MATH 201 Calculus I

Catalog Description: 
Relationships, functions, rates of change, initial value problems, derivatives of functions of one variable, numerical solutions, applications. Emphasis is on: problem solving, collaborative work, computer exploration, writing.
Prerequisite: 
MATH 120 or Level III placement on Basic Math Skills Inventory.
Credits: 
4
Offered: 
Both semesters - Offered by the Department of Mathematics
Required or Elective: 
Required for the BS in Computer Science
Level: 
Foundation
Coordinator: 
Ann Stewart
Current Textbook: 
Calculus: Modeling and Application (electronic text), by David A. Smith and Lawrence C. Moore. Mathematical Association of America.
Topics covered: 
Relationships, functions, rates of change, initial value problems, derivatives of functions of one variable, numerical solutions, applications.
Student Learning Outcomes: 

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

  1. understand and use the concept of a function in a variety of representations, including tabulated data, graphs, and formulas
  2. understand the concept of derivative and its relationship to rates of change, including the connections with linear approximation, Newton’s Method, Euler’s Method, tangent lines, and instantaneous velocity
  3. formulate problems which involve rates of change as initial value problems
  4. solve initial value problems both numerically and formally, and explain and use the solutions
  5. differentiate functions with proficiency
  6. explain the relationship between data and theoretical models as a means of examining real world phenomena
  7. read and understand an article about mathematics at an appropriate level
  8. demonstrate a familiarity and facility with a computer as a tool for understanding mathematical concepts and as an environment for solving mathematical problems
  9. write reports using a technical word processor
Relation of Course Outcomes to Program Outcomes: 
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Role in Assessment: 
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