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Mathematics Courses Mathematics MATH 28: Math Fundamentals I Units: 4 Prerequisites: None Lecture 3.50 hours, laboratory 1.50 hours. Course Typically Offered: Fall, Spring This course covers the fundamentals of real numbers, pattern recognition and generalization, graphs and functions, basics of exponents, and solving of proportions and equations. It develops the relationship between realistic applications and quantitative reasoning. (Materials Fee: $20.00) MATH 30: Elementary Algebra Units: 4 Prerequisites: MATH 28 or eligibility determined by the math placement process. Lecture 4 hours. Course Typically Offered: Fall, Spring, and Summer Designed to prepare students for intermediate algebra, this course teaches simplifying algebraic expressions involving Mathematics, the abstract, deductive study of pattern and polynomials and rational terms; factoring; solving linear structure, is the foundation of all science and technology equations; solving quadratic and rational equations using programs, such as biological, physical, computer, behavioral, factoring; analyzing graphs of linear equations; and solving and social sciences as well as engineering. Areas of applied problems. mathematics include arithmetic, algebra, geometry, calculus, and various other theoretical and applied subjects. Students MATH 36: Intermediate Algebra- Learning Assistance for Pre- take mathematics courses to prepare for a mathematics major, Calculus to meet prerequisites in related disciplines, or to fulfill general Units: 1 education requirements. A bachelor's degree in mathematics Prerequisites: MATH 30 or eligibility determined by the math can lead to a career in a computer-related field or as an placement process actuary, accountant, mathematician, statistician, or teacher. Corequisite: MATH 126. Lecture 1 hour. Academic and Career Pathway: Math and Sciences Course Typically Offered: Fall, Spring, and Summer Contact Information This course reviews the core prerequisite skills and concepts needed for success in precalculus and is intended for Chair: Leila Safaralian Department: Mathematics students majoring in science, technology, engineering, and Dean: Michael Fino Office: Building OC3600, mathematics who are concurrently enrolled in MATH 126. https://www.miracosta.edu/ 760.757.2121 x6924 Topics include a review of computational skills developed in academics/degree-and- intermediate algebra: factoring, operations on rational and certificate-programs/math- radical expressions, exponential and logarithmic expressions and-sciences/mathematics/ and equations, functions including composition and inverses, index.html and an in-depth focus on linear and quadratic functions. Topics in MATH 36 are taught strategically throughout the semester Full-Time Faculty to provide a just-in-time instruction of prerequisite skills needed Janeen Apalatea Serena Mercado to master concepts in MATH 126 as they arise. This course is Angela Beltran Shannon Myers appropriate for students who are confident in their graphing David Bonds Lemee Nakamura and beginning algebra skills. Offered pass/no pass. Keith Dunbar Victoria Noddings MATH 64: Intermediate Algebra Scott Fallstrom Zikica Perovic Units: 4 Shawn Firouzian Brent Pickett Prerequisites: MATH 30 or eligibility determined by the math Mary Beth Headlee Beth Powell placement process. Mark Laurel Leila Safaralian Enrollment Limitation: Not open to students with prior credit in Apolinar Mariscal MATH 64S. Lecture 4 hours. Course Typically Offered: Fall, Spring, and Summer This algebra course covers radicals, exponents, concepts of relations and functions, exponential and logarithmic functions, linear and quadratic functions, and the solutions of equations from these topics. Mathematics 1 Mathematics MATH 64S: Intermediate Algebra with Integrated Support MATH 103S: Statistics with Integrated Support Units: 6 Units: 5 Prerequisites: MATH 30 or eligibility determined by the math Prerequisites: None placement process. Acceptable for Credit: CSU Enrollment Limitation: Not open to students with prior credit in Lecture 4.50 hours, laboratory 1.50 hours. MATH 32 or MATH 64. Course Typically Offered: Fall, Spring, and Summer Lecture 5 hours, laboratory 3 hours. Course Typically Offered: Fall, Spring, and Summer This course introduces the use of probability techniques, hypothesis testing, and predictive techniques to facilitate This algebra course covers radicals, exponents, concepts of decision-making. Topics include descriptive statistics; probability relations and functions, exponential and logarithmic functions, and sampling distributions; statistical inference; correlation linear and quadratic functions, and the solutions of equations and linear regression; analysis of variance, chi-square, and