EO170 - Calculus I - Eng. Outreach
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Course Description:
Math 170 Analytic Geometry and Calculus I (4 cr). This course is the first part of a three-part Calculus series.  Among other things, this first semester covers limits, continuity, differentiation and integration of functions, and applications of both differentiation and integration. Primarily for students in engineering, mathematics, science or computer science.

Prerequisites:  

One of the following: a) Math 143 and Math 144, b) Math 143 and sufficiently high score on COMPASS Trig Test, or c) 2 yrs high school algebra and 1 yr plane geometry and ½ yr analytic trigonometry and sufficiently high score on SAT, ACT, or COMPASS Math Tests (College Algebra and Trigonometry). (Concurrent enrollment in 170 and 144 is permitted with permission of the department).

Textbook
Thomas' Calculus by Weir, Hass, Giordano, 11th edition

Course Outline by Topical Areas:
Limits  
Continuity
Definition of the derivative and differentiability  
Differentiation formulas and the chain rule
Implicit differentiation
Related Rates
Linearization  
Properties of graphs and sketching graphs 
Optimization
Newton's method  
Antiderivatives
Areas and the definite integral  
The Fundamental Theorem of Calculus
Indefinite integrals and u-substitution
Area
Volume
Inverse functions
Exponential and logarithmic functions
L'Hospital's Rule