# Program Learning Outcomes

**Developmental Program**

**PLO#1 **- **Applications Problems** A student completing Pre-Collegiate Mathematics will recognize the underlying mathematical concepts in a given context (word problems, data, diagrams, etc.) and apply those concepts correctly.

**PLO#2**- **Solving Equations and Manipulating Expressions **A student completing Pre-Collegiate Mathematics will demonstrate the ability to identify and correctly implement techniques to symbolically solve equations and manipulate expressions.

**PLO#3**- **Visual and Graphical Methods **A student completing Pre-Collegiate Mathematics will use visual and graphical methods to represent and analyze information and to solve problems.

**PLO#4** - **Articulating Mathematical Reasoning **A student completing Pre-Collegiate Mathematics will verbally articulate (orally or in writing) the mathematical reasoning they used to solve a problem or analyze a situation.

**Math for GE and Non-Science Students**

**PLO#1** - Students will be able to analyze and solve application problems involving business, the social sciences, and/or biological sciences using graphical methods.

**PLO#2** - Students will be able to analyze and solve application problems involving business, the social sciences, and/or biological sciences using analytical and computation skills.

**Math for Prospective Elementary School Teachers**

**PLO#1 **- Students will be able to determine an appropriate strategy to solve an application problem, complete the solution of the problem, describe the procedures used to solve the problem, and explain the underlying mathematical concepts using written and oral means.

**PLO #2** - Students will be able to demonstrate and explain mathematical concepts using a variety of methods.

**PLO #3** - Students will be able to analyze a solution to a mathematics problem, determine the appropriateness of the solution, and if errors are made, explain the misconceptions or errors made and how to solve the problem correctly using written and oral means.

**Math for Engineering, Science and Math Students**

**PLO #1** - Students will analyze problems, recognize appropriate methods of solution, solve the problems, and explain and interpret the solutions.

**PLO #2** - Students will demonstrate and explain mathematical concepts using a variety of methods.

**PLO #3** - Students will see and appreciate the nature of mathematical rigor and understands the common features and concepts of mathematical thought and practice.

**PLO #4** - Students will construct proofs relevant to the course concepts and content.

**Pre - Engineering**

**PLO #1**- Students will analyze the preparation, assess the cognitive skills, and apply academic success strategies required in engineering.

**PLO #2** - Students will apply principles from mathematics, physics, and chemistry to solve applied problems in engineering.

**Computer Science**

**PLO #1** - Students will use logic and set algebra to analyze statements and arguments, and use these ideas to write proofs using a variety of methods.

**PLO #2** - Students will use functions, sequences and series to analyze computer science structures, and analyze the complexity of the algorithms that use them.

**PLO #3** - Students will use number theory to find factorizations, common multiples and factors, perform modular arithmetic, and prove important results.

**PLO #4 **- Students will use combinatorics and probability to model, solve and prove a variety of counting problems.

**PLO #5** - Students will solve problems and write proofs in graph theory.