Text:

Calculus and Its Applications
by Goldstein, Lay and Schneider, 8th Edition
Prentice Hall
ISBN: 0-13-079766-9
NOTE: A graphing calculator is required

Test and Quizzes:

There will be two 75-point hour exams given out of class. There will also be six 60-point 50 minute quizzes given by your Teaching Assistant.

Final Exam:

The final exam will be cumulative, worth 150 points and will take 2 hours.

Grades:

Grades will be based on 600 points:
150 points for the exams,
300 points for the quizzes,
150 points for the final

Final Exam

Sample M221 Final Exam (requires the free Acrobat Reader software installed)

Sections and Topics Covered:

Sect

Topic

Sect

Topic

1.1

The Slope of the Straight Line

4.1

Exponential Functions

1.2

The Slope of a Curve at a Point

4.2

The Exponential Function e^x

1.3

The Derivative

4.3

Differentiation of Exponential Functions

1.4

Limits and the Derivative

4.4

The Natural Logarithm Function

1.5

Differentiablility and Continuity

4.5

The Derivative of ln x

1.6

Some Rules of Differentiation

4.6

Properties of the Natural Logarithm Function

1.7

More About Derivatives

5.1

Exponential Growth and Decay

1.8

The Derivative as a Rate of Change

5.2

Compounded Interest

2.1

Describing Graphs of Functions

6.1

Antidifferentiation

2.2

The First and Second Derivative Rules

6.2

Areas and Rienman Sums

2.3

Curve Sketching

6.3

Definite Integrals and the Fundamental Theorem

2.4

Curve Sketching (conclusion)

6.4

Areas in the xy-Plane

2.5

Optimization Problems

9.1

Integration by Substitution

2.7

Applications of Calculus to Business & Economics

9.2

Integration by Parts

3.1

The Product and Quotient Rules

9.3

Evaluation of Definite Integrals

3.2

The Chain Rule and the General Power Rule

9.6

Improper Integrals

3.3

Implicit Differentiation