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 sel
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
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
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.
Practic
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
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 Readin
Week 10: Absolute Extrema and
Applied Maxima and Minima
Goals:
Review absolute extrema on a closed interval
Suggested Textbook Readings: Chapter 13: 13.2 and 13.6
Practice Problems
13.2: 1, 3, 7, 11
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.
Suggeste
Week 11 & 12: Optimization and
Modeling, Trigonometric Functions
Goals:
Discuss optimizations problems in economics
Review trigonometric functions
Study the derivatives of trigonometric functions.
Week 7: Chain Rule and Elasticity
of Demand
Goals:
Study Chain Rule
Study applications of derivatives to Economics: Elasticity of Demand
Suggested Textbook Readings: Chapter 11: 11.5, Chapter 12: 12