Instructor: Craig Sutton

Course on canvas.dartmouth.edu

Syllabus

Date Topic

Reading

Please complete before class

March 31 Topological Notions Munkres Chp. 1
April 2 Topology Wrap-up; Munkres Chp. 1
April 7 The Derivative & Chain Rule Munkres Sec. 5-7
April 9 Chain Rule; Inverse Function Theorem Munkres 7 & 8
April 14 Inverse Function Theorem & Implicit Function Theorem Munkres 8 & 9
April 16
April 21 No Class
April 23 No Class
April 28
April 30
May 5
May 6 (x-hour)
May 7
May 12 Fubini's Theorem, Integrals over Bounded Sets Munkres Sec. 12, & 13 14 
May 13 (x-hour) Integrals over Bounded Sets & Extended Integrals Munkres Sec. 13, 14 & 15
May 14 Extended Integrals & Change of Variables Formula Munkres Sec. 15, 16 & 17
May 19 Measuring "Volume" and Introduction to Multilinear Algebra  Munkres Sec. 27
May 21
May 26 The Differential; Singular n-cubes and Integration over Chains; Stokes' Theorem
May 27 (x-hour)
May 28
June 2
June 3 (x-hour)