*2021 - 2022 Catalog*

Course Descriptions for Mathematics

**Course Number: MATH 1314**

*(3 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: College Algebra

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**College level ready in Mathematics algebra-based level.

Course Description: This course is an in-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included. This course is cross-listed as MATH 1414. The student may register for either MATH 1314 or MATH 1414 but may receive credit for only one of the two. (3 Lec.)

Coordinating Board Academic Approval Number 2701015419

**Course Number: MATH 1316**

*(3 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Plane Trigonometry

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**MATH 1314 or equivalent.

Course Description: In depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations, graphing, and solving triangles. Additional topics such as vectors, polar coordinates, and parametric equations may be included. (3 Lec.)

Coordinating Board Academic Approval Number 2701015319

**Course Number: MATH 1324**

*(3 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Mathematics for Business and Social Sciences

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**College level ready in Mathematics algebra-based level.

Course Description: The application of common algebraic functions, including polynomial, exponential, logarithmic, and rational, to problems in business, economics, and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value. (3 Lec.)

Coordinating Board Academic Approval Number 2703015219

**Course Number: MATH 1325**

*(3 Credit Hours)**Listed by Campus(es): BHC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Calculus for Business and Social Sciences

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**MATH 1324, MATH 1314 or MATH 1414.

Course Description: This course is the basic study of limits and continuity, differentiation, optimization and graphing, and integration of elementary functions, with emphasis on applications in business, economics, and social sciences. This course is not a substitute for MATH 2413, Calculus I. This course is cross-listed as MATH 1425. The student may register for either MATH 1325 or MATH 1425 but may receive credit for only one of the two. (3 Lec.)

Coordinating Board Academic Approval Number 2703015319

**Course Number: MATH 1332**

*(3 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Contemporary Mathematics (Quantitative Reasoning)

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**College level ready in Mathematics at the non-algebra or algebra levels.

Course Description: Intended for Non STEM (Science, Technology, Engineering, and Mathematics) majors. Topics include introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communication should be embedded throughout the course. Additional topics may be covered. (3 Lec.)

Coordinating Board Academic Approval Number 2701015119

**Course Number: MATH 1342**

*(3 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Elementary Statistical Methods

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**College level ready in Mathematics at the non-algebra or algebra levels.

Course Description: This course is a study of collection, analysis, presentation and interpretation of data, and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Use of appropriate technology is recommended. (3 Lec.)

Coordinating Board Academic Approval Number 2705015119

**Course Number: MATH 1350**

*(3 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Mathematics for Teachers I (Fundamentals of Mathematics I)

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**MATH 1314 or the equivalent.

Course Description: This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the conceptual development of the following: sets, functions, numeration systems, number theory, and properties of the various number systems with an emphasis on problem solving and critical thinking. (3 Lec.)

Coordinating Board Academic Approval Number 2701015619

**Course Number: MATH 1351**

*(3 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Mathematics for Teachers II (Fundamentals of Mathematics II)

This is a Texas Common Course Number.**Prerequisite Required:**MATH 1314 or 1414 College Algebra.

Course Description: This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the concepts of geometry, measurement, probability, and statistics with an emphasis on problem solving and critical thinking. (3 Lec.)

Coordinating Board Academic Approval Number 2701015719

**Course Number: MATH 1414**

*(4 Credit Hours)*MATH 1414 is a 4 credit hour lecture course. MATH 1314 is a 3 credit hour lecture course. Either course will meet degree requirements. A student may receive credit for MATH 1414 or MATH 1314 but not for both.

*Course not offered this year on any campus of Dallas College.*

### Course Title: College Algebra

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**College level ready in Mathematics algebra-based level.

Course Description: This course is an in-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included. This course is cross-listed as MATH 1314. The student may register for either MATH 1314 or MATH 1414 but may receive credit for only one of the two. (4 Lec.)

