Handouts

• 4/20/11 - Modeling with Systems of Differential Equations
• 4/15/11 - A Very Brief Introduction to Complex Numbers
• 3/25/11 - Power Series
• 3/21/11 - Asymptotics
• 3/07/11 - Nth Term Test, Comparison Test
• 3/04/11 - Definition of Convergence / Partial Sum Diagrams
• 2/28/11 - Sigma Notation Practice - solutions
• 2/25/11 - Taylor Approximation
• 2/16/11 - Work
• 1/24/11 - Course Information and Syllabus - This includes the exam schedule and grading policy.
• 1/24/11 - Slides from introductory meeting

Calculus by Robin Gottlieb

The following materials are from Calculus: an Integrated Approach to Functions and Their Rates of Change by Robin Gottlieb. With the publisher's permission, the book is being distributed to students officially in the course free of charge. Please do not redistribute.

We will be primarily be covering material in Chapters 18, 22, 25, and 27-31. If you would like a printout of these chapters, you may order one from FlashPrint in Harvard Square. Call them at 617-492-7767, and tell them you would like the Math 1b course packet. The cost will be $22.17, and the packet will be 3-hole punched but not bound.

You can see the entire book or browse some individual chapters:

• Chapter 24: The Fundamental Theorem of Calculus
• Chapter 25: Introduction to Indefinite Integration - Basic antiderivatives; substitution
• Chapter 27: Applying the Definite Integral: Slice and Conquer - Area and slicing
• Chapter 28: More Applications of Integration - Volume, work, etc.
• Chapter 29: Computing Integrals - Integration by parts, trigonometric integrals, trigonometric substitution, partial fractions, improper integrals
• Chapter 18: Geometric Sums, Geometric Series
• Chapter 30: Series
• Chapter 31: Differential Equations