Catalog Description:

Antiderivatives and the Fundamental Theorem of Calculus; distance, velocity, and acceleration; the definite integral; uses of integrals and representations of functions; distribution and density functions; Taylor polynomials and infinite series. Emphasis is on problem-solving, collaborative work, computer exploration, writing.

Prerequisite:

MATH 201 or permission of the instructor. Students who did not complete MATH 201 at Hood must enroll in MATH 200L Calculus Workshop concurrently.

Credits:

4

Offered:

Both semesters - Offered by the Department of Mathematics

Required or Elective:

Required for the BS in Computer Science

Level:

Intermediate

Coordinator:

James Parson

Current Textbook:

Calculus: Modeling and Application (electronic text), by David A. Smith and Lawrence C. Moore. Mathematical Association of America.

Topics covered:

Antiderivatives and the Fundamental Theorem of Calculus; distance, velocity, and acceleration; the definite integral; uses of integrals and representations of functions; distribution and density functions; Taylor polynomials and infinite series.

Student Learning Outcomes:

On completing this course, the student will be able to:

- use a divide-and-conquer strategy to formulate problems in terms of definite integrals;
- evaluate definite integrals numerically and formally, by computer and by hand;
- use and give an intuitive explanation of both parts of the Fundamental Theorem of Calculus;
- understand and use the idea of approximating functions with Taylor polynomials;
- understand, compute, and use improper integrals in the contexts of -series and continuous probability distributions;
- determine whether or not an infinite series converges;
- use the skills listed above to solve simple problems involving probability;
- use the computer to solve problems in integral calculus; and
- write and talk about mathematics.

Relation of Course Outcomes to Program Outcomes:

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Role in Assessment:

See the pages "BSCS Course Matrix" and "BSCS Courses for Assessment"

Current syllabus: