Mathematics

5 Units (Lec 5 Hrs)
Transfer Credit: CSU (CSUGE Area B4), UC (IGETC Area 2A)
Prerequisite(s): By Appropriate Placement

This is a preparation course for calculus, which includes polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions and their graphs, analytic geometry, and polar coordinates.

5 Units (Lec 5 Hrs)
Transfer Credit: CSU (CSUGE Area B4), UC (IGETC Area 2A), C-ID (MATH 211)
Prerequisite(s): MATH 260 or MATH 260S or by Appropriate Placement

This is the first of a three-course sequence in calculus. Topics include limits and continuity, rates of change, derivatives, applications of differentiation, integrals, the Fundamental Theorem of Calculus, and applications of integration.

5 Units (Lec 5 Hrs)
Transfer Credit: CSU (CSUGE Area B4), UC (IGETC Area 2A)
Prerequisite(s): MATH 261 or by Appropriate Placement

This is the second in a three-course sequence in calculus. Topics include differentiation and integration of logarithmic, exponential, circular and hyperbolic functions and their inverses, indeterminate forms, improper integrals, standard techniques of integration, applications of integration to problems from economics, biology and probability, parametric equations and polar coordinates, infi nite sequences and series, and representation of functions as power series.

5 Units (Lec 5 Hrs)
Transfer Credit: CSU (CSUGE Area B4), UC (IGETC Area 2A)
Prerequisite(s): MATH 262 or by Appropriate Placement

Students solve problems from vectors calculus, parametric equations, surfaces, partial differentiation, gradient, maxima and minima for functions of several variables, multiple integrals, surface integrals, and line integrals. Students consider physical and mechanical applications of Green’s theorem, divergence theorem, and Stokes’ theorem.

3 Units (Lec 3 Hrs)
Transfer Credit: CSU (CSUGE Area B4), UC (IGETC Area 2A)
Prerequisite(s): MATH 261 or by Appropriate Placement

This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included.

3 Units (Lec 3 Hrs)
Transfer Credit: CSU (CSUGE Area B4), UC (IGETC Area 2A), C-ID (MATH 240)
Prerequisite(s): MATH 262 or by Appropriate Placement

Students learn to categorize different types of differential equations. Students learn to use techniques such as separation of variables, exact differentials, homogeneity, and change-of-variable (substitution) to solve fi rst-order equations as well as fi rst-order initial value problems (IVPs). Students apply this knowledge to solve real-world problems such as population growth and mixture problems. Students learn to solve higher-order linear differential equations using constant coeffi cient technique, the method of undetermined coeffi cients and variation of parameters. Students apply this knowledge to physics applications such as simple harmonic motion. Students solve equations of higher-order with variable coeffi cients applying specifi c techniques based on the type of the given equations. Topics include: Cauchy-Euler equations, power series solutions, Bessel’s equations, and Legendre’s equation. Students learn the Laplace transform and its properties and apply this knowledge to solving various differential equations as well as IVPs. Students use techniques for solving systems of linear differential equations.