Academic Catalog

Math - Associate Studies (2030)

2030:130. Mathematics for Allied Health. (3 Credits)

Prerequisite: Placement test or completion of 2010:052, 2030:054, 2030:057, or 2030:084 with a grade of C or better. The real number system, systems of measurement, conversions, linear equations, factoring, quadratic equations, graphing, linear systems, organizing data, averages, standard deviation, the normal distribution.

2030:151. Technical Mathematics I. (2 Credits)

Prerequisite: Placement test or completion of 2010:052, 2030:054, 2030:057 or 2030:084 with a grade of C or better. Fundamental concepts and operations, functions, graphs, factoring and algebraic fractions, and quadratic equations.

2030:152. Technical Mathematics II. (2 Credits)

Prerequisite: 2030:151 with a grade of C- or better, or placement test. Variation, equations of lines, Cramer's rule, right triangle trigonometry, oblique triangles, radian measure, and complex numbers.

2030:153. Technical Mathematics III. (2 Credits)

Prerequisite: 2030:152 with a grade of C- or better, or placement test. Factoring, algebraic fractions, exponents and radicals, equations with radicals, equations in quadratic form, functions, their properties and graphs, exponential and logarithmic functions.

2030:154. Technical Mathematics IV. (3 Credits)

Prerequisite: 2030:153 or equivalent with a grade of C- or better, or placement test. Functions and their graphs, polynomial and rational functions, polynomial equations, graphs of trigonometric functions, trigonometric identities and equations, analytic geometry, complex numbers in polar form.

2030:161. Mathematics for Modern Technology. (4 Credits)

Prerequisite: Placement test or completion of 2010:052, 2030:054, 2030:057, or 2030:084 with a grade of C or better. Lines, linear regression, sets, counting, basic probability, basic statistics, binomial and normal distributions, mathematics of finance, symbolic logic, arguments, logic circuits.

2030:216. Applied Finite Mathematics. (3 Credits)

Prerequisite: 2030:153 with a grade of C- or better, or placement test. Number systems, integer rings, finite fields, number theory algorithms, prime numbers and primality tests, factoring, and random number.

2030:255. Technical Calculus I. (3 Credits)

Prerequisite: 2030:154 or equivalent with a grade of C- or better, or placement test. The derivative, applications of the derivative, derivatives of the trigonometric, logarithmic and exponential functions. Integration by antidifferentiation.

2030:260. Advanced Trigonometry. (2 Credits)

Prerequisite: 2030:153 or equivalent with a grade of C- or better, or placement test. Horizontal circular curves, vertical curves, and spherical triangles.

2030:290. Special Topics: Associate Studies Mathematics. (1-4 Credits)

(May be repeated with a change in topic) Prerequisite: Permission. Selected topics on subject areas of interest in associate studies.

2030:345. Technical Data Analysis. (2 Credits)

Prerequisite: 2030:154 or equivalent with a grade of C- or better, or placement test. Data summarization including graphic representation, numerical measures, introduction to probability, confidence intervals and hypothesis testing.

2030:356. Technical Calculus II. (3 Credits)

Prerequisite: 2030:255 or equivalent with a grade of C- or better, or placement test. Methods and applications of integration, first and second order differential equations and applications, series expansion, Laplace transform, partial derivatives, and double integrals.

2030:361. Applied Cryptography. (3 Credits)

Prerequisite: A grade of C- or better in either 2030:154 or 2030:216. Symmetric cryptography, modular arithmetic, stream and block ciphers, random numbers, Advanced Encryption Standard, public-key cryptography, key exchange, digital signatures, hash functions, message authentication.

2030:461. Applied Cryptanalysis. (3 Credits)

Prerequisite: 2030:361 with a grade of C- or better. Cryptanalysis concepts; cryptanalysis of symmetric and public key cryptosystems, key exchange systems, and digital signatures; hash function collision resistance; cryptanalysis with quantum computer.

2030:480. Advanced Topics in Technical Mathematics. (2 Credits)

Prerequisite: 2030:255 or equivalent with a grade of C- or better, or placement test. Matrices, introduction to series, partial derivatives, least squares adjustments, topics in astronomy, and coordinate systems.