For each date, there is required reading from sections in the textbook and sections in the course reader. You are to read the material before the lecture.

## Textbook

Simmons, George F. Calculus with Analytic Geometry. 2nd ed. New York, NY: McGraw-Hill, October 1, 1995. ISBN: 0070576424.

Readings in the textbook are listed by section numbers (e.g., § 2.1-2.4 means read sections 2.1 through 2.4.)

MIT students will be provided with a copy of the Course Reader: Jerison, D., and A. Mattuck. Calculus1. Readings in the Course Reader are listed as "Notes". (Not available to OCW users.)

1 Velocity and Rates of Change § 2.1-2.4.
2 Slope and Derivative

Limits and Continuity
Notes C.
3 Differentiation Formulas: Products and Quotients § 3.1-3.2.
4 Chain Rule and Implicit Differentiation § 3.3, 3.5-3.6, and 8.1-8.2.
5 The Derivatives of Exponential and Logarithm Functions § 8.3-8.4.
6 The Derivatives of Trigonometric Functions § 9.1-9.2, and 9.4.
7 Review for Exam 1
Unit 1 Exam
8 Approximations

Mean Value Theorem
Notes A, MVT.
9 Curve Sketching § 4.1-4.2.
10 Max-Min Problems § 4.3-4.4.
11 Related Rates § 4.5.
12 Inequalities, Zeros, and Newton's Method § 4.6 and 2.6, pp. 76-77.
Unit 2 Exam
13 Differentials and Indefinite Integrals § 5.1-5.3.
14 Definite Integrals § 6.1-6.4.
15 The Fundamental Theorem of Calculus § 6.5-6.6.
16 Properties of Definite Integrals Notes PI, Notes FT, and § 6.7.
17 Differential Equations and Separation of Variables § 5.4 and 8.5.
18 Numerical Integration and Review of Unit 3 § 10.9.
Unit 3 Exam
19 Areas between Curves, Volumes of Revolutions, and Slicing § 7.1-7.3.
20 Volumes by Shells and Average Values Notes AV, § 7.4.
21 Parametric Equations and Arc Length § 17.1 and 7.5.
22 Surface Area and Polar Coordinate Graphs § 7.6 and 16.1-16.3.
23 Area and Arc Length in Polar Coordinates § 16.4-16.5.
Unit 4 Exam
24 Inverse Trigonometric Functions and Hyperbolic Functions Notes G.7-G.9, § 9.5 and 9.7.
25 Integration by Inverse Substitution § 10.4-10.5.
26 Integration by Partial Fractions Notes F, § 10.6.
27 Integration by Parts § 10.7-10.8.
Unit 5 Exam
28 Indeterminate Forms and L'Hospital's Rule § 12.1-12.3.
29 Improper Integrals Notes INT, § 12.4.
30 Infinite Series § 13.1-13.3.
31 Power Series § 14.1 and 14.4.
32-33 Final Review