Course Descriptions Continued

141 Pre calculus 5 hours, 5 units
Prerequisite: Mathematics 104 with a grade of "C" or better, or equivalent.
One of the aids which might be used to determine readiness for this course is a qualifying score on the Intermediate Algebra Diagnostic and a departmental Trigonometry Test. This course is a continuation of the study of algebra and trigonometry with a functional approach, including matrices and determinants, systems of equations and theory of equations. Analytical reading and problem solving are required for success in this course. Transfer Credit: CSU and/or private coll/univ. UC Transfer Credit: Mathematics (MATH) 116 and 141 combined: maximum credit, four units. 

150 Calculus with Analytic Geometry I 5 hours, 5 units
Prerequisite: Mathematics 141 with a grade of "C" or better, or equivalent.
This course is a primary introduction to university level calculus. The topics of study include analytic geometry, limits, differentiation and integration of algebraic and transcendental functions. Emphasis is placed on calculus applications. Analytical reading and problem solving are required for success in this course. This course is intended for the transfer student planning to major in mathematics, computer science, physics, chemistry, engineering, or economics. This course meets general education, CSU, IGETC, and TAG requirements. Transfer Credit: CSU and/or private coll/ univ. UC Transfer Credit: Mathematics 150 and Mathematics 121 combined: maximum credit, one course. See a counselor.

150L Calculus Laboratory 3 lab hours, 1 unit
Credit/No Credit Only
Corequisite: Mathematics 150.
Students will work in a lab setting using technology as a means for further exploration on the concepts presented in lecture. Students are expected to work in groups, perform projects and focus on applications of calculus introduced in their lecture course.

151 Calculus with Analytic Geometry II 4 hours, 4 units
Prerequisite: Mathematics 150 with a grade of "C" or better, or equivalent.
This is a continuation of Mathematics 150. This course covers more advanced topics in analytic geometry, differentiation and integration of algebraic and transcendental functions, infinite series, Taylor series, and parametric equations. This course also covers a general introduction to the theory and applications of power series, techniques of integration, and functions in polar coordinates, at it serves as a basis for multivariable calculus and differential equations, as well as most upper division courses in mathematics and engineering. It is intended for the transfer student planning to major in mathematics, computer science, physics, chemistry, engineering and economics. This course meets general education requirements, CSU, IGETC, and TAG requirements. . Transfer Credit: CSU and/or private coll/univ., UC. UC Transfer Credit: Mathematics 151 and Mathematics 122 combined: maximum credit, one course. See a counselor. 

181 Mecomtronics College Algebra and Trigonometry I
3 hours lecture, 3 units Grade Only
Prerequisite: Mathematics 96 with a grade of "C" or better, or equivalent, or Assessment Skill Level M50.
Advisory: This course is intended for students enrolled in the first semester Engineering Technology/ Mecomtronics program.
This course is the first semester of a four-semester sequence in applied college algebra and trigonometry, and applied technical calculus. Students are expected to apply the mathematical problem solving techniques developed in this course in the real world situations presented and discussed in the program's technology and science courses. Topics include the algebra of functions, graphing algebraic functions, exponential and logarithmic functions, linear systems of equations, matrices and matrix operations, trigonometric functions and their graphs, trigonometric identities, complex numbers, vector algebra, descriptive statistics, an introduction to series and summation notation, an introduction to Boolean algebra and symbolic logic, and the use of the graphing calculator to solve application problems. Transfer Credit: CSU and/or private coll/ univ.

182 Mecomtronics College Algebra and Trigonometry II
3 hours lecture, 3 units Grade Only
Prerequisite: Mathematics 181 with a grade of "C" or better, or equivalent.
Advisory: This course is intended for students enrolled in the second semester Engineering Technology/ Mecomtronics program.
This course is the second semester of a four-semester sequence in applied college algebra and trigonometry, and applied technical calculus. Students are expected to implement the mathematical problem solving techniques developed in this course in the real world situations presented and discussed in the Mecomtronics technology and science courses. Topics covered are a continuation of those introduced in Mathematics 181. Topics include applications of exponential and logarithmic functions, graphs of trigonometric functions, inverse trigonometric functions, Riemann sums, polynomial approximations of special transcendental functions, vector algebra, spherical and cylindrical coordinates, conic sections, the binomial theorem, an introduction to Boolean algebra and symbolic logic, and the use of the graphing calculator to solve application problems. Transfer Credit: CSU and/or private coll/univ.

