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These are the mathematics courses that are offered at my community college. They also offer an associates in mathematics, which I am curious if I should get before I transfer. However, these are the available mathematics and physics courses. Since I am at a community college, I am curious how good these classes appear compared to a pretty good university program. I am transferring into UCSD which I hear has a high quality math program. I am curious how much independent studying do you think I will need to do, to construct a course as rigorous (or more rigorous) than that at UCSD, because I don't mind studying ahead and on my own. These are the available courses:

Prerequisite: Mathematics 96 with a grade of "C" or better, or equivalent, or Assessment Skill Level M50.

One of the aids which might be used to determine readiness for this course is a qualifying score on the Intermediate Algebra Diagnostic Test. Topics from logic, modern algebra and other branches of mathematics designed to give the student an introduction to the structure of mathematical systems and their applications. This is a general education course in mathematics. Analytical reading and problem solving are required for success in this course. Transfer Credit: CSU and/or private coll/univ.

Prerequisite: Mathematics 122 or 151 with a grade of "C" or better, or equivalent.

Advisory: English 101 with a grade of "C" or better, or equivalent, or Assessment Skill Levels W6 and R6.

This course covers logic, methods of proof, set theory, Boolean algebra, number theory, equivalence and order relations, counting (combinations and permutations), solving recurrence relations. Transfer Credit: CSU and/or private coll/univ.; UC.

Prerequisite: Mathematics 151 with a grade of "C" or better, or equivalent.

The content of this course includes the algebra and geometry of 2- and 3-dimensional Euclidean vectors, limits, continuity, partial differentiation, extreme of vector-valued and multivariable functions, higher order derivatives, the chain rule, Lagrange's theorem, multiple integrals, integrals over paths and surfaces, and integral theorems of vector analysis. This course is intended as a general introduction to the theory and applications of multivariable calculus. It is essential for most upper division courses in mathematics and forms part of the foundation for engineering and physics. It is intended for the transfer student planning to major in mathematics, physics, engineering, computer science, physical chemistry, operational research, or economics. This course meets general education requirements, CSU, IGETC, and TAG requirements. Transfer Credit: CSU and/or private coll/univ.; UC.

Prerequisite: Mathematics 151 with a grade of "C" or better, or equivalent.

This course covers matrix algebra, Gauss elimination, determinants, vector spaces, linear transformations, orthogonality, eigen values and eigenvectors. Transfer Credit: CSU and/or private coll/univ.; UC.

Grade Only

Prerequisite: Mathematics 252 and 254, each with a grade of "C" or better, or equivalent.

Limitation on Enrollment: This course is not open to students with credit for Mathematics 253.

This course covers first order and higher order equations and their applications. Topics include linear first order and higher order equations, homogeneous and non homogeneous equations with constant or variable coefficients, and systems of ordinary differential equations. Methods used to solve equations include substitution methods, integrating factors, reduction of order, variation of parameters, power series solutions, and Laplace Transforms. This course is intended as an introduction to the theory and applications of differential equations and is the basis for many upper division courses in engineering, physics, and mathematics. It is intended for the transfer student planning to major in mathematics, engineering, operational research, physics, or other physical science. This course meets CSU general education requirements. Transfer Credit: CSU and/ or private coll/univ.; UC.

Prerequisite: Mathematics 150 with a grade of "C" or better, or equivalent.

Corequisite: Mathematics 151 and Physics 196A.

Advisory: English 51 and 56, each with a grade of "C" or better, or equivalent, or Assessment Skill Levels W5 and R5.

The Physics 195A, B, C sequence is designed to give a foundation in calculus-based physics for engineering and science majors. Physics 195A deals primarily with the description of motion and its causes, and energy transfer processes. Transfer Credit: CSU and/or private coll/univ.; UC Transfer Credit: Physics (PHYS) 120AB\121AB and 124AB and 195ABC combined: maximum credit, one series (per catalog) Deduct credit for duplication of topics.

Prerequisite: Physics 195A with a grade of "C" or better, or equivalent.

Corequisite: Physics 196B.

This is the second of a three-semester calculus-based general physics sequence, intended to satisfy the transfer requirements of students planning to major in the physical sciences and in engineering. The topics of study include the basic principles and applications of electrostatics, magnetostatics, time-varying electric and magnetic phenomena, direct and alternating current circuits, elementary electronics and electromagnetic waves. Emphasis is placed on the mathematical analysis of physical problems. Transfer Credit: CSU and/or private coll/univ. UC transfer limitations; See a counselor.

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Prerequisite: Physics 195A with a grade of "C" or better.

Corequisite: Physics 196C.

The fundamental principles of physics in the areas of waves, the behavior of light, and an introduction to quantum physics and the atomic and nuclear properties of matter. Physics 195B and 195C may be taken concurrently only if Physics 195A was completed with a grade of ìBî or better or with approval of department. Transfer Credit: CSU and/or private coll/univ.; UC Transfer Credit: Physics (PHYS) 120AB\121AB and 124AB and 195ABC combined: maximum credit, one series (per catalog) Deduct credit for duplication of topics.

These are links to the associate degrees:

http://www.sdcity.edu/PhysEarthSci/Physics/physASdegree.asp

http://www.sdcity.edu/Math/mathAAdegree.asp

**Mathematics:****118 A Survey of Modern Mathematics**3 hours, 3 unitsPrerequisite: Mathematics 96 with a grade of "C" or better, or equivalent, or Assessment Skill Level M50.

