Mathematics

http://www.miracosta.edu/MATH

Mathematics, the abstract, deductive study of pattern and structure, is the foundation of all science and technology programs, such as biological, physical, computer, behavioral, and social sciences as well as engineering. Areas of mathematics include arithmetic, algebra, geometry, calculus, and various other theoretical and applied subjects. Students take mathematics courses to prepare for a mathematics major, to meet prerequisites in related disciplines, or to fulfill general education requirements. A bachelor's degree in mathematics can lead to a career in a computer-related field or as an actuary, accountant, mathematician, statistician, or teacher.

Contact Information

Chair: Beth Powell

Dean: Carlos Lopez

www.miracosta.edu/MATH

Department: Mathematics

Office: Building OC3600, 760.757.2121 x6924

Full-Time Faculty

Janeen Apalatea
Peter Avery
Angela Beltran
David Bonds
Keith Dunbar
Scott Fallstrom
Nolan Fossum
Shannon Gracey
Julie Harland
Mark Laurel
Lemee Nakamura
Victoria Noddings
Zikica Perovic
Brent Pickett
Beth Powell
Mohammed G. Rajah
Leila Safaralian
John Towers

Associate Degree

Degree programs include the completion of a general education (GE) pattern of courses. The knowledge, skills, and abilities gained as a result of completing general education, referred to as GE outcomes, can be viewed here.

Associate in Science Degree

Associate in Science in Mathematics for Transfer Degree

Students completing this associate degree will have completed lower-division major preparation requirements for a mathematics degree, an emphasis or option within a mathematics degree, or a degree considered similar to mathematics at a participating California State University (CSU) campus. Following transfer to a participating CSU campus, students will be required to complete no more than 60 units to obtain a bachelor’s degree; however, some CSU campuses may require additional lower-division major preparation. This degree may not be appropriate preparation for students transferring to a CSU campus not accepting this degree or to a university or college that is not part of the CSU system. Students should consult with a MiraCosta counselor for further information regarding the most efficient pathway to transfer as a mathematics major and to determine which CSU campuses are participating in this program.

To complete the degree, students must fulfill the following requirements: 

  • Complete 60 semester (90 quarter) CSU transferable units
  • Complete all courses required in the major with a “C” or better
  • Complete the CSU-GE or CSU-IGETC* general education pattern
  • Achieve a minimum CSU transferable GPA of 2.0
  • Complete a minimum of 12 units in residence at MiraCosta College.

*Students completing UC-IGETC may be awarded the degree, but they will not meet CSU admission requirements.

Program Student Learning Outcome Statement:

  • Upon completion of this program, a student will be able to apply an appropriate technique to differentiate and integrate a function.
     
Required Core Courses: (13 units)
MATH 150Calculus and Analytic Geometry I5
or MATH 150H Calculus and Analytic Geometry (Honors)
MATH 155Calculus and Analytic Geometry II4
MATH 260Calculus and Analytic Geometry III4
List A: 4 Units. Select one course.4
Discrete Mathematics
Differential Equations
Linear Algebra
List B. 4 Units. 4
Select one course not used above.
Discrete Mathematics
Differential Equations
Linear Algebra
Total Units21

Students are strongly advised to complete the History, Constitution, and American Ideals requirement prior to transfer. It is recommended that you select courses that meet lower-division major preparation requirements at your intended transfer university.

How to Read Course Descriptions

For more detailed information about a course, such as its content, objectives, and fulfillment of a degree, certificate, or general education requirement, please see the official course outline of record, available at http://www.miracosta.edu/governance/coursesandprograms/courseoutlines.html.

Courses

MATH 20: Pre-Algebra

Units: 4
Prerequisites: None
Enrollment Limitation: Not open to students with credit in MATH 820 or MATH 820B.
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP, SU

This course prepares students for Elementary Algebra (MATH 30). Topics include operations on positive and negative numbers; fractions, decimals, and percents; perimeters, areas, and volumes of geometric figures; fundamental algebraic concepts; square roots; and applications.

MATH 30: Elementary Algebra

Units: 4
Prerequisites: MATH 20 or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with credit in MATH 830 or MATH 830B.
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP, SU

Designed to prepare students for intermediate algebra, this course teaches simplifying algebraic expressions involving polynomials and rational terms; factoring; solving linear equations; solving quadratic and rational equations using factoring; analyzing graphs of linear equations; and solving applied problems.

MATH 52: Math Fundamentals for Statistics I

Units: 4
Prerequisites: None
Lecture 3.50 hours, laboratory 1.50 hours. (1701.00)
Course Typically Offered: F, SP

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. This course is a prerequisite for MATH 95; completion of both MATH 50 and MATH 95 can serve as the equivalent to the prerequisite for BIO 180, BTEC 180, BUS 204, MATH 103, SOC 104, SOC 104H, PSYC 104, or PSYC 104H. This course is not a prerequisite for CHEM 108, MATH 105, MATH 115, MATH 126, or any college or university calculus course.

