Math 19: Calculus

Winter 2005

Instructor: Andy Schultz
Office: 380-G
Office Hours: Tues: 1:00-2:00

Wed: 2:15-3:15

Thurs: 3:30-5:30
Email: aschultz_at_stanford.edu
Course Assistant: Ken Chan
Office: 380-U1
Office Hours: Mon: 2:15-4:15

Tues: 3:30-5:30

Thurs: 5:30-7:30
Email: kchan_at_math.stanford.edu


The final exam is Wednesday, March 16, from 8:30 to 11:30 am. The exam will be held in room 420-041.

On Tuesday, March 15, we're going to have a review session for the final. Important details include

(1) Time: 6:30 pm

(2) Place: Room 383-N. This is in the math building on the third floor. If you take the elevator to the third floor, the room is a little to the left as you walk out of the elevator.

(3) How to get in the building: since it will be after 5pm, most doors to the building will be locked. You'll have to enter the building through the front door.

(4) I'll bring lots of pizza, so come hungry.

(5) I'll have some things prepared to talk about, but this should largely be an interactive review. This means you should come ready to ask questions. My strong suggestions is you work on the practice final before the review.

Course Syllabus

Homeworks Quizzes Midterms
Homework 1 (solutions) Quiz 1 (solutions) Practice Midterm 1 (solutions)
Homework 2 (solutions) Quiz 2 (solutions) Midterm 1 (solutions)
Homework 3 (solutions) Quiz 3 (solutions) Practice Midterm 2 (solutions)
Homework 4 (solutions) Quiz 4 (solutions) Midterm 2 (solutions)
Homework 5 (solutions) Quiz 5 (solutions) Practice Final (solutions)
Homework 6 (solutions) Quiz 6 (solutions)
Homework 7 (solutions) Quiz 7 (solutions)
Homework 8 (solutions) Quiz 8 (solutions)
Homework 9 (solutions) Quiz 9 (solutions)
Quiz 10 (solutions)

<< Week 1 >>
Wed, 1/5 Welcome to Math 19!

Preliminary fun with function.

Quiz 1 (solutions)

Course Syllabus

Fri, 1/7 The two become one: putting together old functions to make new functions.

Inverse functions and our old friend the logarithm.

Course Notes

Precal Review

Practice Problems (solutions)

<< Week 2 >>
Mon, 1/10 A fantastic function finale.

Lines and slopes. An introduction to the tangent problem.

Course Notes
Wed, 1/12 An introduction to limits. Course Notes
Fri, 1/14 Properties of limits. Course Notes

Homework 1 due (solutions)

Quiz 2 (solutions)

<< Week 3 >>
Mon, 1/17 No Class. No Course Notes.
Wed, 1/19 Properties of limits. Continuity. Course Notes

Class Handout

Fri, 1/21 Homework discussion

Homework 2 due (solutions)

Quiz 3 (solutions)

<< Week 4 >>
Mon, 1/24 The tangent problem. The derivative at a point. Course Notes

Class Handout

Wed, 1/26 The derivative at a point. Course Notes

Class Handout

Fri, 1/28 Linearization. Course Notes

Class Handout

Homework 3 due (solutions)

Quiz 4 (solutions)

<< Week 5 >>
Mon, 1/31 Review for Midterm 1 No Course Notes
Wed, 2/2 The derivative of a function. Course Notes

Class Handout

Fri, 2/4 The derivative of a function, part deux. Course Notes

Homework 4 due (solutions)

Quiz 5 (solutions)

<< Week 6 >>
Mon, 2/7 Derivatives of polynomials and exponentials. Course Notes
Wed, 2/9 The product and quotient rules. Course Notes

Class Handout

Extra practice problems

Fri, 2/11 Applications of the derivative. Course Notes

Homework 5 due (solutions)

Quiz 6 (solutions)

<< Week 7 >>
Mon, 2/14 Local maxs and mins.

Derivatives of trigonometric functions

Course Notes

Class Handout

Wed, 2/16 The chain rule. Course Notes

Class Handout

Extra Practice Problems

Fri, 2/18 Practice problems. Course Notes

Class Handout

Homework 6 due (solutions)

Quiz 7 (solutions)

<< Week 8 >>
Mon, 2/21 No Class. No Course Notes.
Wed, 2/23 Implicit differentiation. Course Notes

Derivatives to know

Fri, 2/25 Practice problems. Class Handout

Homework 7 due (solutions)

Quiz 8 (solutions)

<< Week 9 >>
Mon, 2/28 Review for Midterm 2 No Course Notes.
Wed, 3/2 The Extreme Value Theorem. Course Notes
Fri, 3/4 Practice problems & optimization problems. Course Notes

Class Handout

Homework 8 due (solutions)

Quiz 9 (solutions)

<< Week 10 >>
Mon, 3/7 Optimization Problems (closed intervals) Course Notes

Class Handout

Wed, 3/9 Optimization Problems (open intervals) Course Notes

Class Handout

Fri, 3/11 Practice problems & course review

Homework 9 due (solutions)

Quiz 10 (solutions)