# Mathematics Course Description

### Pre-Calculus

Course Number: MATH 1

Units: 4

Class: 4 hours lecture (GR)

Prerequisite(s) MATH 203, 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, logarithmic and exponential functions; function concept used as a unifying notion.

### Precalculus with Analytic Geometry

Course Number: MATH 2

Units: 5

Class: 5 hours lecture (GR)

Prerequisite(s) MATH 50 or 52A-C

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.

### Calculus I

Course Number: MATH 3A

Units: 5

Class: 5 hours lecture (GR)

Prerequisite(s) MATH 1 or MATH 2 or MATH 50 or MATH 52A-C

Acceptable for credit: CSU, UC

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.

### Calculus II

Course Number: MATH 3B

Units: 5

Class: 5 hours lecture (GR)

Prerequisite MATh 3A

Acceptable for credit: CSU, UC

Description: Applications of the definite integral methods of integration, polar coordinates, parametric equations, infinite and power series

### Calculus III

Course Number: MATH 3C

Units: 5

Class: 5 hours lecture (GR)

Prerequisite 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.

### Linear Algebra

Course Number: MATH 3E

Units: 3

Class: 3 hours lecture (GR)

Prerequisite MATH 3A

MATH 3E plus 3F are equivalent to MATH 3D

Not open for credit to students who have completed or are currently enrolled in MATH 3D

Acceptable for credit: CSU, UC

Description: Linear algebra Gaussian and Gauss- ordon elimination, matrices, determinants, vectors in R2 and R3, real and complex vector spaces, inner product spaces, linear transformations, eigenvalues, eigenvectors, and applications.

### Differential Equations

Course Number: MATH 3F

Units: 3

Class: 3 hours lecture (GR)

Prerequisite(s) MATH 3B, MATH 3E

Corequisite MATH 3C

MATH 3E plus 3F are equivalent to MATH 3D

Not open for credit to students who have completed or are currently enrolled in MATH 3D

Acceptable for credit: CSU, UC

Description: Ordinary differential equations First-order, second- order, and higher-order equations; separable and exact equations, series solutions, Laplace transformations, systems of di erential equations

### Discrete Mathematics

Course Number: MATH 11

Units: 4

Class: 4 hours lecture (GR or P/NP)

Prerequisite MATH 3B

Acceptable for credit: CSU, UC

Discrete mathematics Mathematical induction, finite series, sets, relations and functions, introduction to trees, combinatorics, algebraic structures, and probability.

### Introduction to Statistics

Course Number: MATH 13

Units: 4

Class: 4 hours lecture (GR)

Prerequisite MATH 203 or MATH 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 variance. Regression and non- parametric methods.

### Mathematics for Liberal Arts Students

Course Number: MATH 15

Units: 3

Class: 3 hours lecture (GR)

Prerequisite MATH 203

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.

### Calculus for Business and the Life and Social Sciences

Course Number: MATH 16A

Units: 3

Class: 3 hours lecture (GR)

Prerequisite(s) MATH 1 or MATH 2

Acceptable for credit: CSU, UC

Description: Introduction to analytic geometry, differential and integral calculus of algebraic function, particular attention paid to simple applications.

### Calculus for Business and the Life and Social Sciences

Course Number: MATH 16B

Units: 3

Class: 3 hours lecture (GR)

Prerequisite(s) MATH 16 or MATH 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.

### Selected Topics in Mathematics

Class Number: MATH 48GA-MZ

Units: .5-5

Class: 0-5 hours lecture, 0-15 hours laboratory (GR)

Acceptable for credit: CSU, UC◆

See section on Selected Topics. 1701.00

### Independent Study in Mathematics

Course Number: MATH 49

Units: .5-5 units (GR)

Acceptable for credit: CSU, UC◆

See section on Independent Study. 1701.00

### Trigonometry

Course Number: MATH 50

Units: 3

Class: 3 hours lecture (GR)

Prerequisite(s) MATH 202, and MATH 203 or MATH 211D

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

### Elementary Algebra

Course Number: MATH 201

Units: 4

Class: 5 hours lecture (GR)

Prerequisite(s) MATH 253 or MATH 250 or appropriate placement through multiple-measures assessment process

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

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.