Coordinating Board Academic Approval Number 2701015419

**Course Number: MATH 2305**

*(3 Credit Hours)**Listed by Campus(es): BHC, EFC, ECC, RLC*

### Course Title: Discrete Mathematics

This is a Texas Common Course Number.**Prerequisite Required:**MATH 2413.

Course Description: A course designed to prepare math, computer science, and engineering majors for a background in abstraction, notation, and critical thinking for the mathematics most directly related to computer science. Topics include: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, combinatorics, discrete probability, recursion, sequence and recurrence, elementary number theory, graph theory, and mathematical proof techniques. (3 Lec.)

Coordinating Board Academic Approval Number 2701016619

**Course Number: MATH 2318**

*(3 Credit Hours)**This course is not currently offered by Richland Campus.*

*Listed by Campus(es): BHC, ECC, MVC, NLC*

### Course Title: Linear Algebra

This is a Texas Common Course Number.**Prerequisite Required:**MATH 2414.

Course Description: Introduces and provides models for application of the concepts of vector algebra. Topics include finite dimensional vector spaces and their geometric significance; representing and solving systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion; matrices; determinants; linear transformations; quadratic forms; eigenvalues and eigenvectors; and applications in science and engineering. This course is cross-listed as MATH 2418. The student may register for either MATH 2318 or MATH 2418 but may receive credit for only one of the two. (3 Lec.)

Coordinating Board Academic Approval Number 2701016319

**Course Number: MATH 2320**

*(3 Credit Hours)**This course is not currently offered by Richland Campus.*

*Listed by Campus(es): BHC, ECC, MVC, NLC*

### Course Title: Differential Equations

This is a Texas Common Course Number.**Prerequisite Required:**MATH 2414.

Course Description: This course is a study of ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, boundary value problems, and applications. This course is cross-listed as MATH 2420. The student may register for either MATH 2320 or MATH 2420 but may receive credit for only one of the two. (3 Lec.)

Coordinating Board Academic Approval Number 2701016419

**Course Number: MATH 2412**

*(4 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Pre-Calculus Math

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**MATH 1316.

Course Description: This course consists of the study of algebraic and trigonometric topics including polynomial, rational, exponential, logarithmic and trigonometric functions and their graphs. Conic sections, polar coordinates, and other topics of analytic geometry will be included. (4 Lec.)

Coordinating Board Academic Approval Number 2701015819

**Course Number: MATH 2413**

*(4 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Calculus I

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**MATH 2412 or equivalent.

Course Description: This course is a study of limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas. (4 Lec.)

Coordinating Board Academic Approval Number 2701015919

**Course Number: MATH 2414**

*(4 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Calculus II

This is a Texas Common Course Number. This is a Dallas College Core Curriculum course.**Prerequisite Required:**MATH 2413 or equivalent.

Course Description: This course is a study of differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals. (4 Lec.)

Coordinating Board Academic Approval Number 2701016019

**Course Number: MATH 2415**

*(4 Credit Hours)**Listed by Campus(es): BHC, CVC, EFC, ECC, MVC, NLC, RLC*

### Course Title: Calculus III

This is a Texas Common Course Number.**Prerequisite Required:**MATH 2414 or equivalent.

Course Description: This course is a study of advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral including Green's Theorem, the Divergence Theorem, and Stokes' Theorem. (4 Lec.)

Coordinating Board Academic Approval Number 2701016119

**Course Number: MATH 2418**

*(4 Credit Hours)**Listed by Campus(es): BHC, EFC, RLC*

### Course Title: Linear Algebra

This is a Texas Common Course Number.**Prerequisite Required:**MATH 2414 or equivalent.

Course Description: Introduces and provides models for application of the concepts of vector algebra. Topics include finite dimensional vector spaces and their geometric significance; representing and solving systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion; matrices; determinants; linear transformations; quadratic forms; eigenvalues and eigenvectors; and applications in science and engineering. This course is cross-listed as MATH 2318. The student may register for either MATH 2318 or MATH 2418 but may receive credit for only one of the two. (4 Lec.)

