| 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, Integration by Parts |
| 12 |
Partial Fraction Decomposition, Trigonometric Integrals |
| 13 |
Trigonometric Substitutions |
| 14 |
Improper Integrals |
