 #  # Mathematics Department

Mathematics Department : Courses

## Courses

### Math 105, Arithmetic

Prerequisite: None.

Lecture: 3 hours.

(NDA) - 3 UNITS

Textbook

Course Description:

A review of elementary arithmetic. Topics include whole numbers, fractions, decimals, percent, measurements (including the metric system), and an introduction to elementary algebra.

Student Learning Outcomes::

1.   Perform operations involving whole numbers, decimals and fractions efficiently and adaptively. 2.   Analyze and set up proportion, percent and geometry problems.

### Math 112, Pre-Algebra

Prerequisite: Math 105 or appropriate skill level demonstrated through the MATH assessment process.

Lecture: 3 hours.

(NDA) - 3 UNITS

Textbook

Course Description:

This course bridges the gap between arithmetic and algebra. Topics include a review of arithmetic and an introduction to fundamental algebraic concepts.

Student Learning Outcomes:

1.   Perform operations and simplify numerical and algebraic expression involving integer and rational numbers.

2.   Write linear equations for word problems and solve.

### Math 115, Elementary Algebra

Prerequisite: Math 112, or appropriate skill level demonstrated through the MATH assessment process or by permit.

Lecture: 5 hours.

5 UNITS

Textbook

Course Description:

An introduction to the concepts of algebra, including signed numbers, exponents, linear equations, graphs, and quadratic equations. Contains a variety of problems.

Student Learning Outcomes:

1.Simplify and evaluate various algebraic expressions.

2.Solve, graph, and analyze various algebraic equations and systems of equations, including utilizing them to solve application problems.

### Math 121, Essentials of Plane Geometry

Prerequisite: Math 125 or appropriate skill level demonstrated through the MATH assessment process.

Lecture: 3 hours.

(NDA) - 3 UNITS

Textbook

Course Description:

This course covers the definitions, axioms, and theorems of geometry relating to angles, lines, circles, polygons, and polyhedra. It also provides an introduction to formal proofs, logic, and construction methods with straight-edge and compass.

Student Learning Outcomes::

1.   Solve problems involving various geometric figures applying definitions, postulates and theorems.

2.   Use deductive reasoning to write proofs of theorems and corollaries.

### Math 123A, Elementary and Intermediate Algebra I

Prerequisite: Math 112 or appropriate skill level demonstrated through the MATH assessment process.

Lecture: 4 hours.

(NDA) - 4 UNITS

Textbook

Course Description:

First of three modules for Math 123, covering topics from Elementary Algebra, including properties of real numbers; linear equations and inequalities; polynomials; factoring fi rst-and second-degree expressions; application problems; graphics. Course has a computer lab component.

Student Learning Outcomes:

1.Analyze, solve and graph linear equations in one or two variables.

2.Set up and solve higher degree equations by the factoring method.

### Math 123B, Elementary and Intermediate Algebra II

Prerequisite: Math 123A, or appropriate skill level demonstrated through the MATH assessment process or by permit.

Lecture: 4 hours.

4 UNITS

Textbook

Course Description:

Second of the three modules for Math 123, covering topics from Elementary and Intermediate Algebra, including solving rational equations; systems of equations; quadratic equations; applications; radicals; rational exponents. Course has a computer lab component.

Student Learning Outcomes:

1.Apply the appropriate strategy to simplify algebraic expressions.

2.Solve equations (linear, quadratic, rational and radical equations) and systems including application problems.

### Math 123C, Elementary and Intermediate Algebra III

Prerequisite: Math 123B or appropriate skill level demonstrated through the MATH assessment process.

Lecture: 4 hours.

4 UNITS

Textbook

Course Description:

Third of three modules for Math 123, covering topics from Intermediate Algebra, including operations on functions; complex numbers; conic sections; logarithms and exponential functions. Course has a computer lab component.

Student Learning Outcomes:

1.Apply the appropriate strategy to solve, graph and analyze various equations and inequalities (absolute value, exponential and logarithmic equations).

2.Use and interpret function notations in both algebraic and graphical contexts.

### Math 125, Intermediate Algebra

Prerequisite: Math 115 or appropriate skill level demonstrated through the MATH assessment process.

Lecture: 5 hours.

(NDA) - 5 UNITS

Textbook

Course Description:

Fundamental laws, exponents, radicals, equations (linear, quadratic, and some of higher degree), systems of equations and inequalities (linear and quadratic), conics, complex numbers, functions, logarithms and binomial theorem.

