| Hafta | Teori Konu Başlıkları |
|---|---|
| 1 | Preliminaries: Real Numbers, Inequalities, Functions, and Graphs |
| 2 | Limits: Definition, One-Sided Limits, Limits at Infinity |
| 3 | Continuity, Tangent Lines, Concept of the Derivative, Rules of Differentiation, Chain Rule |
| 4 | Implicit Differentiation and Derivatives of Inverse Functions |
| 5 | Exponential, Logarithmic, and Inverse Trigonometric Functions and Their Derivatives |
| 6 | Applications of Derivatives: Maxima, Minima, and Optimization Problems |
| 7 | Midterm Week |
| 8 | Curve Sketching: Critical Points, Inflection Points, Concavity |
| 9 | Antiderivatives, Introduction to Integration: Definite and Indefinite Integrals |
| 10 | Properties and Applications of Definite Integrals (Area Between Curves) |
| 11 | Techniques of Integration: Substitution |
| 12 | Integration by Parts |
| 13 | Partial Fraction Decomposition, Trigonometric Integrals |
| 14 | Trigonometric Substitutions |
| Hafta | Uygulama Konu Başlıkları |
|---|---|
| 1 | Preliminaries: Real Numbers, Inequalities, Functions, and Graphs |
| 2 | Limits: Definition, One-Sided Limits, Limits at Infinity |
| 3 | Continuity, Tangent Lines, Concept of the Derivative, Rules of Differentiation, Chain Rule |
| 4 | Implicit Differentiation and Derivatives of Inverse Functions |
| 5 | Exponential, Logarithmic, and Inverse Trigonometric Functions and Their Derivatives |
| 6 | Applications of Derivatives: Maxima, Minima, and Optimization Problems |
| 7 | Midterm Week |
| 8 | Curve Sketching: Critical Points, Inflection Points, Concavity |
| 9 | Antiderivatives, Introduction to Integration: Definite and Indefinite Integrals |
| 10 | Properties and Applications of Definite Integrals (Area Between Curves) |
| 11 | Techniques of Integration: Substitution |
| 12 | Integration by Parts |
| 13 | Partial Fraction Decomposition, Trigonometric Integrals |
| 14 | Trigonometric Substitutions |
