# Course Descriptions

## MATH-015

### Basic Mathematics

*Credit(s): 3*

MATH-015 is an introduction to operations and applications of whole numbers, fractions, ratios and proportions, decimals, percents, positive and negative numbers, and solving algebraic equations. The course provides important skill building in basic computational skills, the language of mathematics, and problem solving required for pre-college level math courses. Lecture: 3 hours per week

**Prerequisites:**COMPASS Pre-Algebra score >19.

## MATH-021

### Technical Mathematics for Auto/Diesel/ ORPV

*Credit(s): 3*

This class is designed as a basic math course for students in the technical programs of Automotive Technology, Diesel Technology, and Outdoor Power/Recreational Vehicle Technology. Appropriate applications for those specific technical programs will be stressed throughout. The course will review operations of fractions and decimeals, percents, ratios and proportion, calculator usage, signed numbers, evaluating formulas, equation solving, geometry, the metric system and measurement tools. Lecture: 3 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Pre-Algebra > 32 or a grade of C- or above in MATH-015. These scores are under review-refer to the online catalog for up-to-date information.

## MATH-022

### Technical Mathematics for Machining and Computer Aided Design Technologies

*Credit(s): 3*

This class is designed as a basic math course for students in the technical programs of Machining and CNC Technology and Computer Aided Design Technology. Appropriate applications for those specific technical programs will be stressed throughout. The course will review calculator usage and explore plane and angular geometry, congruent and similar figures, circles, applications or right triangle trigonometry, Law of Sines and Law of Cosines, vectores, and trigonometric functions. Lecture: 3 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Pre-Algebra > 32 or a grade of C- or above in MATH-015. These scores are under review-refer to the online catalog for up-to-date information.

## MATH-023

### Technical Mathematics for MM/HVAC/WELD

*Credit(s): 3*

This class is designed as a basic math course for students in the technical programs of Maintenance Mechanic, Millwright, Heating Ventilating and Air Conditioning, and Welding. Appropriate applications for those specific technical programs will be stressed throughout. The course will review operations with fractions, decimals, percents and signed numbers, ratios and proportions, the metric system, geometry and right triangle trigonometry. Lecture: 3 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Pre-Algebra > 32 or a grade of C- or above in MATH-015. These scores are under review-refer to the online catalog for up-to-date information.

## MATH-024

### Technical Mathematics

*Credit(s): 3*

MATH 024 is designed as a basic math course for students in technical programs. Each section of the course will be specific to one technical program and appropriate applications for that program will be stressed throughout. All sections will review operations of fractions and decimals, percents, ratios and proportions, calculator usage, signed numbers, evaluating formulas, equation solving, geometry, and the metric system. Trigonometry will be introduced when appropriate. Lecture: 3 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Pre-Algebra > 32 or a grade of C- or above in MATH-015. These scores are under review-refer to the online catalog for up-to-date information.

## MATH-025

### Elementary Algebra

*Credit(s): 3*

Math 025 is an introduction to mathematical concepts dealing with signed numbers, variables, polynomials, exponents, factoring, solving and graphing first-degree equations, and inequalities. The course also introduces solving factorable second-degree equations. It emphasizes the practical applications of these concepts. The course provides important skill-building for those who have not taken or have had difficulty with high school algebra. Note: MATH-025 carries no credit if taken after successful completion of a higher numbered math course. Lecture: 3 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Pre-Algebra > 44 or a grade of C- or above in MATH-015

## MATH-102

### Computational Skills for Alllied Health

*Credit(s): 3*

MATH 102 includes instruction in systems of measurement (including metric and apothecary); conversions; reductions; dimension analysis; interpreting drug orders and labels; calculating oral, pareenteral, and pediatric dosages; intravenous (IV) and advanced IV calculations; ratios and proportions; solving linear equations, formulas, and solution; and mixture problems. MATH 102 does not satisfy the core math requirement for the A.A. or A.S. degrees. Lecture: 3 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Algebra > 40, ACT Math > 18, SAT Math > 430, or a grade of C- or above in MATH-025, enrollment limited to Practical Nursing and Pharmacy Technician students.

