# Mathematics Program Outcomes

**Goal 1 : **Problem Solving: Students should become proficient in solving mathematical problems.

**SLO 1 :**Solve problems involving functions on the real numbers (or subset thereof) and operators on these functions (such as differentiation and integration.**SLO 2 :**Solve problems involving functions on the integers(or subset thereof) including sequences and limits of sequences.

**Goal 2 : **Conceptual Understanding: Students should have a solid conceptual understanding of the principles of mathematics at the undergraduate level.

**SLO 3 :**Translate physical situations to mathematical models.**SLO 4 :**Transition between various representations of functions or other mathematical objects: symbolic, graphical and numerical.

**Goal 3 : **Mathematical Thinking: Students should have demonstrate the ability to reason mathematically as well as to understand mathematical arguments and critically assess their validity.

**SLO 5 :**Understand the structure and significance of a mathematical proof.**SLO 6 :**Detect flaws in an erroneous mathematical argument or proof.**SLO 7 :**Generalize and think abstractly about mathematics.**SLO 8 :**Apply general mathematical theorems and principles to specific cases.

**Goal 4 : **Mathematical Communication: Students should have demonstrate the ability to communicate mathematical ideas effectively.

**SLO 9 :**Formulate or compose a correct mathematical proof.**SLO 10 :**Give a coherent explanation of a multi-step calculation, using English language prose and mathematical symbols appropriately.**SLO 11 :**Present mathematical ideas clearly and concisely.