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Fall 2011, MAT 115, Analytic Geometry and Calculus II

This is the first sequel course to MAT 114. The content goals of the course are: to understand the definition of definite and indefinite integrals and the fundamental theorems of Calculus; to learn techniques for computing integrals in terms of elementary functions; and to learn how to apply these ideas to problems in geometry, physics, engineering, and beyond. In addition, the supplemental goals are: to adopt the language of Calculus; work towards proficiency in technical written/oral/visual communication; and learn mathematical problem solving strategies.

  • (Preferred) Email: jacaine "at" csupomona.edu
  • Phone: (909) 869-4513
  • Office Hours w/ Dr. Caine in 8-216: Mon. 3:30pm-4:30pm, Tues. 10-11am, Thurs. 3-4pm, and by Appt.
  • Class meets in 8-210 : Tuesday, Thursday 8:00am-9:50am
  • Text: Stewart, J.; Calculus: Early Transcendentals. California Edition with Classic Problems, 6th Edition; Thompson Brooks/Cole

Syllabus, assignments, exam information, and ancillary materials for the course are available through Cal Poly's Blackboard system.

Integral Calculus finds great application in the computation volumes of irregular three dimensional shapes, such as the bucket of a front end loader. Image credit: LeTourneau Technologies, Inc..

 

Fall 2011, MAT 321, Introduction to Topology

The content goals of the course are: to understand the abstract definitions of topological spaces and continuous maps between them and their origins; learn the properties which distinguish types of topological spaces such as connectedness and compactness and the interplay of these notions with continuous maps; be exposed to a wide array of examples of topological spaces from mathematics and beyond. In addition, the supplemental goals are: to gain comfort with abstraction; learn the technical skills of proof writing and rigorous argument; and learn to communicate mathematics to other mathematicians.

  • (Preferred) Email: jacaine "at" csupomona.edu
  • Phone: (909) 869-4513
  • Office Hours w/ Dr. Caine in 8-216: Mon. 3:30pm-4:30pm, Tues. 10-11am, Thurs. 3-4pm, and by Appt.
  • Class meets in 8-156 : Tuesday, Thursday 1:00pm-2:50pm
  • Text: Munkres, J.; Topology, 2nd Ed., Prentice Hall (2000).

Syllabus, assignments, exam information, and ancillary materials for the course are available to registered students through Cal Poly's Blackboard system.

A bio-molecular network as an example of a topological space. Researchers seek topological observables which can distinguish such networks from simple random graphs to explain animal diversity and adaptability. Image credit: Michael Laessig, University of Cologne.