Department of Mathematical and Computer Sciences
Mathematics 253,
Section 01, Calculus and Analytical
Geometry I
Fall 2005
| Announcements |
Welcome to this course!
| Course Information |
Please see course Syllabus.
| Handouts |
In the following, you will find the handouts of this course. I try to make the tutorial and test questions and solutions available as soon as possible. (Unfortunately, this is often not until shortly after each tutorial.)
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Date |
Questions |
Solutions |
| Sept 16 | Tutorial 1 | |
| Sept 23 | Tutorial 2 | |
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| Lectures Schedule and Homework |
See here a running list of topics covered in class. All problems listed in blocks are ＾odd numbers only￣ unless specified - expect changes as the semester progresses. Try to complete the problem sets listed using the examples in the book, even though we may not have had enough time to discuss the entire section during the previous class period. We will look at questions you have on these homework problems. Reminder: I have carefully picked a variety of problems from the complete list of problems in each section, so do not assume you only need to do part of what was listed, because you could do the first few successfully.
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Date |
Topic |
Homework |
| Sept 6 | Introduction | |
| Sept 7 | 1.1 Four ways to represent functions | PP22: 1, 5--8, 21, 23, 25, 33,
39, 41, 47, 49, 53 |
| Sept 8 | 1.2 A catalog of functions | PP35: 1, 3, 5, 9, 11, 13 |
| Sept 9 | 1.3 New functions from old functions | PP45: 1, 3, 5(a)(c), 9, 11,
31, 33, 35, 37, 39, 42 |
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| Sept 12 | 1.3 New functions from old functions | PP47: Q31, Q33, Q35, Q37, Q39, Q42 |
| Sept 13 | 1.5 Exponential functions. | PP62: Q1, Q5, Q9, Q11, Q13, Q19 pp74 Q1,Q3,Q9, Q17, Q19, Q20 |
| Sept 14 | 1.6 Inverse Functions | PP74: Q23, Q24, Q25,
Q27, Q31, Q33, |
| Sept 15 | 1.7 Exponential functions. Inverse Functions.Logarithmic Functions. | PP74 Q1,Q3,Q9, Q17, Q19, Q20, Q23, Q24, Q25, Q27, Q31, Q33, Q35, Q36, Q37, Q38, Q40, Q42 (a) |
| Sept 16 | Tutorial 1 | |
| Sept 19 | 1.7 Exponential functions. Inverse Functions.Logarithmic Functions. | PP74 Q49, Q51, Q63, Q65, Q67, Q69, Q71 |
| Sept 20 | 2.1 Inverse trigonometric functions. Tangent problems. | PP91 Q3, Q4,Q5 |
| Sept 21 | 2.2 The limit of a function | PP102 Q2, Q4, Q5, Q12, Q13, Q15, Q19, Q23, Q25, Q33 |
| Sept 22 | 2.3 Limit Laws | PP111 Q1, Q3, Q5, Q8, Q10, Q13, Q15, Q18, Q20, Q23, Q25 |
| Sept 23 | Tutorial 2 | |