NHC Math Course Descriptions

**0110 0306 0308 0310 1308 1309 1314 1316 1324 1325
1332 1342
1350 1351
2318
2320 2412 2413 2414 2415 **

**MATH 0110 - BASIC MATH SKILLS - TASP REVIEW**
**Credit: 1 **

Prerequisite: MATH 0310 3 hrs. lab.

**This is an individualized, laboratory course designed to review the 10
mathematical skills that are covered on the TASP exam. Included are topics covered in
pre-algebra (fundamental mathematics), basic algebra, and geometry. Instruction focuses on
individual needs. This course carries institutional credit but will not transfer and will
not be used to meet degree requirements, nor is it an alternative for the MATH 0306
Pre-algebra Mathematics, MATH 0308 Introductory Algebra or MATH 0310 Intermediate Algebra.
**

**MATH 0306, 0308 and 0310 are offered with several course format options.
Consult with advisor for proper placement.**

__Course Format Options__:

**S Standard three hours per week lecture format.**

**LL Extended 4 1/2 hours per week combination lecture/lab. The "LL"
format will provide an in-depth development of the course concepts and will incorporate
lab activities to develop student's problem-solving skills.**

**MATH 0306 - PRE-ALGEBRA MATHEMATICS
Credit: 3**

Prerequisite: None 3 hrs. lec.

**Topics for all formats include basic arithmetical operations on integers and
rational numbers, order of operations, introduction to basic geometric concepts,
simplification of algebraic expressions and techniques of solving simple linear equations.
This course carries institutional credit but will not transfer and will not meet degree
requirements. **

**MATH 0308 - INTRODUCTORY ALGEBRA
Credit: 3**

Prerequisite: MATH 0306 or placement by testing 3 hrs. lec.

**Topics for all formats include basic algebraic operations, elementary
equations, laws of integral exponents, factoring and radical notation, rational
expressions and an introduction to the Cartesian coordinate system. This course carries
institutional credit but will not transfer and will not be used to meet degree
requirements. **

**MATH 0310 - INTERMEDIATE ALGEBRA
Credit: 3**

Prerequisite: MATH 0308 or placement by testing 3 hrs. lec.

**Topics for all formats include special products and factoring, rational
expressions and equations, rational exponents, radicals, radical equations, quadratic
equations and complex numbers; an introduction to the function concept and graphing,
equations of lines and linear systems. This course carries institutional credit but will
not transfer and will not be used to meet degree requirements. **

**MATH 1308 - TECHNICAL MATHEMATICS Credit:
3**

Prerequisite: MATH 0308 or placement by testing 3 hrs. lec.

**A course designed to develop student proficiency in application of more
advanced algebraic operations to include quadratic equations, systems of equations,
Cramer's Rule, geometry, logarithms, exponential equations, complex numbers and right
triangle trigonometry. Designed primarily for technology students.**

**MATH 1309 - TECHNICAL TRIGONOMETRY
Credit: 3**

Prerequisite: MATH 1308 or placement by testing 3 hrs. lec.

**Topics include basic trigonometric functions, sine and cosine laws, simple
trigonometric equations, vectors, complex numbers and applications in technical areas.
Designed primarily for technology students.**

**MATH 1314 - COLLEGE ALGEBRA Credit: 3 **

Prerequisite: MATH 0310 or placement by testing 3 hrs. lec.

**Topics include absolute value equations and inequalities, graphing skills,
inverse functions, logarithmic and exponential functions, polynomial and rational
functions, piecewise-defined functions, theory of equations and matrices. **

**MATH 1316 - TRIGONOMETRY Credit: 3 **

Prerequisite: MATH 1314 3 hrs. lec.

**Trigonometric functions and their applications, solutions of right and oblique
triangles, trigonometric identities and equations, inverse trigonometric functions and
graphs of the trigonometric functions. **

**MATH 1324 - FINITE MATHEMATICS Credit:
3**

Prerequisite: MATH 0310; MATH 1314 strongly recommended 3 hrs. lec.

