Our study of calculus, the mathematics of motion and change, is divided into two major topics: differential and integral calculus. Differential calculus enables us to calculate rates of change, to find the slope of a curve, and to calculate velocities and accelerations of moving bodies. Integral calculus is used to find the area of an irregular region in a plane, to measure lengths of curves, and to calculate centers of mass of arbitrary solids.
Upon successful completion of this course, the student will be able to:
• Work effectively with the concept of limits
• Use differential Calculus to solve problems involving instantaneous rates of change.
• Use knowledge of differential Calculus to determine characteristics of graphs
• Translate verbal descriptions into equations involving derivatives and vice versa.
• Solve real life problems involving optimization.
• Compute Riemann Sums using left, right, and midpoint evaluation points.
• Compare relative magnitudes of functions and their rates of change.
• Use Integral Calculus to determine the area between two curves.
• Find the volume of solids of revolution
• Find the volume of solids with known cross sections.
Upon successful completion of this course, the student will be able to:
• Work effectively with the concept of limits
• Use differential Calculus to solve problems involving instantaneous rates of change.
• Use knowledge of differential Calculus to determine characteristics of graphs
• Translate verbal descriptions into equations involving derivatives and vice versa.
• Solve real life problems involving optimization.
• Compute Riemann Sums using left, right, and midpoint evaluation points.
• Compare relative magnitudes of functions and their rates of change.
• Use Integral Calculus to determine the area between two curves.
• Find the volume of solids of revolution
• Find the volume of solids with known cross sections.
- Teacher: Tony Chang
- Teacher: Jude Clymer