Previously Taught Courses 

MTH 1223 - Calculus 4 for Engineers
 
Instructor: Maxim Braverman 457 LA, ext. 8769   
Location: 17 SL
Coordinator: Martin Schwarz 449 LA, ext. 5654 
Prerequisites: MTH 1123  MTH 1124  MTH 1125  or the equivalent
Textbook: "Multivariable Calculus" by McCallum et al,      
Course Description:  In this course you will learn how to extend the notions of first year calculus, particularly the idea of the derivative and the integral, so that you can use them to study functions of 2 or more variables. You will be able to apply what you learn to many different situations from science and engineering. A few of the courses that build on this one are: CIV 1210, CIV 1530, CHE 1211, CHE 1310, ECE 1363, IIS 1340, ME 1201, ME 1365, and ME 1375
 The Syllabus in PDF format.
Lab Handouts in PDF format: Basic Surface Plotting in MatLab

MTH 3106 - Functional Analysis
 
 
Instructor: Maxim Braverman 457 LA, ext. 8769 
Class hours: MW 5:30 - 7:00 PM Location:   544 NI
Textbook: "Essential results in Functional Analysis" by Robert J. Zimmer
Supplementary reading: "Methods of Modern Physics. I. Functional Analysis" by M. Reed and B. Simon
Prerequisites: Linear Algebra, Theory of Lebesgue integration. 
Grading: Home assignments will be given weekly and will be a basis for your grade. Do not accumulate a backlog: if you do it would be very difficult to catch up.
Resources on the Web: I recommend the homepage of the course given by professor Shubin in 1996. He used the same book and the site containes solutions of some of the problems from the book. The URL is:  http://mystic.math.neu.edu/courses/funcan/
What is Functional Analysis?  
Functional Analysis developed in 20th century from an idea to treat functions as points in infinite-dimensional space. The idea allows a miraculously successful use of rich  geometric intuition when dealing with functions. It proved to be extremely fruitful in applications to differential equations, harmonic analysis, ergodic theory, group representations, quantum mechanics,  economic models.  From a formal point of view, functional analysis is a generalization of linear algebra to infinite-dimensional spaces. 
Course Description: 
The aim of the course is to provide an introduction to essential results of Functional Analysis and some of its applications. The main prerequisite is the theory of Lebesgue integration, which is necessary mainly to understand examples. The main abstract facts can be understood independently. Proof of some important basic theorems  about Hilbert and Banch spaces  (e.g. Hahn-Banach Theorem, Open Mapping Theorem) will be omitted to allow  more time for applications of the abstract technique. 

The textbook has a good set of exercises. Most of them are not difficult. You should try to solve as many of them as you can. The examples are at least as important as theorems. So you have to familiarize yourself with as many examples as possible.
Main topics to be covered:
  1.  Introduction to Hilbert and Banach spaces (this topic is assumed known in Zimmer's book; you can use Reed and Simon's book for references).
  2. Basics on operators in Banach and Hilbert spaces and operator topologies.
  3. Compact operators. Peter-Weyl theorem for compact groups.
  4. Spectral theory. Gelfand's theory of commutative C*-algebras. Mean ergodic theorem.
  5. Fourier transforms and Sobolev embedding theorems.
  6. Distributions and Elliptic operators.
  7. Mathematical scheme of quantum mechanics (this topic is not covered in  Zimmer's book).
Homework assignments:
 Assignment 1: PDF file
 Assignment 2: Problems 1.7, 1.10a, 1.13, 1.21

