TEXTBOOKS, HOMEWORK, EXAM DATES (pdf)

SYLLABUS (pdf)

NOTATION (pdf)

SUMMARY 1: BASIC TOPOLOGY AND COMPACTNESS THEOREMS (pdf)

SUMMARY 2: BASIC EXAMPLES AND DEFINITIONS (pdf)

SUMMARY 3: BASIC EXISTENCE AND UNIQUENESS THEOREMS (pdf)

SUMMARY 4: FURTHER PROPERTIES OF THE SOLUTIONS (pdf)

SUMMARY 5: LINEAR EQUATIONS -GENERAL THEORY (pdf)

SUMMARY 6: AUTONOMOUS SYSTEMS -PHASE PLANE ANALYSIS, POINCARE-BENDIXSON THEOREM (pdf)

SUMMARY 7: MORE ON PERIODIC SOLUTIONS (pdf)

SUMMARY 8: AUTONOMOUS SYSTEMS, HYPERBOLIC CASE -STABILITY,STABLE MANIFOLD THEOREM (pdf)

SUMMARY 9: AUTONOMOUS SYSTEMS, HYPERBOLIC CASE -THE HARTMAN-GROBMAN THEOREM(DIFFEOMORPHISMS,EQUATIONS) (pdf)

HW 1: (pdf)

HW 2: (pdf)

HW 3: (pdf)

HW 4: (pdf)

HW 5: (pdf)

MIDTERM 2008: (pdf)

MIDTERM 2011: (pdf)

HW 6: (pdf)

HW 7: (pdf)

Final-1-September-2008 (pdf)

Final-2-October-2008 (pdf)

Final-1-July-2011 (pdf)

Final-2-August-2011 (pdf)