Calculus II (MA 1022-B23)

Course Objectives

At the conclusion of this course, students will be able to:

• Find antiderivatives of a function

• Use the Fundamental Theorem of Calculus for definite and indefinite integrals

• Find the area of plane regions using integration

• Use the techniques of substitution, integration by parts, trigonometric substitution, and partial fractions to evaluate indefinite integrals

• Use integration to find volumes of revolution, arclength, and surfaces of revolution.

• Find the moment and center of mass of a two-dimensional object.

• Interpret and solve applied problems related to exponetial growth and decay.

• Basic understanding of elementary techniques in numerical integration.

• Pass a Basic Skills test administered by the Mathematics Department

Course Organization

The class typically meets 5 times per week: 4 lectures on MTRF, 1 discussion section (M or T), and 1 laboratory section. Students are responsible for all material presented in lecture and discussion for exams. My expectations for these activities are

• Lectures: This is the first opportunity for a student to see the material, and my expectation of students after a lecture is to have an introduction of the material, not to demonstrate mastery (i.e. Lehr). The goal is to give a high-level description of the main points of the topics, and to provide some examples illustrating the topic. These lectures are recorded via Echo 360, and these videos can be accessed through the course Canvas page.

• Practice Problems: For each section, there is a list of suggested problems from the text for students to learn the concepts through doing (i.e. Kunst). Solutions to these problems are neither collected nor graded, but they form the main topics of discussion during the Discussion section. The problem selection is a combination of examples of the types of problems to be found on the exams and quizzes, along with problems that are more detailed and which enhance learning the topics at a deeper level.

• Discussions: Students have an opportunity to sit down and work through the practice problems and WebWorK problems on a topic with an instructor and have their individual questions addressed. It is through the Discussion that the student can get major questions asked so that after Discussion, the student can continue to work through the practice problems to develop mastery.  

• Canvas: Course materials can be found on the Canvas page. The material is organized by topic, in the order presented in the text. In the event that lectures need to be delivered remotely, they will take place over Zoom.

Students are expected to spend an additional 8-12 hours per week studying outside of class: reading the text, organizing notes, and solving problems. In previous years, the average time, self-reported, spent outside of class on this course is 10 hours