1. Functions and Graphs

2. Domain and Range

3. Inverse Functions

4. Exponential and Logarithmic Functions

5. Trigonometric Functions

6. Limits and Continuity

7. Sequences and Series (Basics)

Applications of Derivatives 

1. Curve Sketching (Using First and Second Derivatives)

2. Critical Points, Maxima and Minima

3. Concavity and Points of Inflection

4. Optimization Problems

5. Mean Value Theorem

6. Rolle’s Theorem

7. Motion Along a Line (Velocity, Acceleration)

8. Differentials and Error Estimation

Integral Calculus 

1. Antiderivatives and Indefinite Integrals

2. Techniques of Integration

   1. Substitution Method (u-substitution)

   2. Integration by Parts

   3. Trigonometric Integrals

   4. Trigonometric Substitution

   5. Partial Fractions

3. Definite Integrals

   1. Fundamental Theorem of Calculus

   2. Properties of Definite Integrals

   3. Area Under a Curve

4. Improper Integrals

Sequences and Series (Advanced Calculus) 

1. 1. Arithmetic and Geometric Series

   2. Convergence and Divergence

   3. nth-Term Test

   4. Integral Test

   5. Comparison Test

   6. Alternating Series and Absolute Convergence

   7. Ratio and Root Tests

   8. Power Series

   9. Taylor and Maclaurin Series

   10. Radius and Interval of Convergence

Calculus in Real Life / Applications 

1. Concept of a Derivative

2. Limits and Derivatives

   1. Definition of Derivative (First Principles)

   2. Techniques for Finding Limits

3. Differentiation Rules

   1. Power Rule

   2. Product Rule

   3. Quotient Rule

   4. Chain Rule

4. Derivatives of:

   1. Polynomial, Rational, Radical Functions

   2. Exponential and Logarithmic Functions

   3. Trigonometric and Inverse Trig Functions

5. Higher-Order Derivatives

6. Implicit Differentiation

7. Related Rates

8. Linear Approximation

9. Differentiability and Continuity

Applications of Integrals 

1. Area Between Curves

2. Volume of Solids of Revolution

   1. Disk Method

   2. Washer Method

   3. Shell Method

3. Arc Length

4. Surface Area of Solids

5. Work, Force, and Fluid Pressure Problems

6. Center of Mass

Differential Equations (Intro Level) 

1. Separable Differential Equations

2. First-Order Linear Differential Equations

3. Exponential Growth and Decay

4. Newton's Law of Cooling

5. Logistic Models (Population)

Multivariable Calculus (Advanced)