A Partnership between the Department of Mathematics
and
Science and Engineering Node Services (SENS)
University at Buffalo

MTH141 covers Chapters 2 through 5 of Calculus, by Edwards & Penney.

This site contains streaming video excerpts from the Fall 2002 lectures in MTH 141, Professor Ann Piech's class. The excerpts cover basic calculus concepts, with examples. The site is updated with new material following each class meeting.

INSTRUCTIONS: Click on the chapter number to the handouts and video clips for each lecture.

Chapter 2 - Limits and Derivatives

Date Section Topic
08/26/02 2.1 The Tangent and Velocity Problems
08/28/02 2.2 Volumes
08/30/02 2.3 Calculating Limits Using the Limit Laws
09/04/02 2.4 The Precise Definition of a Limit
09/04/02 2.5 Continuity
09/06/02 2.6 Limits at Infinity; Horizontal Asymptotes
09/11/02 2.7 Tangents, Velocities, and Other Rates of Change/td>
09/11/02 2.8 Derivatives
09/11/02 2.9 The Derivative as a Function

Chapter 3 - Differentiation Rules

Date Section Topic
9/13/02 3.1 Derivatives of Polynomials and Exponential Functions
9/17/02 3.2 The Product and Quotient Rules
9/17/02 3.3 Rates of Change
9/25/02 3.4 Derivatives of Trigonometric Functions
9/25/02 3.5 The Chain Rule
10/2/02 3.6 Implicit Differentiation
10/2/02 3.7 Higher Derivatives
10/4/02 3.8 Derivatives of Logarithmic Functions
10/4/02 3.11 Linear Approximation and Differentials

Chapter 4 - Applications of Differentiation

Date Section Topic
10/9/02 4.1 Maximum and Minimum Values
10/9/02 4.2 Mean Value Theorem
10/11/02 4.3 How Derivatives Affect the Shape of a Graph
10/16/02 4.4 Indeterminate Forms and L'Hospital's Rule
10/23/02 4.5 Summary of Curve Sketching
  4.6 This section omitted
10/23/02 4.7 Optimization Problems
  4.8 This section omitted
10/25/02 4.9 Newton's Method
10/25/02 4.10 Antiderivatives

Chapter 5 - Integrals

Date Section Topic
11/6/02 5.1 Areas and Distances
11/14/02 5.2 Definite Integral
11/14/02 5.3 The Fundamental Theorem of Calculus
11/20/02 5.4 Indefinite Integrals and the Total Change Theorem
11/20/02 5.5 The Substitution Rule

Back to main Mother Hen page

Operation Mother Hen © 1999-2003, Science and Engineering Node Services, University at Buffalo - 103e Bell Hall, University at Buffalo, 14260 - (716)645-3797
Questions and comments may be e-mailed to SENShelp.
Materials on this site may not be distributed without prior written permission from the course instructor.
Powered by UBiquity University at Buffalo