Week 1 :
Introduction. Functions: definition, the vertical line test.
Library of Functions : constant function, power function, polynomials, rational functions,
piecewise defined functions, absolute value function, exponential functions,
Composition of functions, inverse functions, one-to-one functions.
Limits: tangent problem, one-sided limits, infinite limits. Limit Laws.
Continuity at a point: types of discontinuities. Continuity on an interval. Limits at
Derivatives: tangent line problem, rate of change. Derivative as a Function:
differentiability. Rules for Dif