Definitions

Outcome A: Graduates have an ability to apply knowledge of mathematics, science, and engineering (Updated 6/6/99)

Taxonomy Level:	Knowledge	Comprehension	Application	Analysis	Synthesis	Evaluation	Valuation
Bloom’s Definition:	Remembering previously learned information	Grasping the meaning of information	Applying knowledge to actual situations	Breaking down objects or ideas into simpler parts and seeing how the parts relate and are organized	Rearranging component ideas into a new whole	Making judgments based on internal evidence or external criteria	Sensitivity/willingness to receive (awareness w/o assessment, willingness to suspend judgment); Actively respond (comply, commit, internal satisfaction); Value (acceptance of worth, preference); Organize (when values conflict)
Verbs:	Arrange, define, describe, duplicate, identify, label, list, match, memorize, name, order, outline, recognize, relate, recall, repeat, reproduce, select, state	Classify, convert, defend, describe, discuss, distinguish, estimate, explain, express, extend, generalized, give example(s), identify, indicate, infer, locate, paraphrase, predict, recognize, rewrite, report, restate, review, select, summarize, translate	Apply, change, choose, compute, demonstrate, discover, dramatize, employ, illustrate, interpret, manipulate, modify, operate, practice, predict, prepare, produce, relate schedule, show, sketch, solve, use, write	Analyze, appraise, breakdown, calculate, categorize, compare, contrast, criticize, diagram, differentiate, discriminate, distinguish, examine, experiment, identify, illustrate, infer, model, outline, point out, question, relate, select, separate, subdivide, test	Arrange, assemble, categorize, collect, combine, comply, compose, construct, create, design, develop, devise, explain, formulate, generate, plan, prepare, propose, rearrange, reconstruct, relate, reorganize, revise, rewrite, set up, summarize, synthesize, tell, write	Appraise, argue, assess, attach, choose, compare, conclude, contrast, defend, describe, discriminate, estimate, evaluate, explain, judge, justify, interpret, relate, predict, rate, select, summarize, support, value	Accept, challenge, defend, respect, question, support, enjoy
Outcome Element: Apply knowledge of mathematics	Recognizes functional relationships among independent and dependent variables. Describes physical significance of functions, derivatives of functions, and integrals of functions.	Explains the role of mathematics as a tool for modeling systems and processes.	Applies mathematical principles to obtain analytical or numerical solution to model equations. Chooses a mathematical model of a system or process appropriate for the required accuracy.	Identifies mathematical and physical assumptions that allow model to be developed and solved at the level of accuracy required. Apply concepts of integral and differential calculus and linear algebra to solve problems.	Combines mathematics principles to formulate models of chemical, physical, and/or biological processes and systems as relevant to area of concentration.	Evaluates validity and reliability of mathematical models by comparing model solutions to either known results for simplified cases (i.e. numerical solutions compared to asymptotic analytical solutions) or relevant empirical data. Interprets mathematical model results to estimate accuracy and reliability.	Accepts limitations of mathematical models to physical reality. Challenges predictions of mathematical models until independently verified.

Definitions	Knowledge	Comprehension	Application	Analysis	Synthesis	Evaluation	Valuation
Outcome Element: Apply knowledge of science and engineering fundamentals	Describes fundamental scientific and engineering principles in chemical, physical, and/ or biological processes and systems as relevant to area of concentration.	Identifies which fundamental scientific and engineering principles govern the performance of a given process or system.	Applies engineering science principles as relevant to area of concentration, e.g.: - "conservation" principles of total mass, species mass, linear momentum, angular momentum, energy, or charge to model chemical, physical, and/or biological processes or systems. - rate and constitutive equations to model relevant chemical, physical, and/or biological processes or systems. - thermodynamic principles to predict bounds on the performance of processes or systems. - materials principles to characterize behavior of physical, chemical, and/or biological processes or systems.	Analyzes modeling results of systems or processes using fundamental scientific and engineering principles. Analyzes data sets using statistical concepts.	Combines scientific and engineering principles to formulate models of processes and systems.	Evaluates validity and reliability of model solutions by comparing model predictions to either known experimental results for specific processes or systems or simplified theoretical results. Interprets physical significance of model predictions. Defends use of selected engineering science principles to model a specific process or system.	Accepts limitations of mathematical models in predicting the performance of chemical, physical, and/or biological processes or systems as relevant to area of concentration. Accepts the role of mathematical models in guiding engineering design work. Accepts variance between model predictions and process or system performance.