& 101 English Composition I - 5 credits
  • MATH& 141 Pre-Calculus I OR MATH& 142 Pre-Calculus II* - 5 credits
  • Humanities Distribution - 5 credits

Winter Quarter

  • ENGL& 102 Composition II - 5 credits
  • MATH& 142 OR MATH& 151 Calculus II - 5 credits
  • CMST& 220 Public Speaking - 5 credits

Spring Quarter

  • PSYC& 100 General Psychology - 5 credits
  • MATH& 151 Calculus I OR MATH& 152 Calculus II - 5 credits
  • Humanities Distribution - 5 credits

* Math classes are dependent on placement.

Fall Quarter

  • MATH 118 Linear Algebra - 5 credits
  • MATH& 152 Calculus II OR MATH& 146 Introduction to Statistics - 5 credits
  • Natural Science Distribution* - 5 credits
  • Social Science Distribution - 5 credits

Winter Quarter

  • EDUC& 201 Introduction to Education - 3 credits
  • MATH& 163 Calculus III - 5 credits
  • Health and Fitness Distribution - 3 credits
  • Social Science Distribution - 5 credits

Spring Quarter

  • EDUC 202 Classroom Observation - 2 credits
  • MATH 264 Calculus IV - 3 credits
  • MATH 212 Elementary Differential Equations OR MATH 228 Discrete Mathematics - 5 credits
  • Natural Science Distribution* - 5 credits

* Physics, chemistry, geology or biology - at least one lab science is required.

 