Student Learning Outcomes:

1.   Solve, graph, and analyze various equations or systems of equations and inequalities.

2.   Interpret, graph and analyze various functions.

### Math 137, Pre-Statistics Algebra

Prerequisite: Math 112 with a grade of â€˜Câ€™ or better, or appropriate skill level demonstrated through the Mathematics assessment process, or by permit

Lecture: 6 hours.

(NDA) - 5 UNITS

Textbook

Math 137 Workbook
Samii     978-0-840097-00-2

Course Description:

Introduces algebra topics and the basic elements of exploratory data analysis. Topics in the course include: solving algebraic equations, simplifying algebraic expressions, data analysis, sample statistics and graphs, measures of central tendency and spread, functions and their graphs, probability, sequences and series, and exponential and logarithmic functions .This class is intended as preparation for students who wish to take Statistics. Students wishing to take other 200 level math courses will require Math 125 and should consult the college catalog for prerequisites.

Student Learning Outcomes::

1. Construct, evaluate, and analyze mathematical models, specifically linear and exponential functions, to represent relationships in quantitative data.

### Math 215, Principles of Mathematics I

Prerequisite: Math 125 or Math 123C or appropriate skill level demonstrated through the Math assessment process..

Lecture: 3 hours.

(NDA) - 3 UNITS

Entry Skills:
The ability to solve the linked problem sets below represents the minimum knowledge necessary to have a chance of successful completion of the course.
Problem Set       Solutions
If you are unable to correctly answer the questions in the above problem sets, you are strongly advised to take Math 115 (Elementary Algebra).

Textbook

Course Description:

A review of elementary arithmetic. Topics include whole numbers, fractions, decimals, percent, measurements (including the metric system), and an introduction to elementary algebra.

Student Learning Outcomes::

1. Utilize numbers and arithmetical operations efficiently and adaptively. 2. Solve application problems involving arithmetic operations. 3. Describe and analyze mathematically the spatial features of objects.

### Math 227, Elementary Statistics

Prerequisite: Math 125 or appropriate skill level demonstrated through the MATH assessment process.

Lecture: 4 hours.

(NDA) - 4 UNITS

Textbook

Course Description:

Course includes the following topics: graphical techniques; probability and probability distributions; sampling; estimation; correlations; regression; hypotheses testing; categorical data. Emphasis is on data analysis and interpretation, using sample data to extrapolate population characteristics.

Student Learning Outcomes:

1.  Use probability concepts to solve problems and interpret their results.

2.  Demonstrate proficiency in descriptive statistics and inferential analyses to draw conclusions about a population.

### Math 238, Calculus For Business and Social Science I

Prerequisite: Math 125 or appropriate skill level demonstrated through the Math assessment process.

Lecture: 5 hours.

5 UNITS

Entry Skills:
The ability to solve the linked problem sets below represents the minimum knowledge necessary to have a chance of successful completion of the course.
Problem Set       Solutions
If you are unable to correctly answer the questions in the above problem sets, you are strongly advised to take Math 125 (Intermediate Algebra) or Math 134 (Accelerated Elementary and Intermediate Algebra).

Textbook

Course Description:

Course includes the following topics and their business applications: polynomial, exponential and logarithmic functions; differentiation and integration; integration by parts; numerical integration; improper integrals; multivariable calculus.

Student Learning Outcomes:

1. Apply the techniques of calculus to solve business-related problems.

### Math 240, Trigonometry

Prerequisite: Math 121 and 125, or Math 120 and 125 or appropriate skill level demonstrated through the Math assessment process.

Lecture: 3 hours.

(NDA) - 3 UNITS

Entry Skills:
The ability to solve the linked problem sets below represents the minimum knowledge necessary to have a chance of successful completion of the course.
Problem Set      Solutions
If you are unable to correctly answer the questions in the above problem sets, you are strongly advised to take Math 121 (Geometry) or Math 125 (Intermediate Algebra) or Math 134 (Accelerated Elementary and Intermediate Algebra).

Textbook

Course Description:

This course studies the trigonometric functions, including their values, graphs, inverses, and verifying identities. It also includes solving right triangles and others, radian measure and polar equations.

Student Learning Outcomes::

1. Examine and interpret the graphs of basic trigonometric functions and their transformation.

2. Apply concepts of trigonometry to solve problems involving trigonometric functions.

### MATH 245, College Algebra

Prerequisite: Math 125 or appropriate skill level demonstrated through the Math assessment process.

Lecture: 3 hours.