**Matrices, systems of equations, linear programming, the simplex method,
probability, and mathematics of finance. Primarily for business majors and liberal arts
students. **

**MATH 1325 - ELEMENTS OF CALCULUS WITH
APPLICATIONS Credit: 3 **

Prerequisite: MATH 1314 or departmental approval 3 hrs. lec.

**A one-semester calculus course for non-science majors. Topics include limits,
continuity, rates of change, differentiation and integration techniques and applications,
calculus of the logarithmic and exponential functions and partial derivatives. **

**MATH 1332 COLLEGE MATHEMATICS FOR
LIBERAL ARTS Credit: 3 **

Prerequisite: MATH 0310 or placement by testing 3 hrs. lec.

**College Mathematics for Liberal Arts is a course designed for liberal arts and
other non-mathematics, non-science, and non-business majors, emphasizing an appreciation
of the art, history, beauty, and applications of mathematics. Topics may include, but are
not limited to, sets, logic, number theory, measurement, geometric concepts, and an
introduction to probability and statistics. A student may not earn credits for both Math
1332 and Math 1335. **

**MATH 1342 - STATISTICS Credit: 3**

Prerequisite: MATH 1314 3 hrs. lec.

**An introduction to the concepts and methods of statistics. Topics include
probability, random variables, binomial and normal distributions, random sampling,
statistical inference, estimation, testing hypotheses, linear regressions and correlation,
chi-square test, and analysis of variance. **

**MATH 1350 - FOUNDATIONS OF MATHEMATICS I
Credit: 3 **

Prerequisite: MATH 1314 or placement by testing 3 hrs. lec.

**This course is designed to meet the mathematics requirements for elementary
education majors. Topics include set theory, functions and relations, logic, numeration
systems and a study of the whole numbers, integers and rational number systems. **

**MATH 1351 - FOUNDATIONS OF
MATHEMATICS II
Credit: 3 **

Prerequisite: MATH 1350 or 1314 or placement by testing 3 hrs. lec.

**A continuation of MATH 1350. Topics include a study of the real number system,
an introduction to probability and statistics, a review of the techniques of algebra,
geometry and the metric system. **

**MATH 2318 - LINEAR
ALGEBRA Credit: 3**

Prerequisite: MATH 2414 3 hrs. lec.

**Matrices and linear systems, determinants, vector spaces, linear
independence, basis and dimension, change of basis, linear transformations,
similarity, inner product spaces, eigenvalues, and eigenvectors, and
diagonalization. Applications of these concepts will also be considered.**

**MATH 2320 - DIFFERENTIAL EQUATIONS
Credit: 3**

Prerequisite: MATH 2414. 3 hrs. lec.

**Linear equations, solutions in series, solutions using Laplace transforms,
systems of differential equations and applications to problems in engineering and allied
fields. **

**MATH 2412 - PRECALCULUS Credit: 4**

Prerequisite: MATH 1314 and 1316 or departmental approval. 4 1/2 hrs. lec.

**An integrated treatment of the concepts necessary for calculus, emphasizing
elementary functions and their graphs, including polynomial, rational, exponential,
logarithmic and trigonometric functions, also includes topics from analytic geometry.
**

**MATH 2413 - CALCULUS I Credit: 4**

Prerequisite: MATH 2412 or departmental approval . 4 1/2 hrs. lec.

**Functions, limits, continuity, differentiation and integration of algebraic and
trigonometric functions, applications of differentiation and an introduction to
applications of the definite integral. **

**MATH 2414 - CALCULUS II Credit: 4**

Prerequisite: MATH 2413. 4 1/2 hrs. lec.

**Differentiation and integration of exponential and logarithmic functions,
techniques of integration, applications of the definite integral, the calculus of
transcendental functions, parametric equations, polar coordinates, indeterminate forms,
improper integrals, L'hospital's Rule, sequences and series. **

**MATH 2415 - CALCULUS III Credit: 4 **

Prerequisite: MATH 2414. 4 1/2 hrs. lec.

**The algebra and geometry of vectors; topics from the calculus of multivariable
functions including limits, continuity, partial derivatives, directional derivatives, the
gradient, extreme values, multiple integration and vector calculus.**