Objectives: To introduce students to Integral Calculus.Anti-derivatives, area, the definite integral, indefinite integrals, the Fundamental Theorem of Calculus, the substitution rule, areas between curves, inverse functions, inverse trigonometric functions. Techniques of Integration. Tables of integrals, integration by parts, trigonometric integrals, Substitution, integration of rational functions, trapezoidal rule, Simpson's Rule. Applications of Integration: Volumes and sur...
Learning Outcomes
Integrate the basic functions and combinations of these functions using standard techniques
Use integrals to find areas and volumes
Compute an integral numerically to a given degree of accuracy
State the Fundamental Theorem of Calculus
Use the methods from the course to solve problems
State definitions and theorems covered in the course