MATH 301 — DISCRETE MATHEMATICS
Learning Objectives & Matches
Understand under what conditions basic logical statements are true
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Assemble sets of assumptions, and explore the consequences of each set.
Describe and express observations and conclusions in mathematical terms.
Determine conditions under which tests are to be conducted, as well as sequences and phases of test operations.
Interpret and explain information such as eligibility requirements, application details, payment methods, and applicants' legal rights.
Write and code logical and physical database descriptions and specify identifiers of database to management system, or direct others in coding descriptions.
Interpret laws, rulings and regulations for individuals and businesses.
Write and code logical and physical database descriptions, and specify identifiers of database to management system or direct others in coding descriptions.
Interpret and explain policies, rules, regulations, or laws to organizations, government or corporate officials, or individuals.
Define the goals of the system and devise flow charts and diagrams describing logical operational steps of programs.
Be able to construct basic mathematical proofs
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Mentor others on mathematical techniques.
Describe and express observations and conclusions in mathematical terms.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Instruct through lectures, discussions, and demonstrations in one or more subjects, such as English, mathematics, or social studies.
Instruct through lectures, discussions, and demonstrations in one or more subjects, such as English, mathematics, or social studies.
Instruct through lectures, discussions, and demonstrations in one or more subjects, such as English, mathematics, or social studies.
Instruct through lectures, discussions, and demonstrations in one or more subjects, such as English, mathematics, or social studies.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Have an introductory understanding of Modular Arithmetic
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Prepare lesson plans or learning modules for tutoring sessions according to students' needs and goals.
Provide individualized instruction and tutorial or remedial instruction.
Plan, evaluate, and revise curricula, course content, course materials, and methods of instruction.
Plan, evaluate, and revise curricula, course content, course materials, and methods of instruction.
Plan, evaluate, and revise curricula, course content, course materials, and methods of instruction.
Plan, evaluate, and revise curricula, course content, course materials, and methods of instruction.
Plan, evaluate, and revise curricula, course content, course materials, and methods of instruction.
Plan, evaluate, and revise curricula, course content, course materials, and methods of instruction.
Be able to construct different types of inductive proofs
Gather evidence to formulate defense or to initiate legal actions by such means as interviewing clients and witnesses to ascertain the facts of a case.
Route proofs with marked corrections to authors, editors, typists, or typesetters for correction or reprinting.
Deliver advertising or illustration proofs to customers for approval.
Design and verify cryptographic protocols to protect private information.
Review and approve proofs submitted by composing room prior to publication production.
Collect evidence to support contested claims in court.
Generate prepress proofs in digital or other format to approximate the appearance of the final printed piece.
Provide expert testimony in litigation cases.
Verify signatures and required information on checks.
Testify in court and present evidence.
Be able to work with sets and count the elements of certain sets
Instruct others in program methods, procedures, or functions.
Write new functions or applications in programming languages to conduct analyses.
Develop set designs, based on evaluation of scripts, budgets, research information, and available locations.
Measure, weigh, and count products and materials.
Count sections of drill rod to determine depths of boreholes.
Assemble sets of assumptions, and explore the consequences of each set.
Gather records pertinent to specific problems, review them for completeness and accuracy, and attach records to correspondence as necessary.
Analyze information from traffic counting programs.
Compute mathematical formulas to develop and design detailed specifications for components or machinery, using computer-assisted equipment.
Compute data, such as gear dimensions or machine settings, applying knowledge of shop mathematics.
Be able to work with relations and functions
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Plan, direct, supervise, and coordinate work activities of subordinates and staff relating to employment, compensation, labor relations, and employee relations.
Plan, direct, supervise, and coordinate work activities of subordinates and staff relating to employment, compensation, labor relations, and employee relations.
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Study operations sequence, material flow, functional statements, organization charts, and project information to determine worker functions and responsibilities.
Lay out and draw schematic, orthographic, or angle views to depict functional relationships of components, assemblies, systems, and machines.
Collaborate with other operators to solve unit problems.
Develop system interaction or sequence diagrams.
Develop system interaction or sequence diagrams.
Study work orders, instructions, formulas, and processing charts to determine specifications and sequence of operations.
Be able to construct rotational matrices with scaling factors and shifts
Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.
