# Mathematics and Statistics

## Essential Skills:

- Communication
- Quantitative Reasoning
- Critical Thinking

## 3 credit hours:

One course from the list below at the appropriate level, determined by placement.

I prove a theorem and the house expands:

The windows jerk free to hover near the ceiling,

The ceiling floats away with a sigh.

- Explore how math and data provide information about the world.
- Explain and present information in mathematical forms.
- Design problems, consider limitations, and calculate results.
- Identify mathematical approaches to address questions.

## Courses

# Mathematics in the World

## Description

This course is an opportunity for Honors students at UNM to gain an interdisciplinary and rigorous introduction to mathematical reasoning by learning from and how mathematicians do and have done mathematics and how that relates to the rest of human activity and thought. Students will do mathematics in this course, and also are expected to produce work that reflects an understanding of the context in which that mathematical work takes place. Themed sections connect foundational ideas of mathematics, such as logic, systems of numbers, sequences and series, geometry, and probability to other aspects of human thought. Each will focus on particular content areas by specifying both the nature of problem solving and additional context-relevant work that students will produce. Restriction: admitted to Honors College. Prerequisites for course: Complete all of the following Earned a minimum grade of C in at least 1 of the following: HNRS1120 - Honors Legacy Seminar (3) UHON121 - Honors Legacy Seminar (3) UHON122 - Honors Legacy Seminar (3)

# Survey of Mathematics

## Description

An introduction to some of the great ideas of mathematics, including logic, systems of numbers, sequences and series, geometry and probability. Emphasizes general problem-solving skills. Prerequisites for course: Complete 1 of the following Earned a minimum grade of C in at least 1 of the following: MATH1215 - Intermediate Algebra (3) MATH1220 - College Algebra (3) MATH1230 - Trigonometry (3) MATH1240 - Pre-Calculus (3) MATH1350 - Introduction to Statistics (3) MATH1440 - Applications of Calculus II (3) MATH1512 - Calculus I (4) MATH1522 - Calculus II (4) MATH2531 - Calculus III (4) MATH1430 - Applications of Calculus I (3) Earn test score of: ACT Math =>22 or SAT Math Section =>540 or ACCUPLACER Next-Generation Advanced Algebra and Functions =>218 or ACCUPLACER Next-Generation Quantitative Reasoning, Algebra, and Statistics =>253 LCP Math => 30 Complete all of the following Earned a minimum grade of C in each of the following: MATH1215X - Intermediate Algebra IA (1) Completed with a minimum grade of C or concurrently enrolled in all of the following: MATH1215Y - Intermediate Algebra IB (1)

# College Algebra

## Description

Preparation for MATH 1240 and 1430. The study of equations, functions and graphs, especially linear and quadratic functions. Introduction to polynomial, rational, exponential and logarithmic functions. Applications involving simple geometric objects. Emphasizes algebraic problem solving skills. Prerequisites for course: Complete 1 of the following Earned a minimum grade of C in each of the following: MATH1215 - Intermediate Algebra (3) Earned a minimum grade of C in each of the following: MATH1215X - Intermediate Algebra IA (1) MATH1215Y - Intermediate Algebra IB (1) MATH1215Z - Intermediate Algebra IC (1) Earn test score of: ACT Math =>22 or SAT Math Section =>540 or ACCUPLACER Next-Generation Advanced Algebra and Functions =239-248 or Lobo Course Placement Math =>30.

# Pre-Calculus

## Description

In-depth study of polynomial, rational, exponential and logarithmic functions and their graphs. Includes the fundamental theorem of algebra, systems of equations, conic sections, parametric equations and applications in geometry. Exploration of the graphing calculator. Prerequisites for course: Complete 1 of the following Earned a minimum grade of C in at least 1 of the following: MATH1220 - College Algebra (3) MATH121 - College Algebra (3) Earn test score of: ACT Math =>25 or SAT Math Section =>590 or ACCUPLACER Next-Generation Advanced Algebra and Functions =249-283 or Lobo Course Placement Math =>50.

# Trigonometry & Pre-Calculus

## Description

Algebraic expressions, algebraic equations, inequalities, functions, graphing. Exponential, logarithmic, and trigonometric functions. Complex numbers and vectors. Limits. Prerequisites for course: Complete 1 of the following Earned a minimum grade of C in at least 1 of the following: MATH1220 - College Algebra (3) MATH121 - College Algebra (3) Earn test score of: ACT Math =>25 or SAT Math Section =>590 or ACCUPLACER Next-Generation Advanced Algebra and Functions =249-283 or Lobo Course Placement Math =>50.