183 Mecomtronics Calculus I 3 hours lecture, 3 units
Grade Only
Prerequisite: Mathematics 182 with a grade of "C" or better, or equivalent.
Advisory: This course is intended for students enrolled in the third semester Engineering Technology/ Mecomtronics program.
This course is the third semester of a four-semester sequence in applied college algebra and trigonometry, and applied technical calculus. Students are expected to implement the mathematical problem solving techniques developed in this course in the real world situations presented and discussed in the Engineering Technology/Mecomtronics program's technology and science courses. Topics include limits, continuity, differentiation of algebraic and transcendental functions, an introduction to multivariable functions and their partial derivatives, Riemann sums, integration by substitution and by parts, separable and linear first order differential equations, applications in technology and physics, and the use of the graphing calculator to solve application problems. Transfer Credit: CSU and/or private coll/univ.

184 Mecomtronics Calculus II 3 hours lecture, 3 units
Grade Only
Prerequisite: Mathematics 183 with a grade of "C" or better, or equivalent.
Advisory: This course is intended for students enrolled in the fourth semester Engineering Technology/ Mecomtronics program.
This course is the fourth semester of a four-semester sequence in applied college algebra and trigonometry, and applied technical calculus. Students are expected to apply analytical reading and mathematical problem solving techniques developed in this course in real world situations presented and discussed in the Engineering Technology/Mecomtronics program's technology and science courses. Topics include Taylor series, Fourier series, techniques of multivariable calculus including partial derivatives, multiple integrals, line and surface integrals, applications in physics and technology of vector calculus theorems, first and second order differential equations, variation of parameters, and Laplace transforms. A strong emphasis is placed on calculus applications in the engineering technology field. Transfer Credit: CSU and/or private coll/univ.

210A Concepts of Elementary School Mathematics I
3 hours, 3 units
Prerequisite: Mathematics 96 with a grade of "C" or better, or equivalent, or Assessment Skill Level M50.
Advisory: English 101 with a grade of "C" or better, or equivalent, or Assessment Skill Levels W6 and R6.
This course is a study of the mathematical concepts needed for teaching elementary school mathematics with emphasis on number, function, and geometry. This course promotes an appreciation of the importance of logical thinking and applications of mathematics in problem solving and critical thinking. It is designed especially for students preparing for credentials in elementary education. Analytical reading and problem solving are required for success in this course. Transfer Credit: CSU and/or private coll/univ.; UC transfer limitation: Math 210A and 210B combined: maximum credit, one course. 

210B Concepts of Elementary School Mathematics II
3 hours, 3 units
Prerequisite: Mathematics 210A 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 is a study of the mathematical concepts needed for teaching elementary school mathematics with emphasis on measurement, logic and language, probability and statistics, discrete mathematics and real numbers. This course will also promote an appreciation of the importance of logical thinking and applications of mathematics in problem solving and critical thinking. It is designed especially for students preparing for credentials in elementary education. Analytical reading and problem solving are required for success in this course. . Transfer Credit: CSU and/or private coll/univ.; UC transfer limitation: Math 210A and 210B combined: maximum credit, one course.

237 Machine and Assembly Language 3 hours, 3 units
Prerequisite: Mathematics 108 with a grade of "C" or better, or equivalent.
Corequisite: Mathematics 237L.
Limitation on Enrollment: This course is not open to students with credit for Mathematics 137.
This course covers general concepts of machine and assembly languages, including data representation, looping and addressing techniques, subroutine linkage, and use of system and programmer-defined macros. Problem-solving techniques in the fields of engineering, mathematics, and the sciences are covered. This course is designed for computer science and mathematics majors who are intending to transfer to a four-year university. Transfer Credit: CSU and/ or private coll/univ. UC Transfer Credit: Mathematics (MATH) 237: maximum credit, one course.
 

237L Assembly Language Lab 3 hours lab, 1 unit
Corequisite: Mathematics 237.
Limitation on Enrollment: This course is not open to students with credit for Mathematics 137L.
This is a lab course to be taken concurrently with Mathematics 237. Practice is provided in applying programming techniques and problem solving skills using assembly language. Transfer Credit: CSU and/or private coll/univ.

245 Discrete Mathematics 3 hours, 3 units
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. 

252 Calculus with Analytic Geometry III 4 hours, 4 units
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. 

254 Introduction to Linear Algebra 3 hours, 3 units
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.

255 Differential Equations 3 hours, 3 units
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.

290 Independent Study Hours by Arrangement; 1-3 units
Limitation on Enrollment: Must obtain an Add Code from instructor for registration.
This course is for advanced students who wish to pursue special investigations. This course may be taken four times with different content for a maximum of six units. Transfer Credit: CSU and/or private coll/univ.; UC transfer limitations. See a counselor.

296 Individual Instruction in Mathematics
3 hours lab, 1 unit Credit/No Credit Only
Limitation on Enrollment: Enrollment in an approved related course; Must obtain an Add Code from instructor for registration.
This course employs self-paced multimedia systems to assist students to reach specific learning objectives and is intended to be supplementary to designated courses. Transfer Credit: CSU and/or private coll/univ.

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