# Technical Mathematics

The Department's Technical Mathematics Area offers general education mathematics courses that are part of the Ohio Transfer Module, as well as many required advanced-level mathematics courses that are required for various associate and bachelor degrees.

Technical Mathematics Certificate

This certificate, requiring a minimum of 11 credit hours, is designed to develop technical mathematics knowledge and the ability to apply this knowledge in an industrial setting. At least 6 of the 11 credit hours must be taken through the College of Applied Science and Technology with a grade point average of 2.5. The granting of this certificate does not require the completion of a degree.

# Courses

2030:130 Mathematics for Allied Health (3 credits)
Prerequisite: Placement Test.

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 Math I (2 credits)
Prerequisite: Placement Test.

Fundamental concepts and operations, functions, graphs, factoring and algebraic fractions, variation, and quadratic equations.

2030:152 Technical Math II (2 credits)
Prerequisite: 151 with a grade of C- or better or placement test.

Variation, equations of lines, Cramer's rule, right triangle trigonometry, oblique triangles, complex numbers.

2030:153 Technical Math III (2 credits)
Prerequisite 2030:152 or equivalent 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, radian measure.

2030:154 Technical Math IV (3 credits)
Prerequisite: 153 or equivalent with a grade of C- or better of 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, 054, 057 or 084 with a grade of C or better.

Lines, linear regression, sets, counting, basic probability, basic statistics, binomial and normal distrubutions, mathematics of finance, symbolic logic, arguments, logic circuits.

Numeration systems. Analytical geometry of the straight line, linear system. Matrices and matrix methods, determinants. Sets and logic. Probability and statistics. Math of finance.

2030:216 Applied Finite Mathematics (3 credits)
Prerequisite: 2030:153 or equivalent 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 numbers.

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.

Prerequisite 2030:153 or equivalent with a grade of C- or better or placement test

Horizontal circular curves, vertical curves, and spherical triangles.

2040:290 ST: Assoc Studies Math (1-4 credits)
Prerequisite: permission

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

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 computers.

2030:480 ADV T: 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.

Department of Applied General and Technical Studies

Phone: 330-972-7702
Fax: 330-972-7785

Polsky Building 131
225 South Main Street
Akron, OH 44325-6105

Dr. Michael Johanyak
Acting Department Chair
Professor of Technical Writing and Composition
Phone: 330-972-6022

Amy White