Analysis II
Vladimir Ivanov
Syllabus of the course
Lectures 1 notes – Derivative of a Function
Lectures 2 notes – The Number e
Lectures 3 notes – Exponential and Logarithmic Functions
Lectures 4 notes – Mean Value Theorem
Lectures 5 notes – Taylor’s Theorem
Midterm Exam Sample Problems
Lectures 6 notes – L’Hospital’s Rule
Lectures 7 notes – The Riemann Integral
Lectures 8 notes – Riemann Integral Properties
Final Exam Sample Problems
Recommended textbooks
- T.Tao, Analysis I, 4th edition
- V.Zorich, Mathematical Analysis I, 2nd edition
- W.Rudin, Principles of Mathematical Analysis, 3rd edition
- S.Abbott, Understanding Analysis, 2nd edition
- T.Apostol, Mathematical Analysis, 2nd edition
- J.Cummings, Real Analysis, 2nd edition