from these topics. It includes just-in-time support for these topics t-tests; and application of technology for statistical analysis, and is intended for students who are eligible for enrollment in including the interpretation of the relevance of statistical MATH 30, Elementary Algebra. Review topics include solving findings. Students use appropriate statistical techniques to and graphing linear equations and inequalities in one and two analyze and interpret applications based on data from a broad variables, solving and graphing systems of equations in two range of disciplines. The course includes just-in-time support for variables, factoring, algebraic operations on polynomial and these topics. rational expressions, solving quadratics using factoring, and MATH 105: Concepts and Structures of Elementary rational equations and inequalities. Mathematics I MATH 102: Math Fundamentals II: Mathematics for Life Units: 3 Units: 4 Prerequisites: MATH 64, MATH 64S, or eligibility determined by Prerequisites: MATH 28, MATH 30, or eligibility determined by the the math placement process. math placement process. Acceptable for Credit: CSU, UC Acceptable for Credit: CSU, UC Lecture 2 hours, laboratory 3 hours. Lecture 3.50 hours, laboratory 1.50 hours. Course Typically Offered: Fall, Spring Course Typically Offered: Fall, Spring, and Summer This course covers set theory, problem solving, systems of This course covers the fundamentals of logic, including numeration, elementary number theory, numerical operations, fallacies, inductive and deductive reasoning, conditional and arithmetic algorithms. It emphasizes cognitive learning and statements, and the evaluation of arguments; the basic ideas the development of problem solving strategies and techniques. of finance, including simple and compound interest, amortized Students work collaboratively in groups and/or independently loans, and retirement accounts; ideas of probability and using manipulatives and models to explore structures and applications of probability to realistic situations; and problem formulate concepts. UC CREDIT LIMITATION: Credit for MATH 105 solving and data analysis techniques. The course provides or MATH 106. students with a strong foundation in quantitative reasoning and MATH 106: Concepts and Structures of Elementary mathematical concepts applicable to everyday life situations Mathematics II and long-term decision-making strategies. (Materials Fee: Units: 3 $20.00) Prerequisites: MATH 105. MATH 103: Statistics Acceptable for Credit: CSU, UC Units: 4 Lecture 2 hours, laboratory 3 hours. Prerequisites: MATH 28 or MATH 30 or eligibility determined by Course Typically Offered: Spring the math placement process. Acceptable for Credit: CSU, UC This continuation of MATH 105 covers the mathematical Lecture 4 hours. concepts needed for teaching elementary school Course Typically Offered: Fall, Spring, and Summer mathematics. Core topics include the real number system, geometry, Pythagorean theorem, measurement in both the This course introduces the use of probability techniques, English and metric systems, transformations, and symmetry. hypothesis testing, and predictive techniques to facilitate Students must demonstrate their understanding of the concepts decision-making. Topics include descriptive statistics; probability and structures of elementary mathematics using critical and sampling distributions; statistical inference; correlation thinking. UC CREDIT LIMITATION: Credit for MATH 105 or MATH and linear regression; analysis of variance, chi-square, and 106. t-tests; and application of technology for statistical analysis, including the interpretation of the relevance of statistical findings. Students use appropriate statistical techniques to analyze and interpret applications based on data from a broad range of disciplines. UC CREDIT LIMITATION: Credit for BTEC 180/ BTEC 180H, BUS 204/BUS 204H, MATH 103, PSYC 104/PSYC 104H, or SOC 125. Some CSU campuses may also impose this credit limitation. 2 Mathematics Mathematics MATH 112: Mathematical Analysis MATH 126: Pre-Calculus I: College Algebra Units: 3 Units: 4 Prerequisites: MATH 64, MATH 64S, or eligibility determined by Prerequisites: MATH 64, MATH 64S, or eligibility determined by the math placement process. the math placement process. Acceptable for Credit: CSU, UC Enrollment Limitation: Concurrent enrollment in MATH 36 if Lecture 3 hours. prerequisite not met. Course Typically Offered: Fall, Spring, and Summer Acceptable for Credit: CSU, UC Lecture 4 hours. This course is designed around applications of mathematics Course Typically Offered: Fall, Spring, and Summer in economic and business contexts. The course addresses business models that incorporate linear, quadratic, polynomial, This course covers advanced algebra topics