Mathematics Department

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Catalog Descriptions

Catalog Descriptions of Math Courses

 

Course

Units Comments Catalog Description

Math 2

Precalculus with Analytic Geometry

5 UC/CSUGEM

DA

Prerequisite: Math 50 or 52CAdvanced 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.

Math 3A

Calculus I

5 UC/CSUGEM

DA

Prerequisite: Math 2Theorems 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

Math 3B

Calculus II

5 UC/CSUGEM

DA

Prerequisite: Math 3AApplications of the definite integral: Methods of integration, polar coordinates, parametric equations, infinite and power series.

Math 3C

Calculus III

5 UC/CSUGEM

DA

Prerequisite: Math 3BPartial differentiation: Jacobians, transformations, multiple integrals, theorems of Green and Stokes, differential forms, vectors and vector functions, geometric coordinates, and vector calculus.

Math 3E

Linear Algebra

3 UC/CSUGEM

DA

Prerequisite: Math 3ALinear algebra: Gaussian and Gauss-Gordon elimination, matrices, determinants, vectors in R2 and R3, real and complex vector spaces, inner product spaces, linear transformations, eigenvalues, eigenvectors, and applications.

Math 3F

Differential Equations

3 UC/CSUGEM

DA

Prerequisite: Math 3COrdinary differential equations: First-order, second-order, and higher-order equations; separable and exact equations, series solutions, LaPlace transformations, systems of differential equations.

Math 11

Discrete Mathematics

4 UC/CSUGEM

DA

Prerequisite: Math 3B
Discrete mathematics: Mathematics induction, finite series, sets, relations and functions, introduction to trees, combinatorics, algebraic structures, and probability.

Math 13

Introduction to Statistics

4 UC/CSUGEM

DA

Prerequisite: Math 203 or 211DIntroduction 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 variance. Regression and non-parametric methods.

Math 15

Mathematics for Liberal Arts Students

3 UC/CSUGEM

DA

Prerequisite: Math 203 or 211DFundamental ideas underlying modern mathematics: Elements from logic, sets, and number systems; concepts of elementary algebra, geometry, topology, and combinatorics.

Math 50

Trigonometry

3 CSUGEM

DA

Prerequisite: Math 202, and 203 or 211DIntroduction 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.

Math 52A

Trigonometry (Lab)

1
CSUGEM

DA

Prerequisite: Math 202, and 203 or 211DTrigonometry Lab A: Introduction to functional trigonometry including basic definitions and properties.

Math 52B

Trigonometry (Lab)

1 CSUGEM

DA

Prerequisite: Math 52ATrigonometry Lab B: Graphs, identities, inverse functions, and trigonometric equations.

Math 52C

Trigonometry (Lab)

1 CSUGEM

DA

Prerequisite: Math 52BTrigonometry Lab C: Oblique triangles, vectors, polar coordinates, complex numbers, and De Moivre’s Theorem.

Math 200A

Elementary Algebra – Part 1

2 DA
Prerequisite: Math 250 or 251D or 253Basic algebraic operations: Real number properties, the four basic operations with integers and rational numbers, solutions of linear equations, applications utilizing first-degree equations, the four basic operations with polynomials, integer exponents, factoring.

Math 200B

Elementary Algebra – Part 2

2 DA Prerequisite: Math 200A or 210BBasic algebraic operations: Algebraic fractions, graphs of linear equations, solutions of linear systems, solutions of first-degree inequalities, graphs of linear inequalities in two variables, radical expressions, solutions to quadratic equations.

Math 201

Elementary Algebra

4 DA Prerequisite: Math 250 or 251D or 253Basic 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.

Math 202

Geometry

3 GEMDA Prerequisite: Math 201 or 210DIntroduction to plane geometry emphasizing mathematical logic and proofs: Geometric constructions, congruent triangles, parallel lines and parallelograms, proportions, similar triangles, circles, polygons, and area.

Math 203

Intermediate Algebra

4 GEMDA Prerequisite: Math 201 or 210DIntermediate 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.

Math 205A

Intermediate Algebra – Part 1

2 DA Prerequisite: Math 200B or 201 or 210DBasic algebraic operations: Real number properties and operations, absolute value equations, solutions and graphs of linear equations in one and two variables, various equations of lines, polynomial operations and advanced factoring, rational expressions and equations, exponents and radicals, complex numbers.

Math 205B

Intermediate Algebra – Part 2

2 DA Prerequisite: Math 205A or 211BBasic algebraic operations: Quadratic equations, conics, systems of linear and quadratic equations, determinants; solutions and graphs of first-degree, quadratic and rational inequalities; exponential and logarithmic functions, sequences and series.

Math 208

Mathematics for Laboratory Sciences

3 DA Prerequisite: Math 250 or 251D or 253Applications of algebra specific to biology, biomanufacturing, and chemistry: Exponential and scientific notation, logarithms, unit analysis, solving formulas for specific variables, calculations of dosages, using percents and proportions to compute concentrations and dilutions, graphing linear and exponential equations, and descriptive statistics.

Math 210A

Elementary Algebra (Lab)

1 DA Prerequisite: Math 250 or 251D or 253Elementary Algebra Lab A: Real number properties, the four basic operations with integers and rational numbers, solutions of linear equations.

Math 210B

Elementary Algebra (Lab)

1 DA Prerequisite: Math 210AElementary Algebra Lab B: Applications utilizing first-degree equations, the four basic operations with polynomials, integral exponents, factoring.

Math 210C

Elementary Algebra (Lab)

1 DA Prerequisite: Math 210BElementary Algebra Lab C: Algebraic fractions, graphs of linear equations, solutions of linear systems.

