18.01 Calculus

18.01 - Single Variable Calculus
Spring 2008

Course Information

Lecturer:	Yaron Ostrover
Office:	room 2-244, phone 617-258-8164
E-mail:	ostrover(at)math.mit.edu
Office hours:	Tuesday / Thursday 4-5 PM. If you can't come during my official office hours but need help, feel free to contact me (best via email) and make an appointment.
Lectures:	Tuesday / Thursday 1-2 PM and Friday 2-3 PM in 2-142
Recitations:	Monday / Wednesday 2-3 PM, in room 2-143
Texts:	Simmons, Calculus with Analytic Geometry, second edition 18.01 Supplementary Notes and Problems, available at CopyTech (Basement Bldg. 11)
Assignments:	Weekly problem sets will typically be assigned at least a week in advanced and due on Tuesday by 3 PM in room 2-108. Late homework will not be accepted, but the lowest (problem set) score will be dropped.
Exams:	There will be two midterms (in lecture) and a final. For each midterm, students with failing grades will have a chance to take a make-up exam, worth at most the minimum passing score. There is no make-up for the final exam.
Grading percentages:	Problem sets (30%) Two Midterms (20% each) Final Exam (30%)
Web page:	http://www-math.mit.edu/~ostrover/1801/18.01-Calculus08Spring.html

Homework

Holidays

This semester we will not have classes on
President's Day February 18 (President's Day is Monday, but on Tuesday you'll have your usual Monday schedule.)
Spring Break March 24 - 28
Patriot's Day April 21,22

Tentative Syllabus

The following is a rough week-by-week guide to what we will be covering and when, including required reading from Simmons and the notes, and exam dates. Some topics may be removed due to time constraints, especially toward the end.

Week 1 (2/5-2/8): Limits, derivatives, differentiation rules.
Read Notes G and C, 2.1-2.5, 3.1-3.3.
Week 2 (2/11-2/15): Implicit differentiation, higher order derivatives, exp/log/trigonometric functions.
Read 3.4-3.6, 8.1-8.2, 8.3 (skip Examples 2 and 3), 8.4 (through Example 1), Notes X, 9.1, 9.2, 9.4 (through Example 2), 3.4.
Week 3 (2/18-2/22): Linear approximation, curve sketching, max-min problems.
Read Notes A, 5.2, 4.1-4.4.
Week 4 (2/25-2/28): Mean value theorem, L'Hospital's rule.
Read Notes MVT, 2.6, 12.1-12.3.
Friday 2/29: Midterm 1
Week 5 (3/3-3/7): Definite integrals, numerical integration.
Read 5.3, 6.1-6.4.
Week 6 (3/10-3/14): Fundamental theorem of calculus, properties of integrals.
Read 6.5-6.7, Notes FT, PI.
Week 7 (3/17-3/21): Differential equations, separation of variables, area between curves, surfaces of revolution, length of curves.
Read 5.4, 8.5, 7.1-7.6.
Week 7.5 (3/24-3/28): Spring break
Week 8 (3/31-4/4): Trigonometric integrals and substitution, hyperbolic functions, completing the square, intro to partial fractions.
Read 9.5, 9.7, 10.1-10.6.
Week 9 (4/7-4/11): Partial fractions, integration by parts.
Read 10.7-10.8, Notes F.
Friday 4/11: Midterm 2
Week 10 (4/14-4/18): Parametric equations, arc-length, surface area, polar coordinates.
Read 7.5-7.6, 17.1, 16.1-16.3.
Week 11 (4/21-4/25): Area and arc-length in polar coordinates, average value of a function. Read 16.4-16.5, Notes AV.
Week 12 (4/28-5/2): Improper integrals, infinite series.
Read 12.4, 13.1-13.4.
Friday 5/2: Midterm 3
Week 13 (5/5-5/9): Comparison tests, integral test, absolute and conditional convergence.
Read 13.5-13.6, 13.8.
Week 14 (5/12-5/16): Introduction to power series and Taylor series.
Read 13.7, 14.1-14.4.
Final : Monday, May 19th, 1:30 PM - 4:30 PM, in 2-135

18.01 - Single Variable Calculus Spring 2008

Course Information

Homework

Holidays

Tentative Syllabus

Links

18.01 - Single Variable Calculus
Spring 2008