Izlence
On successful completion of this module, the students should be able to
1. Recall definitions, statements of theorems, certain examples and counterexamples pertaining to functions of one variable.
2. Calculate limits and continuity for functions of one variable.
3. Calculate the derivatives of elementary and transcendental functions of one variable, tangent line, the chain rule, implicit differentiation.
4. Compute the integrals of elementary and transcendental functions of one variable, method of substitution, integration by parts, powers and products of trigonometric functions, trigonometric substitution, partial fractions.
5. Solve problems of related rates, minimum-maximum, linear approximations, graphing functions, length of a curve, planar area, and volume.
6. Practice the basic principles of mathematical writing.