Below is information for the courses I am teaching in Spring semester 2013, Advanced Calculus 430/530 and Complex Analysis 440/540.

My office hours are MW 16.30-17.30, F 14:00-15:00, or by appointment. My office is 351 Watson Hall.

This is the course syllabus.

Notes for the course are available here.

Homeworks:

• 1: Sets and functions
• 2: Induction
• 3. Equivalence, countability and real numbers
• 4. Sequences and convergence
• 5. Cauchy sequences and accumulation points
• 6. More sequences
• 7. Limit of a function
• 8. More limits of functions and continuity
• 9. Continuity and uniform continuity
• 10. Compactness and IVT
• 11. Derivatives
• 12. Mean Value Theorem

Quizzes with solutions:

• Quiz 1
• Quiz 2
• Quiz 3
• Quiz 4
• Quiz 5
• Quiz 6

This is the course syllabus.

Course notes:

• Chapter 1: complex numbers
• Chapter 2: complex functions
• Chapter 3: integration in the complex plane
• Chapter 4: Taylor series and Laurent series
• Chapter 5: conformal mappings

Homeworks:

• 1: Complex numbers
• 2. Sets and limits
• 3. Holomorphic functions and Cauchy-Riemann equations
• 4. The sine function
• 5. Logarithms and lengths
• 6. Integration of complex functions
• 7. Applications of Cauchy theory
• 8. Taylor series
• 9. Multiplicity of zeros and Laurent series
• 10. Residues

Quizzes with solutions:

• Quiz 1
• Quiz 2
• Quiz 3
• Quiz 4
• Quiz 5
• Quiz 6