# Courses

**Course Number: MATH 1**

**Pre-Calculus**

**Units:** 4

**Class:** 4 hours lecture (GR)

**Pre-requisite:** Math 203 or 211D

**Acceptable for credit:** CSU, UC

**Description:** Preparation for the calculus sequence or other courses requiring a sound algebraic background: Inequalities, theory of equations, sequences and series, matrices, functions and relations, and logarithmic and exponential functions; function concept used as a unifying notion. 1701.00

AA/AS area 4b; CSU area B4; IGETC area 2

**Course Number: MATH 2**

**Precalculus with Analytic Geometry**

**Units:** 5

**Class:** 5 hours lecture (GR)

**Pre-requisite:** Math 50 or 52C

**Acceptable for credit:** CSU, UC

**Description:** Advanced algebra and analytic geometry: Linear, quadratic, polynomial, rational, exponential, logarithmic, and inverse functions; determinants, matrices and linear systems; zeros of polynomials, arithmetic and geometric sequences, mathematical induction; permutations and combinations, binomial theorem; vectors, conic sections, translation and rotation of axes, polar coordinates, lines and surfaces in space, and quadric surfaces. 1701.00

AA/AS area 4b; CSU area B4; IGETC area 2

**Course Number: MATH 3A**

**Calculus I**

**Units:** 5

**Class:** 5 hours lecture (GR)

**Pre-requisite:** Math 2; or Math 1, and 50 or 52C

**Acceptable for credit:** CSU, UC

**Description:** Theorems on limits and continuous functions, derivatives, differentials and applications: Fundamental theorems of calculus and applications; properties of exponential, logarithmic, and inverse trigonometric functions, and hyperbolic functions. 1701.00

AA/AS area 4b; CSU area B4; IGETC area 2

**Course Number: MATH 3B**

**Calculus II**

**Units:** 5

**Class:** 5 hours lecture (GR)

**Pre-requisite:** Math 3A

**Acceptable for credit:** CSU, UC

**Description:** Applications of the definite integral: Methods of integration, polar coordinates, parametric equations, infinite and power series. 1701.00

AA/AS area 4b; CSU area B4; IGETC area 2

**Course Number: MATH 3C**

**Calculus III**

**Units:** 5

**Class:** 5 hours lecture (GR)

**Pre-requisite:** Math 3B

**Acceptable for credit:** CSU, UC

**Description:** Partial differentiation: Jacobians, transformations, multiple integrals, theorems of Green and Stokes, differential forms, vectors and vector functions, geometric coordinates, and vector calculus. 1701.00

AA/AS area 4b; CSU area B4; IGETC area 2

**Course Number: MATH 3D**

**Linear Algebra and Differential Equations**

**Units:** 5

**Class:** 5 hours lecture (GR)

**Pre-requisite:** Math 3B

Math 3D is equivalent to Math 3E plus 3F.

Not open for credit to students who have completed or are currently enrolled in Math 3E or 3F.

**Acceptable for credit:** CSU, UC

**Description:** Linear algebra and differential equations: Ordinary differential equations, first- and second-order equations, homogeneous linear differential equations, nonhomogeneous linear differential equations, the Laplace transform method of solutions, infinite series solutions, and systems of linear differential equations. 1701.00

AA/AS area 4b; CSU area B4; IGETC area 2

**Course Number: MATH 13**

**Introduction to Statistics**

**Units:** 4

**Class:** 4 hours lecture (GR)

**Pre-requisite:** Math 203 or 211D

**Acceptable for credit:**CSU, UC

**Description:** Introduction to theory and practice of statistics: Collecting data: Sampling, observational and experimental studies. Organizing data: Univariate and bivariate tables and graphs, histograms. Describing data: Measures of location, spread, and correlation. Theory: Probability, random variables, binomial and normal distributions. Drawing conclusions from data: Confidence intervals, hypothesis testing, z-tests, t-tests, and chi-square tests; one-way analysis of variances. Regression and non-parametric methods. 1701.00

AA/AS area 4b; CSU area B4; IGETC area 2

**Course Number: MATH 15**

**Mathematics for Liberal Arts Students**

**Units:** 3

**Class:** 3 hours lecture (GR)

**Pre-requisite:** Math 203 or 211D

**Acceptable for credit:** CSU, UC

**Description:** Fundamental ideas underlying modern mathematics: Elements from logic, sets, and number systems; concepts of elementary algebra, geometry, topology, and combinatorics. 1701.00

