Courses:

Analysis I >> Content Detail



Syllabus



Syllabus

Amazon logo When you click the Amazon logo to the left of any citation and purchase the book (or other media) from Amazon.com, MIT OpenCourseWare will receive up to 10% of this purchase and any other purchases you make during that visit. This will not increase the cost of your purchase. Links provided are to the US Amazon site, but you can also support OCW through Amazon sites in other regions. Learn more.


Prerequisites


Multivariable Calculus (18.02); Differential Equations (18.03) or Honors Differential Equations (18.034)



Text


Amazon logo Rudin, W. Principles of Mathematical Analysis. 3rd ed. McGraw-Hill Science/Engineering/Math, New York, NY: McGraw-Hill, 1976. ISBN: 007054235X.



Assignments


Weekly homework is due each Friday at 3 PM. Late homework will not be accepted, but the lowest score will be dropped.



Exams


There will be two midterms and a final exam.



Grading



ACTIVITIESPERCENTAGES
Ten Problem Sets40%
Exam 115%
Exam 215%
Final Exam30%



Calendar



WEEK #TOPICSKEY DATES
1Sets and Fields, The Real Numbers
2Countability, Metric SpacesProblem set 1 due
3Closed Sets, Compact SpacesProblem set 2 due
4Compact Subsets of Euclidean SpaceProblem set 3 due
5Completeness, Sequences and SeriesProblem set 4 due
6Continuity
Exam 1
7Continuity and CompactnessProblem set 5 due
8Differentiability, Mean Value TheoremProblem set 6 due
9Taylor Series, Riemann-Stieltjes IntegralProblem set 7 due
10Integrability, Fundamental Theorem of CalculusProblem set 8 due
11Sequences of Functions
Exam 2
12Uniform Convergence
13Uniform Convergence, EquicontinuityProblem set 9 due
14Power Series, Fundamental Theorem of AlgebraProblem set 10 due
15Final Review
Final Exam

 








© 2017 Coursepedia.com, by Higher Ed Media LLC. All Rights Reserved.