# Calculus II/III

**CALCULUS II: dual enrollment MTH 264 (4 credits)
CALCULUS III: dual enrollment MTH 265 (4 credits)**

__Instructor__: Jeff Steele __Office__: 111 __Phone__: 434-477-5980 __e-mail__: jsteele@cvgs.k12.va.us

**Course Description**:

A college level study of single variable calculus and vector (multivariable) calculus which includes sequences and series, parametric equations and polar coordinates, analysis of vector-valued functions, analysis of functions of several variables, multiple integrals, and analysis of vector fields. This course emphasizes computational techniques, geometry, theoretical structure, and creative problem solving. Upon successful completion of each semester, the student will receive 4 credit hours from the Central Virginia Community College.

**Course Materials**:__Textbook__: *Calculus*, by Larson, Hostetler, and Edwards (4th edition). We will also use software packages and graphing calculators.

**Tentative Course Content for Fall Semester**

9.1 – 9.10 Sequences and Series of numbers and functions

11.1 – 11.5 Parametric Equations, Polar Coords, and their calculus

12.1 – 12.5 Vectors, lines, and planes

17.1, 17.7 Differential Equations and solutions using infinite series

**Grading for Fall semester**:

- Homework 5 %
- Projects 10 %
- 3 Midterm tests 20 % each
- Semester Exam 25 %
- Grading is on a 10-point scale.
- Nine-week grades should be viewed as progress reports for the entire semester.

**Class Methodology** (and Expectations):

A typical class will consist of 30 or more minutes of lecture (including discussion and question answering) followed by a period of group work during which the students should solidify their understanding of the concepts, identify remaining questions about the concepts, work examples, and start homework assignments. Some specific expectations follow.

1. I expect you to learn the material thoroughly. Through the brief lectures and individual meetings, I will try to facilitate your learning, but ultimately, you must *actively* take responsibility for your learning. Please work with the other members of the class.

2. I expect you to participate in each class meeting. During the lecture portion, be attentive, ask questions, and provide answers to questions posed by your classmates and myself. Work cooperatively with your classmates during the independent portion.

3. I expect you to work diligently on each homework assignment. **Working on these problems is the most important part of the course.** Please see the attached sheet for the assignments and homework rules.

4. I expect you to carefully read the textbook. During lecture, I will address major ideas and some examples, but there will be topics and examples you should learn from the textbook. You will often have to creatively solve problems based on your knowledge of the concepts. This expectation of creative problem solving is typical of a challenging college mathematics course.

5. I expect you to take the midterm tests as scheduled. If you need to miss a test, please make arrangements in advance. For policies concerning the final exam, please refer to the CVGS Student Handbook.

**Course objectives**:

1. You should learn the computational techniques of Calculus and their geometric meanings. This interplay between computations and geometry is extremely important and will be emphasized throughout the course.

2. You should learn how to use these computational techniques to solve applied problems (often guided by geometric insight).

3. You should develop an understanding of the theory of Calculus. The more you understand this theoretical structure, the clearer the overall picture of Calculus will be.

**Absences/Tardiness**:

If a student is absent (excused) for only one class meeting, then upon return, the student is expected to submit any work that was due during the absence. If a test or exam was missed, the student is expected to take the test or exam on the day of return. If a student misses two or more consecutive class meetings, then the student should talk to the instructor on the day of return to devise a plan to catch up. For planned absences (e.g., college visits, conference attendance, etc.), the student should discuss the plan with the instructor ** in advance**. Failure to do so will result in an unexcused absence. For any unexcused absence, homework will not be accepted late and test or exam grades will be lowered by 10 points per day (counted from the scheduled test/exam date until the day the test/exam is taken).

Otherwise, late homework will be penalized as follows:

· Late on due date -- 10% off

· Next school day -- 25% off

· Two school days after due date -- 50% off

· Three or more school days after due date -- 100% off

You are expected to be in class on time; this is especially important because the structured portion of this class is short. Please try to be a couple of minutes early and be settled-in so the class-time can be used productively. During the semester, your first two tardies will be excused; for each additional tardy, 1/2 point will be deducted from your overall semester average.

**Honor Code**:

Students are required to pledge all work that they turn in for a grade. Please refer to the CVGS Student Handbook for complete requirements.