## MATH 1030-Quanititative Reasoning

Fulfills General Education Mathematics requirement for students in Fine Arts, Liberal Arts, Elementary Education, and other degrees.

** Prerequisites ** MATH 1010 (Grade C or higher), or ACT math score of 20 or higher, or an equivalent placement score within two years of enrollment in this course.

** Course Description ** Focuses on development of analytical problem solving skills through the application of various mathematical concepts to real-life problems. Topics include logic; financial math; problem solving; numeration systems; geometry; measurements; probability; statistics; and modeling with algebra. A class presentation is required for this course. Students are cautioned to check degree and/or transfer requirements before taking this course. Inclusive Access Course Material (electronic book) fees may apply, see Fees tab under each course section for details. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Use algebra to graphically represent and analyze linear, quadratic, exponential, and logarithmic models. 2. Assess methods of geometry used in artistic representations of the world. 3. Identify aspects of logic used to solve complex problems and use logic to make sound decisions in personal and business life. 4. Use trigonometry to solve triangles and related applications. 5. Use principles of finance to calculate simple and compound interest, values of annuities, and amortization schedules. 6. Apply the concepts of probability to calculate outcomes and the corresponding odds in the games that people play. 7. Use statistical techniques to organize, display, and analyze data, especially as it applies to situations in the real world. Course fee required.

## MATH 1040-Introduction to Statistics

Fulfills General Education Mathematics requirement for students majoring in Communications, Social & Behavioral Sciences, Fine Arts, Liberal Arts, or Exercise Science.

** Prerequisites ** ACT math score of 22 or higher, or an equivalent placement score within two years of enrollment in this course.

** Course Description ** Introduction to basic concepts and methods used in statistical data analysis, includes descriptive statistics, sampling, and inferential methods while emphasizing problem solving and critical thinking. Data comparisons such as t-tests and ANOVA will also be covered. StatCrunch is used to perform statistical calculations, organize and analyze data, and construct graphs. Required for Utah Level 2 Math Endorsement. Students are cautioned to check degree and/or transfer requirements before taking this course. Inclusive Access Course Material (electronic book) fees may apply, see Fees tab under each course section for details. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Distinguish among various types of variables and basic statistical terms. 2. Organize and summarize qualitative and quantitative date using different display methods. 3. Interpret and apply Least-Square linear regression. 4. Implement basic probability rules, counting techniques and various probability distributions. 5. Construct and interpret confidence intervals for various population parameters using sampling distribution and various sample statistics. 6. Perform and analyze goodness- of-fit test and ANOVA test and demonstrate proficiency with test hypotheses about various population parameters with one or two samples. Course fee required.

## MATH 1050-College Algebra/Pre-Calculus

Fulfills General Education Mathematics requirement for students majoring in Business, Elementary Education, Health Sciences, Science, and other majors.

** Prerequisites ** MATH 1010 (Grade C or higher) OR ACT math score of 23 or higher, or equivalent placement score within two years of enrollment in this course.

** Course Description ** Reviews fundamental algebra; explores polynomial and rational functions; introduces exponential and logarithmic functions and applications; conics; systems of linear equations and applications; arithmetic and geometric sequences and series, binomial coefficients and the Binomial Theorem; basic principle of counting. Inclusive Access Course Material (electronic book) fees may apply, see Fees tab under each course section for details. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Graph, analyze, find intercepts, maxima, and minima of polynomial, rational, exponential, and logarithmic functions. 2. Solve non-linear and linear systems equations and inequalities using substitution, elimination, Cramer’s rule, and linear programing. 3. Find terms and sums of arithmetic and geometric sequences and series, compute the terms of a binomial expression, solve counting problems. Course fee required.

## MATH 1060-Trigonometry

Fulfills General Education Mathematics requirement.

** Prerequisites ** MATH 1050 (Grade C or higher) ACT math score of 25 or higher, or equivalent placement score within two years of enrollment in this course.

** Course Description ** Continuation of MATH 1050, utilizes unit circle and right triangle definitions, graphs of trigonometric functions, solving trigonometric equations, and verifying trigonometric identities. Involves polar and parametric functions, vectors, and conic sections. Required for Utah Level 2 and Level 3 Math Endorsements. Inclusive Access Course Material (electronic book) fees may apply, see Fees tab under each course section for details. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Manipulate and evaluate trigonometric functions. 2. Use proofs to work with trigonometric functions to prove trigonometric identities. 3. Demonstrate the ability to use trigonometric identities to solve real world applications. 4. Use vectors geometrically and algebraically to solve problems. Course fee required.

