Calculus 1 Outline

1. Introduction to Calculus

• Definition of calculus

• Importance of calculus in various fields

• Difference between differential and integral calculus

2. Limits and Continuity

• Understanding limits conceptually

• Evaluating limits algebraically and graphically

• Continuity of functions

3. Differentiation

• Definition of derivative

• Rules for differentiation (power rule, product rule, chain rule)

• Applications of derivatives (finding maxima, minima, and inflection points)

4. Integration

• Antiderivatives and indefinite integrals

• Definite integrals and area under curves

• Techniques of integration (substitution, integration by parts)

5. Applications of Integration

• Finding areas between curves

• Volume of revolution

• Applications in physics, economics, and engineering

6. Differential Equations

• Introduction to differential equations

• Solving first-order differential equations

• Applications of difc

7. Review and Practice

• Review of key concepts

• Practice problems and exercises

• Preparation for exams and assessments