## MATH-108

### Intermediate Algebra

*Credit(s): 4*

MATH 108 continues development of mathematical concepts beyond MATH 025 or first year high school algebra. It includes linear and quadratic equations, algebraic fractions, radicals, circles and parabolas, complex numbers, functions, and logarithms. There is an emphasis on the application of these skills. The course provides important skill building for entry into college-level math courses. Enrollment is based on placement test results. This course does not fulfill the math requirement for the A.A., A.S., or A.A.S degrees. Note: MATH 108 carries no credit if taken after successful completion of a higher numbered math course with the exception of MATH-123 or MATH-130 Lecture: 4 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Algebra > 40, ACT Math > 18, SAT Math > 430, or a grade of C- or above in MATH-025.

## MATH-123

### Contemporary Mathematics

*Credit(s): 3*

In MATH-123, mathematical methods and concepts are applied to modern day situations. Intended primarily for liberal arts majors, this course offers many useful techniques and insights for our increasingly technical world. It is assumed that students coming into the course have a working knowledge of algebra at an intermediate level. Topics may vary as textbooks change, but typically include a variety from the following: voting theory, apportionment, probability, statistics, consumer finance, paths and networks, scheduling, fair division, right-angle trigonometry, similarity and scaling, exponential and logistic growth, renewable resources, linear programming, and game theory. MATH-123 satisfies the math requirement for the A.A., A.S., and A.A.S. degrees. Lecture: 3 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Algebra > 45, ACT Math > 19, SAT Math > 460 or a grade of C- or above in MATH-108.

## MATH-130

### Finite Mathematics

*Credit(s): 4*

MATH 130 is the study of solutions and practical applications to systems of linear equations and inequalities, linear programming, sets, counting techniques, probability, and elementary concepts of statistics. This course provides useful skills to aid decision making in many diverse fields, but focuses primarily on business applications. It satisfies the mathematics requirement for the A.S., A.A., and A.A.S. degrees and is often required for transfer business degrees. Lecture: 4 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Algebra > 45, ACT Math > 19, SAT Math > 460 or a grade of C- or above in MATH-108

## MATH-143

### College Algebra

*Credit(s): 3*

MATH 143 begins by taking a deeper look at the definition of functions, their properties and notation in both an algebraic and graphical context. The course then focuses on the study of equations and graphs of polynomial, rational, exponential, and logarithmic functions. Additional topics include conic sections and sequences. This course prepares students for MATH 160. The combination of MATH 143 followed by MATH 144 may be used in place of MATH 147 as the prerequisite for MATH 170. MATH 143 satisfies the math requirement for the A.A., A.S., and A.A.S. degrees. Note: MATH 143 carries no credit if taken after successful completion of any higher numbered Math course with the exception of MATH 148. Lecture: 3 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Algebra > 61, ACT Math > 23, SAT Math > 540 or a grade of C- or above in MATH-108.

## MATH-143D

### College Algebra-Computer Aided Drafting Applications

*Credit(s): 1*

MATH 143D is a lab/recitation course for students in the Computer Aided Design Technology program. This course includes radian measure, applications of right triangle trigonometry, areas of triangles, Laws of Sines and Cosines, and vectors. Mathematical modeling with drafting emphasis is stressed. Lecture/Recitation: 1 hours per week

**Prerequisites:**MATH-108, MATH-143 (may also be a corequisite) or successful completion of two years of high school algebra and an appropriate score on the placement test.

**Corequisites:**MATH-143

## MATH-143E

### College Algebra-Electronics Applications

*Credit(s): 1*

MATH 143E is a lab/recitation course for students in the Electronic Technology program. This course includes radian measure, applications of right triangle trigonometry, graphs of trigonometric functions, complex numbers, polar coordinates, and vectors. Mathematical modeling with electronics emphasis is stressed. Lecture/Recitation: 1 hours per week

**Prerequisites:**Complete MATH-108 with a minimum grade of C-, an appropriate test score, or successful completion of two years of high school algebra.

