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Prerequisites
There is no course at MIT which is a prerequisite for this course. The prerequisites are high school algebra and trigonometry. Students may also receive credit for 18.01 by transferring credit from a comparable college course taken elsewhere, or by passing an advanced standing exam.
Description
This introductory Calculus course covers differentiation and integration of functions of one variable, with applications. Topics include:

Concepts of Function, Limits, and Continuity

Differentiation Rules, Application to Graphing, Rates, Approximations, and Extremum Problems

Definite and Indefinite Integration

Fundamental Theorem of Calculus

Applications of Integration to Geometry and Science

Elementary Functions

Techniques of Integration

Approximation of Definite Integrals, Improper Integrals, and L'Hôspital's Rule
Goals
After completing this course, students should demonstrate competency in the following skills:

Use both the limit definition and rules of differentiation to differentiate functions.

Sketch the graph of a function using asymptotes, critical points, the derivative test for increasing/decreasing functions, and concavity.

Apply differentiation to solve applied max/min problems.

Apply differentiation to solve related rates problems.

Evaluate integrals both by using Riemann sums and by using the Fundamental Theorem of Calculus.

Apply integration to compute arc lengths, volumes of revolution and surface areas of revolution.

Evaluate integrals using advanced techniques of integration, such as inverse substitution, partial fractions and integration by parts.

Use L'Hospital's rule to evaluate certain indefinite forms.

Determine convergence/divergence of improper integrals, and evaluate convergent improper integrals.

Find the Taylor series expansion of a function near a point.
Textbook
Simmons, George F. Calculus with Analytic Geometry. 2nd ed. New York, NY: McGrawHill, October 1, 1995. ISBN: 0070576424.
Course Reader
MIT students will be provided with a copy of the Course Reader: Jerison, D., and A. Mattuck. Calculus 1. (Not available to OCW users.)
Homework and Exams
There will be 8 problem sets. There will be 5 inclass exams during the lecture hour. There will also be a threehour final exam during finals week. The inclass exams and the final exam are closed book and calculators are not allowed. You will be allowed to use both sides of a 4" x 6" index card.
Grading
Grading criteria.
ACTIVITIES 
POINTS 
Eight Problem Sets 
50 each (Note: The lowest problem set score will be dropped.) 
Five Inclass 1 Hour Exams 
100 each 
Final Exam 
250 
Total 
1100 