Mathematics
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 |
Department: Mathematics Office: Building OC3600, 760.757.2121 x6924 |
Full-Time Faculty
Janeen Apalatea Peter Avery Angela Beltran David Bonds Keith Dunbar Scott Fallstrom Shannon Gracey Julie Harland Mark Laurel |
Lemee Nakamura Victoria Noddings Zikica Perovic Brent Pickett Beth Powell Mohammed G. Rajah Leila Safaralian John Towers |
Program Student Learning Outcomes (PSLOs)
The degree program includes 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 in Mathematics for Transfer Degree
PSLO: Upon completion of this program, a student will be able to apply an appropriate technique to differentiate and integrate a function.
Associate Degree
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.
Required Core Courses: (13 units) | ||
MATH 150 | Calculus and Analytic Geometry I | 5 |
or MATH 150H | Calculus and Analytic Geometry (Honors) | |
MATH 155 | Calculus and Analytic Geometry II | 4 |
MATH 260 | Calculus and Analytic Geometry III | 4 |
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 Units | 21 |
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.
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)
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)
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 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)
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 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)
This course introduces data analysis. Topics include design of experiments, descriptive statistics, correlation and regression, probability, sampling, estimation, and significance testing. Students use appropriate technology to analyze real-world data. UC CREDIT LIMITATION: Credit for MATH 103, PSYC 104/SOC 104, PSYC 104H/SOC 104H or BIO 180/BTEC 180.
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 3 hours. (1701.00)
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 or eligibility determined by the math placement process.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 3 hours. (1701.00)
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)
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.
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)
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)
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 135: Pre-Calculus Mathematics
Units: 5
Prerequisites: MATH 130 or eligibility determined by the math placement process
Corequisite: MATH 130 if prerequisite not met.
Acceptable for Credit: CSU, UC
Lecture 5 hours. (1701.00)
This course covers functions and their properties. Topics include linear, quadratic, polynomial, rational, trigonometric, exponential, and logarithmic functions; systems of equations and inequalities; and conics.
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)
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)
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)
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)
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)
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)
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 analytical, numerical, and power-series solutions.
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)
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.
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
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)
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.