**Corequisites:**MATH-143

## MATH-144

### Analytic Trigonometry

*Credit(s): 2*

MATH 144 includes angles, trigonometric functions, their graphs and the application thereof, right-triangle trigonometry, trigonometric identity verification, trigonometric formulas, inverse trigonometric fuctions, and the law of sines and cosines. It satisfies two credits towards the mathematics requirement for the A.A., A.S., and A.A.S. degrees. Note: MATH-144 carries no credit if taken after successful completion of any higher numbered Math course with the exception of MATH-148, MATH-157, MATH-160, and MATH-253. Lecture: 2 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS College Algebra > 51, ACT Math > 27, SAT Math > 620 or a grade of C- or above in MATH-143.

## MATH-147

### Pre-Calculus

*Credit(s): 5*

MATH 147 is designed for the well-prepared mathematics student who wishes to condense the one-year sequence of MATH 143 and MATH 144 into one semester. It is the study of polynomial and rational equations, functions and their inverses, graphs, systems of equations, complex numbers, exponential and logarithmic functions, trigonometric functions, identities and graphs, applications of triangles, and polar coordinates. This course prepares students for calculus courses which are required for degrees in mathematics, engineering, computer science, physics, chemistry, and others. It satisfies the mathematics requirement for the A.A., A.S., and A.A.S. degrees. Note: MATH 147 carries no credit if taken after successful completion of any higher numbered Math course with the exception of MATH-148. MATH 147 carries two credits if taken after MATH 143. Lecture: 5 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Algebra > 61, ACT Math > 23, SAT Math > 540 or a grade of C- or above in MATH-108.

## MATH-148

### Mathematics Technology

*Credit(s): 1*

This course explores the use of technological tools such as graphing calculators and mathematical software to solve problems in mathematics. Opportunities to perform basic operations including computation, graphing, and manipulation of statistical data are presented. Students are encouraged to compare different techniques and develop strategies to determine how to effectively utilize the available tools. This course counts as an elective towards the A.A. or A.S. degrees. Lecture: 1 hour per week

**Prerequisites:**Complete MATH-108 with a minimum grade of C-, or have an appropriate COMPASS, ACT, or SAT score.

## MATH-157

### Mathematics for Elementary Teachers I

*Credit(s): 3*

Math 157 is a lecture/lab course that is required for elementary teacher certification by the State of Idaho. It does not satisfy the math core requirement for the A.A. or A.S. degrees at NIC. This course provides prospective elementary school teachers with a problem-solving approach to the topics of the elementary school math curriculum. Focus is on teaching basic arithmetic operations on the set of real numbers while strengthening prospective teachers' mathematical skills and appreciation of mathematics. Lecture: 3 hours per week Lab: 1 hour per week

**Prerequisites:**Completion of MATH-143 or MATH-147 with a C- or better; or an appropriate score on the placement test, either COMPASS College Algebra >51, ACT Math >27, SAT Math >620.

## MATH-160

### Survey of Calculus

*Credit(s): 4*

MATH 160 is the introduction to calculus as used in business, social sciences, and life sciences. It focuses on functions, graphs, limits, the derivative, exponential and logarithm functions, and integration applications. The course develops an understanding of the fundamentals of differential and integral calculus and how to apply these principles and theories to the solution of real problems. MATH 160 satisfies the math requirement for the A.A., A.S., and A.A.S. degrees. Note: MATH 160 carries no credit if taken after successful completion of any higher numbered math course with the exception of MATH-187, MATH-253, and MATH-257. Lecture: 4 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS College Algebra > 51, ACT Math > 27, SAT Math > 620 or a grade of C- or above in MATH-143 or MATH-147.

