MA1022 – Calculus II, A 2000
Learning Goals

This is a list of the learning goals for Calculus II. In order to pass the course, you must demonstrate that you have achieved each of these goals. To do this, you must pass the goals quiz with a sore of 8 (out of 10) or higher on the appropriate problem.

Goal #1: Evaluate anti-derivatives and use them to solve simple differential equations.

Goal #2: Define and evaluate an integral as the limit of a Riemann sum.

Goal #3: Use the Fundamental Theorem of Calculus to evaluate simple integrals.

Goal #4: Apply the Fundamental Theorem of Calculus to differentiate integrals.

Goal #5: Use the definite integral in applications involving area and solids of revolution.

Goal #6: Use the definite integral in applications involving work.

Goal #7: Use the definite integral in applications involving moments and center of mass.

Goal #8: Simplify and solve equations using properties of logarithms and exponentials.

Goal #9: Apply the rules of calculus to logarithms and exponential functions.

Goal #10: Analyze applications involving growth and decay.

Goal #11: Simplify and solve equations involving inverse trigonometric functions.

Goal #12: Apply the rules of calculus to inverse trigonometric functions.

Goal #13: Evaluate integrals using methods of substitution.

Goal #14: Evaluate antiderivatives and definite integrals using integral tables.

Goal #15: Evaluate antiderivatives and definite integrals using integration by parts.