Mar 25, 2019  
2017-2018 Catalog 
2017-2018 Catalog [ARCHIVED CATALOG]

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MATH& 151 - Calculus I

5 Credits
Differential Calculus. Topics include limits and derivatives, with an emphasis on the calculation and application of derivatives for algebraic, trigonometric, exponential, and logarithmic functions. Concludes with an introduction to antiderivatives.

Pre-requisite(s) MATH& 142 min 2.0
Placement Eligibility Math 151
Course Note Graphing Calculator Required; TI-84 recommended

Designed to Serve Transfer students in mathematics, engineering, and the sciences
Active Date 2016-05-04

Grading System Decimal Grade
Class Limit 32
Contact Hours: Lecture 55 Lab 0 Worksite 0 Clinical 0 Other 0
Total Contact Hours 55
Degree Distributions: AA Quantitative Skills, Science ProfTech Computation
Course Outline
â?¢ Limits: Limits, continuity, L’Hospital’s Rule, and indeterminant forms
â?¢ Derivatives: algebraic, trigonometric, inverse trigonometric, exponential, logarithmic, and higher derivatives. Also logarithmic and implicit differentiation
â?¢ Curve sketching using the techniques of calculus
â?¢ Introduction to antiderivatives
â?¢ Applications: finding extrema, optimization problems, and related rates
â?¢ Numerical methods: differentials and Newton’s method
â?¢ Important theorems: the Mean Value Theorem, Extreme Value Theorem, and Intermediate Value Theorem

Student Learning Outcomes
Evaluate limits and determine the continuity of a function

Apply the definition of the derivative to calculate derivatives

Determine derivatives using the derivative formulas

Graph functions using calculus

Solve optimization, related rates, and other applications

Find elementary antiderivatives

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