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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) 8694513
 Office Hours w/ Dr. Caine in 8216:
Mon. 3:30pm4:30pm, Tues. 1011am, Thurs. 34pm, and by Appt.
 Class meets in 8210 :
Tuesday, Thursday 8:00am9:50am
 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) 8694513
 Office Hours w/ Dr. Caine in 8216:
Mon. 3:30pm4:30pm, Tues. 1011am, Thurs. 34pm, and by Appt.
 Class meets in 8156 :
Tuesday, Thursday 1:00pm2:50pm
 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 biomolecular 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.


