MA101: Single-Variable Calculus I

Upon successful completion of this unit, you will be able to:

• define antiderivatives and the indefinite integral;
• state the properties of the indefinite integral;
• relate the definite integral to the initial value problem and the area problem;
• set up and calculate a Riemann sum;
• state the Fundamental Theorem of Calculus and use it to calculate definite integrals;
• state and apply basic properties of the definite integral;
• use substitution to compute definite integrals; and
• integrate transcendental, logarithmic, and hyperbolic functions.