# Calculus II Lab

Syllabus for MAT 156

Calculus II Lab, MAT 156, 1 credit
Prerequisits: MAT 175, MAT 155 Corequisite:  MAT 176
Software: Maple Classic
Text same as 176: Larson, Hostetler and Evans, Calculus Early Transcendentals, Houghton Mifflin, fourth edition.

Warning: There is no text with Maple commands. Students should take notes in class and use the help menu in the Maple program.

Prerequisites: Students who took Calculus I over the summer or at another college will not have taken MAT155. Since scheduling makes it impossible to take this course at the same time as Calculus II, these students are allowed into the class. It is recommended that they be paired up with a student who had an A or B in MAT155 for the first three projects. They could also be encouraged to attend more than one section of MAT156 temporarily to have extra practice with computers. As with all students having difficulties, these students can be encouraged to seek help at the Math Lab.

Grading: This is up to the instructor. Professor Petridis' website for sample exams and solutions of old labs. He designed those as well as the new ones and that students are only earning one credit for this course. Keep in mind that in MAT155 students were permitted to consult a command worksheet during the exams.

Syllabus and Official Labs:

These programs work in Maple Classic. Open them up and do not let the program update them. Just save them with a new file name on your disk right away.

The following is a list of the topics covered in the official labs with links to the corresponding maple files. Not all the labs will be covered, the instructor will choose to skip one or two of the optional labs.

• Lab 1: Maple review: decimal expansions, defining a function, solve and fsolve commands.
• Lab 2: Continuation of Maple review: Derivatives, critical points, inflection points, Left-hand sums and right-hand sums for the velocity function as approximations of the distance travelled and of the area under the velocity function. Plots and comparisons but no numerics.
• Lab 3: Left-hand sums and right-hand sums: comparing sums with increasing number of subintervals, numerical evaluations of the sums, convergence of Riemann sums, introduction to loops.
• Lab 4: Plots of circles and ellipses, implicitplot, completethesquare and scaling=constrained commands.
• Lab 5: Trapezoid and Midpoint rules. Comparisons with Left-hand sums and Right-hand sums. The midpoint rule as a midpoint-tangent-trapezoid rule.
• Midterm
• Lab 6: Calculation pi with Riemann sums. Substitution with Maple.
• Lab 7: Area between two curves and volumes of revolution. The method of discs, washers and cylindrical shells (warning some sections of Calculus II may not teach cylindrical shells)
• Lab 8: Arclength of the circle and the ellipse. (optional)
• Lab 9: Partial fractions and completing the square.