| Hafta | Teori Konu Başlıkları |
|---|---|
| 1 | Sequences: Limits of Sequences, monotone & bounded sequences |
| 2 | Infinite Series: Definition of Series, Geometric Series, Telescoping Series, Divergent Series |
| 3 | Absolute and Conditional Convergence, Alternating Series |
| 4 | Convergence Tests I: Integral test, Comparison test, Limit comparison, p-series, Ratio-Root tests |
| 5 | Power Series, Taylor & Maclaurin Series |
| 6 | Improper Integrals: Convergence Criteria Comparison with p-integrals |
| 7 | Midterm Week |
| 8 | Multivariable Calculus: Functions of Several Variables, Limits and Continuity |
| 9 | Partial Derivatives, Chain Rule, Directional Derivative, Gradient |
| 10 | Tangent Planes and Differantials, Extremum Values and Saddle Points |
| 11 | Hessian matrix, Second Derivative Test, Lagrange Multipliers |
| 12 | Multiple Integration: Double Integrals |
| 13 | Polar Coordinates, Double Integrals in Polar Coordinates |
| 14 | Triple Integrals & Change of Variables |
| Hafta | Uygulama Konu Başlıkları |
|---|---|
| 1 | Sequences: Limits of Sequences, monotone & bounded sequences |
| 2 | Infinite Series: Definition of Series, Geometric Series, Telescoping Series, Divergent Series |
| 3 | Absolute and Conditional Convergence, Alternating Series |
| 4 | Convergence Tests I: Integral test, Comparison test, Limit comparison, p-series, Ratio-Root tests |
| 5 | Power Series, Taylor & Maclaurin Series |
| 6 | Improper Integrals: Convergence Criteria Comparison with p-integrals |
| 7 | Midterm Week |
| 8 | Multivariable Calculus: Functions of Several Variables, Limits and Continuity |
| 9 | Partial Derivatives, Chain Rule, Directional Derivative, Gradient |
| 10 | Tangent Planes and Differantials, Extremum Values and Saddle Points |
| 11 | Hessian matrix, Second Derivative Test, Lagrange Multipliers |
| 12 | Multiple Integration: Double Integrals |
| 13 | Polar Coordinates, Double Integrals in Polar Coordinates |
| 14 | Triple Integrals & Change of Variables |
