||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
and proofs, and do develop problem sovling skills.
|2. Demonstrates proficiency in Differential,
Integral, and Multivariable Calculus necessary for success in Advanced
|| Techniques of integration, Differential Equations
is the basis of this course and is the main component of it.
|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.
||Content knowledge will be expanded; definitions and theorems
are key to understanding calculus and how they help us develop a
living knowledge of mathematics.
||Knowledge, Inquiry, Analysis
|4. Organize and explain their knowledge of logic and
mathematical content in the structure of original valid proofs.
||Proofs will be demonstrated by the
instructor and examples will be presented in the book. Original
proofs required of the student will be minimal.
|5. Communicate mathematical ideas effectively in both
written and oral context.
||Students must be able to write solutions in a logical
and cohesive manner; likewise, oral explanations are very important
for the successful student.
|6. Apply major definitions, theorems and algorithms
in problem solving.
||Application problems appear in many chapters in calculus.
| 7. Use appropriate technological tools while
solving mathematical problems.
||Students should have a good knowledge of calculator
use and computers to aid them in solving problems. Use of
calculators is restricted on tests, however.
|8. Prepare professionally for graduate school or
employment in mathematics or related fields.
||Applications of calculus are thrroughout the course.
||Inquiry, Service, Stewardship