| Outcome | Priority | Where/when it is addressed | |
|---|---|---|---|
| 1. Demonstrates proficiency in Algebra and Trigonometry necessary for success in Advanced mathematical studies. | Minimal | Students need this proficiency to understand problems and proofs. | Knowledge, Analysis |
| 2. Demonstrates proficiency in Differential, Integral, and Multivariable Calculus necessary for success in Advanced mathematical studies. | Minimal | The student will use concepts from calculus in the study of analysis and sequences. | Knowledge, Analysis |
| 3. Demonstrates content knowledge of both abstract and applied mathematical disciplines by stating definitions, salient theorems, and proofs of major theorems and concepts that are core content in upper division courses. | Medium | The student will be able to learn content knowledge that is essential to develop proofs. This will be followed in Chapters 5 and onward with new material, definitions and proofs. | Knowledge, Inquiry, Analysis |
| 4. Organize and explain their knowledge of logic and mathematical content in the structure of original valid proofs. | Very High | This is the main emphasis of the course. A student will be introduced to and develop the skill of organizing and writing original proofs. | Communication, Analysis |
| 5. Communicate mathematical ideas effectively in both written and oral context. | High | Students will be able to write solutions in a logical and cohesive manner; likewise, oral explanations are very important for the successful student. These will be developed throughout the course and will subsequently impact their success in upper-division courses. | Communication |
| 6. Apply major definitions, theorems and algorithms in problem solving. | Low | Applications and examples are given to reinforce concepts. They will not be used extensively. A student should therefore be able to present examples to others in helping them understand the concepts and definitions. | Knowledge, Analysis |
| 7. Use appropriate technological tools while solving mathematical problems. | Minimal | Technology is not a main objective in this course. Minimal use may be involved to illustrate and reinforce concepts and definitions. Students may be introduced to writing proofs in Latex or a similar program for writing mathematics. | Knowledge, Analysis |
| 8. Prepare professionally for graduate school or employment in mathematics or related fields. | Minimal | While the course minimally prepares students for employment or graduate school, it enables students to begin their journey in their decision for graduate school, employment, or other decisions. | Inquiry, Service, Stewardship |