

Course ID:  MATH 2250E. 4 hours. 
Course Title:  Calculus I for Science and Engineering 
Course Description:  Limits, derivatives, differentiation of algebraic and
transcendental functions; linear approximation, curve sketching,
optimization, indeterminate forms. The integral, Fundamental
Theorem of Calculus, areas. Emphasis on science and engineering
applications. 
Oasis Title:  Calculus I for Sci and Eng 
Duplicate Credit:  Not open to students with credit in MATH 2200, MATH 2250, MATH 2300H, MATH 2400, MATH 2400H 
Nontraditional Format:  This course will be taught 95% or more online. 
Prerequisite:  MATH 1113 or permission of department 
Semester Course Offered:  Offered summer semester every year. 
Grading System:  AF (Traditional) 

Course Objectives:  The student will understand the limit and the derivative both
conceptually and operationally. The student will learn how to
use calculus concepts to model and solve various typical
problems in science and engineering, with particular emphasis
on graphs, optimization problems, and basic integration
problems.
The student will learn to set up word problems clearly and
concisely and to provide clear solutions. 
Topical Outline:  1. Functions, rates of change, limits.
2. Differentiation rules: polynomials and transcendental
functions, sum, product and quotient rules, chain rule, implicit
differentiation; inverse functions.
3. Applications of differentiation: linear approximation,
Newton's method, curve sketching and convexity, optimization
problems, related rate problems, L'Hospital's rule.
4. The integral and summation notation, antidifferentiation,
Fundamental Theorem of calculus. Areas between curves and some
techniques of integration. 