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Germanna Community College · Courses

MTH

18 courses with the subject MTH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.

MTH 111Basic Technical Mathematics3

Provides a foundation in mathematics with emphasis in arithmetic, unit conversion, basic algebra, geometry and trigonometry. This course is intended for CTE programs.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
MDE 10 Introduction to Algebra or direct placement
MTH 130Fundamentals of Reasoning3

Presents elementary concepts of algebra, linear graphing, financial literacy, descriptive statistics, and measurement & geometry. Based on college programs being supported by this course, colleges may opt to add additional topics such as logic or trigonometry. This course is intended for occupational/technical programs.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
MDE 10 :Introduction to Algebra or direct placement
MTH 131Technical Mathematics3

Presents algebra through unit conversion, trigonometry, vectors, geometry, and complex numbers. This course is intended for CTE programs.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
MDE 10 or direct placement.
MTH 154Quantitative Reasoning3

Presents topics in proportional reasoning, modeling, financial literacy and validity studies (logic and set theory). Major emphasis is on the process of taking a real-world situation, identifying the mathematical foundation needed to address the problem, solving the problem and applying what is learned to the original situation. This is a Passport Transfer Course.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Direct placement or
MTH 155Statistical Reasoning3

Presents elementary statistical methods and concepts including visual data presentation, descriptive statistics, probability, estimation, hypothesis testing, correlation, and linear regression. Emphasis is placed on the development of statistical thinking, simulation, and the use of statistical software.This is a Passport Transfer Course.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Direct placement or
MTH 161Precalculus I3

Presents topics in power, polynomial, rational, exponential, and logarithmic functions, and systems of equations and inequalities. This is a Passport Transfer Course.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Corequisite
Direct placement or
MTH 162Precalculus II3

Presents trigonometry, trigonometric applications, including Laws of Sines and Cosines, and an introduction to conics. This is a Passport Transfer Course.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Placement into MTH 162 or completion of MTH 161 with a grade of C or better.
MTH 167Precalculus with Trigonometry5

Presents topics in power, polynomial, rational, exponential, and logarithmic functions, systems of equations, trigonometry, trigonometric applications, including Law of Sines and Cosines, and an introduction to conics. This is a Passport Transfer Course.

Subject
MTH
Credits (min)
5
Credits (max)
5
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Direct Placement or MDE 60
MTH 245Statistics I3

Presents an overview of statistics, including descriptive statistics, elementary probability, probability distributions, estimation, hypothesis testing, correlation, and linear regression. This is a Passport Transfer Course.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Direct Placement into MTH 245 or completion of MTH 154 or MTH 161 or equivalent with a grade of C or better.
MTH 246Statistics II3

To serve as a second course in statistics that focuses on multivariate and nonparametric techniques useful to business, science, and social science majors.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Completion of MTH 245 or equivalent with a grade of C or better.
MTH 261Applied Calculus I3

Introduces limits, continuity, differentiation and integration of algebraic, exponential and logarithmic functions, and techniques of integration with an emphasis on applications in business, social sciences, and life sciences.This is a Passport Transfer Course.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Completion of MTH 161 or equivalent with a C or better.
MTH 263Calculus I4

Presents concepts of limits, derivatives, differentiation of various types of functions and use of differentiation rules, application of differentiation, antiderivatives, integrals and applications of integration. This is a Passport Transfer Course.

Subject
MTH
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Placement into MTH 263 or completion of MTH 167 or MTH 161 / MTH 162 or equivalent with a grade of C or better.
MTH 264Calculus II4

Continues the study of calculus of algebraic and transcendental functions including rectangular, polar, and parametric graphing, indefinite and definite integrals, methods of integration, and power series along with applications. Features instruction for mathematical, physical, and engineering science programs. This is a Passport Transfer Course.

Subject
MTH
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Completion of MTH 263 or equivalent with a C or better.
MTH 265Calculus III4

Focuses on extending the concepts of function, limit, continuity, derivative, integral and vector from the plane to the three dimensional space. Topics include vector functions, multivariate functions, partial derivatives, multiple integrals, and an introduction to vector calculus. Features instruction for mathematical, physical, and engineering science programs.

Subject
MTH
Credits (min)
4
Credits (max)
4
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Completion of MTH 264 or equivalent with a grade of C or better.
MTH 266Linear Algebra3

Covers matrices, vector spaces, determinants, solutions of systems of linear equations, basis and dimension, eigenvalues, and eigenvectors. Features instruction for mathematical, physical, and engineering science programs.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Completion of MTH 263 or equivalent with a grade of B or better or MTH 264 or equivalent with a grade of C or better.
MTH 267Differential Equations3

Introduces ordinary differential equations. Includes first order differential equations, second and higher order ordinary differential equations with applications, and numerical methods.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
MTH 264 or equivalent with a grade of C or better.
MTH 288Discrete Mathematics3

Presents topics in sets, counting, graphs, logic, proofs, functions, relations, mathematical induction, Boolean Algebra, and recurrence relations.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Completion of MTH 263 , Calculus I with a grade of C or better or equivalent.
MTH 299Supervised Study1

Capstone Presentation: Assigns a project for independent study incorporating previous instruction and supervised by the instructor.

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Credits
Type
course
Edition
2026-2027
Catalog
2026-2027 Catalog
Source
catalog.germanna.edu
Prerequisite
Department approval.

Source: Germanna Community College's catalog, linked per course · table learning_unit · CourseShelf publish 59