MTH 175
Office hours: 8-9 Monday and Wednesday, 3:15-4:00 Tuesday and Thursday, and by appointment. Room 1024 Cowley Hall.
Handouts:
Syllabus
College Algebra Review
Proficiency 1a Solutions
Exam 1 Key
Proficiency 2a Solutions
Homework
Quiz 2 Solution
Proficiency 3b Solutions
Solutions to Review Questions
Text: Calculus for Business, Economics, Life Sciences, and Social Sciences, 10th ed by Barnett et al.
Homework:
Week 1:
REVIEW.
This material is covered in the prerequisite courses and you’re expected to be
able to do the problems from Chapter 1 and Chapter 2 (and Appendix A, if
necessary) by the end of the first week of class.
Appendix A:
If you have difficulties with problems on the college algebra review handout on
day 1, you need to think about whether you should be in MTH 175. Appendix A has
a review for topics that have momentarily escaped your memory, but if you are
really struggling with all of these topics, please see me as soon as possible.
Chapter 1:
Read pages 68-69 and work the following problems on page 70: 1-7, 9, 11, 17,
21-27, 29, 31, 39, 41, 46, 48a-d.
Chapter 2:
Read page 122 and work the following problems on page 123: 1-13, Graph 16 and 17
by hand being sure to identify all roots and asymptotes, 19-25, 27, 29, 31, 33,
40-45, Graph without a calculator 48 and 50, 52-55, 59, 61, 67, 69.
Weekly quiz is a Proficiency
Exam and will cover this review material on Thursday. Re-takes can be
taken through Friday, February 7.
All homework is divided into 4 sections: A, B, C, and Applications. Problems from A are basic and they get progressively harder in parts B and C. The applications are ``story’’ problems which are not any harder *if* you can translate them from the words to a more familiar algebraic setting. Quiz and test questions will usually come from parts B, C and Applications, but be sure you can do the A questions from each section before trying the others. Feel free to do any of the even-numbered problems and come in and check your answers in the solution manual!
Chapter 3 The Derivative
3.1
Limits: A 39 41 43-67(odd) 71
3.2
Continuity: A 25-35(odd) 41 45 49-53(odd) 59-67(odd) 71 75 77 79
3.3
The Derivative: A 27 29 31-38 39-53(odd) 57-63(odd) 67 **These are all really
important!**
3.4
Rules I: A 25-55(odd) 65 66 67 68 71 73 79 81 83 87 89
3.5
Rules II:A 27-57(odd) 65 69 71 p. 322: 9, 11, 15, 31; p. 333:
9, 27, 30
3.6
Chain Rule:A 25-31 37 39 43-55(odd) 63-71(odd) 75 79 81
3.7
Marginal Analysis:1-17(odd)
5.2
Exponentials: A 15-37(odd)
5.3
Logarithms: A 9-37(odd) 39 40
Chapter 4 Graphing and
Optimization
4.1
Analysis of f’(x): A 19-31(odd) 39-53(odd) 55-60 61-71(odd) 75 79 81 85 89 95
4.2
Analysis of f’’(x): A 29-45(odd) 55-65(odd) 71 73
4.3
Rational functions: A 23 27 33 37 41 45 47 49 51 61 63 69-81(odd)
4.4
Absolute extrema: A 29 31 37 41 43 47-53(odd); 5.2: 39 41 43 47; 5.3:
41 45 49 51 53
4.5
Optimization: 1 3 5 11 13 17 19-39(odd); 5.2: 57 59 67; 5.3: 69 71
77 81
Exam 2
Graphing Functions
Optimization
Review problems:
Chapter 4: 9-39(odd) 33,35, 36, 39, 43, 44
Chapter 5: 9, 27, 28, 31, 32,43, 44, 45, 47
3-24: p. 243: 93-95; p. 256:
43-46, 65, 67, 71, 73; p. 271: 11-14, 63, 67, 79
p. 281: 23; p. 296: 39; p. 301: 35, 39; p. 335: 69. 70
5.4
Elasticity: A 11 15-27(odd) 47 49 51
Chapter 6
Integration
6.1
Antidifferentiation: A 33-39(odd) 43-47(odd) 53-67(odd) 71-91(odd) 95 101 103
109 111
6.2
Substitution: A 13-39(odd) 41-46 47-63(odd) 67 69 71 75 78
6.3
Diff Eqn: A 15-25 (odd) 47 49 51 55
6.4
Definite Integrals: 1-6 9 11 13 17-33(odd) 43 55(No error bound) 59(no bound)
6.5
FTC: A 23-39(odd) 41a 43a 49-54 63 69 77 79 81