### Geometry

Course Number: MATH 202

Units: 3

Class: 3 hours lecture (GR)

Prerequisite(s) MATH 201 or MATH 210D or appropriate placement through multiple-measures assessment process

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.

### Intermediate Algebra

Course Number: MATH 203

Units: 4

Class: 5 hours lecture (GR)

Prerequisite(s) MATH 201 or MATH 210A-D

Recommended preparation AT 202

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

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 rst- degree, quadratic, and rational inequalities; exponential and logarithmic functions; and sequences and series.

### Mathematics for Laboratory Sciences

Course Number: MATH 208

Units: 3

Class: 3 hours lecture (GR)

Recommended Preparation MATH 253

Description: Applications 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.

### Elementary Algebra (Lab)

Course Number: MATH 210A

Unit: 1

Class: 3 hours laboratory (GR)

Modular, open-entry/open-exit course

Prerequisite(s) MATH 225 or MATH 250 or MATH 251D or MATH 253 or appropriate placement through multiple measures assessment process.

Not open for credit to students who have completed or are currently enrolled in MATH 201

Description: Elementary Algebra Lab A: Real number properties, the four basic operations with integers and rational numbers, solutions of linear equations.

### Elementary Algebra (Lab)

Course Number: MATH 210B

Unit: 1

Class: 3 hours laboratory (GR)

Modular, open-entry/open-exit course

Prerequisite MATH 210A

Not open for credit to students who have completed or are currently enrolled in MATH 201

Description: Elementary Algebra Lab B: Applications utili ing rst-degree equations, the four basic operations ith polynomials, integral exponents, factoring.

### Elementary Algebra (Lab)

Course Number: MATH 210C

Unit: 1

Class: 3 hours laboratory (GR)

Modular, open-entry/open-exit course

Prerequisite MATH 210B

Not open for credit to students who have completed or are currently enrolled in MATH 201

Description: Elementary Algebra Lab C: Algebraic fractions, graphs of linear equations, solutions of linear systems.

### Elementary Algebra (Lab)

Course Number: MATH 210D

Unit: 1

Class: 3 hours laboratory (GR)

Modular, open-entry/open-exit course

Prerequisite MATH 210C

Not open for credit to students who have completed or are currently enrolled in MATH 201

Description: Elementary Algebra Lab D: Solutions of first-degree inequalities, graphs of linear inequalities in two variables, radical expressions, solutions to quadratic equations.

### Intermediate Algebra (Lab)

Course Number: MATH 211A

Unit: 1

Class: 3 hours laboratory (GR)

Modular, open-entry/open-exit course

Prerequisite(s) MATH 201 or MATH 210D or appropriate placement through multiple-measures assessment process

Recommended preparation MATH 202

Not open for credit to students who have completed or are currently enrolled in MATH 203

Description: Intermediate 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.

### Intermediate Algebra (Lab)

Course Number: MATH 211B

Unit: 1

Class: 3 hours laboratory (GR)

Modular, open-entry/open-exit course

Prerequisite MATH 211A

Not open for credit to students who have completed or are currently enrolled in MATH 203

Description: Intermediate Algebra Lab B: Polynomial operations and advanced factoring, rational expressions and equations, exponents and radicals, complex numbers.

### Intermediate Algebra (Lab)

Course Number: MATH 211C

Unit: 1

Class: 3 hours laboratory (GR)

Modular, open-entry/open-exit course

Prerequisite MATH 211B

Not open for credit to students who have completed or are currently enrolled in MATH 203

Description: Intermediate Algebra Lab C: Quadratic equations, conics, systems of linear and quadratic equations, determinants.

