MATH 2250 (Chastkofsky) FALL 2009
Calculus I for Science and Engineering
Homework
Text: Hass, Weir, and Thomas, University Calculus
Chapter 2: Limits and Continuity
2.1 Rates of Change and Tangents to Curves
§2.1: #1, 11, 12, 13,14,15, 19
2.2 Limit of a Function and Limit Laws
§2.2: #1, 2, 3, 5, 6, 13, 19, 21, 22, 25, 27, 29, 34, 35, 36, 39,
42, 49, 57, 64, 65, 85
2.4 One sided limits and limits at infinity
§2.4: #1, 3, 7, 37, 39, 51 ,52, 53
2.5 Infinite limits and vertical asymptotes
§2.5: #1, 3, 5, 17, 19, 27 ,29, 31
2.6 Continuity
§2.6: #1, 3, 5, 13, 15
2.7 Tangents and derivatives at a point
§2.7: #5, 7, 9, 13, 14, 17, 25, 27, 29
3.1 The derivative as a function
§3.1: #3, 7, 9, 11, 13
3.2 Differentiation rules
§3.2: #3, 7, 9,11, 13, 15, 17, 19 21, 23, 25, 27, 29, 33,35, 37, 39,41,43,45
3.3 Derivative as a rate of chenge
§3.3: #5, 7, 9,11, 13
3.4 Derivativesof Trignometric Functions
§3.4: #1, 3, 5, 7, 9,11, 13,15,17,19,21,23,31,33
3.5 The Chain Rule
§3.5: #23,25,27,29,31,33,35,37,39,41,95, 97,{101,103}(only dy/dx),111,113,121,122
3.6 Implicit Differentiation
§3.6: #1,3,5,7,9,11,29,31,40,41,42,43,44
3.7 Derivatives of Logarithms
§3.7: #11,13,15,17,19,21,23,,25,27,29,31,33,55,67,69,71
3.8 Inverse Trig Functions
§3.8: #1,3,13,15,23,24,41,48,65,67,68
3.9 Related Rates
§3.9: #13,15,17,18,19,23,24,30,36
3.10 Linearization
§3.10: #1-6,15-17
4.1 Extreme Values
§4.1: #17,19,21,25,31,33,41,43,45,47,49,51,77,79
4.2 Mean Value Theorem
§4.2: #1,3,27,29
4.3 First Derivative Test
§4.3: #11,13,17,19,21,23,25,27,29,31
4.4 Concavity
§4.4: #13,15,17,19,21,23,25,27,29,31,33,35,93
4.5 Applied max-min
§4.5: #4,5,7,14,15,19,32,33,40
4.6 L'Hopital's Rule
§4.6: #1,3,5,9,11,15,21,23,37,41,43,45,47,49,51,53,55,57
4.7 Newton's Method
§4.7: #1,3,5,9,13,15,19,21,23
4.8 Antiderivatives
§4.8: #3,5,7,9,11,13,19,23,25,27,37,39,41,91,93,95,119,121
5.1 Estimating with finite sums
§5.1: #1,5
5.2 Riemann sums
§5.2: #1,3,7,11,13,35,36,37,38,39.
Also, use Riemann sums to find the definite integral from 0 to 1 of x^3 dx
5.3 The definite integral
§5.3: #27,31,39