AA/AS area 4b; CSU area B4

**Course Number: MATH 16A**

**Calculus for Business and Life/Social Sciences**

**Units:** 3

**Class:** 3 hours lecture (GR)

**Pre-requisite:** Math 1 or 2

**Acceptable for credit:** CSU, UC

**Description:** Introduction to analytic geometry and differential and integral calculus of algebraic functions with particular attention paid to simple applications. 1701.00

AA/AS area 4b; CSU area B4; IGETC area 2

**Course Number: MATH 16B**

**Calculus For Business and Life/Social Sciences**

**Units:** 3

**Class:** 3 hours lecture (GR)

**Pre-requisite:** Math 16A or 3A

**Acceptable for credit:** CSU, UC

**Description:** Continuation of differential and integral calculus: Transcendental functions, methods of integration, partial differentiation, and multiple integration with particular attention to applications. 1701.00

AA/AS area 4b; CSU area B4; IGETC area 2

**Course Number: MATH 48NA-TZ**

**Selected Topics in Mathematics**

**Units:** .5-5

**Class:** 0-5 hours lecture, 0-15 hours laboratory (GR or P/NP)

**Acceptable for credit:** CSU

**Description:** See section on Selected Topics. 1701.00

**Course Number: MATH 49**

**Independent Study in Mathematics**

**Units:** .5-5

**Class:** (GR)

Course study under this section may be repeated three times for a maximum of 5 units.

**Acceptable for credit:** CSU

**Description:** See section on Independent Study. 1701.00

**Course Number: MATH 50**

**Trigonometry**

**Units:** 3

**Class:** 3 hours lecture (GR)

**Pre-requisite:** Math 202, and 203 or 211D

Not open for credit to students who have completed or are currently enrolled in Math 52ABC.

**Acceptable for credit:** CSU

**Description:** Introduction to functional trigonometry: Basic definitions, identities, graphs, inverse functions, trigonometric equations and applications, solution of triangles and applications, polar coordinates, complex numbers, and De Moivre’s Theorem. 1701.00

AA/AS area 4b; CSU area B4

**Course Number: MATH 113**

Math Workshop for Statistics

**Units:** 1

**Class:** 1 hour lecture (P/NP)

**Pre-requisite:** Math 203 or 211D

**Recommended preparation:** Math 13 (recommended to be taken concurrently)

**Acceptable for credit:** CSU

**Description:** Reinforcement of problem-solving skills in statistics: Workshop in solving routine problems dealing with theory and practice of statistics; Collection of data: sampling, observational and experimental studies; Organizing data: univariate and bivariate to table and graphs, histograms; Describing data: measures of location, spread and correlation; Theory: probability, random variables, binomial and normal distribution; Drawing conclusions from data: confidence intervals, hypothesis testing, z-tests, t-tests and chi-square tests, one-way analysis of variances; and regression and non-parametric methods. 1701.00

**Course Number: MATH 201**

**Elementary Algebra**

**Units:** 4

**Class:** 5 hours lecture (GR)

**Pre-requisite:** Math 225 or 250 or 251D or 253 or appropriate placement through multiple-measures assessment

Not open for credit to students who have completed or are currently enrolled in Math 210ABCD.

**Description:**Basic algebraic operations: Linear equations and inequalities, relations and functions, factoring quadratic polynomials, solving quadratic equations, fractions, radicals and exponents, word problems, graphing, and number systems. 1701.00

**Course Number: MATH 202**

**Geometry**

**Units:** 3

**Class:** 3 hours lecture (GR)

**Pre-requisite:** Math 201 or 210D or appropriate placement through multiple-measures assessment

**Description:** Introduction to plane geometry emphasizing mathematical logic and proofs: Geometric constructions, congruent triangles, parallel lines and parallelograms, proportions, similar triangles, circles, polygons, and area. 1701.00

AA/AS area 4b

**Course Number: MATH 203**

**Intermediate Algebra**

**Units:** 4

**Class:** 5 hours lecture (GR)

**Pre-requisite:** Math 201 or 210D or appropriate placement through multiple-measures assessment

**Recommended preparation:** Math 202

Not open for credit to students who have completed or are currently enrolled in Math 211ABCD.

