1. Definition of limit of a function.
2. Evaluate limits of functions.
3. Two sided limits.
4. Continuity of functions

1. Derivative and slope of a graph.
2. Some rules for differentiation.
3. Product and Quotient rules.
4. Rates of change.
5. The Chain rule.
6. Higher order derivatives.
7. Implicit differentiation.
8. Related rates.

1. Increasing and decreasing functions.
2. Extrema and first-derivative test.
3. Concavity and second derivative test.
4. Optimization problems.
5. Business and economics applications.
6. Asymptotes.
7. Curves sketching.
8. Differentials and marginal analysis.

1. Exponential functions.
2. Derivatives of exponential functions.
3. Logarithmic functions.
4. Derivatives of logarithmic functions.

1. Antiderivatives and indefinite integrals.
2. Integration by substitution and general power rule.
3. Exponential and logarithmic integrals.
4. Area and the Fundamental Theorem of Calculus.
5. Area of a region bounded by two graphs.

1. Integration by parts.
2. Numerical integrations.
3. Improper integrals.