Any mentor is expected to perform well at:

• Identifying the developmental needs of others and coaching, mentoring, or otherwise helping others to improve their knowledge or skills.
• Providing guidance and direction to subordinates, including setting performance standards and monitoring performance.
• Convincing others to accept and idea or to otherwise change their minds or actions in accordance to the companies objectives.
• Identifying the educational needs of others, developing formal educational or training programs or classes, and teaching or instructing others.

Innovators will usually have four main goals:

• Developing or creating new applications, relationships, systems, or products.
• Providing creative ideas or artistic contributions.
• Keeping up-to-date technically and applying new knowledge to your job.
• Benchmarking, experimenting and testing novel approaches to solving problems.

• Keeping abreast of developments and technological advances in the mathematical field by reading current literature, talking with colleagues, and participating in professional conferences.
• Evaluating and grading students’ class working, assignments, and papers.
• Compiling, administering, and grading examinations, or assigning this working to others.
• Preparing and delivering lectures to undergraduate or graduate students on topics such as linear algebra, differential equations, and discrete mathematics.
• Preparing course materials, such as syllabi, homework assignments, and handouts.
• Maintaining student attendance records, grades, and other required records.
• Maintaining regularly scheduled office hours to advising and assisting students.
• Planning, evaluating, and revising curricula, course content, and course materials and methods of instruction.
• Initiating, facilitating, and moderating classroom discussions.
• Selecting and obtaining materials and supplies, such as textbooks.