Practice Final Exam. Picture files: 1, 2, 3, 4.
Some pictures of direction fields: try to figure out the differential equation!
Office Hours: 11 AM-noon on Mondays and Wednesday, and 2-3 PM on Fridays in Evans 897, plus appointments.
Special Office Hours: May 11, 1-3 PM.
Head TA: Crystal Hoyt, Evans 1066
Office hours: Tu 9:30-10:30 AM, W 9-10 AM.
Class meetings: The main lectures are 8-9 AM in room 155 DWINELLE. There are in addition 12 discussion sections meeting MWF:
Section | Time (MWF) | Location | Teaching Assistant | e-mail address |
101 | 9-10 | 3109 ETCHEVERRY | J. Goodrick | goodrick@math.berkeley.edu |
102 | 11-12 | 4 EVANS | J. Ramakrishnan | janak@math.berkeley.edu |
103 | 9-10 | 9 EVANS | J. Ramakrishnan | janak@math.berkeley.edu |
104 | 10-11 | 81 EVANS | I. Sammis | isammis@math.berkeley.edu |
105 | 11-12 | 81 EVANS | J. Morton | jmorton@math.berkeley.edu |
106 | 12-1 | 71 EVANS | J. Goodrick | goodrick@math.berkeley.edu |
107 | 12-1 | 87 EVANS | A. Prat-Waldron | aprat@math.berkeley.edu |
108 | 1-2 | 81 EVANS | L. Stovall | betsy@math.berkeley.edu |
109 | 1-2 | 5 EVANS | J. Morton | jmorton@math.berkeley.edu |
110 | 2-3 | 81 EVANS | I. Sammis | isammis@math.berkeley.edu |
113 | 4-5 | 81 EVANS | L. Stovall | betsy@math.berkeley.edu |
115 | 10-12 | 4 STEPHENS | S. Viswanath | svis@math.berkeley.edu |
Text: J. Steward, Calculus (Early Transcendentals), 5th edition.
Material | Number of Lectures |
Introduction, Techniques of Integration | 11 |
Sequences and Series | 8 |
Power Series and Approximation of Functions | 6 |
First Order Differential Equations | 5 |
Second Order Linear Differential Equations | 8 |
Reviews | 3 |
Total | 42 |
Exam | Date | Material covered |
Midterm # 1 | March 10 | Lectures 1-19 |
Midterm # 2 | April 16 | Lectures 22-32 |
Final Exam | May 14, 8-11 AM | All Lectures with 33-42 emphasized |
Work | Percentage of final grade |
Homework and Quizzes | 20 % |
Midterm #1 | 20 % |
Midterm #2 | 20 % |
Final Exam 20 | 40 % |
Grades will be computed in the following way. You will be given a letter grade ( or , if appropriate) for each item of work above and we will later combine these grades as indicated in the table to obtain the final grade for the course. The TAs will lastly identify borderline cases, for which we will carefully look at the numerical grades on the various tests to determine the grade.
If you do not take Midterm #1, Midterm # 2 will count for 40 % of your grade. If you take Midterm #1 but not Midterm #2, the Final Exam will count for 60 % of your grade. If you take neither Midterm #1 nor Midterm #2, you will fail the course. Consequently, please mark them in your calendars.
Homework and Quizzes: There will be a weekly quizz given each
Wednesday in sections. There will be no make-up quizzes, but we
will drop the two lowest quiz scores in computing your grade. Homework
from main lecture on Monday is due on Wednesday in sections; homework from the
main lectures on Wednesday and Friday is due on Monday in sections.
The homework will be graded ``pass/fail''.