One of the aids which might be used to determine readiness for this course is a qualifying score on the Intermediate Algebra Diagnostic Test. Topics from logic, modern algebra and other branches of mathematics designed to give the student an introduction to the structure of mathematical systems and their applications. This is a general education course in mathematics. Analytical reading and problem solving are required for success in this course. Transfer Credit: CSU and/or private coll/univ.

**245 Discrete Mathematics**3 hours, 3 unitsPrerequisite: Mathematics 122 or 151 with a grade of "C" or better, or equivalent.

Advisory: English 101 with a grade of "C" or better, or equivalent, or Assessment Skill Levels W6 and R6.

This course covers logic, methods of proof, set theory, Boolean algebra, number theory, equivalence and order relations, counting (combinations and permutations), solving recurrence relations. Transfer Credit: CSU and/or private coll/univ.; UC.

**252 Calculus with Analytic Geometry III**4 hours, 4 unitsPrerequisite: Mathematics 151 with a grade of "C" or better, or equivalent.

The content of this course includes the algebra and geometry of 2- and 3-dimensional Euclidean vectors, limits, continuity, partial differentiation, extreme of vector-valued and multivariable functions, higher order derivatives, the chain rule, Lagrange's theorem, multiple integrals, integrals over paths and surfaces, and integral theorems of vector analysis. This course is intended as a general introduction to the theory and applications of multivariable calculus. It is essential for most upper division courses in mathematics and forms part of the foundation for engineering and physics. It is intended for the transfer student planning to major in mathematics, physics, engineering, computer science, physical chemistry, operational research, or economics. This course meets general education requirements, CSU, IGETC, and TAG requirements. Transfer Credit: CSU and/or private coll/univ.; UC.

**254 Introduction to Linear Algebra**3 hours, 3 unitsPrerequisite: Mathematics 151 with a grade of "C" or better, or equivalent.

This course covers matrix algebra, Gauss elimination, determinants, vector spaces, linear transformations, orthogonality, eigen values and eigenvectors. Transfer Credit: CSU and/or private coll/univ.; UC.

**255 Differential Equations**3 hours, 3 unitsGrade Only

Prerequisite: Mathematics 252 and 254, each with a grade of "C" or better, or equivalent.

Limitation on Enrollment: This course is not open to students with credit for Mathematics 253.

This course covers first order and higher order equations and their applications. Topics include linear first order and higher order equations, homogeneous and non homogeneous equations with constant or variable coefficients, and systems of ordinary differential equations. Methods used to solve equations include substitution methods, integrating factors, reduction of order, variation of parameters, power series solutions, and Laplace Transforms. This course is intended as an introduction to the theory and applications of differential equations and is the basis for many upper division courses in engineering, physics, and mathematics. It is intended for the transfer student planning to major in mathematics, engineering, operational research, physics, or other physical science. This course meets CSU general education requirements. Transfer Credit: CSU and/ or private coll/univ.; UC.

**Physics:****195A Mechanics**3 hours lecture, 3 hours lab, 4 unitsPrerequisite: Mathematics 150 with a grade of "C" or better, or equivalent.

Corequisite: Mathematics 151 and Physics 196A.

Advisory: English 51 and 56, each with a grade of "C" or better, or equivalent, or Assessment Skill Levels W5 and R5.

The Physics 195A, B, C sequence is designed to give a foundation in calculus-based physics for engineering and science majors. Physics 195A deals primarily with the description of motion and its causes, and energy transfer processes. Transfer Credit: CSU and/or private coll/univ.; UC Transfer Credit: Physics (PHYS) 120AB\121AB and 124AB and 195ABC combined: maximum credit, one series (per catalog) Deduct credit for duplication of topics.

**195B Electricity and Magnetism**3 hours lecture, 3 hours lab, 4 units Grade OnlyPrerequisite: Physics 195A with a grade of "C" or better, or equivalent.

Corequisite: Physics 196B.

This is the second of a three-semester calculus-based general physics sequence, intended to satisfy the transfer requirements of students planning to major in the physical sciences and in engineering. The topics of study include the basic principles and applications of electrostatics, magnetostatics, time-varying electric and magnetic phenomena, direct and alternating current circuits, elementary electronics and electromagnetic waves. Emphasis is placed on the mathematical analysis of physical problems. Transfer Credit: CSU and/or private coll/univ. UC transfer limitations; See a counselor.

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**195C Waves, Light, and Modern Physics**3 hours lecture, 3 hours lab, 4 unitsPrerequisite: Physics 195A with a grade of "C" or better.

Corequisite: Physics 196C.

The fundamental principles of physics in the areas of waves, the behavior of light, and an introduction to quantum physics and the atomic and nuclear properties of matter. Physics 195B and 195C may be taken concurrently only if Physics 195A was completed with a grade of ìBî or better or with approval of department. Transfer Credit: CSU and/or private coll/univ.; UC Transfer Credit: Physics (PHYS) 120AB\121AB and 124AB and 195ABC combined: maximum credit, one series (per catalog) Deduct credit for duplication of topics.

These are links to the associate degrees:

http://www.sdcity.edu/PhysEarthSci/Physics/physASdegree.asp

http://www.sdcity.edu/Math/mathAAdegree.asp

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