Calculus 1: Math 1300 - All Sections
Tentative Schedule and Homework Assignments
A tentative schedule, including homework assignments, is listed below. It is subject to change and will be updated weekly. Solutions to the underlined problems should go at the beginning of your homework. The remaining problems should follow the underlined problems. Unless stated otherwise, all homework is due the class session following the session it is assigned. Note that QC stands for Quick Check. The Quick Check problems come before the ordinary exercises. Solutions to the underlined problems as well as solutions to the thursday homework worksheets can be obtained by clicking here, however the solutions will only be available
after the homework (for all sections) has been collected.
| Week 1: Introduction to Functions (8.25.08 - 8.29.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Introduction to course and definition of a function |
1 | 1.1 |
1, 3, 7, 8, 16, 20, 25, 32 |
| Tuesday | Composition of two functions |
2 | 1.3 |
1, 19, 25, 35, 36, 42, 66, 71 |
| Wednesday | Inverse functions |
3 | 1.5 |
1, 7ab, 9, 15, 22, 24, 27a, 30 |
| Thursday | Recitation: worksheet 1 |
4 | - |
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| Friday | The function f(x)=bx and its inverse function for b a positive integer |
5 | 1.6 |
2, 5, 13, 17, 22, 43abc, 45 |
| Week 2: Limits (9.1.08 - 9.5.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | No Classes (Labor Day) |
- | - |
|
| Tuesday | More on exponential functions, including f(x)=bx |
6 | 1.6 |
6, 9, 12, 19, 29, 31, 33, 35 |
| Wednesday | Limits of values of functions |
7 | 2.1 |
1, 3, 4, 6, 7, 11, 22abc, 24 |
| Thursday | Recitation: worksheet 2 |
8 | - |
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| Friday | Computing limits |
9 | 2.2 |
1abcde, 2ac, 5, 7, 31, 34, 37, 40 |
| Week 3: Limits continued (9.8.08 - 9.12.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Limits involving infinity |
10 | 2.3 |
7, 11, 15, 20, 32, 33, 43, 49 |
| Tuesday | Continuity |
11 | 2.5 |
1, 10, 11, 17, 24, 27, 28, 43 |
| Wednesday | Trig. funcitons |
12 | Apx. A |
1ab, 3ab, 5, 8, 13, 15abc, 20, 31 |
| Thursday | Recitation: worksheet 3 |
13 | - |
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| Friday | Trig. functions continued |
14 | 2.6 |
7, 17, 21, 24, 29, 30, 37, 45 |
| Week 4: Derivatives (9.15.08 - 9.19.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Slope of a tangent line as a limit (including equations of lines) |
15 | 3.1 |
QC: 1, 2; Exercises: 13, 14, 15, 16 |
| Tuesday | Catch-up and Review |
- | - |
|
| Wednesday | Review and Midterm Exam 1 at 5:15-6:45 pm |
- | - |
|
| Thursday | Recitation: worksheet 4 |
16 | - |
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| Friday | Instantaneous rates of change and velocity |
17 | 3.1 |
4, 5, 9, 11, 12, 15, 17, 22 |
| Week 5: Derivatives continued (9.22.08 - 9.26.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Derivative of a function part 1 |
18 | 3.2 |
2, 3, 5, 6, 11, 13, 23 |
| Tuesday | Derivative of a function part 2 |
19 | 3.2 |
15, 25, 26, 29, 41, 43, 44 |
| Wednesday | Techniques of differentiation |
20 | 3.3 |
3, 4, 6, 8, 9, 10, 12, 13, 18, 37, 42, 51 |
| Thursday | Recitation: worksheet 5 |
21 | - |
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| Friday | The product and quotient rules |
22 | 3.4 |
3, 4, 15, 19, 21, 25, 28, 30 |
| Week 6: Derivatives continued (9.29.08 - 10.03.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Derivatives of trig. functions |
23 | 3.5 |
1, 5, 9, 11, 23, 27, 29, 31 |
| Tuesday | Chain rule |
24 | 3.6 |
1, 3, 7, 15, 23, 26, 31, 38, 43, 69 |
| Wednesday | Introduction to related rates (Due Mon. 10.06.08) |
25 | 3.7 |
4, 5, 13, 17, 19, 24, 25, 32, 45 |
| Thursday | Recitation: worksheet 6 (Due Fri. 10.03.08) |
26 | - |
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| Friday | More on related rates or catch-up |
- | - |
|
| Week 7: More on derivatives and L'Hôpital's rule (10.06.08 - 10.10.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Implicit differentiation |
27 | 4.1 |
1, 9, 11, 17, 21, 27, 29, 33, 41, 50 |
| Tuesday | Derivatives of log functions |
28 | 4.2 |
7, 11, 12, 15, 22, 23, 27, 33, 42 |
| Wednesday | Derivatives of exponential and inverse trig. functions |
29 | 4.3 |
13, 15, 21, 28, 29, 35, 39, 40, 43, 51 |
| Thursday | Recitation: worksheet 7 |
30 | - |
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| Friday | L'Hôpital's rule and indeterminate forms (part 1) |