Date | Topic | Homework | |
* | Jan 19 | Martin Luther King Holiday | no class! |
1 | Jan 21 | Introduction | 5.3:2,5,10, 5.4:4,56 |
2 | Jan 23 | Integration: basic techniques | 5.4:29,32,40, 7.1:4,10,30,46,64 |
3 | Jan 26 | Methods of Integration I | 7.2:2,6,23,27,46,48,55 |
4 | Jan 28 | Methods of Integration II | 7.3:6,14,29,30,31,32,38 |
5 | Jan 30 | Partial Fractions | 7.4:1,4,9,12,19,20,25,32,43,49 |
6 | Feb 2 | Rationalizing Substitutions | 7.5:1,2,8,20,33, |
7 | Feb 4 | Strategies/Using Tables | 7.6:1,3,12,24 |
8 | Feb 6 | Approximate Integration | 7.7:5,8,15,18, 21,22,39,31,35 |
9 | Feb 9 | Improper Integrals | 7.8:3,11,13,21,55,59,61 |
10 | Feb 11 | Arc length | 8.1:1,9,13,30,31,34 |
11 | Feb 13 | Area of Surfaces of Revolution | 8.2:1,3,7,9,25,27 |
* | Feb 16 | President's Day Holiday | no class! |
12 | Feb 18 | Sequences and Limits | 11.1:4,6,11,13,18,22,26,49 |
13 | Feb 20 | Infinite Series | 11.2:2,3,5,13,15,18 |
14 | Feb 23 | More on Series | 11.2:27,32,34,41,46,49,50 |
15 | Feb 25 | Integral Test | 11.3:1,3,5,8,9,13,15,16,33 |
16 | Feb 27 | Comparison Test | 11.4:2,10,11,20,28,32,39,45 |
17 | Mar 1 | Alternating Series | 11.5:2,4,6,14,16,23,25,27 |
18 | Mar 3 | Ratio and Root Tests | 11.6:4,7,8,16,23,25,27 |
19 | Mar 5 | Strategies for studying series | 11.7:2,5,8,13,14,17,19,28,39 |
20 | Mar 8 | Review | |
21 | Mar 10 | Midterm #1 | covers Lectures 1-19 |
22 | Mar 12 | Power Series | 11.8:3,5,8,9,13,14,15,20 |
23 | Mar 15 | Power Series II | 11.8:29,31,33a,34a |
24 | Mar 17 | Taylor Series | 11.9:1,3,5,9,13,34,35,39 |
25 | Mar 19 | Taylor Series II | 11.10:3,9,14,21,27,37,53,58 |
26 | Mar 29 | Binomial Series | 11.11:1,2,7,13,17,19 |
27 | Mar 31 | Approximation by Polynomials | 11.12:25,26,31 |
28 | Apr 2 | Introduction to Differential Equations | 9.1:1,2,3,10,11 |
29 | Apr 5 | Direction Fields | 9.2:1,3,4,5,6,10 |
30 | Apr 7 | Separable Equations | 9.3:1,3,6,9,11,13,31 |
31 | Apr 9 | Exponential and Logistic Growth | 9.4:1,3,7,9, 9.5:3,7 |
32 | Apr 12 | Linear Equations | 9.6:5,8,15,17,29 |
33 | Apr 14 | Predator-Prey Systems | 9.7:1,2 |
34 | Apr 16 | Midterm #2 | covers Lectures 22-32 |
35 | Apr 19 | Second Order ODEs | 17.1:1,2,6,9,17,19 |
36 | Apr 21 | Second Order ODEs II | 17.1:21,24,25,30,33 |
37 | Apr 23 | Non-homogeneous Equations | 17.2:1,2,3,7,10 |
38 | Apr 26 | Non-homogeneous Equations II | 17.2:13,14,15,17,21,22 |
39 | Apr 28 | Oscillation and Damping | 17.3:1,2,3 |
40 | Apr 30 | Oscillation and Damping II | 17.3:9,10,11,13 |
41 | May 3 | Series Solutions | 17.4:1,2,3,4,5 |
42 | May 5 | Series Solutions II | 17.4:8,9,10,11,12a |
43 | May 7 | Review | |
44 | May 10 | Review II |