MATH 126 - Dierential and Integral Calculus
Fall 2010 and Winter 2011
Math 126 is a full year course in Calculus for students who have studied Calculus in high
school. However it is intended to be self-contained, so that it is possible to follow it withou
Week 1: Functions and Equations
Goals:
Review functions
Introduce modeling using linear and quadratic functions
Solving equations and systems
Suggested Textbook Readings: Chapter 2: 2.1 - 2.2, and Chapter 3: 3.1-3.6
Practice Problems:
2.1: 3, 23, 31
Notes on Trigonometric Functions for Math 126
In this notes we shall extend our study of calculus to an important class of functions
called the trigonometric functions. These functions are widely used in natural sciences
to study periodic or rhythmic phen
Week 2: Exponential Functions
Goals:
Introduce exponential functions
Study the compounded interest and introduce the number e
Suggested Textbook Readings: Chapter 4: 4.1, and Chapter 5: 5.1.
Practice Problems:
4.1: 3, 7, 13, 15, 21, 25, 31, 41, 47
Week
Week 5: Tangents and Derivatives
Goals:
Introduce tangent line
Discuss derivative as a rate of change.
Introduce derivative as the limit of a dierence quotient.
Study some rules for dierentiation
Suggested Textbook Readings: Chapter 11: 11.1 - 11.3
Pr
Week 6: Dierentiation Rules and
Applications
Goals:
Study Product Rule and Quotient Rule.
Study applications of derivatives to Economics: marginal cost and marginal revenue
Suggested Textbook Readings: Chapter 11: 11.3, 11.4.
Practice Problems
11.3: 9,
Week 9: Derivatives and the graphs
of functions
Goals:
Study LHpitals Rule
o
Study the relation between the values of f and f and the graphs of f .
introduce relative and absolute Extrema.
Suggested Textbook Readings: Chapter 13: 13.1-13.4
Practice Pro