# Course Descriptions

## MATH-015

### Basic Mathematics

*Credit(s): 3*

This course provides important skill building in basic computational skills, the language of mathematics, and problem solving required for pre-college level math courses. Students will be able to apply principles of whole number operations, fractions, decimals, percents, integers, ratio and proportion, and algebraic equations. Lecture: 3 hours per week

**Prerequisites:**COMPASS Pre-Algebra 20.

## MATH-025

### Elementary Algebra

*Credit(s): 3*

This course provides an introduction to basic algebraic concepts. Students will be able to apply principles of integers, variables, polynomials, exponents, factoring, and solving and graphing first-degree equations. MATH-025 provides important skill-building for those who have not taken or have had difficulty with high school algebra. Lecture: 3 hours per week

**Prerequisites:**MATH-015 or placement test COMPASS Pre-Algebra 45

## MATH-108

### Intermediate Algebra

*Credit(s): 4*

This course provides development of algebraic concepts beyond MATH-025 or first year high school algebra. Students will be able to apply principles of linear, quadratic, and rational equations, radicals, circles and parabolas, complex numbers, functions, exponents, and logarithms. MATH-108 develops skills necessary for success in algebra-based, college-level math courses. Note: MATH-108 carries no credit if taken after successful completion of higher numbered math courses with the exception of MATH-123 or MATH-130. Lecture: 4 hours per week

**Prerequisites:**MATH-025 or an appropriate score on a placement test: COMPASS Algebra 46, ACT Math 20, or SAT Math 470

## MATH-123

### Contemporary Mathematics

*Credit(s): 3*

This course models the use of mathematics in real world situations. Students will be able to apply mathematical modeling principles to a variety of practical situations including personal finance, risk assessment, inferences, path analysis, linear programming, similarity and scaling, right-triangle trigonometry, game theory, and/or exponential growth. Lecture: 3 hours per week

**Prerequisites:**MATH-025 or an appropriate score on a placement test: COMPASS Algebra 46, ACT Math 20, or SAT Math 470

## MATH-130

### Finite Mathematics

*Credit(s): 4*

This course provides practical insights into the important role of mathematics in the business world. Students will be able to apply principles of systems of linear equations and inequalities, linear programming, set theory, combinatorics, probability, and elementary concepts of statistics as they relate to decision making and problem solving. Lecture: 4 hours per week

**Prerequisites:**MATH-108 or an appropriate score on a placement test: COMPASS Algebra 50, ACT Math 21, or SAT Math 500

## MATH-143

### College Algebra

*Credit(s): 3*

This course covers the definition of functions and their properties and notation in both an algebraic and graphical contexts. Students will be able to apply principles of polynomial and rational equations, functions and their inverses, graphs, systems of equations, complex numbers, sequences, and exponential and logarithmic functions. MATH-143 along with MATH-144 prepares students for traditional calculus courses which are required for degrees in mathematics, engineering, computer science, physics, chemistry, and other STEM related fields. Note: The combination of MATH-143 and MATH-144 may be used in place of MATH-147 as the prerequisite for MATH-170. Lecture: 3 hours per week

**Prerequisites:**MATH-108 or an appropriate score on a placement test: COMPASS Algebra 62, ACT Math 24, or SAT Math 550

## MATH-143D

### College Algebra-Computer Aided Drafting Applications

*Credit(s): 1*

This course is a lab/recitation course for students in the Computer Aided Drafting 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 or an appropriate score on a placement test: COMPASS Algebra 62, ACT Math 24, or SAT Math 550 or successful completion of two years of high school algebra

**Corequisites:**MATH-143

## MATH-143E

### College Algebra-Electronics Applications

*Credit(s): 1*

This course 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:**MATH-108 or an appropriate score on a placement test: COMPASS Algebra 62, ACT Math 24, or SAT Math 550 or successful completion of two years of high school algebra

**Corequisites:**MATH-143

## MATH-144

### Analytic Trigonometry

*Credit(s): 2*

This course examines trigonometric concepts in terms of the Cartesian coordinate plane and the rectangular and polar coordinate systems. Students will be able to apply principles of angles, fundamental identities and identity verifications of trigonometry, and solving and graphing trigonometric functions. MATH-144 is intended for students following a science, technology, engineering, or mathematics pathway. MATH-143 and MATH-144 cover the content of MATH-147. Note: MATH-144 carries no credit if taken after successful completion of any higher numbered math course with the exception of MATH-157, MATH-160, MATH-253, or MATH-257. Lecture: 2 hours per week

**Prerequisites:**MATH-143 or an appropriate score on a placement test: COMPASS College Algebra 52, ACT Math 28, or SAT Math 630

## MATH-147

### Pre-Calculus

*Credit(s): 5*

This course 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. Students will be able to apply principles 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, sequences and series, and polar coordinates. MATH-147 prepares students for calculus courses which are required for degrees in mathematics, engineering, computer science, physics, chemistry, and other STEM related fields. Note: MATH-147 carries no credit if taken after successful completion of any higher numbered math course with the exception of MATH-157, MATH-253, or MATH-257. MATH-147 carries two credits if taken after MATH-143. Lecture: 5 hours per week