MATH 64: Intermediate Algebra

Units: 4
Prerequisites: MATH 30 or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with credit in MATH 101 or MATH 101B.
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP, SU

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.

MATH 95: Math Fundamentals for Statistics II

Units: 4
Prerequisites: MATH 52
Lecture 3.50 hours, laboratory 1.50 hours. (1701.00)
Course Typically Offered: SP

This course covers the fundamentals of logic, including conditional statements and arguments; basic ideas of finance, including simple and compound interest, amortized loans, and retirement accounts; ideas of probability and applications of probability to realistic situations; and problem solving and data analysis techniques. Completion of MATH 95 can serve as the equivalent to the prerequisite for BIO 180, BTEC 180, BUS 204, MATH 103, SOC 104, SOC 104H, PSYC 104, or PSYC 104H. This course is not a prerequisite for CHEM 108, MATH 105, MATH 115, MATH 126, or any college or university calculus course.

MATH 103: Statistics

Units: 4
Prerequisites: MATH 64 or eligibility determined by the math placement process.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP, SU

This course introduces data analysis. Topics include data collection, descriptive statistics, probability, sampling, estimation, significance testing, and correlation and regression. Students use appropriate technology to analyze real-world data. UC CREDIT LIMITATION: Credit for BUS 204, MATH 103, PSYC 104/SOC 104, PSYC 104H/SOC 104H, or BIO 180/BTEC 180. Some CSU campuses may also impose this credit limitation.

MATH 105: Concepts and Structures of Elementary Mathematics I

Units: 3
Prerequisites: MATH 64 or eligibility determined by the math placement process.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 2 hours, laboratory 3 hours. (1701.00)
Course Typically Offered: F, SP

This course covers set theory, problem solving, systems of numeration, elementary number theory, numerical operations, and arithmetic algorithms. It emphasizes cognitive learning and the development of problem solving strategies and techniques. Students work collaboratively in groups and/or independently using manipulatives and models to explore structures and formulate concepts. UC CREDIT LIMITATION: Credit for MATH 105 or MATH 106.

MATH 106: Concepts and Structures of Elementary Mathematics II

Units: 3
Prerequisites: MATH 105.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 2 hours, laboratory 3 hours. (1701.00)
Course Typically Offered: SP

This continuation of MATH 105 covers the mathematical concepts needed for teaching elementary school mathematics. Core topics include the real number system, geometry, Pythagorean theorem, measurement in both the English and metric systems, transformations, and symmetry. Students must demonstrate their understanding of the concepts and structures of elementary mathematics using critical thinking. UC CREDIT LIMITATION: Credit for MATH 105 or MATH 106.

MATH 115: Calculus with Applications

Units: 4
Prerequisites: MATH 64 or eligibility determined by the math placement process.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP, SU

This course relates calculus to real-world applications in social science, economics, and business. Topics include an algebra review, graphing, limits, derivatives of polynomials of one variable, maxima and minima, integration, derivatives of logarithmic and exponential functions, development of integration techniques, an introduction to multi-variable calculus, and their application to problems. This course is designed primarily for students majoring in social science, economics, and business who require calculus and is not recommended for mathematics, physical science, engineering, or biological science majors. UC CREDIT LIMITATION: Credit for MATH 115, MATH 150, or MATH 150H. C-ID MATH 140.

MATH 126: Pre-Calculus I: College Algebra

Units: 4
Prerequisites: MATH 64 or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with credit in MATH 135.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP, SU

This course covers advanced algebra topics including functions and their properties. Topics include linear, quadratic, polynomial, rational, exponential, and logarithmic functions and their applications, graphs of functions, inverse functions, and systems of equations and inequalities. UC CREDIT LIMITATION: MATH 126, MATH 131, and MATH 135 combined, maximum credit, 5 units.

MATH 131: Pre-Calculus II: Trigonometry and Analytic Geometry

Units: 4
Prerequisites: MATH 126 or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with credit in MATH 135.
Acceptable for Credit: CSU, UC
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP, SU

This course covers basic concepts of analytic geometry and trigonometry, including definitions and properties of trigonometric functions. Topics include solutions of applied problems involving right triangles; graphs of trigonometric functions; trigonometric identities; trigonometric equation solving; evaluation of inverse trigonometric functions and polar coordinates. The course also covers conics, systems of non-linear equations, and sequences and series. UC CREDIT LIMITATION: MATH 126, MATH 131, and MATH 135 combined, maximum credit, 5 units.