Compute dimensions, areas, volumes, and weights.
Rotate tires to different positions on vehicles, using hand tools.
Compute dimensions, tolerances, and angles of workpieces or machines according to specifications and knowledge of metal properties and shop mathematics.
Prepare scale drawings or architectural designs, using computer-aided design or other tools.
Align wheels, axles, frames, torsion bars, and steering mechanisms of automobiles, using special alignment equipment and wheel-balancing machines.
Compute unspecified dimensions and machine settings, using knowledge of metal properties and shop mathematics.
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Assemble gear systems, and align frames and gears.
Create two-dimensional and three-dimensional images depicting objects in motion or illustrating a process, using computer animation or modeling programs.
Be able to use Exponentials and Logarithms
Perform complex calculations as part of the analysis and evaluation of data, using computers.
Compute amounts, such as space available, shipping, storage, or demurrage charges, using computer or price list.
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Evaluate log characteristics and determine grades, using established criteria.
Calculate, review, and correct errors on interest, principal, payment, and closing costs, using computers or calculators.
Perform financial calculations, such as amounts due, interest charges, balances, discounts, equity, and principal.
Compute figures such as balances, totals, or commissions.
Measure felled logs or loads of pulpwood to calculate volume, weight, dimensions, and marketable value, using measuring devices and conversion tables.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Compute and analyze data, using statistical formulas and computers or calculators.
Understand the workings of basic Graph theoretic algorithms
Prepare graphs, charts, diagrams, or other aids to illustrate observations or conclusions.
Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.
Perform statistical analyses, such as social network pattern analysis, network modeling, discrete event simulation, agent-based modeling, statistical natural language processing, computational sociology, mathematical optimization, or systems dynamics.
Define the goals of the system and devise flow charts and diagrams describing logical operational steps of programs.
Draw and print charts, graphs, illustrations, and other artwork, using computer.
Read blueprints, schematics, diagrams, or technical orders to determine methods and sequences of assembly.
Read blueprints, illustrations, or specifications to determine layouts, sequences of operations, or identities or relationships of parts.
Coordinate structural, electrical, and mechanical designs and determine a method of presentation to graphically represent building plans.
Coordinate network or design activities with designers of associated networks.
Translate logical propositions and predicates into English (and vice versa)
Compile information on content and context of information to be translated and on intended audience.
Listen to speakers' statements to determine meanings and to prepare translations, using electronic listening systems as necessary.
Translate messages simultaneously or consecutively into specified languages, orally or by using hand signs, maintaining message content, context, and style as much as possible.
Arrange for interpreters or translators when patrons require such services.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Compile terminology and information to be used in translations, including technical terms such as those for legal or medical material.
Consult reference books or secure aid of readers to check references with rules of grammar and composition.
Read copy or proof to detect and correct errors in spelling, punctuation, and syntax.
Write and code logical and physical database descriptions and specify identifiers of database to management system, or direct others in coding descriptions.
Prepare detailed workflow charts and diagrams that describe input, output, and logical operation, and convert them into a series of instructions coded in a computer language.
Perform set operations
Determine and set product prices.
Attend rehearsals and production meetings to obtain and share information related to sets.
Assemble sets of assumptions, and explore the consequences of each set.
Observe sets during rehearsals in order to ensure that set elements do not interfere with performance aspects such as cast movement and camera angles.
Develop set designs, based on evaluation of scripts, budgets, research information, and available locations.
Prepare appropriate formatting to data sets as requested.
Instruct other workers in machine set-up and operation.
Analyze operations to evaluate performance of a company or its staff in meeting objectives or to determine areas of potential cost reduction, program improvement, or policy change.
Set and adjust machine controls according to product specifications, using knowledge of machine operation.
Plan and establish sequence of operations to fabricate and assemble parts or products and to promote efficient utilization.
Write basic mathematical proofs
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Describe and express observations and conclusions in mathematical terms.
Mentor others on mathematical techniques.
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Route proofs with marked corrections to authors, editors, typists, or typesetters for correction or reprinting.
Keep abreast of developments and technological advances in the mathematical field by reading current literature, talking with colleagues, and participating in professional conferences.
Read copy or proof to detect and correct errors in spelling, punctuation, and syntax.
