Midterm
1. Limits and Continuity
- The Limit of a Function
- Calculating Limits
- Limits Involving Infinity
- Continuity
2.Derivatives
- Derivatives and Rates of Change
- The Derivative as a Function
- Basic Differentiation Formulas
- The Product and Quotient Rules
- The Chain Rule
- Implicit Differentiation
- Related Rates
- Linear Approximations and Differentials
3.Applications of Differentiation
- Maximum and Minimum Values
- The Mean Value Theorem
- Derivatives and the Shapes of Graphs
- Curve Sketching
- Optimization Problems
- Newton’s Method
1. Limits and Continuity
- The Limit of a Function
- Calculating Limits
- Limits Involving Infinity
- Continuity
2.Derivatives
- Derivatives and Rates of Change
- The Derivative as a Function
- Basic Differentiation Formulas
- The Product and Quotient Rules
- The Chain Rule
- Implicit Differentiation
- Related Rates
- Linear Approximations and Differentials
3.Applications of Differentiation
- Maximum and Minimum Values
- The Mean Value Theorem
- Derivatives and the Shapes of Graphs
- Curve Sketching
- Optimization Problems
- Newton’s Method
1.Integrals
- Antiderivatives
- Indefinite Integrals
- Integration by Substitution
- Integration by Parts
- Trigonometric Integrals and Substitutions
- Partial Fractions
- Improper Integrals
2.Applications of Integration
- Definite Integrals
- The Fundamental Theorem of Calculus
- Areas between Curves
- Volumes by Slicing
- Volumes by Cylindrical Shells
3.Differential Equations
- Modeling with Differential Equations
- Separation of Variables
เนื้อหาอาจมีการเปลี่ยนแปลง และอิงตามมหาวิทยาลัย