Math 210D

Elementary Algebra (Lab)

1 DA Prerequisite: Math 210CElementary Algebra Lab D: Solutions of first-degree inequalities, graphs of linear inequalities in two variables, radical expressions, solutions to quadratic equations.

Math 211A

Intermediate Algebra (Lab)

1 GEMDA Prerequisite: Math 201 or 210DIntermediate Algebra Lab A: Real number properties and operations, absolute value equations, solutions and graphs of linear equations in one and two variables, various equations of lines.

Math 211B

Intermediate Algebra (Lab)

1 GEMDA Prerequisite: Math 211AIntermediate Algebra Lab B: Polynomial operations and advanced factoring, rational expressions and equations, exponents and radicals, complex numbers.

Math 211C

Intermediate Algebra (Lab)

1 GEMDA Prerequisite: Math 211BIntermediate Algebra Lab C: Quadratic equations, conics, systems of linear and quadratic equations, determinants.

Math 211D

Intermediate Algebra (Lab)

1 GEMDA Prerequisite: Math 211CIntermediate Algebra Lab D: Solutions and graphs of first-degree, quadratic and rational inequalities, exponential and logarithmic functions, sequences and series.

Math 220A

Technical Mathematics with Algebra – Part 1 (Lab)

0.5 DA (Recommended preparation: Math 251ABC or 253)Selected topics in algebra useful for the vocations: Signed numbers, exponents, roots, order of operations; applications to the trades.

Math 220B

Technical Mathematics with Algebra – Part 2 (Lab)

0.5 DA Prerequisite: Math 220ASelected topics in algebra useful for the vocations: Algebraic expressions, solving linear equations, formulas, ratio and proportion, word problems; applications to the trades.

Math 220C

Technical Mathematics with Algebra – Part 3 (Lab)

0.5 DA Prerequisite: Math 220BSelected topics in algebra useful for the vocations: Systems of equations, solving by substitution, solving by elimination, word problems; applications to the trades.

Math 220D

Technical Mathematics with Algebra – Part 4 (Lab)

0.5 DA Prerequisite: Math 220CSelected topics in algebra useful for the vocations: Multiplying and dividing simple algebraic expressions, negative exponents, scientific notation, quadratic equations, word problems; applications to the trades.

Math 220E

Technical Mathematics with Geometry – Part 1 (Lab)

0.5 DA (Recommended preparation: Math 220A and 220B, or 201 or 210D)Practical plane geometry: Angles, polygons, types of triangles, Pythagorean Theorem, circles, perimeter and area of plane figures; examples and problems drawn from the trades.

Math 220F

Technical Mathematics with Geometry – Part 2 (Lab)

0.5 DA Prerequisite: Math 220EPractical solid geometry and geometric constructions: Definitions, surface area; volumes of prisms, pyramids, cylinders, cones, spheres; constructions of specific lines, angles, and triangles.

Math 220G

Technical Mathematics with Trigonometry (Lab)

1 DA Prerequisite: Math 220E (Recommended preparation: Math 220B)Practical solid geometry and geometric constructions: Definitions, surface area; volumes of prisms, pyramids, cylinders, cones, spheres; constructions of specific lines, angles, and triangles.

Math 250

Arithmetic

3
Prerequisite: NoneRefresher course in the fundamental processes of arithmetic: Whole numbers, fractions, decimals and percents; metric system introduced and incorporated throughout the arithmetic material.

Math 251A

Arithmetic

1
Prerequisite: NoneModular course in the fundamental processes of arithmetic: Arithmetic of whole numbers and fractions.

Math 251B

Arithmetic

1
Prerequisite: Math 251AModular course in the fundamental processes of arithmetic: Arithmetic of decimals and percents.

Math 251C

Arithmetic

1
Prerequisite: Math 251BModular course in the fundamental processes of arithmetic: Ratio, proportion, and arithmetic of measures including the English and metric systems.

Math 251D

Arithmetic

1
Prerequisite: Math 251CModular course in the fundamental processes of arithmetic: Application to consumer-oriented problems, and introduction to the solution of equations and formulas.

Math 253

Pre-Algebra

3
Prerequisite: Math 250 or 251DFundamentals 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.

Math 290

Arithmetic Workshop (Project Bridge I)

1–3
Prerequisite: NoneIntroduction to arithmetic: Concepts, terminology, symbols, basic facts, number sense, algorithms, and procedures for problem solving; emphasis on skill development, confidence building, and overcoming math anxiety.

Math 291

Arithmetic Workshop (Project Bridge II)

1–3
Prerequisite: NoneConcepts and algorithms for arithmetic operations: Whole numbers, fractions, decimals, percents, and practical applications.

Math 292E

Arithmetic Workshop (Night Bridge)

1–3
Prerequisite: NoneIntroduction to arithmetic: Concepts, terminology, symbols, basic facts, number sense, algorithms, and procedures for problem solving; emphasis on overcoming math anxiety, confidence building, and skill development in whole numbers, fractions, decimals, and percents; practical applications.

Math 295

Prescriptive Mathematics

1–3
Prerequisite: NoneIndividualized course in fundamentals of arithmetic: Prescriptive instruction for students who have difficulty mastering basic arithmetic skills due to a specific learning disability.

 

UC Transferable to UC (University of California) system
CSU Transferable to CSU (California State University) system
GEM Count toward Area 4b (Math) of the Associate Degree Program General Education Requirements.
DA Count toward the 60 degree-applicable unts required for receiving an associate degree.

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