Coordinating Board Academic Approval Number 2701016319

**Course Number: MATH 2420**

*(4 Credit Hours)**Listed by Campus(es): BHC, EFC, ECC, RLC*

### Course Title: Differential Equations

This is a Texas Common Course Number.**Prerequisite Required:**MATH 2414.

Course Description: This course is a study of ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, boundary value problems, and applications. This course is cross-listed as MATH 2320. The student may register for either MATH 2320 or MATH 2420 but may receive credit for only one of the two. (4 Lec.)

Coordinating Board Academic Approval Number 2701016419

**Course Number: TECM 1303**

*(3 Credit Hours)**This course is not currently offered by Richland Campus.*

*Listed by Campus(es): CVC, MVC*

### Course Title: Technical Calculations

This is a WECM Course Number.Course Description: Specific mathematical calculations required by business and industry. Includes whole numbers, fractions, mixed numbers, decimals, percents, ratios, and proportions. Also covers converting to different units of measure (standard and/or metric). This course is cross-listed as TECM 1403. The student may register for either TECM 1303 or TECM 1403 but may receive credit for only one of the two. (3 Lec.)

**Course Number: TECM 1317**

*(3 Credit Hours)**Listed by Campus(es): RLC*

### Course Title: Technical Trigonometry

This is a WECM Course Number.**Prerequisite Recommended:**TECM 1341.

Course Description: Triangular measurements and calculations used in industrial applications. Includes trigonometry ratios, solution of right triangles, oblique triangles, and vector analysis. (3 Lec.)

**Course Number: TECM 1341**

*(3 Credit Hours)**Listed by Campus(es): BHC, EFC, RLC*

### Course Title: Technical Algebra

This is a WECM Course Number.**Prerequisite Required:**One year of high school algebra and an appropriate assessment test score or DMAT 0305 or DMAT 0308 or DMAT 0309.

Course Description: Application of linear equations, simultaneous equations, and quadratic equations relevant to technical occupations. (3 Lec.)

**Course Number: TECM 1349**

*(3 Credit Hours)**Listed by Campus(es): ECC, RLC*

### Course Title: Technical Math Applications

This is a WECM Course Number.**Prerequisite Recommended:**TECM 1317.

Course Description: Trigonometry and geometry as used in a variety of technical settings. Includes the use of plane and solid geometry to solve areas and volumes encountered in industry. (3 Lec.)

**Course Number: TECM 1391**

*(3 Credit Hours)**This course is not currently offered by Richland Campus.*

*Listed by Campus(es): ECC*

### Course Title: Special Topics in Applied Mathematics, General

This is a WECM Course Number.Course Description: Topics address recently identified current events, skills, knowledge, and/or attitudes and behaviors pertinent to the technology or occupation and relevant to the professional development of the student. This course may be repeated if topics and learning outcomes vary. (3 Lec.)

**Course Number: TECM 1403**

*(4 Credit Hours)**Course not offered this year on any campus of Dallas College.*

### Course Title: Technical Calculations

This is a WECM Course Number.Course Description: Specific mathematical calculations required by business and industry. Includes whole numbers, fractions, mixed numbers, decimals, percents, ratios, and proportions. Also covers converting to different units of measure (standard and/or metric). This course is cross-listed as TECM 1303. The student may register for either TECM 1303 or TECM 1403 but may receive credit for only one of the two. (4 Lec.)

**ACGM (Lower-Division Academic Course Guide Manual) Courses**

Designated by the Texas Higher Education Coordinating Board for general academic transfer among community, state, and technical colleges in Texas; and state public four-year colleges and universities as freshman and sophomore general education courses.

**WECM (Workforce Education Course Manual) Courses**

Designated by the Texas Higher Education Coordinating Board as workforce education (technical) courses offered for credit and CEUs (Continuing Education Units). While these courses are designed to transfer among state community colleges, they are not designed to automatically transfer to public four-year colleges and universities.