31 | 4.4 |
5, 9, 11, 14, 15, 16, 17, 39 |
| Week 8: More on L'Hôpital's rule and analysis of functions (10.13.08 - 10.17.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | L'Hôpital's rule and indeterminate forms (part 2) |
32 | 4.4 |
19, 26, 27, 33, 34, 49, 50, 51 |
| Tuesday | Catch-up or review for Exam 2 |
- | - |
|
| Wednesday | Review and Midterm Exam 2 at 5:15-6:45 pm |
- | - |
|
| Thursday | Recitation: worksheet 8 |
33 | - |
Turn in problems 5 and 6 from Worksheet 8 |
| Friday | Analysis of functions I: increasing, decrease |
34 | 5.1 |
QC: 1ab, 2ab, 3a;
Exercises: 6, 13, 16, 25, 26 53ab
(For 13, 16, 25, 26 just find intervals of increasing and decreasing.) |
| Week 9: Analysis of functions (10.20.08 - 10.24.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Analysis of functions I: concavity and inflection points |
35 | 5.1 |
1, 2, 7, 21, 38, 54, 57, 63 |
| Tuesday | Analysis of functions II: relative max/min using 1st derivative test |
36 | 5.2 |
1, 5(a)(c), 8, 11, 16, 19, 23, 75 |
| Wednesday | Analysis of functions II: relative max/min using 2nd derivative test |
37 | 5.2 |
6, 13, 14, 18, 27, 32, 37, 38 |
| Thursday | Recitation: worksheet 9 |
38 | - |
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| Friday | Curve sketching |
39 | 5.3 |
1, 2, 8, 10, 11, 13, 19, 23 |
| Week 10: More on curve sketching and applied max. and min. (10.27.08 - 10.31.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | More on curve sketching (cusps and vertical tangent lines) |
40 | 5.3 |
25, 26, 27, 32, 35, 44, 53 |
| Tuesday | Absolute maxima and minima |
41 | 5.4 |
3, 8, 10, 11, 19, 23, 43, 45 |
| Wednesday | Applied max. and min. problems (part 1) |
42 | 5.5 |
1, 3, 5, 9, 17, 19, 33, 35 |
| Thursday | Recitation: worksheet 10 |
43 | - |
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| Friday | Applied max. and min. problems (part 2) |
44 | 5.5 |
38, 49, 56, 57, 58 |
| Week 11: Mean Value Theorem and introduction to antiderivatives (11.03.08 - 11.07.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Rolle's Theorem and the Mean Talue Theorem |
45 | 5.7 |
1, 4, 7, 10, 13ab, 15, 19, 21 |
| Tuesday | Applications of the MVT |
46 | 5.7 |
14abc, 23, 24, 31, 35, 41 |
| Wednesday | Area |
47 | 6.1 |
1, 2, 9, 15, 17, 19, 21, 23 (For 1, 2, 9 use the antiderivative method to find the area under each graph on the indicated interval.) |
| Thursday | Recitation: worksheet 11 |
48 | - |
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| Friday | Introduction to integration |
49 | 6.2 |
1ab, 3, 5, 10abc, 12, 15, 20, 23, 25 |
| Week 12: More on indefinite integrals (11.10.08 - 11.14.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Integration using substitution |
50 | 6.3 |
1, 9, 10, 15, 21, 28, 29, 47, 55 |
| Tuesday | Catch-up or review for Exam 3 |
- | - |
|
| Wednesday | Review and Midterm Exam 3 at 5:15-6:45 pm |
- | - |
|
| Thursday | Recitation: worksheet 12 |
51 | - |
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| Friday | Sigma notation |
52 | 6.4 |
1, 3, 7, 11, 15, 17, 20, 23 |
| Week 13: Definite integrals (11.17.08 - 11.21.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Area as a limit part 1 |
- | 6.4 |
|
| Tuesday | Area as a limit part 2 |
53 | 6.4 |
29, 30, 31, 39, 43, 47, 53, 59 |
| Wednesday | Definite integrals |
54 | 6.5 |
QC: 3, 4 Exercises: 4, 11, 15, 24, 27, 35 |
| Thursday | Recitation: worksheet 13 |
55 | - |
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| Friday | Fundamental theorem of calculus part 1 |
56 | 6.6 |
2, 11, 14, 23, 26, 40, 41, 46 |
| Week 14: Fall Break (11.24.08 - 11.28.08) - NO CLASSES |
| Week 15: Fundamental theorem of calculus and applications (12.01.08 - 12.05.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Fundamental theorem of calculus part 2 |
57 | 6.6 |
3, 54, 57, 58, 59, 61, 63, 65 |
| Tuesday | Evaluating definite integrals by substitution |
58 | 6.8 |
31, 33, 35, 36, 44, 45, 47, 57 |
| Wednesday | Area between two curves |
59 | 7.1 |
1, 3, 5, 9, 11, 13, 14, 16 |
| Thursday | Recitation: worksheet 14 |
60 | - |
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| Friday | Volumes by washers |
61 | 7.2 |
1, 3, 8, 9, 13, 19, 35, 36 |
| Week 16: More on volumes and review (12.08.08 - 12.12.08) |
| Day | Topic | HW | Section | Assignment |
| Monday | Volumes by cylindrical shells |
62 | 7.3 |
1, 3, 5, 11, 15, 23, 25, 27 |
| Tuesday | More on volumes if necessary |
- | - |
|
| Wednesday | Review |
- | - |
|
| Thursday | Recitation |
- | - |
|
| Friday | Review |
- | - |
|