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Math 430/530: Advanced Calculus 1
Official business
Syllabus
Notes
0. Mathematical Preliminaries
1. Sequences
2. Limits of functions
3. Continuous functions
4. Derivative of a function
5. The Riemann Integral
Homeworks
Sets and functions
Induction and Suprema/Infima
Sequences and Convergence
More sequences
Limit of a function
Continuous functions
Some topology and IVT
Differentiable functions
MVT and applications
More on differentiable functions
The Riemann integral
Extra Credit
Countability
Constructing the reals
Sets of discontinuity
What a derivative
really
is
Quizzes
Quiz 1
(with solutions)
Exam 1 Practice Questions
Quiz 2
(with solutions)
Exam 1
(with solutions)
Quiz 3
(with solutions)
Exam 2 Practice Questions
Quiz 4
Exam 2
(with solutions)
Quiz 5
Final Practice
Math 730: Quasiconformal mappings
Syllabus
Course notes
(updated regularly)
Homework 1
Homework 2
Homework 3
Math 632
Official business
Syllabus