MTH 3105 - Topology I
 
 
Instructor: Maxim Braverman 457 LA, ext. 8769 
Class hours: MW 7:15 - 8:45 PM Location:   544 NI
Textbook: "Basic Topology" by M. A. Armstrong
Grading: Home assignments will be given weekly and will be a basis for your grade. Do not accumulate a backlog: if you do it would be very difficult to catch up.
Course Description: 
Main topics to be covered:
  1. Point set topology
  2. Continuity. Open and closed sets. Space-filling curve.
  3. Compactness. The Heine-Borel theorem.
  4. Product spaces.
  5. Connectedness. Joining points by paths.
  6. Identification topology. Constructing a Mobius list.
    7.
  7. Topological groups. Orbit spaces.
  8. Homotopy theory. The fundamental group. 
  9. Homotopic maps.
  10. Construction of the fundamental groups.
  11. Covering spaces. Calculation of fundamental groups.
  12. Homotopy type.
  13. Brouwer fixed point theorem.
    14.
  14. Triangulations.
  15. Triangulating spaces.
  16. Barycentric subdivision. simplicial approximation.
  17. The edge group of a complex.
    18.
  18. Classification of surfaces.
  19. Triangulation and orientation.
  20. Euler characteristic.
  21. Surgery.
  22. Surface symbols. Classification.
    23.
  23. Knots and covering spaces.
  24. Examples of knots.
  25. The knot group. 
  26. Seifert surface.
  27. Alexander polinomial.
    28.

 

MTH 1367 - Geometry
 
Instructor: Maxim Braverman 457 LA, ext. 8769   
Location: 103 RY
Prerequisites:  Basic linear algebra or permission of the instructor.  
Textbook: "Euclidean and Non-Euclidean Geometry; Developmnet and History" by Marvin J. Greenberg,  Third Edition.      
Course Description:  Studies classical Euclidean geometry and symmetry groups of geometric figures by an analytic approach. Teaches how to formulate mathematical propositions precisely and how to construct and understand mathematical proofs Provides a line between classical and modern geometry with the aim of preparing students for further study in group theory and differential geometry. 
 The Syllabus in PDF format.

MTH 3400 - Geometry I
 
 
Instructor: Maxim Braverman 457 LA, ext. 8769 
Class hours: MW 7:15 - 8:45 PM Location:   145 RY
Textbook: "Foundations of Differentiable Manifolds and Lie Groups" by Frank W. Warner
Prerequisites: MTH 3010 and MTH 3102
Grading: Home assignments will be given weekly and will be a basis for your grade. Do not accumulate a backlog: if you do it would be very difficult to catch up.
Main topics to be covered:
  1. Manifolds 
    1. Differentiable Manifolds
    2. Partition of Unity
    3. Submanifolds, Diffeomorphisms
    4. Inverse Function and Implicite function Theorems
    5. Vector Fields
    6. Distributions and the Frobenius Theorem
  2. Tensors and Differentiable Forms
    1. Tensor, Symmetric and Exterior Algebras
    2. Tensor Fields
    3. Differential Forms
    4. The Lie Derivative
  3. Lie Groups
    1. Lie Groups and Their Lie Algebras
    2. Homomorphisms and Lie subgroups
    3. Coverings, Simply Connected Lie Groups
    4. Exponential Map
    5. Closed Subgroup
    6. The Adjoint Representation
    7. Homogeneous Manifolds
  4. Integration on Manifolds
    1. Orientation
    2. Integration of Differential forms
    3. de Rham Cohomology
  5. Cohomology of Sheaves and the de Rham theorem
    1. Presheaves and Sheaves
    2. Sheaf Cohomology
    3. The de Rham Theorem
    4. Multiplicutive structure

      5.  
Homework assignments:
 Assignment 1: 
 Assignment 2:

 

MTH 3010 - Basics of Analysis
 
 
Instructor: Maxim Braverman 457 LA, ext. 8769 
Class hours: MW 5:30 - 7:00 PM Location:   509 LA
Textbook: Principles of Mathematical Analysis, by Walter Rudin, 3rd edition, McGraw-Hill, 1976
Prerequisites: MTH 3009 (Fundamentals of Analysis)
Grading: Home assignments will be given weekly and will be a basis for your grade. Do not accumulate a backlog: if you do it would be very difficult to catch up.
Main topics to be covered: The course will cover the material in Chapters 9-11 from Rudin's book: 
  1. Chapter 9: Functions of Several Variables 
    1. The inverse Function Theorem
    2. The Implicite Function Theorem
    3. The Rank Theorem
    4. Derivatives of Higher Order
    5. Differentiation of Integrals
  2. Chapter 10: Integration of Differential Forms
    1. Primitive Mappings
    2. Partition of Unity
    3. Change of Variables
    4. Differential Forms
    5. Simplexes and Chains
    6. Stokes' Theorem
    7. Closed Forms and Exact Forms
    8. Vector Analysis
  3. Chapter 11: The Lebesgue Integration
    1. Construction of the Lebesgue Measure
    2. Measured Spaces
    3. Measurable Functions
    4. Simple Functions
    5. Integration
    6. Comparison with the Riemann Integral
    7. Functions of Class L2

