# Course Catalog Descriptions

*(Source: 2013-2015 Berkeley City College Catalog)*

## MATH 1, 4 Units

**Pre-Calculus**

*4 hours lecture (GR). Prerequisite: MATH 203 or 211D. Not open for credit to students who have completed or are currently enrolled in MATH 3A-3B or [4A-4B-4C]. Acceptable for credit: UC/CSU*

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.

## MATH 2, 5 Units

**Precalculus with Analytic Geometry**

*5 hours lecture (GR). Prerequisite: MATH 50 or 52C. Acceptable for credit: UC/CSU*

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.

## MATH 3A, 5 Units

**Calculus I**

*5 hours lecture (GR). Prerequisite: Math 1 and MATH 50, or Math 2. Acceptable for credit: UC/CSU*

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.

## MATH 3B, 5 Units

**Calculus II**

*5 hours lecture (GR). Prerequisite: MATH 3A. Acceptable for credit: UC/CSU*

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

## MATH 3C, 5 Units

**Calculus III**

*5 hours lecture (GR). Prerequisite: MATH 3B. Acceptable for credit: UC/CSU*

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

## MATH 3E, 3 Units

**Linear Algebra**

*3 hours lecture (GR). Prerequisite: MATH 3A. MATH 3E and 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: UC/CSU*

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

## MATH 3F, 3 Units

**Differential Equations**

*3 hours lecture (GR). Prerequisite: MATH 3B and 3E. Co-requisite: MATH 3C. Math 3E and 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: UC/CSU*

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

## MATH 11, 4 Units

**Discrete Mathematics**

*4 hours lecture (GR or P/NP). Prerequisite: MATH 3B. Acceptable for credit: UC/ CSU*

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

## MATH 13, 4 Units

**Introduction to Statistics**

*4 hours lecture (GR). Prerequisite: MATH 203 or 211D. Acceptable for credit: UC/CSU*

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.

## MATH 15, 3 Units

**Mathematics for Liberal Arts Students**

*3 hours lecture (GR). Prerequisite: MATH 203 or 211D. Acceptable for credit: UC/CSU*

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

## MATH 16A, 3 Units

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

*3 hours lecture (GR). Prerequisite: MATH 1 or 2. Acceptable for credit: UC/CSU*

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

## MATH 16B, 3 Units

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

*3 hours lecture (GR). Prerequisite: MATH 16A or 3A. Acceptable for credit: UC/CSU*

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

## MATH 18, 3 Units

**Real Number Systems**

*3 hours lecture (GR or P/NP). Prerequisite: MATH 203 or 211D. Acceptable for credit: UC/CSU*

Structure, properties and operations of the real number system: Introduction to set theory, logic and deductive reasoning; Introduction to probability, statistics and inductive reasoning; Review of geometry in two and three dimensions (British and metric measure, perimeter, area, volume, characteristics of basic plane and solid figures). Survey course intended primarily for education majors planning to teach in the primary grades.

## MATH 48UA-ZZ, .5-5 Units

**Selected Topics in Mathematics**

*0-5 hours lecture, 0-15 hours laboratory (GR or P/NP). Acceptable for credit: CSU*

See section on Selected Topics.

## MATH 49, .5-5 Units

**Independent Study in Mathematics**

*.5-5 hours lecture (GR or P/NP). Acceptable for credit: CSU*

See section on Independent Study.

## MATH 50, 3 Units

**Trigonometry**

*3 hours lecture (GR). Prerequisite: 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*

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.

## MATH 201, 4 Units

**Elementary Algebra**

*5 hours lecture (GR). Prerequisite: MATH 250 or 251D or 225 or 253 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.

## MATH 202, 3 Units

**Geometry**

*3 hours lecture (GR). Prerequisite: Math 201 or 210D or appropriate placement through multiple-measures assessment process.*

Introduction 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, 4 Units

**Intermediate Algebra**

*5 hours lecture (GR). Prerequisite: MATH 201 or 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 211ABCD.*

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.

## MATH 206, 5 Units

**Algebra for Statistics**

*6 hours lecture (GR). Prerequisite: MATH 253. Not recommended for science, technology, engineering, mathematics, nursing or business majors.*

Integrated mathematics for statistics: Exploratory data analysis and principles of data collection and calculation; ratios, rates, and proportional reasoning; fractions, decimals and percents; evaluating expressions; analyzing algebraic expressions of statistical measures; modeling bivariate data with linear and exponential functions; graphical and numerical descriptive statistics for quantitative and categorical data.

## MATH 214, 4 Units

**Mathematics for Science Technicians**

*4 hours lecture (GR). Prerequisite: MATH 203 or 211D or appropriate placement through multiple-measures assessment process.*

Mathematics for science technicians: Functions; graphs; solutions of linear and nonlinear equations by algebraic, numeric, geometric, and graphic means; exponential, logarithmic, and trigonometric functions; introduction to problems of calculus and statistics.

## MATH 218, .5-1 Unit

**Math Workshop**

*.25-.5 hours lecture, .75-1.5 hours laboratory (GR or P/NP).*

Reinforcement of problem solving skills through individualized instruction in elementary algebra and/or intermediate algebra.

## MATH 248UA-ZZ, .5-5 Units

**Selected Topics in Mathematics**

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

See section on Selected Topics.

## MATH 250, 3 Units

**Arithmetic**

*3 hours lecture (GR). Not open for credit for students who have completed or are currently enrolled in MATH 251ABCD. Non-degree applicable.*

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

## MATH 251A, 1 Unit

**Arithmetic**

*1 hour lecture (GR). Modular, open-entry/open-exit course. Not open for credit for students who have completed or are currently enrolled in MATH 250. Non-degree applicable.*

Modular course in the fundamental processes of arithmetic: Arithmetic of whole numbers and fractions.

## MATH 251B, 1 Unit

**Arithmetic**

*1 hour lecture (GR). Modular, open-entry/open-exit course. Prerequisite: MATH 251A or appropriate placement through multiple-measures assessment process. Not open for credit for students who have completed or are currently enrolled in MATH 250. Non-degree applicable.*

Modular course in the fundamental processes of arithmetic: Arithmetic of decimals and percents.

## MATH 251C, 1 Unit

**Arithmetic**

*1 hour lecture (GR). Modular, open-entry/open-exit course. Prerequisite: MATH 251B or appropriate placement through multiple-measures assessment process. Not open for credit for students who have completed or are currently enrolled in MATH 250. Non-degree applicable.*

Modular course in the fundamental processes of arithmetic: Ratio, proportion, and arithmetic of measures including the ENGLish and metric systems.

## MATH 251D, 1 Unit

**Arithmetic**

*1 hour lecture (GR). Modular, open-entry/open-exit course. Prerequisite: Math 251C or appropriate placement through multiple-measures assessment process. Not open for credit for students who have completed or are currently enrolled in MATH 250. Non-degree applicable.*

Modular course in the fundamental processes of arithmetic: Application to consumer-oriented problems, and introduction to the solution of equations and formulas.

## MATH 253, 3 Units

**Pre-Algebra**

*3 hours lecture (GR) Recommended preparation: MATH 250 or 251D or appropriate placement through multiple-measures assessment process. Non-degree applicable.*

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 259, .5-1 Unit

**Math Workshop (Basic Skills)**

*.25-.5 hours lecture, .75-1.5 hours laboratory (GR or P/NP).*

Reinforcement of problem solving skills through individualized instruction in arithmetic and/or pre-algebra.

*(Source: 2013-2015 Berkeley City College Catalog)*