MATH 202 Calculus II

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:

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