# Mathematics Courses

## Courses

#### Prerequisite:

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

Lecture: 3 hours.

(NDA) - 3 UNITS

#### 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:

- Solve problems involving various geometric figures applying definitions, postulates and theorems.
- Use deductive reasoning to write proofs of theorems and corollaries.

#### Prerequisite:

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

Lecture: 5 hours.

(NDA) - 5 UNITS

#### 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.

- Solve, graph, and analyze various equations or systems of equations and inequalities.
- Interpret, graph and analyze various functions.

#### 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

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:

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

#### 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).

#### 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:

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

#### Prerequisite:

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

Lecture: 4 hours. (NDA) - 4 UNITS

#### 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:

- Use probability concepts to solve problems and interpret their results.
- Demonstrate proficiency in descriptive statistics and inferential analyses to draw conclusions about a population.

#### Prerequisite:

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

Lecture: 4 hours, Lab: 1 hour.

(NDA) - 4 UNITS

#### 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:

- Use probability concepts to solve problems and interpret their results.
- Demonstrate proficiency in descriptive statistics and inferential analyses to draw conclusions about a population.

#### 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.

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:

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

#### 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).

#### 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:

- Examine and interpret the graphs of basic trigonometric functions and their transformation.
- Apply concepts of trigonometry to solve problems involving trigonometric functions.

#### Prerequisite:

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

Lecture: 3 hours, Lab: 1 hour. (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.

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).

#### Course Description:

Introduces trigonometric functions, their graphs, inverses, and fundamental identities. Trigonometric equations are solved. The laws of sines and cosines; vectors; scalar and vector products are introduced. Polar coordinates and equations are introduced and used to represent complex numbers.

#### Student Learning Outcomes:

- Examine and interpret the graphs of basic trigonometric functions and their transformation.
- Apply concepts of trigonometry to solve problems involving trigonometric functions.

#### Prerequisite:

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

Lecture: 3 hours.

(NDA) - 3 UNITS

#### Entry Skills:

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).

#### Course Description:

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

#### Student Learning Outcomes:

- Solve and/or graph higher order equations, functions, systems of equations and inequalities.
- Calculate sums and terms of sequences and series.

#### 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).

#### 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:

- Manipulate and simplify algebraic and trigonometric expressions and equations common in a Calculus course.
- Graph and analyze various functions common in a calculus course.

#### 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).

#### Course Description:

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

#### Student Learning Outcomes:

- Determine and analyze limits and derivatives as appropriate to single variable calculus.
- Evaluate and interpret integrals as appropriate to single variable calculus.

#### Prerequisite:

Math 265.

Lecture: 5 hours.

(NDA) - 5 UNITS

#### Course Description:

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

#### Student Learning Outcomes:

- Demonstrate proficiency in evaluating integrals using various techniques of integration.
- Determine convergence/divergence of sequences and series.

#### Prerequisite:

Math 266.

Lecture: 5 hours.

(NDA) - 5 UNITS

#### 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:

- Analyze vectors and surfaces in three dimensions geometrically and algebraically.
- Apply the concepts of differentiation and integration of functions to solve multivariable calculus problems.

#### Prerequisite:

Math 266.

Lecture: 5 hours.

(NDA) - 5 UNITS

#### Course Description:

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

#### Student Learning Outcomes:

- Solve a system of linear equations using matrix methods.
- Apply results from solutions of systems to questions of basis, dimension, and linear independence in vector spaces.

#### Prerequisite:

Math 266.

Lecture: 5 hours.

(NDA) - 5 UNITS

#### 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:

- Formulate an appropriate differential equation to model and solve applied problems using various methods.
- Solve higher-order constant-coefficient linear differential equations and systems of differential equations using various methods.

## Contact Us

### Office Location

CMS 124

### Contact

Bamdad Samii, Department Chair

Phone: (818) 833-3379

Margarita Padilla, Department Secretary

Phone: (818) 364-7894