      8.  
Homework assignments:
 Assignment 1: 
 Assignment 2:

MTH 3400 - Geometry I
 
 
Instructor: Maxim Braverman 457 LA, ext. 8769 
Class hours: MW 7:15 - 8:45 PM Location:   509 LA
Textbook: "A Course in Differential Geometry" by Thierry Aubinr
Prerequisites: MTH 3010 and MTH 3102
Grading: Home assignments will be given weekly and will be a basis for your grade. Do not accumulate a backlog: if you do it would be very difficult to catch up.
Main topics to be covered:
  1. Differentiable Manifolds 
    1. Differentiable Manifolds
    2. Partition of Unity
    3. Differentiable Mappings
    4. Submanifolds
    5. The Whitney Theorem
    6. The Sard Theorem
  2. Tangent Space
    1. Tangent Vector, Linear Tangent Mappings
    2. Vector Bundles
    3. The Bracket
    4. Orientable Manifolds
    5. Manifolds with Boundary
  3. Integration and Differential Forms
    1. Integration of Vector Fields
    2. Lie Derivatives
    3. The Frobenius Theorem
  4. Linear Connections
    1. Definition, Christoffel Symbols
    2. Torsion and Curvature
    3. Parallel Transport, Geodesics
    4. Covariant Derivatives
  5. Rieamnnian Manifolds
    1. Definitions
    2. Riemannian Connections
    3. Exponential Mappping

      4.  
Homework assignments:
 Assignment 1: 
 Assignment 2:
MTH U151 - Calculus & Differential Equations for Biology 1 
 
Instructor: Maxim Braverman 457 LA, ext. 8769   
Coordinator: Prof: Samuel J. Blank  email:  blank@neu.edu Office: 535 LA,  Phone: 373-5644
Prerequisites:      or the equivalent
Textbook:  
Course Description:  Begins with the fundamentals of differential calculus and proceeds to the specific type of differential equation problems encountered in biological research.  presents methods for the solutions of these differential equations and how the exact solutions are obtained from actual laboratory data. Topics: Differential Calculus: Basics, The derivative, the rules of differentiation, curve plotting, exponentials and logarithms, trigonometric functions; Using technology to understand derivatives; Biological kinetics:  zero- and first-order processes, processes tending toward equilibrium, bi- and tri- exponential processes,  biological half-life; differential equations: particular and general solutions to homogeneous and non-homogeneous linear equations with constant coefficients, systems of two linear differential equations; compartmental problems: non-zero initial concentration, two compartment series dilution, diffusion between compartments, population dynamics; Introduction to integration.
The Syllabus  Roster   
 

The final exam is on   
 
 Supplementary material:


 

MTH U341 - Calculus III (Eng/Sci)
 
Instructor: Maxim Braverman 457 LA, ext. 8769   
Coordinator: Prof: Terence Gaffney  email:  Gaff@neu.edu  Office: 439 LA,  Phone: 373-3587
Prerequisites: MTH 1123  MTH 1124  MTH 1125  or the equivalent
Textbook: "Multivariable Calculus", by McCallum, et al.,   3rd edition
Course Description:  In this course you will learn how to extend the notions of first year calculus, particularly the idea of the derivative and the integral, so that you can use them to study functions of 2 or more variables. You will be able to apply what you learn to many different situations from science and engineering. A few of the courses that build on this one are: CIV 1210, CIV 1530, CHE 1211, CHE 1310, ECE 1363, IIS 1340, ME 1201, ME 1365, and ME 1375
The Syllabus  Roster   
A Maple Glossary in PDF format
Supplementary Problems in PDF format
Lab 1: Conic Sections and Quadratic Surfaces in PDF format.  
Lab 2: Gradient Fields in PDF format.  
Computer exercise: Tangent planes and partial derivatives  
The first 1 hour test is on Thursday, October 23. Here you can find the complete solution of the test.
 

