Calculus 2

This course is designed to help you achieve the following objectives:

• An understanding of the basic methods of integration and the use of tables of integrals.
• A better understanding of the limit concept through the use of sequences.
• An ability to conceptualize the relationship between partial sums and infinite series.
• An understanding of six basic tests for series convergence.
• Knowledge of error estimates when using an approximation for the sum of an infinite series.
• An understanding of the representation of an analytic function as a power series.
• An understanding that functions are solutions to differential equations.
• Knowledge of the use of differential equations in applications.
• Knowledge of methods of solving first- and second-order equations.
• An ability to see the relationship between infinite series and differential equations.