- Demonstrate depth and breadth of understanding of mathematics in core and elective areas by solving problems in these areas.
- Use statistical or mathematical techniques to construct and analyze models arising from real world problems.
- Communicate mathematics effectively, both orally and in writing.
- Demonstrate competence with abstract reasoning, critical thinking, and constructing proofs and counterexamples.
- Use technology to support problem solving and to promote understanding.

Mathematics degrees allow for a wide variety of employment options. The following careers are very mathematics centered, though in many cases additional training beyond a mathematics degree (or at least beyond a B.S. Mathematics degree) is needed to qualify for employment in these fields: actuarial work, education, research analysis, cryptology, systems analysis, robotics engineering, design modeling (creating cost efficient models), geomatics engineering, photogrammatism, stock trading, biomathematics, accounting or auditing, population ecology, aspects of forensic analysis and some types of computer programming design. There are also jobs for mathematics graduates in the federal government, mainly in the department of defense. The degree required depends on the type of job in the areas mentioned, and the salary level.

Following are the key knowledge, skill and ability goals of the B.S. Mathematics program:

- Knowledge of calculus, real and complex analysis, differential equations, linear and abstract algebra, basic probability, and a broad knowledge base of other elective topics including topology, geometry, number theory, numerical analysis and statistics.
- An awareness of how to apply and model real situations with mathematics, and the ability to formulate and understand logical arguments.
- The ability to communicate mathematics effectively, both verbally and in writing, expressing clear logical proofs of mathematical hypotheses and constructing well defined counterexamples to false statements.

- Prepares students for careers as mathematics teachers from seventh through twelfth grade by providing both a strong foundation in mathematical content and hands-on experience in the classroom.
- Emphasizes content knowledge, problem solving, curriculum development, lesson and unit planning, the use of technology, and the evaluation of student knowledge.
- Stresses the teaching philosophies of the National Council of Teachers of Mathematics (NCTM), knowledge students then put into practice in teaching experiences supervised by highly qualified teachers.

The Secondary Education – Mathematics major is designed for students who plan to teach Mathematics at middle, junior or high school level or for graduate studies in the field. The degree will prepare students to become state certified to teach the subject at any secondary level and help to address shortages of secondary math educators in Utah. Graduates will not only understand the art of teaching but also have a deep content knowledge of Mathematics. Graduates of this program are able to accurately interpret and translate pictorial and descriptive information into mathematical statements; solve problems quantitatively and communicate results clearly; demonstrate understanding of numeric, algebraic and geometric reasoning; and, demonstrate computational skills in areas of applied mathematics.

The key knowledge, skill and ability goals of the B.S. Mathematics Education program are:

- Knowing about mathematics, general pedagogy, and students’ mathematical learning, including modes of instruction and assessment, ways of building students’ informal understanding, and ways to stimulate engagement and exploration;
- Designing and implementing mathematical experiences that stimulate student’s interest and intellect;
- Orchestrate and facilitate meaningful classroom discourse in ways that promote the exploration and growth of mathematical ideas; • Assessing students’ existing mathematical knowledge and challenging students to extend that knowledge;
- Implementing teaching and learning activities, including selecting worthwhile mathematical tasks while creating a challenging and nurturing classroom environment; • Analyzing students’ learning, the mathematical tasks, the environment, and classroom discourse to make ongoing instructional decisions. Mathematics Teaching Today, NCTM 2010

- Demonstrate depth and breadth of understanding of statistics in core and elective areas through careful analysis.
- Apply statistical reasoning and analysis in content specific (scientific) areas.
- Communicate results of statistical analyses to a wide audience.
- Use modern statistical software to support statistical analyses and promote understanding.

The Department of Mathematics is pleased to offer a B.S. degree in Statistics. Statisticians assist in the collection and analysis of data thus providing decision makers information on which to base decisions. Knowledge of statistics and data handling helps students in almost every discipline. There are many opportunities in the job market for students with a degree in Statistics, and the program is ideal as preparation for a graduate degree in Statistics in any major university. The degree offers a wide variety of applied and theoretical courses in statistics, including statistical computing using both SAS and R programming.

- Knowledge of calculus, differential equations and linear algebra.
- The ability to communicate mathematics clearly, both verbally and in writing.

The AS mathematics programs are intended to prepare students for the pursuit of a bachelor’s degree. Those intending to transfer to other institutions should check transferability of courses with the institutions to which they intend to transfer.

- Knowledge of calculus, differential equations and linear algebra.
- The ability to communicate mathematics clearly, both verbally and in writing.

The mathematics minor can be combined with a variety of degrees throughout the university.

- Delivering high-quality content-based knowledge critical to student achievement
- Targeting in-service teachers who desire to teach dual credit in high school, given that dual-credit/dual-enrollment students are more likely to persist in college and are more likely to complete a Bachelor’s degree in less time than those who did not attempt college credits in high school.

The Graduate Certificate in Mathematics program aims to improve mathematics education and student achievement by focusing on two specific research-supported areas. First, high-quality content-based knowledge is critical to student achievement. And second, dual-credit/dual-enrollment students are more likely to persist in college and are more likely to complete a Bachelor’s degree in less time than those who did not attempt college credits in high school.

Utah Valley University Mathematics Department, propose to provide a one-two year course of study for secondary-level teachers leading to a Graduate Certificate in Mathematics. The program is intended for 1) students who are holders of a Master’s degree in a discipline other than mathematics, and who wish to teach concurrent enrollment or college courses, and 2) students who wish to prepare for admission to graduate studies at Utah Valley University or another college/university, in anticipation of a Master’s Degree of Science in Mathematics or Mathematics Education.

The objective is to provide curricula in mathematics which will meet the present and future needs of all participants and supports evidence that shows that good teachers make a clear difference in student achievement and that the importance of teacher quality cannot be overstated. More importantly, evidence suggests that teacher quality is the “most important school factor in explaining differences in student performance (Goldhaber, 2002), even compared to the effects of changes in class size, the socio-economics characteristics of students or the level of education of parents (Clotfelter, Ladd, & L., Teacher Credentials and Student Achievement: longitudinal analysis with student fixed effects, 2007).

Graduate courses for this program will be available to match in-service teacher’s schedules, evenings and during summer sessions, taught by Utah Valley University full-time faculty. Furthermore, the program is designed to give secondary mathematics teachers breadth and depth in mathematics and statistics. We anticipate that these teachers’ enhanced content knowledge will not only help students become “college and career ready” but will have the added benefit of increased student achievement in subsequent mathematics courses at the College or University level. Admittance to UVU’s Graduate Program requires a $45 Admissions fee paid to Cashiers office and the following Admissions form filled out and taken to the Admissions office.

The Graduate Certificate is overseen by Dr. Christine Walker, LA 022j, (801) 863-8634. If you have further questions, you can send an email to [email protected].