General Calculus I

Solve the limit problems by using various Limit laws

Demonstrate the continuity or discontinuity of the function

Demonstrate various rules of derivatives

Compute derivatives

Demonstrate derivatives for trigonometric, exponential, and logarithmic functions

Apply Implicit differentiation

Use tangent line approximation

Use derivatives to solve optimization and related rates problem

Sketch the graphs using the derivatives

Solve integration using substitution method

Illustrate the Fundamental Theorem of Calculus

Compute area between the curves using integration

Apply L’Hôpital’s Rule to find the limit of indeterminate forms

Use Logarithmic differentiation

Apply various techniques to evaluate integration

Demonstrate convergence and divergence of improper integrals

Solve First Order linear differential equation