Deliver oral or written presentations of the results of mathematical modeling and data analysis to management or other end users.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Check preliminary and final proofs for errors and make necessary corrections.
Determine whether a function is an injection, surjection, or bijection
Administer medications, including those administered by injection.
Use matrices in basic applications, such as vector graphics and cryptography
Operate various types of equipment, such as computer scanning equipment, addressographs, mimeographs, optical character readers, and bar-code sorters.
Prepare and deliver lectures to undergraduate or graduate students on topics such as linear algebra, differential equations, and discrete mathematics.
Analyze information processing or computation needs and plan and design computer systems, using techniques such as structured analysis, data modeling, and information engineering.
Use computers for various applications, such as database management or word processing.
Draw and print charts, graphs, illustrations, and other artwork, using computer.
Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Confer with clients regarding the nature of the information processing or computation needs a computer program is to address.
Perform complex calculations as part of the analysis and evaluation of data, using computers.
Create visual representations of geospatial data, using complex procedures such as analytical modeling, three-dimensional renderings, or plot creation.
Compare functions using Big-O notation
Compile, sort, and verify the accuracy of data before it is entered.
Graph a function on a log-log scale
Measure felled trees and cut them into specified log lengths, using chain saws and axes.
Jab logs with metal ends of scale sticks, and inspect logs to ascertain characteristics or defects such as water damage, splits, knots, broken ends, rotten areas, twists, and curves.
Assess logs after cutting to ensure that the quality and length are correct.
Measure felled logs or loads of pulpwood to calculate volume, weight, dimensions, and marketable value, using measuring devices and conversion tables.
Grade logs according to characteristics such as knot size and straightness, and according to established industry or company standards.
Log data, such as water levels and weather conditions.
Evaluate log characteristics and determine grades, using established criteria.
Coordinate the selection and movement of logs from storage areas, according to transportation schedules or production requirements.
Determine scales, line sizes, or colors to be used for hard copies of computerized maps, using plotters.
Determine specifications for, or implement, logging.
Perform modular arithmetic and solve linear congruences
Prove statements using mathematical induction
Mentor others on mathematical techniques.
Solve problems using recursive methods
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Analyze problems to develop solutions involving computer hardware and software.
Design or coordinate successive phases of problem analysis, solution proposals, or testing.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Collaborate with other operators to solve unit problems.
Develop and implement solutions for network problems.
Consult with researchers to analyze problems, recommend technology-based solutions, or determine computational strategies.
Gather and organize information on problems or procedures.
Order the performance of corrective work when problems occur and recommend procedural changes to avoid such problems.
Solve counting problems involving combinations and permutations
Solve problems in a number of engineering fields, such as mechanical, chemical, electrical, civil, nuclear, and aerospace.
Insert new or repaired tumblers into locks to change combinations.
Consult with parents, teachers, and other school personnel to determine causes of problems, such as truancy and misbehavior, and to implement solutions.
Cook the exact number of items ordered by each customer, working on several different orders simultaneously.
Coordinate travel arrangements and travel with team to away contests.
Determine or facilitate seating arrangements.
Sort shop orders into groups to maximize materials utilization and minimize machine setup time.
Select number of colors and determine color separations.
Select flora and foliage for arrangements, working with numerous combinations to synthesize and develop new creations.
Order supplies.
Determine if a binary relation is an equivalence relation
Take a projection of a relation
Clean the projection booth.
Inspect projection equipment prior to operation to ensure proper working order.
Sort data using trees
Compile, sort, and verify the accuracy of data before it is entered.
Develop techniques for measuring and identifying trees.
Sort or classify information according to guidelines, such as content, purpose, user criteria, or chronological, alphabetical, or numerical order.
Sort, assemble, and proof completed work.
Sort books, publications, and other items according to established procedure and return them to shelves, files, or other designated storage areas.
Provide information to the public regarding trees, such as advice on tree care.
Record data about individual trees or load volumes into tally books or hand-held collection terminals.
Measure felled trees and cut them into specified log lengths, using chain saws and axes.
Electronically sort and compile text and numerical data, retrieving, updating, and merging documents as required.
Select trees to be cut down, assessing factors such as site, terrain, and weather conditions before beginning work.