||Where/when it is addressed
|1. Demonstrates proficiency in Algebra and
Trigonometry necessary for success in Advanced mathematical
||Students need this proficiency to understand problems
|2. Demonstrates proficiency in Differential,
Integral, and Multivariable Calculus necessary for success in Advanced
||The student will use concepts from calculus in the
studey of analysis and sequences.
|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.
||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.
||This is the main emphasis of the course. A student
will be introduced to and develop the skill of organizing and
writing original proofs.
|5. Communicate mathematical ideas effectively in both
written and oral context.
||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
|6. Apply major definitions, theorems and algorithms
in problem solving.
||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.
| 7. Use appropriate technological tools while
solving mathematical problems.
||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.
|8. Prepare professionally for graduate school or
employment in mathematics or related fields.
||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
||Inquiry, Service, Stewardship