**Topics (CTs):**

**Limit and Continuity:**Limits and continuity of single variable functions. Computation of limits. Continuity. Limits involving Infinity. L’hospital rule

**The**

**derivative:**change of rates, rules of derivatives, higher derivatives, chain rule, implicit differentiation, L’Hospital’s rule. Derivative of trigonometric, Logarithmic and Exponential functions.

**Applications of derivatives:**Maximum and Minimum values increasing and decreasing functions, concavity, sketching of functions, some optimization applications

**Integrals:**antiderivatives and indefinite integral, fundamental theorem of Calculus, simpler integration techniques.

**Methods of integrations:**General power formula, basic logarithmic and exponential forms, trigonometric forms, integration by substitution, integration by parts.

**Applications of Integrations:**In geometry: Finding area under the curve and between two curves, and using integration in physics and other engineering applications.