**Prerequisites:**MATH-108 or an appropriate score on a placement test: COMPASS Algebra 62, ACT Math 24, or SAT Math 550

## 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. Lecture: 1 hour per week

**Prerequisites:**MATH-108 or an appropriate score on a placement test: COMPASS Algebra 62, ACT Math 24, or SAT Math 550

## MATH-157

### Mathematics for Elementary School Teachers I

*Credit(s): 3*

This course provides prospective elementary school teachers with a problem-solving approach to the topics of the elementary school math curriculum. Students will be able to apply principles and concepts of basic arithmetic operations on the set of real numbers. MATH -157 is required for elementary teacher certification by the State of Idaho. Lecture: 3 hours per week Lab: 1 hour per week

**Prerequisites:**MATH-143 or MATH-147, or an appropriate score on a placement test: COMPASS College Algebra 52, ACT Math 28, or SAT Math 630

## MATH-160

### Survey of Calculus

*Credit(s): 4*

This course develops an understanding of the fundamentals of differential and integral calculus and the application of these principles and theories to the solution of real world problems. Students will be able to apply principles of functions, graphs, limits, derivatives, exponential and logarithm functions, and integration. MATH-160 is the introduction to calculus as used in business, social sciences, and life sciences. 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, or MATH-257. Lecture: 4 hours per week

**Prerequisites:**MATH-143 or MATH-147 or an appropriate score on a placement test: COMPASS College Algebra 52, ACT Math 28, or SAT Math 630

## MATH-170

### Analytic Geometry and Calculus I

*Credit(s): 4*

This course provides an introduction to calculus as the mathematics of change and motion. Students will be able to apply principles of limits, derivatives, and integrals. MATH-170 builds a foundation for all further study typically required in mathematics, engineering, computer science, physics, chemistry, and other STEM related fields. 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, or MATH-257. Lecture: 4 hours per week

**Prerequisites:**MATH-147, or MATH-143 and MATH-144, or an appropriate score on a placement test: COMPASS Trigonometry 52, ACT Math 30, or SAT Math 630

## MATH-175

### Analytic Geometry and Calculus II

*Credit(s): 4*

This course is a continuation of the calculus sequence. Students will be able to apply techniques of integration, applications of integration, polar coordinates, parametric equations, sequences, and series. MATH-175 is required for many mathematics, engineering, computer science, physics, chemistry, and other STEM related degrees. 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, or MATH-335. Lecture: 4 hours per week

**Prerequisites:**MATH-170

## MATH-187

### Discrete Mathematics

*Credit(s): 4*

This course provides an overview of mathematical topics applicable to the study of computer science. Students will be able to apply principles of basic set theory, propositional and predicate logic, number systems, Boolean algebra, combinatorics, and graph theory. MATH-187 is intended for computer science majors, mathematics majors, and for students wishing to pursue in-depth study of computer science. Lecture: 4 hours per week Recommended: Knowledge of programming language such as C++ or Java

**Prerequisites:**MATH-147 or MATH-144 or an appropriate score on a placement test: COMPASS Trigonometry 52, ACT Math 30, or SAT Math 660

## MATH-253

### Principles of Applied Statistics

*Credit(s): 3*

This course provides an introduction to statistical methods encompassing descriptive statistics and inferential statistics. Students will be able to apply principles of hypothesis testing for one and two samples, correlation and regression, chi-square, analysis of variance, and probability. Lecture: 3 hours per week

**Prerequisites:**MATH-130, MATH-143, or MATH-147 or an appropriate score on a placement test: COMPASS Algebra 62, ACT Math 24, or SAT Math 550

## MATH-257

### Mathematics for Elementary School Teachers II

*Credit(s): 3*

This course provides prospective elementary school teachers with a problem-solving approach to the topics of the elementary school math curriculum and is a continuation of MATH-157. Students will be able to apply principles of statistics, probability, geometry, and measurement. MATH-257 is required for elementary teacher certification by the State of Idaho. Lecture: 3 hours per week Lab: 1 hour per week

**Prerequisites:**MATH-157

## MATH-275

### Analytic Geometry and Calculus III

*Credit(s): 4*

This course is the conclusion of the calculus course series. Students will be able to apply principles of vectors, vector-valued functions, partial differentiation, multiple integration, Green's Theorem, Stoke's Theorem, and the Divergence Theorem. MATH-275 is intended for STEM majors. Note: MATH-275 carries no credit if taken after successful completion of MATH-370. Lecture: 4 hours per week

**Prerequisites:**MATH-175

## MATH-335

### Linear Algebra

*Credit(s): 3*

This course addresses vector spaces and linear mappings between such spaces. Students will be able to apply principles of linear systems, matrices, determinants, vector spaces, linear transformations, eigenvalues, and diagonalization of matrices. MATH-335 is intended for students seeking degrees in mathematics, computer science, or engineering. Lecture: 3 hours per week

**Prerequisites:**MATH-170

## MATH-370

### Introductions to Ordinary Differential Equations

*Credit(s): 3*

This course addresses first, second, and higher order differential equations. Students will be able to apply a variety of techniques to solve ordinary differential equations, and systems of linear and non-linear equations. MATH-370 is intended for students seeking degrees in mathematics, physics, or engineering. Lecture: 3 hours per week

**Prerequisites:**MATH-275