# Mathematics/Computer Science Goals

## Goal I: Learn to apply precise, logical reasoning to problem solving

Learning Objectives for Goal I

(a) Students should be able to perform complex tasks; explore subtlety; discern patterns, coherence, and significance; undertake intellectually demanding mathematical reasoning; and reason rigorously in mathematical arguments in order to solve complex problems.

## Goal II: Develop persistence and skill in exploration, conjecture, and generalization

Learning Objectives for Goal II

(b) Students should be able to undertake independent work, develop new ideas, and discover new mathematics.

(c) Students should be able to state problems carefully, articulate assumptions, and apply appropriate strategies.

(d) Students should possess personal motivation and enthusiasm for studying and applying mathematics; and attitudes of mind and analytical skills required for efficient use, appreciation, and understanding of mathematics.

## Goal III: Read and communicate mathematics with understanding and clarity.

Learning Objectives for Goal III

(e) Students should be able to read, write, and speak mathematically; read and understand technically-based materials; contribute effectively to group efforts; communicate mathematics clearly in ways appropriate to career goals; conduct research and make oral and written presentations on various topics; locate, analyze, synthesize, and evaluate information; create and document algorithms; think creatively at a level commensurate with career goals; and make effective use of the library.

(f) Students should possess skill in expository mathematical writing, have a disposition for questioning, and be aware of the ethical issues in mathematics.

## Goal IV: Nature of Mathematics

Learning Objectives for Goal IV:

(g) Students should possess an understanding of the breadth of the mathematical sciences and their deep interconnecting principles; substantial knowledge of a discipline that makes significant use of mathematics (understanding of interplay among applications, problem-solving, and theory; understanding and appreciation of connections between different areas of mathematics and with other disciplines; awareness of the abstract nature of theoretical mathematics and the ability to write proofs; awareness of historical and contemporary contexts in which mathematics is practiced; understanding of the fundamental dichotomy of mathematics as an object of study and a tool for application; and critical perspectives on inherent limitations of the discipline).

## Goal V: Mathematical Modeling

Learning Objectives for Goal V:

(h) Students should be able to apply mathematics to a broad spectrum of complex problems and issues (formulate and solve problems; undertake some real-world mathematical modeling project; solve multi-step problems; recognize and express mathematical ideas embedded in other contexts; use the computer for simulation and visualization of mathematical ideas and processes; and use the process by which mathematical and scientific facts and principles are applied to serve society).

## Goal VI: Content Specific Goals

Learning Objectives for Goal VI:

(i) Students should understand theory and applications of calculus and the basic techniques of discrete mathematics and abstract algebra.

(j) Students should be able to write computer programs in a high level language using appropriate data structures (or to use appropriate software) to solve mathematical problems.

## Additional goals for Mathematics Majors Seeking Adolescent Teaching Certificate:

(k) Demonstrate knowledge and apply the national and state standards for mathematics instruction.

## Specific Learning Objectives for Mathematics Core Courses: Goals I and II and V for non- majors (as outlined in the Daemen College core curriculum Quantitative Literacy requirement):

A) Interpret models such as formulas, graphs, tables, and schematics, and draw inferences from them.

(B) Represent information symbolically, visually, numerically, and verbally. Use arithmetical, algebraic, geometric and statistical methods to solve problems.

(C) Estimate and check answers to problems in order to determine reasonableness, identify alternatives, and select optimal results.

(D) Recognize that Quantitative methods and statistical methods have limits

Mathematics Department Goals and Learning Objectives: As outlined by the Mathematical Association of America (MAA), “Mathematical Association of America's Committee on the Undergraduate Program in Mathematics (CUPM)." http://www.maa.org.