Math 23A
Multivariable Calculus I
Winter 2000

 

Course description

Vector Calculus is the calculus of several variables. It is an essential tool for science and engineering, and it combines vectors with the techniques of calculus. Whether one studies heat flow, electromagnetism, fluid motion, planetary motion, superconductivity, or even special relativity, concepts from vector calculus are essential. We will study the differential calculus of functions of several variables which comprises the first four chapters of the textbook (the rest will be covered in Math 23B).

Required textbook

"Vector Calculus," by Jerrold Marsden and Anthony Tromba, 4th Edition, Freeman

 

Tentative Lecture Schedule

Monday	Wednesday	Friday
	Jan 5: 1.1	Jan 7: 1.2
Jan 10: 1.2, 1.3	Jan 12: 1.3	Jan 14: 1.4,1.5
Jan 17: Holiday	Jan 19: 1.5	Jan 21: 2.1
Jan 24: 2.2	Jan 26: 2.3	Jan 28: 2.3
Jan 31: 2.4	Feb 2: 2.4	Feb 4: 2.4, 2.5
Feb 7: 2.5, 2.6	Feb 9: 2.6	Feb 11: 3.1
Feb 14: 3.2	Feb 16: 3.2	Feb 18: Exam 1
Feb 21: Holiday	Feb 23: 3.2, 3.3	Feb 25: 3.3
Feb 28: 3.3, 3.4	Mar 1: 3.4	Mar 3: 4.1
Mar 6: 4.2	Mar 8: 4.3	Mar 10: 4.3, 4.4
Mar 13: 4.4

Final Exam Sunday, March 19, 4-7 pm

 

Assignments

The homework from the previous week's lectures will be due the following week on Wednesday or Thursday in discussion section. No late homework please.

Section 1.1 (p22): 5,9,11,13,16,21,26
Section 1.2 (p36): 1,3,9(also normalize vectors u and v and find cosine of the angle), 14,17,18
Section 1.3: 1,2,4,6,7,11,15,16,17,18,23,28,29
Section 1.4: 1,4,8,9
Section 1.5: 1,2,3,7,10,13,17,18
OPTIONAL Review exercises: 12,14,15,16,18,19,20,34,36,42-47

Section 2.1: 1,2,7,9,19,23,30
Section 2.2: 1b,c,2b,6,16,20,21
Section 2.3: 1,2,3bd,4ab,5,7ac,9,13b, 15,18
Section 2.4: 1,3,5,7,11,16,18
Section 2.5: 2df,3,4,5bd,8,10,13,17
Section 2.6: 3,4ab,5a,6,7,12,15,19,24b,25
OPTIONAL Review Exercises (p164): 1a,2a,7abc,8ab,16,18b,19,23,

Section 3.1: 1bd, 2,5,15,17,19
Section 3.2: 2,3,4
Section 3.3: 1,2,6,7,22,25,29
Section 3.4: 1,2,5,10,11,15,20

Section 4.1: 1,3,6,7,13,14
Section 4.2: 1,3,8,9
Section 4.3: 9,10,13,15
Section 4.4: 2,4,5,7,14,16,23,26,31

Exams

Midterm on  Chapters 1 and 2:  February 18 (in class) .
Cumulative Final Exam: Sunday March 19 (4-7pm)

Course Grade

Midterm 40%, Final 45%, quizzes 5%, and homework 10%.