Mathematics

Classes

MTH 20: Fundamentals of Mathematics

Credits 4

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 OCCC math department recommends that students take MTH courses in consecutive terms.

Addendum to Course Description

  1. Students will be evaluated not only on their ability to get correct answers and perform correct steps, but also on the accuracy of the presentation itself.
  2. Application problems must be answered in complete sentences.

MTH 58: Math Literacy I

Credits 4

Introduces pattern recognition, estimation and number sense, working with units, spreadsheets, linear equations and inequalities. Explores how to clearly communicate arguments supported by quantitative evidence using words, tables, graphs, and mathematical equations. Supports collaborative learning through class group interaction. TI-83 or TI-84 calculator required.

MTH 60: Introductory Algebra - First Term

Credits 4

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. Prerequisites: MTH 20 and (RD 80 or ESOL 250) or equivalent placement. The OCCC math department recommends that students take MTH courses in consecutive terms. Audit available.

Addendum to Course Description

A scientific calculator and access to a graphing utility may be required.

Students are no longer required to have physical graphing calculators in MTH 60, 65, 70, 95, 111, and 112. Where physically possible, instructors will demonstrate using Desmos, GeoGebra, or other online programs in class. Assessments requiring the use of a graphing utility may be done outside of proctored exams.

MTH 65: Introductory Algebra - Second Term

Credits 4

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. The OCCC math department recommends that students take MTH courses in consecutive terms.

Addendum to Course Description

A scientific calculator and access to a graphing utility may be required.

Students are no longer required to have physical graphing calculators in MTH 60, 65, 70, 95, 111, and 112. Where physically possible instructors will demonstrate using Desmos, GeoGebra, or other online programs in class. Assessments requiring the use of a graphing utility may be done outside of proctored exams.

MTH 65L: Math 65 Lab

Credits 1

Focuses on foundation skills and concepts needed to be successful in Math 65 (Introductory Algebra – Second Term). Provides support in arithmetic, algebra, problem solving, and study skills in an interactive setting.

MTH 66: Introductory Algebra

Credits 5

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. Lab time will be spent on activities that assist students in reviewing topics needed to be successful in the course.

MTH 95: Intermediate Algebra

Credits 4

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. The OCCC math department recommends that students take MTH courses in consecutive terms.

Addendum to Course Description

Access to a graphing utility will be required and a scientific calculator may be required.

Students are no longer required to have physical graphing calculators in MTH 60, 65, 70, 95, 111, or 112. Where physically possible instructors will demonstrate using Desmos, GeoGebra, or other online programs in class. Assessments requiring the use of a graphing utility may be done outside of the proctored exams.

MTH 98: Math Literacy

Credits 4

This is a survey course in mathematics for students in the liberal arts and other non-science majors. Introduces concepts from arithmetic, algebra, and introductory statistics. Explores how to clearly communicate sophisticated arguments supported by quantitative evidence using spreadsheets, words, tables, graphs, and mathematical equations, as appropriate. Supports collaborative learning through class group interaction.

MTH 105: Math in Society

Credits 4

Explores concepts and applications of logic rules, basic probability and statistics as well as personal finance models. Investigates problem solving techniques (algebraic and nonalgebraic) as well as some nontraditional mathematics topics such as social choice or discrete mathematics. Integrates technology where appropriate.

It's recommended that students take MTH courses in consecutive terms.

Math in Society is a rigorous mathematics course designed for students in Liberal Arts and Humanities majors.  The course provides a solid foundation in quantitative reasoning, symbolic reasoning, and problem solving techniques needed to be a productive, contributing citizen in the 21st century.

MTH 105L: Math 105 Lab

Credits 1

Focuses on foundation skills and concepts needed to be successful in Math 105 (Math in Society). Provides support in arithmetic, algebra, statistics, problem solving, technology, and study skills in an interactive setting.

MTH 111: College Algebra

Credits 5

Explores relations and functions graphically, numerically, symbolically, and verbally. Examines exponential, logarithmic, polynomial, and rational functions. Investigates applications from a variety of perspectives. Graphing technology is required, such as Desmos and/or GeoGebra which are available at no cost. It's recommended that students take MTH courses in consecutive terms.

Students are no longer required to have physical graphing calculators in either MTH 95 or MTH 111. Where physically possible instructors will demonstrate using Desmos, GeoGebra, or other online programs in class. Assessments requiring the use of a graphing calculator will be done outside of the proctored exam grade component.