The final exam is on Thursday, December 18, 2003 at 10:30.  
There is a review session on Wednesday, December 17, 6-8 in 101 Churchill.
 
New: Here you can find a list of sample problems for the second midterm. Solutions of selected problems from this list can be found here: Page 1, Page 2, Page 3, Page 4, Page 5. Other sample problem may be found in the Calc 4 Quiz Home Page. 
 Supplementary material:
The Calc 4 Quiz Home Page -  here you can find some sample quizzes with hints and solutions (it is called Calculus 4 since it was created when we still were on quarter system. But it contains the quizzes for the material of our course). 
Here is the departmental homepage of Calculus III. It contains a lot of useful material.
Here is Winter '98 Calc 4 Home Page It contains sample exam and tests. In Winter '98 we were still on quarter system. So the course was different and contained less material.  Nevertheless, you might find this page useful.
MTH U241H - Calculus I (Eng/Sci)
 
Instructor: Maxim Braverman 457 LA, ext. 8769     
Coordinator: Prof: Robert Case  email:  case@neu.edu  Office: 439 LA,  Phone: 373-3587  
Textbook: Calculus by Johnston and Mathews, Addison Wesley publisher You must have an access code to the web-based package MyMathLab. If you purchased a new book, bundled with it is the access code and information. Students who purchase a used text may purchase MyMathLab separately, but
the combined cost may come to more than the new text price.
The Syllabus  Roster   
 
 You must regester for MyMathLab at http://students.pearsoned.com/. To register you will need the access code which you purchase with the book and the following information:
          Course ID:               braverman80114
          Course Name:             MTH U241 H
You will need the registration to make you homework online. This web-site also offers various kinds of assistance including a fairly elaborate practice problem generator.  When registered you will obtain a phone number you can call to ask for math help.
 
 
   
Here are some quizzes given in the other sections of this course:
  Quizzes given by Prof. T. Sherman (each quiz was 15 minutes long):  Quiz 1, Quiz 2, Quiz 3
  Here are the same quizzes with solutions: Quiz 1, Quiz 2
The first 1 hour test is on Thursday, October 21.  

Here is a list of sample problems for the midterm.
New: Here are midterms of several other instructors of this course:
  The midterms of Prof. T. Sherman;    The midterm of Dr. Pablo Ramacher 
The final exam is on  12/17/2004  at 10:30 AM.  
 
   
 
   
MTH U244 - Calculus II (Eng/Sci)
 
Instructor: Maxim Braverman 457 LA, ext. 8769   
Coordinator: Prof:  Maurice Gilmore       email:  gilmore@neu.edu  Office: 463 LA,  Phone: 373-5675
Textbook: Calculus by Johnston and Mathews, Addison Wesley publisher You must have an access code to the web-based package MyMathLab. If you purchased a new book, bundled with it is the access code and information. Students who purchase a used text may purchase MyMathLab separately, but
the combined cost may come to more than the new text price.
Syllabus for 9:15 class   Syllabus for 10:30 class Roster for 9:15 class   Roster for 10:30 class
 
 You must regester for MyMathLab at http://students.pearsoned.com/. To register you will need the access code which you purchase with the book and the following information:
         
    For 9:15 class
    Course ID:               braverman78063
    Course Name:          MTH 242  9:15		     For 10:30 class
    Course ID:               braverman40460
    Course Name:          MTH 242  10:30

You will need the registration to make you homework online. This web-site also offers various kinds of assistance including a fairly elaborate practice problem generator.  When registered you will obtain a phone number you can call to ask for math help.
 