MATH 150: Calculus and Analytic Geometry I

Units: 5
Prerequisites: MATH 131 or MATH 135 or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with credit in MATH 150H.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 5 hours. (1701.00)
Course Typically Offered: F, SP, SU

This course is the first in a three-semester calculus sequence designed for mathematics, science, and engineering majors. Topics include limits and continuity; differentiation of algebraic, trigonometric, and exponential functions and their inverses; integration and the fundamental theorem of calculus; and applications of differentiation and integration. UC CREDIT LIMITATION: Credit for MATH 115, MATH 150 or MATH 150H.

MATH 150H: Calculus and Analytic Geometry (Honors)

Units: 5
Prerequisites: MATH 131 or MATH 135 or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with credit in MATH 150.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 5 hours. (1701.00)
Course Typically Offered: F OR SP

This first in a three-semester calculus sequence is designed for highly motivated mathematics, science, and engineering majors. Topics include limits and continuity; differentiation of algebraic, trigonometric, and exponential functions and their inverses; integration and the fundamental theorem of calculus; and applications of differentiation and integration. The course provides mathematically talented students the opportunity to obtain a level of rigor above the level currently available in existing courses. It emphasizes logical reasoning, problem solving, and applications. UC CREDIT LIMITATION: Credit for MATH 115, MATH 150, or MATH 150H.

MATH 155: Calculus and Analytic Geometry II

Units: 4
Prerequisites: MATH 150 or MATH 150H.
Acceptable for Credit: CSU, UC
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP, SU

This second course in a three-semester calculus sequence covers advanced integration techniques, improper integrals, infinite series, conic sections, parametric equations, and polar coordinates. The course is designed for mathematics, science, and engineering majors.

MATH 226: Discrete Mathematics

Units: 4
Prerequisites: MATH 131 or MATH 135 or eligibility determined by the math placement process.
Acceptable for Credit: CSU, UC
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP

Designed for students majoring in mathematics or computer science, this course introduces discrete mathematics, including logic, methods of proof, number theory, sets, counting, relations, recursion, recurrence relations, Boolean algebra, graphs, trees, and networks. Topics are illustrated with applications to computer science, including design and analysis of algorithms, undecidability, program correctness, and digital logic design.

MATH 260: Calculus and Analytic Geometry III

Units: 4
Prerequisites: MATH 155.
Acceptable for Credit: CSU, UC
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP

This third course in a three-semester calculus sequence covers vectors in two and three space, quadratic surfaces, vector-valued functions of several variables, partial differentiation and multiple integration, vector fields, and line integrals and conservative fields. The course is designed for mathematics, science, and engineering majors.

MATH 265: Differential Equations

Units: 4
Prerequisites: MATH 155.
Acceptable for Credit: CSU, UC
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP

This course introduces the theory and applications of ordinary differential equations of first and higher (mostly second) order as well as systems of linear differential equations. It includes both quantitative and qualitative methods. The course deals with theoretical aspects of existence and uniqueness of solutions as well as techniques for finding solutions using analytical, numerical, method of power-series, and Laplace transformations.

MATH 270: Linear Algebra

Units: 4
Prerequisites: MATH 260.
Corequisite: MATH 260 if prerequisite not met.
Acceptable for Credit: CSU, UC
Lecture 4 hours. (1701.00)
Course Typically Offered: F, SP

This course introduces students to the concepts of linear algebra. Topics include matrix algebra, Gaussian elimination, determinants of a matrix, properties of determinants, vector spaces and their properties with an introduction to proofs, linear transformations, orthogonality, eigenvalues and eigenvectors, and computational methods. C-ID MATH 250.

MATH 292: Internship Studies

Units: 0.5-3
Prerequisites: None
Corequisite: Complete 75 hrs paid or 60 hrs non-paid work per unit.
Enrollment Limitation: Instructor, dept chair, and Career Center approval. May not enroll in any combination of cooperative work experience and/or internship studies concurrently.
Acceptable for Credit: CSU
Course Typically Offered: TBA

This course provides students the opportunity to apply the theories and techniques of their discipline in an internship position in a professional setting under the instruction of a faculty-mentor and site supervisor. It introduces students to aspects of the roles and responsibilities of professionals employed in the field of study. Topics include goal-setting, employability skills development, and examination of the world of work as it relates to the student's career plans. Students must develop new learning objectives and/or intern at a new site upon each repetition. Students may not earn more than 16 units in any combination of cooperative work experience (general or occupational) and/or internship studies during community college attendance.

MATH 296: Topics in Mathematics

Units: 1-4
Prerequisites: None
Acceptable for Credit: CSU
Lecture 1 hour.
Lecture 2 hours.
Lecture 3 hours.
Lecture 4 hours. (1701.00)
Course Typically Offered: TBA

This course gives students an opportunity to study topics in Mathematics that are not included in regular course offerings. Each Topics course is announced, described, and given its own title and 296 number designation in the class schedule.