2018-2019 Catalog

# MATH - Mathematics Courses

## MATH A Algebra 2

Special work in Intermediate Algebra for students who place into MATH A or successfully complete MATH C at HNU (with a C- or above). Students who need to repeat MATH A must do so the following semester.

## MATH C Algebra 1

Special work in arithmetic and beginning algebra for students who place into MATH C. Students who need to repeat MATH C must do so the following semester.

## MATH 1 Precalculus

Functional and modeling approach to the algebra and trigonometry essential for calculus. Polynomial, rational, trigonometric, exponential, logarithmic functions and their graphs; numerical trigonometry; trigonometric identities and equations.

### Prerequisites

Placement in GE level mathematics or successful completion of MATH A at HNU.

## MATH 7 Mathematical Reasoning

An introduction to mathematical and quantitative reasoning for the liberal arts student focusing on problem solving across disciplines, modeling, and logical analysis. Topics may include problem-solving strategies, logic, functions, graphs, modeling, geometry, measurement, probability and statistics, symbolic manipulation and uses of software.

### Prerequisites

Placement in GE level mathematics or successful completion of MATH A at HNU.

## MATH 11 Calculus I

Differential Calculus. Limits of functions, continuity, derivatives and antiderivatives of algebraic, exponential, logarithmic, and trigonometric functions, higher order derivatives rules of differentiation, simple differential equations, applications of derivatives, applications to science and economics.

### Prerequisites

Placement in Math 11 or successful completion of MATH 1.

## MATH 12 Calculus II

Analytical Geometry and Integral Calculus. Techniques and applications of integration, fundamental theorem of calculus, differentiation and integration of transcendental functions, improper integrals, special topics in analytic geometry including conics; infinite series, parametric equations, polar coordinates.

### Prerequisites

MATH 11 with a grade of C- or better.

## MATH 13 Calculus III

Multivariate Calculus. Vectors, vector-valued functions, partial differentiation, multiple integration and applications, line and surface integrals; the differential and directional derivatives.

### Prerequisites

MATH 12 with a grade of C- or better.

## MATH 40 Linear Algebra

Systems of equations, linear algebra and matrices, Euclidean vector spaces, general vector spaces, eigenvalues and eigenvectors, inner product spaces, diagonalization and quadratic forms, and applications of linear algebra.

### Prerequisites

MATH 1 with a grade of C- or better.

## MATH 60 Probability and Statistics

Design of experiments, descriptive statistics, correlation and regression, probability, chance variability, sampling, chance models, hypothesis testing, and tests of significance. Applications to business and biology.

### Prerequisites

MATH 1 with a grade of C- or better.

## MATH 64 Discrete Mathematics

Topics include: logic; sets, relations and functions; number systems and modular arithmetic; algorithms; graph theory; Boolean algebra and switching systems; symbolic logic and logic circuits.

### Prerequisites

MATH 1 with a grade of C- or better.

## MATH 123 College Geometry

Modern elementary geometry; transformations, including isometrics, similarities, inversions; non-Euclidean geometries; other topics from convex and projective geometries.

### Prerequisites

MATH 1 or MATH 7 with a grade of C- or better.

## MATH 152 History of Mathematics

The story of the development of mathematics and of the people who created it; topics primarily from the areas of number theory, geometry, algebra. Also appropriate for non-mathematics majors.

### Prerequisites

MATH 1 with a grade of C- or better.

## MATH 162L Biostatistics Laboratory

This course is a continuation of probability and statistics that would include methods to estimate risk, survival analysis and applications to real-world data sets. Representative topics include descriptive statistics, study designs and statistical tools for estimating parameters and testing hypotheses. Students should plan to enroll in epidemiology concomitantly with this course. This course will be offered beginning in the fall semester of 2020.