Math Classes

For students who need to review basic math concepts such as whole number, fraction and decimal operations. Appropriate placement test scores.
Covers percents, proportions, unit conversions, geometry, simplifying algebraic expressions and solving simple first degree linear equations. Prerequisite: MATH 095 or appropriate test score placement.
An algebra course for students intending to enroll in MATH& 146, Introduction to Statistics. This course does not meet the algebra prerequisite or other quantitative skills courses or for transfer to the University of Washington. Prerequisite: MATH 096 or Compass score of 78+. 
For students with good arithmetic skills and familiarity with signed numbers and basic algebraic expressions. Problem- solving skills are emphasized. Topics include: linear equations and inequalities, graphing, polynomials, and rational expressions. Prerequisite: MATH 096. 
Introduces the concept of functions, their graphs and properties. Particular attention will be paid to linear, quadratic, exponential and logarithmic functions. Prerequisite: MATH 098 or equivalent. 
Designed to enhance math proficiency of liberal arts students as they meet personal and professional demands. Includes mathematics in management, statistics, probability, art, and other practical applications in society. Not preparation for calculus. Prerequisite: MATH 099 or equivalent. 
Computational and modeling tools with applications in physics, mathematics, engineering, economics, and business. Topics include systems of equations, matrix algebra, vector spaces, subspaces, bases, orthogonality, transformations, and eigenvalues. Prerequisite: MATH& 142 or equivalent placement. 
This class is designed to introduce mathematical concepts and applications in computer science. Topics include logic, permutations and combinations, graphs and trees, recursion, and basic modular arithmetic. Prerequisite: MATH 099 or instructor permission. 
Designed to provide the conceptual framework for teaching mathematics from kindergarten through eighth grade. Prerequisite: MATH 099 or equivalent placement score.
The second of two courses designed to provide the conceptual framework for teaching mathematics from kindergarten through eighth grade. Prerequisite: MATH& 131.
Designed as a refresher course for students who have previously had a Pre-Calculus course. Content includes everything covered in MATH 141 and MATH 142. Prerequisite: High school pre-calculus equivalent or instructor permission. 
Study of elementary functions (polynomial, exponential, logarithmic), systems of equations, matrix algebra. Modeling and problem solving techniques are emphasized from a graphic, symbolic and numeric perspective. Prerequisite: MATH 099 or equivalent placement. 
Graphical, numerical, symbolic development of trigonometric functions and their inverses as defined on the unit circle and right triangles; identities, equations, and applications; complex numbers, polar coordinates, parametric equations, vectors, conics, and sequences and series. Prerequisite: MATH& 141. 
Refreshes and enhances the necessary prerequisite skills for a college-level statistics course. Topics include algebra for statistics, spreadsheet software skills, and probabilistic reasoning. Prerequisite: MATH 097, 099 or equivalent, or instructor permission. 
Introduction to concepts of data collection, organization and summaries. Develop the fundamental concepts of mean, median and standard deviation, probability, probability distributions, and apply these ideas to hypothesis testing, linear regression and analysis of variance. Prerequisite: MATH 097, MATH 099 or equivalent. 
Linear, polynomial and rational function models. Exponential and logarithmic functions. Mathematics of finance, matrices, linear programming, set operations and probability. Prerequisite: MATH 099 or equivalent. 
An introduction to calculus concepts needed for business applications. Topics discussed are limits, derivative, integrals, and partial derivatives. Business applications are stressed. Prerequisite: MATH 147 or MATH& 141 or equivalent. 
The first in a four-quarter sequence. Limits, derivatives of algebraic and some transcendental functions, applications of derivatives, the indefinite integral. Topics covered from numerical, analytical and graphical viewpoints. Prerequisite: MATH& 142 or equivalent. 
The second in a four-quarter sequence. Covers the calculus of transcendental functions (exponential, logarithm, inverse circular, hyperbolic), techniques of integration, sequences, series, and power series. Prerequisite: MATH& 151 or equivalent. 
Analyze concepts from Calculus I using algebra-based computer software. For students currently enrolled in Calculus I or who have instructor permission. Corequisite: MATH& 151. 
Third in a four-quarter sequence. Polar coordinates, parametric equations, vectors, and vector fields, the analytic geometry of three-space, partial derivatives, and multiple integrals. Prerequisite: MATH& 152 or equivalent. 
Linear ordinary differential equations with emphasis on supporting concepts of differential operators, Wronskians, characteristic polynomials, homogeneous and nonhomogeneous cases, variation of parameters, undetermined coefficients. Solution of IVP by Laplace transforms and power series method. Prerequisite: MATH& 163. 
This class introduces the basic concepts of mathematics that are used in computer science. Topics covered include logic, mathematical induction, combinatorics, set theory, relations, and functions. Prerequisite: MATH& 142 or MATH 128. 
Introduction to data structures and implementing procedures in statistical computing languages and spreadsheet applications. Examples may include R, Python, and Excel. Provides a foundation in computation components of data analysis. Prerequisite: MATH& 146 or equivalent, or instructor permission. 
Continuation of MATH& 146. Expands on concepts of data collection, data cleaning, descriptive statistics, and inferential statistics. Emphasis is on statistical software and applications in data science. Prerequisite: MATH 245 or instructor permission. 
Fourth in a four-quarter sequence. Optimization of 2 and 3 variable functions, Lagrange Multipliers, applications and techniques of multiple integration, Green’s Theorem, Stokes Theorem, and line and surface integrals. Prerequisite: MATH& 163 or its equivalent. 
Focus is on methods of problem solving for the technical fields. Course develops mathematical vocabulary and skill with algebraic expressions, formula manipulations, graphing techniques, right triangle trigonometry, geometry, exponents, logarithms, and equation/system of equation solving. Prerequisite: MATH 098. 
Study of foundational math theory and concepts including number sense, algebra, geometry, data analysis and math vocabulary through inquiry-based learning. Does not meet Quantitative Skills distribution requirement for AA degree. Prerequisite: MATH 095 or equivalent. 
Course emphasizes trigonometric functions used to solve engineering, electronics, and mechanics application problems. Prerequisite: TMATH 100. 
Application of basic mathematical operations to specific workforce programs including common fractions, decimal fractions, percentages, ratio and proportion, practical algebra, and computations involving rectangles and triangles. Emphasizes the use of mathematics in diesel and welding. Prerequisite: MATH 095. 
Students will be introduced to math concepts relating to electronics and robotics. Topics studied will include functions, direct and inverse relationships, unit analysis, calculator operation, linear and exponential equations, and spreadsheet math operations. Prerequisite: MATH 098. 
Continuation of Electronics Math 1 -students will learn math concepts applicable to AC electronics and semiconductor device performance. Trigonometry and complex numbers will be emphasized. Prerequisite: TMATH 121. 

CONTACT

Christian Bruhn (he/him/his)
Dean of Instruction – Arts & Sciences
Office: WSC 118-A
360-623-8364
Email Christian Bruhn