Course Description

Honors differential calculus and applications, including optimization and related rate problems, L'Hôpital's rule. Introduction to the integral, area between curves, antidifferentiation, and the fundamental theorem of calculus.

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Athena Title

Differential Calculus (Honors)

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Prerequisite

(MATH 1113 or MATH 1113E) and permission of Honors

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Semester Course Offered

Not offered on a regular basis.

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Grading System

A - F (Traditional)

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Student Learning Outcomes

• The student will be expected to gain computational skill with calculus concepts and do a significant amount of problem solving.
• The clear and careful exposition of word problems will be quite important.
• The honors student in this class will be expected to tackle and solve somewhat more challenging problems than appear in the non-honors equivalent.

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Topical Outline

• Overview of calculus
• The limit concept, properties, and continuity
• The derivative: the derivative, rules, derivatives of trigonometric, logarithmic, and exponential functions
• Applications of the derivative: maximum/minimum problems, related rates, and the derivative as best linear approximation
• Mean Value Theorem and applications, interpretation of first and second derivatives, curve sketching, L'Hôpital's Rule
• The integral, area under curves, Fundamental Theorem of Calculus, and applications

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General Education Core

CORE I: Foundation
CORE III: Quantitative Reasoning

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