### Intermediate Algebra (Lab)

Course Number: MATH 211D

Unit: 1

Class: 3 hours laboratory (GR)

Modular, open-entry/open-exit course

Prerequisite MATH 211C

Not open for credit to students who have completed or are currently enrolled in MATH 203

Description: Intermediate Algebra Lab D: Solutions and graphs

of first-degree, quadratic and rational inequalities, exponential and logarithmic functions, sequences and series.

### Technical Mathematics with Algebra – Part 1 (Lab)

Course Number: MATH 220A

Unit: .5

Class: 1.5 hours laboratory (GR or P/NP)

Description: Recommended preparation MATH 253 or MATH 250 or math placement exam

Selected topics in algebra useful for the vocations: Signed numbers, exponents, roots, order of operations; applications to the trades.

### Technical Mathematics with Algebra – Part 2 (Lab)

Course Number: MATH 220B

Unit: .5

Class: 1.5 hours laboratory (GR or P/NP)

Prerequisite MATH 220A

Description: Selected topics in algebra useful for the vocations: Algebraic expressions, solving linear equations, formulas, ratio and proportion, word problems; applications to the trades.

### Technical Mathematics with Algebra – Part 3 (Lab)

Course Number: MATH 220C

Unit: .5

Class: 1.5 hours laboratory (GR or P/NP)

Prerequisite MATH 220B

Description: Selected topics in algebra useful for the vocations: Systems of equations, solving by substitution, solving by elimination, word problems; applications to the trades.

### Technical Mathematics with Algebra – Part 4 (Lab)

Course Number: MATH 220D

Unit: .5

Class: 1.5 hours laboratory (GR or P/NP)

Prerequisite MATH 220C

Description: Selected 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.

### Technical Mathematics with Geometry– Part 1 (Lab)

Course Number: MATH 220E

Unit: .5

Class: 1.5 hours laboratory (GR or P/NP)

Prerequisite MATH 220D

Description: Practical plane geometry: Angles, polygons, types of triangles, Pythagorean Theorem, circles, perimeter and area of plane figures examples and problems drawn from the trades.

### Technical Mathematics with Geometry– Part 2 (Lab)

Course Number: MATH 220F

Unit: .5

Class: 1.5 hours laboratory (GR or P/NP)

Prerequisite MATH 220E

Description: Practical solid geometry and geometric constructions: Definitions, surface area volumes of prisms, pyramids, cylinders, cones, spheres constructions of specific lines, angles, and triangles.

### Technical Mathematics with Trigonometry (Lab)

Course Number: MATH 220G

Unit: 1

Class: 3 hours laboratory (GR or P/NP)

Prerequisite MATH 220E

Description: Trigonometry useful for the vocations: Right triangle trigonometry, angle measurement in degrees and radians, basic trigonometric functions of acute and obtuse angles, solving triangles; applications to the trades.

### Technical Mathematics

Course Number: MATH 221

Units: 4

Class: 4 hours lecture (GR)

Prerequisite MATH 250

Not open for credit to students who have completed or are currently enrolled in MATH 220A-G

Description: Selected topics in algebra useful for the vocations: signed numbers, exponents, roots, order of operations. Applications to the trades.

### Selected Topics in Mathematics

Course Number: MATH 248GA-MZ

Units: .5-5

Class: 0-5 hours lecture, 0-15 hours laboratory (GR)

See section on Selected Topics.

### Arithmetic

Course Number: MATH 250

Units: 3

Class: 3 hours lecture (GR)

Not open for credit to students who have completed 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.

### Pre-Algebra

Course Number: MATH 253

Units: 3

Class: 3 hours lecture (GR)

Recommended preparation MATH 250 or 251A-D 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.

### MATH Lab (Non-Credit)

Course Number: MATH 501

Unit: 0

Class: 1-15 hours laboratory (Not graded)

Corequisite Any MATH course taught in the Peralta Community College District.

Course study under this section may be repeated as necessary.

Description: Supervised tutoring of the learning objectives of courses offered by the mathematics department