(NDA) - 3 UNITS

Entry Skills:
The ability to solve the linked problem sets below represents the minimum knowledge necessary to have a chance of successful completion of the course.
Problem Set      Solutions
If you are unable to correctly answer the questions in the above problem sets, you are strongly advised to take Math 125 (Intermediate Algebra) or Math 134 (Accelerated Elementary and Intermediate Algebra).

Textbook

Course Description:

The properties of real numbers, relations, functions and their graphs, matrices and determinants, complex numbers, theory of equations, permutations, combinations, and probabilit

Student Learning Outcomes:

1. Solve and/or graph higher order equations, functions, systems of equations and inequalities.

2. Calculate sums and terms of sequences and series.

### Math 260, Pre-Calculus

Prerequisite: Math 240 or appropriate skill level demonstrated through the Math assessment process.

Lecture: 5 hours.

(NDA) - 5 UNITS

Entry Skills:
The ability to solve the linked problem sets below represents the minimum knowledge necessary to have a chance of successful completion of the course.
Problem Set      Solutions
If you are unable to correctly answer the questions in the above problem sets, you are strongly advised to take Math 125 (Intermediate Algebra) or Math 134 (Accelerated Elementary and Intermediate Algebra) or Math 240 (Trigonometry).

Textbook

Course Description:

Consists of topics essential for a comprehensive background for the calculus sequence. Topics include functional analysis, analytic geometry, theory of equations, induction, sequences and series, trigonometry and polar coordinates.

Student Learning Outcomes:

1. Manipulate and simplify algebraic and trigonometric expressions and equations common in a Calculus course.

2. Graph and analyze various functions common in a calculus course.

### Math 265, Calculus with Analytic Geometry I

Prerequisite: Math 240 and 245 or 260 or appropriate skill level demonstrated through the Math assessment process.

Lecture: 5 hours.

(NDA) - 5 UNITS

Entry Skills:
The ability to solve the linked problem sets below represents the minimum knowledge necessary to have a chance of successful completion of the course.
Problem Set    Solutions
If you are unable to correctly answer the questions in the above problem sets, you are strongly advised to take Math 245 (College Algebra) or Math 240 (Trigonometry).

Textbook

Course Description:

First course of calculus and includes functions, limits, derivatives and their applications, differentials, integrals and their applications.

Student Learning Outcomes:

1. Determine and analyze limits and derivatives as appropriate to single variable calculus.

2. Evaluate and interpret integrals as appropriate to single variable calculus.

### Math 266, Calculus with Analytic Geometry II

Prerequisite: Math 265.

Lecture: 5 hours.

(NDA) - 5 UNITS

Textbook

Course Description:

Second course of calculus. Includes differentiation and integration of transcendental functions, polar coordinates, specialized methods of integration, parametric equations, and infi nite series.

Student Learning Outcomes:

1.   Demonstrate proficiency in evaluating integrals using various techniques of integration.

2.   Determine convergence/divergence of sequences and series.

### Math 267, Calculus with Analytic Geometry III

Prerequisite: Math 266.

Lecture: 5 hours.

(NDA) - 5 UNITS

Textbook

Course Description:

This course of calculus, includes solid analytic geometry, partial differentiation, multiple integration, vector analysis, infinite series and an introduction to differential equations.

Student Learning Outcomes:

1. Analyze vectors and surfaces in three dimensions geometrically and algebraically.

2. Apply the concepts of differentiation and integration of functions to solve multivariable calculus problems.

### Math 270, Linear Algebra

Prerequisite: Math 266.

Lecture: 5 hours.

(NDA) - 5 UNITS

Textbook

Course Description:

Covers vector spaces, linear transformation, matrices, matrix algebra, determinants, Eigen vectors and Eigen values.

Student Learning Outcomes:

1.  Solve a system of linear equations using matrix methods.

2.  Apply results from solutions of systems to questions of basis, dimension, and linear independence in vector spaces.

### Math 275, Ordinary Differential Equations

Prerequisite: Math 266.

Lecture: 5 hours.

(NDA) - 5 UNITS

Textbook

Course Description:

First and higher linear equations are treated completely including techniques of exactness, separation of variables; special cases of nonlinear equations are investigated.

Student Learning Outcomes:

1. Formulate an appropriate differential equation to model and solve applied problems using various methods.

2. Solve higher-order constant-coefficient linear differential equations and systems of differential equations using various methods.

## Contact Us

CMS 124

(818) 833-3341

#### Margarita Padilla

padillm@laccd.edu