MTH 112: Elementary Functions

Credits 5

Investigates trigonometric functions, equations and identities. Examines right and oblique triangles, vectors, polar coordinates, parametric equations, and complex numbers. Explores topics graphically, numerically, symbolically, and verbally. Graphing technology is required, such as Desmos and/or GeoGebra which are available at no cost. It's recommended that students take MTH courses in consecutive terms.

Students are no longer required to have physical graphing calculators in MTH 112.

Where physically possible instructors will demonstrate using Desmos, GeoGebra, or other online programs in class. Assessments requiring the use of a graphing calculator will be done outside of the proctored exam grade component.

MTH 211: Foundations of Elementary Math I

Credits 4

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.

MTH 212: Foundations of Elementary Math II

Credits 4

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.

MTH 213: Foundations of Elementary Math III

Credits 4

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.

MTH 231: Elements of Discrete Mathematics I

Credits 4

An introductory course in discrete mathematics covering elementary logic and set theory, functions, relations, direct and indirect proof techniques, mathematical induction, recursion, elementary combinatorics, basic graph theory, and minimal spanning trees. Applications of these topics in computer science are stressed.

MTH 232: Elements of Discrete Mathematics II

Credits 4

The second course in discrete mathematics for mathematics and computer science majors. Topics include basic matrix linear algebra, combinatorics, graph theory and algorithms.

MTH 241: Calculus for Management, Life and Social Science

Credits 4

This course is designed for non-mathematics majors in business, life or social science. Includes limits, continuity, derivatives, and integrals. Investigates applications from science, business, and social science perspectives.

MTH 243: Statistics I

Credits 5

Introduces displaying data with graphs, numerical descriptions of data, producing data, elementary probability, probability distributions, confidence intervals and significance testing. Investigates applications from science, business, and social science perspectives. Graphing calculator with advanced statistical programs and/or computer software required; see instructor.

This is the first term of a two-term sequence (MTH 243 and 244) that is intended to provide an introduction to statistics in a data-based setting.

MTH 243L: Math 243 Lab

Credits 1

Focuses on foundation skills and concepts needed to be successful in Math 243 (Statistics I). Provides support in arithmetic, algebra, statistics, technology, and study skills in an interactive setting.

MTH 244: Statistics II

Credits 4

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.

This is the second term of a two-term sequence (MTH 243 and MTH 244).  This course is intended to provide an introduction to statistics in a data-based setting.

MTH 251: Calculus I

Credits 5

Includes limits, continuity, derivatives and some applications of derivatives. Graphing technology is required, such as Desmos and/or GeoGebra which are available at no cost.

Addendum to Course Description

This is the first course of four courses in the Calculus sequence. Students will be required to have physical graphing calculators in MTH 251. Where physically possible instructors will demonstrate using Desmos, GeoGebra, or other online programs in class. Assessments requiring the use of a graphing calculator will be done outside of the proctored exam grade component.

MTH 252: Calculus II

Credits 5

Includes antiderivatives, the definite integral, topics of integration, improper integrals, and applications of differentiation and integration. Graphing technology is required, such as Desmos and/or GeoGebra which are available at no cost.

Addendum to Course Description

This class is a foundational course for many STEM majors. Some topics are of particular importance for students continuing into MTH 253 including: using L’Hospital’s rule to evaluate limits, improper integrals, and error estimates for definite integrals. Students may be taking this course concurrently with calculus based physics courses. It can be beneficial for these students if the integral symbol is introduced early on to represent anti-derivatives.  Partial fractions are a particularly important technique for engineering students (which will be revisited in MTH 253 and MTH 256). Students should be able to do simple partial fraction expansions by hand, but may use the “expand” command on their CAS for more complicated problems. Because this course is also a pre-requisite for MTH 261, logic and correct application of theorems should be emphasized. Students will be required to have physical graphing calculators in MTH 252. Where physically possible instructors will demonstrate using Desmos, GeoGebra, or other online programs in class. Assessments requiring the use of a graphing calculator will be done outside of the proctored exam grade component.

MTH 253: Calculus III

Credits 5

Includes infinite sequences and series (including Taylor series), vectors, and geometry of space. Graphing calculator required. TI-89 Titanium or Casio Classpad 330 recommended.

Addendum to Course Description

This is the third course of four courses in the Calculus sequence.

MTH 254: Vector Calculus I

Credits 5

Includes multivariate and vector-valued functions from a graphical, numerical, and symbolic perspective. Applies integration and differentiation of both types of functions to solve real world problems.