## What can I do with this?

We are now offering associate degrees for transfer to the CSU. This provides a clear pathway to a CSU major and baccalaureate degree. This AS-T degree guarantees admission with junior standing somewhere in the CSU system and gives priority admission consideration to your local CSU campus or to a program that is deemed similar to your community college major. This priority does not guarantee admission to specific majors or campuses. More information on the Degree with a Guarantee Program.

### The Mathematics Degree for Transfer

- Guarantees acceptance to the CSU system to earn a baccalaureate in
- applied or theoretical mathematics
- mathematics education
- statistics
- engineering
- natural or physical science
- economics

Current and prospective community college students are encouraged to meet with a counselor to review their options for transfer and to develop an educational plan that best meets their goals and needs.

## What will I learn?

- To use the Cartesian, polar, cylindrical, and spherical coordinate systems effectively.
- To use scalar and vector products in applications.
- To use vector-valued functions to describe motion in space.
- To extend the concepts of derivatives, differentials, and integrals to include multiple independent variables.
- To solve simple differential equations of the first and second order.
- To analyze and model the behaviors of physical phenomena by applying advanced calculus concepts.
- To apply broad mathematical concepts to practical applications.

Program Learning Outcome Assessments

## What courses do I take?

*Note: Some courses within the major may have a required prerequisite. If you feel
you have equivalent knowledge and skills to those included in the prerequisite course
through professional experience, licensure, or certification, you have the opportunity
to submit a Prerequisite Challenge to be reviewed by the faculty chair. For the Prerequisite
Challenge to be considered, you must submit documentation/verification to substantiate
the basis for the challenge. Please consult a counselor for more information regarding
Prerequisite Challenge.*

#### Complete all of the following courses:

Prerequisite: MATH C141, MATH C142

72 hours lecture. This course provides students with a foundation in differential and integral calculus with emphasis on both skills and applications. Topics include functions, limits, derivatives of polynomial, trigonometric, parametric, and implicit functions, applications of differentiation, the indefinite integral, the definite integral, and applications of the definite integral. Approved for IGETC Area 2, CSU GE Area B4, Local GE Area 4.

Prerequisite: MATH C151

72 hours lecture. This course is a continuation of Analytic Geometry and Calculus I, extending the skills of differentiation and integration by learning new techniques and working with the transcendental functions. Other major topics include sequences, series, polar coordinates and parameterization of plane curves. Approved for IGETC Area 2, CSU GE Area B4, Local GE Area 4.

Prerequisite: MATH C152

72 hours lecture. This course is a continuation of Analytical Geometry and Calculus II, extending the skills of differentiation and integration by learning new techniques and working with partial derivatives and double and triple integrals. Other major topics include cylindrical and spherical coordinates, quadric surfaces, vector functions, vector analysis, Green's theorem and Stoke's theorem. Approved for IGETC Area 2, CSU GE Area B4.

#### Choose a minimum of 7 units from below with at least 4 units from Area A:

#### Area A

Prerequisite: MATH C251. Advisory: A computer algebra system or graphing calculator and basic computer skills are strongly recommended

72 hours lecture. This course provides students with a foundations of differential equations of change, motion, and growth within chemical, physical, biological, and business systems with problem solving and applications. Students are introduced to modeling using mathematical software used in industry to solve complex problems. First, second, and higher order differential equations including Euler's Method, Eigenvalues, Numerical Methods, Non-linear Systems, and La Place Transforms are covered. Approved for IGETC Area 2, CSU GE Area B4.

Prerequisite: MATH C152

72 hours lecture. This course covers the following topics: systems of linear equations, matrices, n-dimensional real vector spaces, general vector spaces, linear transformations, eigenvalues and eigenvectors, and applications of the above topics. Approved for IGETC Area 2, CSU GE Area B4, Local GE Area 4.

#### Area B

C-ID: MATH 110 Introduction to Statistics

Prerequisite: MATH C053 or MATH C055

54 hours lecture/54 hours laboratory. This course covers data analysis using descriptive and inferential statistics. Graphs and computations include measures of central tendency and dispersion, correlation and regression, and presentation of data on a histogram, scatter plot, box plot, and the normal curve. Probability concepts include those for discrete and continuous random variables. Sampling and hypothesis testing are covered for means and variances. Topics from algebra are combined with applications in statistics in the lab portion of the class. This course applies to the degree requirements for students not majoring in Science, Technology, Engineering, and Math (STEM) fields. Approved for IGETC Area 2, CSU GE Area B4, Local GE Area 4.

C-ID: MATH 110 Introduction to Statistics

Prerequisite: MATH C053 or MATH C055. Advisory: ENGL C101 Limitation on Enrollment: Acceptance to the Honors Program or eligibility for this honors course as determined by the instructor.

72 hours lecture/54 hours laboratory. This course covers elements of descriptive statistics, measures of central tendency, dispersion and presentation of data. Included are concepts of probability, random variables and normally distributed random variables. Sampling error, sampling processes and the distribution of sample means are applied to real life examples. Students will conduct hypothesis testing of means and proportions for one and two populations and linear regression testing using the least squares criterion. Students use descriptive and inferential methods employing linear regression and study one and two way analysis of variance. The honors section provides more content and requires greater intensity and depth of study than the non-honors class; the honors course also requires at least one extra research assignment. Approved for IGETC Area 2, CSU GE Area B4, Local GE Area 4.

C-ID: COMP 122 Programming Concepts and Methodology I

Prerequisite: MATH C055. Advisory: IT C101

36 hours lecture/54 hours laboratory. This course explores topics that provide students with a foundation in computer science. This course covers the fundamental issues of algorithms, computer organization, software, computational theory, fundamental object oriented programming and social and ethical issues of computing.

C-ID ITIS 130 Introduction to Programming Concepts and Methodologies

Prerequisite: IT C101

36 hours lecture/54 hours laboratory. This course is an introduction to the fundamental concepts and models of application development including the basic concepts of program design, data structures, programming, problem solving, programming logic, and fundamental design techniques for event-driven programs. Students receive hands-on experience with a modern application programming language and development platform.

C-ID: PHYS 205 Calculus-Based Physics for Scientists and Engineers: A

Prerequisite/Co-requisite: MATH C151

63 hours lecture/81 hours laboratory. This course covers the fundamental laws of nature governing the motion of bodies and their relation to external forces. Motion in 1, 2, and 3 dimensions is covered as well as energy, linear momentum, angular momentum, gravitation, fluids, oscillations, and simple harmonic motion. Approved for IGETC Area 5A & 5C, CSU GE Area B1 & B3, Local GE Area 1.

#### General Ed Requirements

Complete one of the following general education patterns:

## Program Pathways

All classes needed for this degree are available at the following campuses: **CC Online** **Ridgecrest / IWV**

Additionally, some of the general education courses needed to complete this major are available at all our locations.

See Counseling for specific help with enrolling and completing this major.

## How can I afford it?

This degree requires 60.0 units and will likely take 4 semesters.

### Approximate Total Costs

**CA Residents**

60.0 units

at $46 per unit

Equals $2,760 in tuition and fees

Plus approximately $3,600* for books and supplies

Total cost $6,360 for 4 semesters

**Non-residents**

60.0 units

at $388 per unit

Equals $23,280 in tuition and fees

Plus approximately $3,600* for books and supplies

Total cost $26,880 for 4 semesters

*This is an estimate. Actual costs will vary.

Need help? Financial Aid can help with fee waivers and scholarships and other aid. Make sure to fill out your FAFSA every January.