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| Course ID: | MATH 2250. 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 2250E, MATH 2200, MATH 2300H, MATH 2400H, MATH 2400 | | Prerequisite: | MATH 1113 or permission of department | Semester Course
Offered: | Offered fall, spring and summer semester every year. | | Grading System: | A-F (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, anti-differentiation,
Fundamental Theorem of calculus. Areas between curves and some
techniques of integration. | |
Syllabus:
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