Suggested Problems

I strongly encourage you to work all practice problems, but you do not have to submit them for grading.

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Section	Recommended Problems
2.1 The tangent and velocity problems.	2.1 #1, 3, 9.
2.2 The limit of a function.	2.2 #7, 10, 13, 17, 23, 27.
2.3 Limit laws.	2.3 #1, 2, 11, 23, 25, 35, 41.
2.5 Continuity	2.5 #3, 5, 23, 35, 43, 47
2.6 Tangents and velocity.	2.6 #1, 2, 7, 8, 15, 19.
3.1-3.2 Derivatives	3.1 #3, 5, 7, 11, 13, 15, 25, 29, 33;
3.2 The derivative as a function.	3.2 #4, 5, 9, 11, 15, 19, 23, 25, 33, 35;
3.3 Differentiation formulas.	3.3: #1-41 (odd), 51, 57, 59, 61, 67, 77, 79, 84, 87;
3.4 Rates of change in the sciences.	3.4: #7, 11, 17, 19, 21, 23, 25, 27, 31, 35;
3.5 Derivatives of trigonometric functions.	3.5: #1-15 (odd), 21, 23, 31, 37, 43;
3.6 The chain rule.	3.6: #1-33 (odd), 43, 51, 55, 57, 59, 65;
3.7 Implicit differentiation.	3.7: #7, 9, 21, 23, 27, 37, 41, 49;
3.8 Higher derivatives.	3.8: #1, 3, 7, 13, 19, 25, 39, 43, 45, 51, 57, 61;
3.9 Related rates.	3.9: #1, 7, 9, 11, 15, 23, 27, 29, 31;
3.10 Linear approximations and differentials.	3.10: #3, 5, 7, 15, 25, 31, 39, 41;
4.1 Maximum and minimum values.	4.1: #3, 5, 7, 11, 33, 37, 39, 43, 47, 51, 53, 55, 67;
4.2 The Mean Value Theorem.	4.2: #3, 5, 7, 11, 15, 17, 23, 25;
4.3 Derivatives and graphs.	4.3: #1, 5, 7, 11, 15, 19, 23, 27, 35, 47, 48;
4.4 Limits at infinity.	4.4: #3, 7-31 (odd), 43, 51, 65;
4.5 Curve sketching.	4.5: #5, 9, 13, 17, 21, 23, 37, 43, 47;
4.7 Optimization.	4.7: #7, 11, 15, 25, 29, 33, 43, 51, 61;
4.9 Newton's method.	4.9: #1, 3, 5, 11, 13, 29;
4.10 Antiderivatives.	4.10: #1-25 (odd), 39, 41, 47, 51, 53, 55;
5.1 Areas and distances.	5.1: #1, 3, 11, 13, 21;
5.2 The definite integral.	5.2: # 1, 5, 7, 17, 29, 33, 35, 41, 47;
5.3 The Fundamental Theorem of Calculus.	5.3: #3, 5, 11, 19-31 (odd), 47, 51;
5.4 The Net Change Theorem.	5.4: #1, 5-13 (odd), 17-31 (odd), 43, 47, 51, 59, 63;
5.5 The substitution rule.	5.5: #1, 3, 5, 11, 21, 27, 39, 45, 61;
6.1 Areas between curves.	6.1: #1, 5, 7, 27, 31, 40, 41;
6.2 Volumes by slicing.	6.2: #7, 9, 11, 33, 35, 45, 49, 55, 61;
6.4 Work done by a force	6.4: #1, 5, 7, 13, 15, 27, 29;
6.5 Average value of a function	6.5: #1, 7, 15, 17, 19;
7.1 Inverse functions.	7.1: #1, 3, 5, 9, 13, 15, 19, 23, 33, 35, 39, 43;
7.2 Exponential functions and their derivatives.	7.2: #1, 5, 13, 15, 17, 25, 27, 29-37 (odd), 45, 49, 57, 61, 63, 70, 73, 77, 81, 83, 85;
7.3 Logarithmic functions.	7.3: #1, 3, 9, 17, 23, 31, 47, 48, 51, 53, 55, 57, 61, 69, 72
7.4 Derivatives of logarithms.	7.4: #1, 3, 7, 11, 12, 13, 19, 25, 31, 33, 35, 43, 45, 51, 57, 65, 69, 71, 73, 79, 81;
7.5 Inverse trigonometric functions.	7.5: #1, 9, 27, 37, 39, 47, 49, 59, 61, 63, 69;

Last modified:
October 30, 2007

Citation: (course_default). (2007, October 30). Suggested Problems. Retrieved August 20, 2008, from University of Massachusetts Boston Web site: http://ocw.umb.edu/mathematics/math-140-calculus-i/m140-ocw/suggested-problems.html.