Problem Solving Session meets every Tuesday, 3:30-5:00 at 102G WV.
There is another Problem Solving Session (for another session of this course, but you can go there) which meets on Tuesdays, 5 -6:30 in 101 Churchill

Solutions of: Quiz 1,  Quiz 2, Quiz 3, Quiz 4, Quiz 5, Midterm

New:  Here you can find the tests which were given in the class of Prof. Gilmore   (only 5 quizzes were given so far so only first five links are active).
 

The final exam is on  4/22/2005  at 3:30 PM.  
 
 
 
 
 
MTH G102 - Analysis 2
 
Instructor: Maxim Braverman   457 LA, ext. 8769   
Class hours: MW 5:50-7:20  PM   Location:   509 LA  
Textbook: "Mathematical Analysis" by Andrew Browder      
Prerequisites: Analysis 1, Linear Algebra.       
Grading: Weekly homework problems may be done collaboratively. The take-home final exam must be entirely your own work.      
Course Description:         
  The aim of the course is to provide an introduction to essential results of Functional Analysis and some of its applications. The main prerequisite is the theory of Lebesgue integration, which is necessary mainly to understand examples. The main abstract facts can be understood independently. Proof of some important basic theorems  about Hilbert and Banch spaces  (e.g. Hahn-Banach Theorem, Open Mapping Theorem) will be omitted to allow  more time for applications of the abstract technique. 

The textbook has a good set of exercises. Most of them are not difficult. You should try to solve as many of them as you can. The examples are at least as important as theorems. So you have to familiarize yourself with as many examples as possible.

      
Main topics to be covered: We will cover chapters 9-14 of the book. The main topics to be covered are    
 
  1. Measure Theory, Lebesgue and Riemann Integrals.
  2. Introduction to Manifolds.
  3. Tensor Algebra, Exterior Algebra. Tensor and Vector Fields on Manifolds.
  4. Stockes’ Theorem for Differential Forms and its consequences (classical Green’s, Gauss-Ostrogradski’s, and Stockes’ Theorems)
  5. Calculus of Vector Fields on Manifolds.
     
Homework assignments:

MTH G301 - Functional Analysis
 
Instructor: Maxim Braverman   457 LA, ext. 8769   
Class hours: MW 7:30-9:00  PM   Location:   544 NI  
Textbook: "Essential results in Functional Analysis" by Robert J. Zimmer      
Supplementary reading: "Methods of Modern Physics. I. Functional Analysis" by M. Reed and B. Simon      
Prerequisites: Linear Algebra, Theory of Lebesgue integration.       
Grading: Home assignments will be given weekly and will be a basis for your grade. Do not accumulate a backlog: if you do it would be very difficult to catch up.      
Resources on the Web: I recommend the homepage of the course given by professor Shubin in 1996. He used the same book and the site containes solutions of some of the problems from the book. The URL is:  http://mystic.math.neu.edu/courses/funcan/      
What is Functional Analysis?        
  Functional Analysis developed in 20th century from an idea to treat functions as points in infinite-dimensional space. The idea allows a miraculously successful use of rich  geometric intuition when dealing with functions. It proved to be extremely fruitful in applications to differential equations, harmonic analysis, ergodic theory, group representations, quantum mechanics,  economic models.  From a formal point of view, functional analysis is a generalization of linear algebra to infinite-dimensional spaces.       
Course Description:         
  The aim of the course is to provide an introduction to essential results of Functional Analysis and some of its applications. The main prerequisite is the theory of Lebesgue integration, which is necessary mainly to understand examples. The main abstract facts can be understood independently. Proof of some important basic theorems  about Hilbert and Banch spaces  (e.g. Hahn-Banach Theorem, Open Mapping Theorem) will be omitted to allow  more time for applications of the abstract technique. 

The textbook has a good set of exercises. Most of them are not difficult. You should try to solve as many of them as you can. The examples are at least as important as theorems. So you have to familiarize yourself with as many examples as possible.

