MATH 214-2
INTEGRAL CALCULUS

Miguel A. Lerma - Fall 2003

Section 31

MWF 9:00 am - Lunt 105
TH 9:00 am - LUNT 105/107

http://www.math.northwestern.edu/~mlerma/courses/math214-2-03f/

This is the web page for MATH 214-2, section 31, Fall 2003
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 Valentina Joukhovitski Radu V. Saghin
Office Lunt 203 Lunt B20 Lunt B13
Phone (847) 491-8020 (847) 467-1958 (847) 467-1955
E-mail mlerma at math dot northwestern dot edu valka at math dot northwestern dot edu rsaghin at math dot northwestern dot edu
Office Hours by appointment
Mon: 12:00-1:00,
Wed: 11:00-1:00
Mon 4:00-6:00pm
and by appointment
Teaching in... Lunt 105 Lunt 107 Lunt 105
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 9/24 Areas and Distances; the Definite Integral 5.1-5.2 5.1: 1, 5, 11, 13
2 Fri 9/26 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 9/29 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 10/1 The Substitution Rule 5.5 5.5: 1, 3, 4, 9, 13, 18, 23, 28, 30
Disc. Thu 10/2 Quiz No. 1 5.1-5.5
5 Fri 10/3 The Substitution Rule (cont'd) 5.5 5.5: 40, 43, 45, 52, 61
6 Mon 10/6 Integration by Parts 5.6 5.6: 1, 3, 7, 9, 12, 13, 16, 19, 25, 41
7 Wed 10/8 Trigonometric Integrals and Trigonometric Substitutions 5.7 5.7: 1, 2, 3, 5, 7, 8, 9, 13, 14
Disc. Thu 10/9 Quiz No. 2 5.5-5.7
8 Fri 10/10 Partial Fractions 5.7 5.7: 15, 16, 17, 20, 21
9 Mon 10/13 Partial Fractions (cont'd) 5.7 5.7: 27, 28, 31
10 Wed 10/15 Integration using Tables and CAS, Numerical Integration 5.8-5.9 5.8: 3, 5, 9, 14; 5.9: 1, 2, 7, 23, 25, 27
Disc. Thu 10/16 Quiz No. 3 5.7-5.9
11 Fri 10/17 Improper Integrals 5.10 5.10: 1, 3, 5, 7, 13, 19, 30, 41, 43, 58
Applications of Integration
12 Mon 10/20 More about Areas and Volumes 6.1-6.2 6.1: 1, 3, 7, 9, 11, 22, 23
13 Wed 10/22 Volumes 6.2 6.2: 1, 4, 7, 9, 11, 19, 25, 43, 44, 45
Disc. Thu 10/23 Review for First Midterm
Exam Thu 10/23 FIRST MIDTERM
5.1-5.10
14 Fri 10/24 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
15 Mon 10/27 Average Value of a Function (Mean Value Theorem) 6.4 6.4: 1, 6, 9, 10, 11, 12
16 Wed 10/29 Applications to Physics and Engineering (Work, Force) 6.5 6.5: 3, 7, 10, 11, 12, 14, 17a
Disc. Thu 10/30 Quiz No. 4 1.7, 6.1-6.5
17 Fri 10/31 Probability 6.7 6.7: 1, 2, 3, 4, 5
Differential Equations
18 Mon 11/3 Differential Equations and Separable Equations 7.1, 7.3 7.1: 1, 9, 14ab; 7.3: 1, 4, 5, 9, 11, 17, 28
19 Wed 11/5 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
Disc. Thu 11/6 Quiz No. 5 7.1-7.4
20 Fri 11/7 Logistic Equation 7.5 7.5: 1, 5, 7
21 Mon 11/10 Review for Second Midterm
22 Wed 11/12 Review for Second Midterm
Disc. Thu 11/13 Review for Second Midterm
Exam Thu 11/13 SECOND MIDTERM
1.7,6.1-6.5, 6.7, 7.1-7.5
Infinite Sequences and Series
23 Fri 11/14 Sequences 8.1 8.1: 5, 13, 14, 16, 25, 26, 35, 37
24 Mon 11/17 Series 8.2 8.2: 7, 9, 11, 15, 19, 23, 25, 27, 33
25 Wed 11/19 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 11/20 Quiz No. 6 8.1-8.4
26 Fri 11/21 Power Series, Taylor and MacLaurin Series 8.5-8.6 8.5: 7, 8, 9, 15; 8.6: 4, 9, 11
27 Mon 11/24 More about Taylor and MacLaurin Series 8.7 8.7: 3, 5, 7, 11, 21, 23, 29, 31, 34
28 Wed 11/26 Using Series to Solve Differential Equations 8.10 8.10: 1, 2, 4
29 Mon 12/1 Review all
30 Wed 12/3 Review all
31 Fri 12/5 Review all
Exam Tue 12/11 FINAL EXAM
all

(Last Modified: November 20, 2003)

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/math214-2-03f/"

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