## MATH-170

### Analytic Geometry and Calculus I

*Credit(s): 4*

MATH 170 is an introduction to calculus as the mathematics of change and motion. It emphasizes limits, the derivative, techniques of differentiation, and the integral. This course builds a foundation for all further study in mathematics and science that is typically required in mathematics, engineering, computer science, physics, chemistry, and other transfer degrees. Note: MATH-170 carries no credit if taken after successful completion of a higher numbered math course with the exception of MATH-187, MATH-253, and MATH-257. Lecture: 4 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS College Algebra > 51 and Trigonometry > 51, ACT Math > 29, SAT Math > 650 or a grade of C- or above in MATH-147 or MATH-144.

## MATH-175

### Analytic Geometry and Calculus II

*Credit(s): 4*

MATH 175 is a continuation of the calculus sequence emphasizing techniques of integration, applications of integration, polar coordinates, parametric equations, sequences, and series. It is required for most transfer degrees in mathematics and science. Note: MATH-175 carries no credit if taken after successful completion of a higher numbered math course with the exception of MATH-187, MATH-253, MATH-257, and MATH-335. Lecture: 4 hours per week

**Prerequisites:**Complete MATH-170 with a minimum grade of C-.

## MATH-187

### Discrete Mathematics

*Credit(s): 4*

MATH 187 is intended for computer science majors, mathematics majors, and for other students wishing to pursue in-depth study in computer science. Topics covered will include basic set theory, propositional and predicate logic, number systems, Boolean algebra, combinatories, and graph theory. Little or no programming will be done. Lecture: 4 hours per week Recommended: Knowledge of programming language such as C++ or Java

**Prerequisites:**Complete MATH-147 with a minimum grade of C-, or have an appropriate COMPASS, ACT, or SAT score.

## MATH-253

### Principles of Applied Statistics

*Credit(s): 3*

MATH 253 is an introduction to statistical methods covering both descriptive statistics and inferential statistics, which includes hypothesis testing, correlations and regression, chi-square, and analysis of variance. Probability is included as needed. This course is suitable for a broad range of majors. Lecture: 3 hours per week

**Prerequisites:**Entry is based on an appropriate score on the placement test, either COMPASS Algebra > 61, ACT Math > 23, SAT Math > 540 or a grade of C- or above in MATH-130, MATH-143, or MATH-147.

## MATH-257

### Mathematics for Elementary School Teachers II

*Credit(s): 3*

This course is a lecture/lab course that is a continuation of MATH 157 and is required for elementary teacher certification by the State of Idaho. It does NOT satisfy the math requirement for the A.A., A.S., or A.A.S. degree. This course has a topical emphasis on statistics, probability, geometry, and measurement. It demonstrates the usefulness of math in ordinary life, the aesthetic side of math, and the overall richness of the study of geometry. Lecture: 3 hours per week Lab: 1 hour per week

**Prerequisites:**Complete MATH-157 with a minimum grade of C-.

## MATH-275

### Analytic Geometry and Calculus III

*Credit(s): 4*

MATH 275 is a continuation of the calculus sequence. It includes the study of vectors and vector valued functions, and the ideas of the calculus of a single variable are extended to functions of several variables. Partial differentiation and multiple integration are used to examine Green's Theorem, Stokes' Theorem, and the Divergence Theorem from vector analysis. This course provides an understanding of the mathematics necessary for mathematics degrees and the study of multivariable physical phenomena in the physical science, chemistry, and engineering areas. Note: MATH-275 carries no credit if taken after successful completion of MATH-370. Lecture: 4 hours per week

**Prerequisites:**Complete MATH-175 with a minimum grade of C-.

## MATH-335

### Linear Algebra

*Credit(s): 3*

This course includes the study of linear systems, matrices, determinants, vector spaces, linear transformations, eigenvalues, and diagonalization of matrices with applications. Lecture: 3 hours per week

**Prerequisites:**Complete MATH-170 with a minimum grade of C-.

## MATH-370

### Introductions to Ordinary Differential Equations

*Credit(s): 3*

MATH 370 studies classification, initial value problems, exact equations, second order equations with constant coefficients, variation of parameters, Laplace transforms, series methods, and linear and non-linear systems of equations amid various applications. Lecture: 3 hours per week

**Prerequisites:**Complete MATH-275 with a minimum grade of C-.