# Statistical Literacy

## Description

Participants will study the social statistics encountered by consumers. Investigate the story behind the statistics. Study the influences on social statistics. Study the techniques used to control these influences. Strong focus on confounding. Prerequisites for course: Complete 1 of the following Earned a minimum grade of C in at least 1 of the following: MATH1215 - Intermediate Algebra (3) MATH1220 - College Algebra (3) MATH1230 - Trigonometry (3) MATH1240 - Pre-Calculus (3) MATH1350 - Introduction to Statistics (3) MATH1440 - Applications of Calculus II (3) MATH1512 - Calculus I (4) MATH1522 - Calculus II (4) MATH2531 - Calculus III (4) MATH1430 - Applications of Calculus I (3) Earn test score of: ACT Math =>22 or SAT Math Section =>540 or ACCUPLACER Next-Generation Advanced Algebra and Functions =>218 or ACCUPLACER Next-Generation Quantitative Reasoning, Algebra, and Statistics =>253 LCP Math => 30 Complete all of the following Earned a minimum grade of C in each of the following: MATH1215X - Intermediate Algebra IA (1) Completed with a minimum grade of C or concurrently enrolled in all of the following: MATH1215Y - Intermediate Algebra IB (1)

# Introduction to Statistics

## Description

Techniques for the visual presentation of numerical data, descriptive statistics, introduction to probability and basic probability models used in statistics, introduction to sampling and statistical inference, illustrated by examples from a variety of fields. Prerequisites for course: Complete 1 of the following Earned a minimum grade of C in at least 1 of the following: MATH1215 - Intermediate Algebra (3) MATH1220 - College Algebra (3) MATH1230 - Trigonometry (3) MATH1240 - Pre-Calculus (3) MATH1350 - Introduction to Statistics (3) MATH1440 - Applications of Calculus II (3) MATH1512 - Calculus I (4) MATH1522 - Calculus II (4) MATH2531 - Calculus III (4) MATH1430 - Applications of Calculus I (3) Earn test score of: ACT Math =>22 or SAT Math Section =>540 or ACCUPLACER Next-Generation Advanced Algebra and Functions =>218 or ACCUPLACER Next-Generation Quantitative Reasoning, Algebra, and Statistics =>253 LCP Math => 30 Complete all of the following Earned a minimum grade of C in each of the following: MATH1215X - Intermediate Algebra IA (1) Completed with a minimum grade of C or concurrently enrolled in all of the following: MATH1215Y - Intermediate Algebra IB (1)

# Applications of Calculus I

## Description

An algebraic and graphical study of derivatives and integrals, with an emphasis on applications to business, social science, economics and the sciences. Prerequisites for course: Complete 1 of the following Earned a minimum grade of C in at least 1 of the following: MATH1220 - College Algebra (3) MATH1240 - Pre-Calculus (3) MATH1250 - Trigonometry and Pre-Calculus (5) Earn test score of: ACT Math =>26 or SAT Math Section =>620 or ACCUPLACER Next-Generation Advanced Algebra and Functions =249-283 or Lobo Course Placement Math =>40.

# Applications of Calculus II

## Description

Includes the definite integral, multivariate calculus, simple differential equations, basic review of trigonometry and its relation to calculus. Prerequisites for course: Earned a minimum grade of C in at least 1 of the following: MATH1430 - Applications of Calculus I (3) MATH180 - Elements of Calculus I (3)

# Calculus 1

## Description

In one semester you will learn concepts and applications that took the human race thousands of years to figure out! When are you ever going to use math? Come see how calculus can be applied to solve problems in fields like engineering, biology, chemistry, physics, economics, and population dynamics. This is a first semester course in differential and integral calculus and their applications. Prerequisites for course: Complete 1 of the following Earned a minimum grade of C in each of the following: MATH1230 - Trigonometry (3) MATH1240 - Pre-Calculus (3) Earned a minimum grade of C in each of the following: MATH1250 - Trigonometry and Pre-Calculus (5)

# Calculus 2

## Description

In this course we build on techniques learned in Calculus I to be able to solve a wider range of problems. For example, we will use differential equations and new techniques of integration to study a more realistic population model than was possible in Calculus I, and infinite series to approximate integrals we cannot solve using the fundamental theorem of calculus. Prerequisites for course: Earned a minimum grade of C in at least 1 of the following: MATH1512 - Calculus I (4) MATH162 - Calculus I (4)

# Mathematics for Elementary and Middle School Teachers III

## Description

Algebra from the viewpoint of the elementary curriculum with emphasis on proportional and linear relationships. Also included: data analysis and other topics with connections to the elementary curriculum. Problem solving is emphasized throughout. Prerequisites for course: Complete all of the following Earned a minimum grade of C in each of the following: MATH1118 - Mathematics for Elementary and Middle School Teachers I (3) Complete 1 of the following Earned a minimum grade of C in at least 1 of the following: MATH1215X - Intermediate Algebra IA (1) MATH1220 - College Algebra (3) MATH1230 - Trigonometry (3) MATH1240 - Pre-Calculus (3) MATH1350 - Introduction to Statistics (3) MATH1430 - Applications of Calculus I (3) MATH1512 - Calculus I (4) Earn test score of: ACT Math =>19 or SAT Math Section =>480 or ACCUPLACER Next-Generation Quantitative Reasoning, Algebra, and Statistics =>262).

Course Number | Name | Description |
---|---|---|

HNRS 2221 | Mathematics in the World | |

MATH 1130 | Survey of Mathematics | |

MATH 1220 | College Algebra | |

MATH 1240 | Pre-Calculus | |

MATH 1250 | Trigonometry & Pre-Calculus | |

MATH 1300 | Statistical Literacy | |

MATH 1350 | Introduction to Statistics | |

MATH 1430 | Applications of Calculus I | |

MATH 1440 | Applications of Calculus II | |

MATH 1512 | Calculus 1 | |

MATH 1522 | Calculus 2 | |

MATH 2118 | Mathematics for Elementary and Middle School Teachers III |

*These courses are only offered through the UNM Branch Campuses.