## MATH 1080-Pre-Calculus

Fulfills General Education Mathematics requirement.

** Prerequisites ** MATH 1010, or ACT math score of 25 or higher, or equivalent placement score within two years of enrollment in this course.

** Course Description ** Provides in-depth review of college algebra and trigonometry before entering trig-based calculus by reviewing concepts taught in MATH 1050 and MATH 1060. Successful completion fulfills prerequisite for MATH 1210, and Mathematics prerequisite for PHYS 2010. Inclusive Access Course Material (electronic book) fees may apply, see Fees tab under each course section for details. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Analyze the key components of the graphs of polynomial and rational functions. 2. Solve real-world applications by applying trigonometric functions. 3. Derive new trigonometric identities through proper application of established identities. 4. Apply the algebraic and geometric techniques of vectors to solve problems. Course fee required.

## MATH 1100-Business Calculus

Fulfills General Education Mathematics requirement. Required of majors in the Udvar-Hazy School of Business, as well as students majoring in Computer & Information Technology.

** Prerequisites ** MATH 1050 (Grade C or higher), ACT math score of 25 or higher, or equivalent placement score within two years of enrollment in this course

** Course Description ** Emphasizes functions, modeling, differentiation, applications of differentiation, exponential and logarithmic functions, integration, applications of integration, and functions of several variables. Inclusive Access Course Material (electronic book) fees may apply, see Fees tab under each course section for details. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Discuss and analyze the concepts of limits and the interrelationships of the graphic, numeric, and symbolic approaches to limits. 2. Discuss and analyze functions by computing and interpreting their first and second derivatives. 3. Apply basic calculus techniques to data and functions that serve to model real-life applications in career areas such as business, economics, social science, and architecture. 4. Apply the definite integral as the limit of a sum to applications in business, economics, sociology, ecology, and other areas. Course fee required.

## MATH 1210-Calculus

Fulfills General Education Mathematics requirement.

** Prerequisites ** MATH 1050 AND MATH 1060 (Grade C or higher); OR MATH 1080 (Grade C or higher); OR ACT math score of 26 or higher or equivalent placement score within two years of enrollment of this course.

** Course Description ** Students will gain a basic understanding of calculus, including limits and derivatives, differentiation rules, applications of differentiation and integrals. Students must have a working knowledge of college algebra and trigonometry. Required for Utah Level 2, 3, and 4 Math Endorsements, and for students majoring in Computer Science, Computer and Information Technology–Software Development Emphasis, Biology, Physical Science Composite Teaching and Pre-engineering. Successful completion fulfills prerequisite for MATH 1220, and Mathematics prerequisite for ENGR 2010 and PHYS 2210. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Evaluate limits algebraically, numerically, graphically, and through L’Hospital’s Rule. 2. Apply the definition of a derivative and derivative rules to differentiate functions, and then apply the derivative in solving real world problems. 3. Perform integration by various techniques. 4. Compute the area under a curve through approximation techniques, and through proper use of the definite integral. Course fee required.

## MATH 1220-Calculus II

Fulfills General Education Mathematics requirement.

** Prerequisites ** MATH 1210 (Grade C or higher)

** Course Description ** Continuation of MATH 1210, covering applications of integration, differential equations, infinite sequences and series. Required for Utah Level 3 and 4 Math Endorsements, and for students majoring in Mathematics, Chemistry, Computer Science and Physical Science Composite Teaching. Successful completion fulfills prerequisite for MATH 2210, and Mathematics prerequisite for ENGR 2250, ENGR 2300, and PHYS 2220. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Develop a basic understanding of advanced integration techniques, including approximate integration. 2. Use integrals to formulate and solve application problems in science, engineering, biology, and economics. 3. Using the techniques of differential equations to predict population growth and decay. 4. Demonstrate knowledge of sequences and series including tests for convergence and methods of approximation of sums. 5. Explore methods of determining convergence and evaluation limits of sequences and series. Course fee required.