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Mathematics 1B - Calculus


Professor M. Zworski
643-7991
zworski@math.berkeley.edu


Practice Midterm 1.

Second Practice Midterm 1.

Practice Midterm 2.

Second Practice Midterm 2.

NEW! Practice Final Exam. Picture files: 1, 2, 3, 4.

NEW! 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.

NEW! 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 Assistante-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.


Overview


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

Tests


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


Grades


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''.


ASSIGNMENTS


  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  




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Next: About this document ...
Maciej Zworski 2004-01-07