Eligible for credit by examination.

**Description:**Intermediate algebraic operations: Real number properties and operations; solutions and graphs of linear equations in one and two variables; absolute value equations; advanced factoring; complex numbers; quadratic equations and systems of quadratic equations; conics; determinants; solutions and graphs of first-degree, quadratic, and rational inequalities; exponential and logarithmic functions; and sequences and series. 1701.00

AA/AS area 4b

**Course Number: MATH 248NA-TZ**

**Selected Topics in Mathematics**

**Units:** .5-5

**Class:** 0-5 hours lecture, 0-15 hours laboratory (GR or P/NP)

**Description:**See section on Selected Topics. 1701.00

**Course Number: MATH 250**

**Arithmetic**

**Units:** 3

**Class:** 3 hours lecture (GR)

Not open for credit to students who have completed or are concurrently enrolled in Math 251ABCD.

Non-degree applicable

**Description:** Refresher course in the fundamental processes of arithmetic: Whole numbers, fractions, decimals and percents; metric system introduced and incorporated throughout the arithmetic material. 4930.41

**Course Number: MATH 253**

**Pre-Algebra**

**Units:** 3

**Class:** 3 hours lecture (GR)

**Recommended preparation:** Math 250 or 251D or appropriate placement through multiple-measures assessment

Non-degree applicable

**Description:**Fundamentals of pre-algebra: Properties of real numbers, factoring and multiples, ratio and proportion, signed numbers, linear equations and formulas, powers and roots, percents and averages, and English and metric measurements. 4930.41

**Course Number: MATH 270**

**Math Workshop for Arithmetic**

**Units:** 1

**Class:** 1 hour lecture (P/NP)

**Recommended preparation:** Math 250 (recommended to be taken concurrently)

Non-degree applicable

**Description:**Reinforcement of problem-solving skills in arithmetic: Workshop in solving routine problems dealing with whole numbers and arithmetic operations, fractions, decimals, ratios, proportions, percents, measurements and scales, interpretations of notation, and simple equations and formulas. 4930.41

**Course Number: MATH 271**

Math Workshop for Pre-Algebra

**Units:** 1

**Class:** 1 hour lecture (P/NP)

**Recommended preparation:** Math 250 or 251D or appropriate placement through multiple-measures assessment; and Math 253 (recommended to be taken concurrently)

Non-degree applicable

**Description:** Reinforcement of problem-solving skills in pre-algebra: Workshop in solving routine problems dealing with real numbers, factoring and multiples, ratio and proportion, signed numbers, linear equations and formulas, powers and roots, percents and averages, and English and metric measurements. 4930.41

**Course Number: MATH 272**

**Math Workshop for Elementary Algebra**

**Units:** 1

**Class:** 1 hour lecture (P/NP)

**Pre-requisite:** Math 250 or 251D or 225 or 253 or appropriate placement through multiple-measures assessment

**Recommended preparation:** Math 201 (recommended to be taken concurrently)

Non-degree applicable

**Description:** Reinforcement of problem-solving skills in elementary algebra: Workshop in solving routine problems dealing with basic algebraic operations, linear equations and inequalities, relations and functions, factoring quadratic polynomials, solving quadratic equations, fractions, radicals and exponents, word problems, and graphic and number systems. 1701.00

**Course Number: MATH 273**

**Math Workshop for Intermediate Algebra**

**Units:** 1

**Class:** 1 hour lecture (P/NP)

**Pre-requisite:** Math 201 or 210D or appropriate placement through multiple-measures assessment

**Recommended preparation:** Math 202; and Math 203 (recommended to be taken concurrently)

Non-degree applicable

**Description:** Reinforcement of problem-solving skills in intermediate algebra: Workshop in solving routine problems dealing with real number properties and operations, solutions and graphs of linear equations in one and two variables; absolute value equations, advanced factoring, complex numbers, quadratic equations and systems of quadratic equations, conic sections, determinants; solutions and graphs of first-degree, quadratic and rational inequalities; exponential and logarithmic functions, and sequences and series. 1701.00

**Course Number: MATH 348NA-TZ**

**Selected Topics in Mathematics**

**Units:** .5-5

**Class:** 0-5 hours lecture, 0-15 hours laboratory (GR or P/NP)

Non-degree applicable

**Description:** See section on Selected Topics. 4930.40