      
Main topics to be covered:        
 
  1.  Introduction to Hilbert and Banach spaces (this topic is assumed known in Zimmer's book; you can use Reed and Simon's book for references).
  2. Basics on operators in Banach and Hilbert spaces and operator topologies.
  3. Compact operators. Peter-Weyl theorem for compact groups.
  4. Spectral theory. Gelfand's theory of commutative C*-algebras. Mean ergodic theorem.
  5. Fourier transforms and Sobolev embedding theorems.
  6. Distributions and Elliptic operators.
  7. Mathematical scheme of quantum mechanics (this topic is not covered in  Zimmer's book).
     
Homework assignments:
MTH U241 - Calculus I (Eng/Sci) Fall 2007
 
Instructor: Maxim Braverman 457 LA, ext. 8769   
Coordinator: Prof: Mark Bridger email: bridger@neu.edu Office: 439 LA,  Phone: 373-3587
Textbook: Calculus, Concepts and Contexts, 3rd Ed. by James Stewart
(Note: the bookstore has a special edition prepared especially for Northeastern; it is in two volumes – we will be using volume 1 for U241 and U242.)
The Syllabus     
Other resourses on the Web: The other instructors teaching this course will post a lot of material on their web pages.
The page created by professor Bridger.
In particular, you can see the quiz given by professor Bridger.
The Midterms (with solutions)  1, 2, and 3  given by professor Massey. Quizzes 1 and 2 given by professor Lakshmibai
Tutoring: The will weekly problem solving session conducted by Alex Dubreuil on Fridays 2:00-3:30PM in 110WVH.
Tutoring for other sections: Tuesday-12:00-1:30PM in 5SL (class of Prof. Bridger), Wednesday- 6:00-7:00PM in 272WVF (class of Prof. Case)
   You can attend any of these sections. But the class of Alex Dubreuil will be better synchronized with the material of my lectures.
Quiz 1, Solutions to Quiz 1, Quiz 2, Solutions to Quiz 2, Quiz 3, Solutions to Quiz 3, Quiz 4, Solutions to Quiz 4, Quiz 5, Solutions to Quiz 5, Quiz 6, Solutions to Quiz 6, Quiz 7, Solutions to Quiz 7, Quiz 8, Solutions to Quiz 8, Quiz 9, Solutions to Quiz 9, Quiz 10, Solutions to Quiz 10, Quiz 11, Solutions to Quiz 11
Roster for 10:30 class, Roster for 1:35 class
Sample problems for the final. Solutions to Sample Problems.  2005 Final. Solutions to 2005 final  
Review session will be held in 200 Richards the evening prior to the final: 12/11/06 from 6.00pm - 8.30pm.
The final exam is on  12/12/2006 10:30 AM.  
 
MTH U241 - Calculus I (Eng/Sci) Fall 2008
 
Instructor: Maxim Braverman 457 LA, ext. 8769   
Textbook: Calculus, Concepts and Contexts, 3rd Ed. by James Stewart
(Note: the bookstore has a special edition prepared especially for Northeastern; it is in two volumes – we will be using volume 1 for U241 and U242.)
The Syllabus     
Other resourses on the Web: The other instructors  teaching this course will post a lot of material on their web pages. Here is the page created by Prof. Zelevinsky. And here is the page created by  Professor Gautam. I also recommend the page created by Prof. Bridger last year.

Here are some quizzes given by Professor Hajian:  Quiz 1, Solution to Quiz 1, Quiz 2, Solution to Quiz 2 
Tutoring: Blake Aycock will teach a problem solving session each Tuesday 3-4:30 PM at 150DG.  I highly recommend to attend this session. The first meeting will be on Tuesday, September 11th.

There are several other problem solving sessions which you can also attend: Tuesday 4:30-6 at 404RB, Wednesday 3-4:30 at 104 G WV, and Wednesday 6-7:30 at 409RB. However, the session of Blake will be coordinated with our class, while the other sessions will be coordinated with the classes of other instructors.

