MATH 214-2
INTEGRAL CALCULUS

Miguel A. Lerma - Fall 2004

Section 61

MWF 12:00 noon - ANNEN G15
TH 12:00 noon - LUNT 104/107

http://www.math.northwestern.edu/~mlerma/courses/math214-2-04f/

This is the web page for MATH 214-2, section 61, Fall 2004
Consult it often for announcements, homework assignments and possible changes to the syllabus.


Index


Announcements


Course Description

Math 214-2 Calculus II

Definite integrals and areas, the Fundamental Theorems of Calculus, substitution, integration by parts, other methods of integration, numerical techniques, computation of volumes, arc length, average of a function, applications (to physics, engineering, and probability), separable differential equations, exponential growth, infinite series, and Taylor series.


Teachers

Instructor Teaching Assistants
Name Miguel A. Lerma Mike Greene Fang Wang
Office Lunt 203 B14 B22
Phone (847) 491-8020 (847) 467-1958 (847) 467-1956
E-mail mlerma at math dot northwestern dot edu mcg at math dot northwestern dot edu wangfang at math dot northwestern dot edu
Office Hours by appointment
W 3-5, Th 10-11 TTh 4:00-5:300 PM
Teaching in... Annenberg G15 Lunt 104 Lunt 107
T.A. codes N.A. 111 112


Class Logistics


Disabilities

Students with disabilities seeking accommodation are encouraged to contact the office of Services for Students with Disabilities (SSD) at 847-467-5530/ssd@northwestern.edu or to meet with the instructor to discuss their needs.


Lectures and Homework

Note: I am going to be releasing notes ("Notes on Calculus II", in PDF format) that you can download by clicking in the links of the "subject" column of the syllabus bellow. The introduction is here:

Depending on various circumstances, the schedule shown bellow may experiment small modifications.

The "sections" listed on the 4th column are from Stewart's book.

Lect. Date Subject Sections Homework
Assignments
Integrals
1 Wed 9/22 Areas and Distances; the Definite Integral 5.1-5.2 5.1: 1, 5, 11, 13
2 Fri 9/24 The Evaluation Theorem 5.2-5.3 5.2: 1, 5, 8, 11, 16 (only for n=5), 19, 29, 32, 35, 37, 38, 41
3 Mon 9/27 The Fundamental Theorem of Calculus 5.3-5.4 5.3: 1, 3, 5, 7, 11, 15, 18, 19, 28, 31, 39, 49, 53, 60; 5.4: 3, 7, 10, 11, 12, 19, 24
4 Wed 9/29 The Substitution Rule 5.5 5.5: 1, 3, 4, 9, 13, 18, 23, 28, 30
Disc. Thu 9/30 Quiz No. 1 5.1-5.5
5 Fri 10/1 The Substitution Rule (cont'd) 5.5 5.5: 40, 43, 45, 52, 61
6 Mon 10/4 Integration by Parts 5.6 5.6: 1, 3, 7, 9, 12, 13, 16, 19, 25, 41
7 Wed 10/6 Trigonometric Integrals and Trigonometric Substitutions 5.7 5.7: 1, 2, 3, 5, 7, 8, 9, 13, 14
Disc. Thu 10/7 Quiz No. 2 5.5-5.7
8 Fri 10/8 Partial Fractions 5.7 5.7: 15, 16, 17, 20, 21
9 Mon 10/11 Partial Fractions (cont'd) 5.7 5.7: 27, 28, 31
10 Wed 10/13 Integration using Tables and CAS 5.8 5.8: 3, 5, 9, 14
Disc. Thu 10/14 Quiz No. 3 5.7-5.8
11 Fri 10/15 Numerical Integration 5.9 5.9: 1, 2, 7, 23, 25, 27
12 Mon 10/18 Improper Integrals 5.10 5.10: 1, 3, 5, 7, 13, 19, 30, 41, 43, 58
13 Wed 10/20 Review 5.1-5.10
Disc. Thu 10/21 Review for First Midterm
Exam Fri 10/22 MIDTERM
Answers
5.1-5.10
Applications of Integration
14 Mon 10/25 More about Areas and Volumes 6.1-6.2 6.1: 1, 3, 7, 9, 11, 22, 23
15 Wed 10/27 Volumes 6.2 6.2: 1, 4, 7, 9, 11, 19, 25, 43, 44, 45
Disc. Thu 10/28 Quiz No. 4 6.1-6.2
16 Fri 10/29 Arc Length, Parametric Curves 1.7, 6.3 1.7: 3, 7, 15, 17, 20, 27; 6.3: 1, 2, 5, 7, 13, 18, 19, 24
17 Mon 11/1 Average Value of a Function (Mean Value Theorem) 6.4 6.4: 1, 6, 9, 10, 11, 12
18 Wed 11/3 Applications to Physics and Engineering (Work, Force) 6.5 6.5: 3, 7, 10, 11, 12, 14, 17a
Disc. Thu 11/4 Quiz No. 5 1.7, 6.3-6.5
Differential Equations
19 Fri 11/5 Differential Equations and Separable Equations 7.1, 7.3 7.1: 1, 9, 14ab; 7.3: 1, 4, 5, 9, 11, 17, 28
20 Mon 11/8 Directional Fields, Exponential Growth and Decay 7.2, 7.4 7.2: 1, 4, 5, 7, 11, 21, 28; 7.4: 3, 9, 11, 13, 17, 18
21 Wed 11/10 Logistic Equation 7.5 7.5: 1, 5, 7
Disc. Thu 11/11 Quiz No. 6 7.1-7.5
Infinite Sequences and Series
22 Fri 11/12 Sequences 8.1 8.1: 5, 13, 14, 16, 25, 26, 35, 37
23 Mon 11/15 Series 8.2 8.2: 7, 9, 11, 15, 19, 23, 25, 27, 33
24 Wed 11/17 Convergence Tests 8.3-8.4 8.3: 2, 3, 7, 8, 9, 13, 19, 20, 25; 8.4: 3, 5, 7, 19, 21, 24, 25, 31
Disc. Thu 11/18 Quiz No. 7 8.1-8.4
25 Fri 11/19 Power Series 8.5 8.5: 7, 8, 9, 15
26 Mon 11/22 Representation of Funtions as Power Series 8.6 8.6: 4, 9, 11
27 Wed 11/24 Taylor and MacLaurin Series 8.7 8.7: 3, 5, 7, 11, 21, 23, 29, 31, 34
28 Mon 11/29 Review all
29 Wed 12/1 Review all
30 Fri 12/3 Review all
Exam Th 12/9 FINAL EXAM
all

(Last Modified: November 24, 2004)

The complete set of notes is here. However I do not recommend to download the whole set until the end of the quarter, since I may still make some changes to the notes.


Related links


Email: mlerma at math dot northwestern dot edu

WWW Address: "http://www.math.northwestern.edu/~mlerma/courses/math214-2-04f/"

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