Homework: Though all the homework problems listed in the syllabus are very useful, here I will post a selection of the most important problems for each class.
  • September 5:    Read section 1.1 Representing Functions, p. 22: 1,10,,27,43,44,47,57,58,64
  • September 6:     Read section 1.7 Parametric Curves, pp. 79-82: 5-7,9,16,21,25,29
  • September 10:   2.2 The Limit, p. 106: 1.  The other problems are not from the book: list of problems.
  • September 12:   Read section 2.1 Tangent and Velocity, pp. 97-98: 2,7;  Read section 2.2 The Limit, p.106: 1,3,4,17;  Read section 2.6 Velocities and Rates of Change, pp.145-146: 2,3,8,13,16
  • September 13:  Read section 2.7 Derivatives, pp. 153-154: 3-5,7,15,19-22
  • September 17:  Read section 2.8 Derivative as a Function, pp. 158: 2-7,9,32
  • September 19:  Read section 2.9 What does f' say about f, pp. 172-174: 1-3,8,10,15,18,23
  • September 20:  Read section 3.1 Derivative of Polynomial and Exponential, pp. 190-192: 3-25 (odds),37,38,41
  • September 24: Read section 3.2  Product & Quotient Rules, p. 198: 3,6,7,10,11,29,31,32
  • September 26: Read section 3.3. Rates of Change, p. 210: 1,3,8,11,14,15,24,33
  • September 27: Read section 3.4 Trig. Functions, p. 218: 1,3,4,7,8,19,23,26,29,37
  • October 1: Read section  3.5 The Chain Rule up to Example 7 on page 224, p. 228: 1-11(odds),15,17,19,21,25,29,41,43
  • October 3: Read section  3.5 The Chain Rule, p. 228: 4,10,13,16,18,27
  • October 4: Read section  3.6 Implicit Differentiation up to Example 3 on p. 236, pp. 238-240: 7,11,13,14,17,55
  • October 10: Finish reading section  3.6 Implicit Differentiation, pp. 238-240: 15,28,29,3132,34,36(b).
  • October 11: p. 240: 41,43,44,55.   Read section  3.7 Log Functions, p. 245: 3-13(odds),14,24
  • October 15: 3.7 Log Functions, p. 246: 27-34
  • October 17: Read section 3.8 Linear Approx., p. 252: 1,2,5,9,28-30,34 
  • October 22: Read section 4.1 Related Rates, p. 267: 8,9,11,14,18,27; Read section 4.2 Maxima & Minima, p. 274: 4,23,24,29,37-43(odds)
  • October 25: Read section 4.3 Derivatives & Curves, p. 286: 6,7,11
  • October 31: Read section 4.3 Derivatives & Curves, p. 286: 21,24,25,30,37;  Read section 4.4 Graphing with Calculus & Calculator, p. 295: 1,3,8
  • November 1: Read section 4.6 Optimization Applications, p. 311: 3,4,10,12,16,22
  • November 5: Section 4.6 Optimization Applications, p. 311: 5,9,13,23,33
  • November 7: Read Section 4.8 Newton’s Method, p. 325: 4,9,10,15
  • November 8: Read Section 4.9 Antiderivatives, p. 332: 1,7,12,21,29,40,46,48
  • November 14: Section 4.9 Antiderivatives, p. 332: 3,5,10,11,19,22, 39,49
  • November 15: Section 5.1 Areas & Distances and Section 5.2 The Definite Integral, p. 364: 1,2,11,17,27,31,35,40
  • November 19: Read Section 5.3 Evaluating Def. Integrals, p. 374: 3,5,11,14,17,20,27,29,38,45
  • November 26: p. 374: 55,57,59, p. 383: 5,8,9,17;  Read Section  5.5 Substitution Rule, p. 392: 1-13(odds),18,21,24,30
  • November 28: p. 392: 15,17,19, 39,41,45,47,53
    •
    Roster for 9:15 class   Roster for 10:30 class   
     Quizzes: Solutions of quiz 1,  Solutions of quiz 2, Solutions of quiz 3, Solutions of quiz 4, Solutions of quiz 5, Solutions of quiz 6, Solutions of quiz 7, Solutions of quiz 8, Solutions of quiz 9
    NEW REVIEW SESSION:  Tuesday December 11th; 6- 8.30 in 200RI NEW
    NEW Final Preparation: 2006 Final, 2005 Final, More final preparation problems.   NEW
    The final exam is on  12/12/2007 at 10:30 am.  
     
     
     

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