References
Math 120
Preface
Preliminaries
1
Review
2
SageMath
Calculus in a Single Variable
3
L’Hôpital’s Rule
4
Integration by Parts
5
Partial Fractions
6
Improper Integrals
7
Introduction to Differential Equations
8
Slope Fields and Separable Equations
9
Autonomous Equations and Stability
Geometry of Space
10
Three-Dimensional Space and Vectors
11
Dot Products
12
Cross Products
13
Lines and Planes
14
Surfaces and Functions of Two Variables
15
Derivatives in Many Variables
16
Tangent Planes
Multi-variable Calculus
17
Multivariable Chain Rule
18
Directional Derivatives and Gradients
19
Second Derivative Test
20
Lagrange Multipliers I
21
Lagrange Multipliers II
22
Double Integrals I
23
Double Integrals II
24
Double Integrals in Polar I
25
Double Integrals in Polar II
References
Appendices
Homework
A
Homework 0
B
Homework 1
C
Homework 2
D
Homework 3
E
Homework 4
F
Homework 5
G
Homework 6
Practice Exams
Midterm 1 (Practice)
Course Information
H
Syllabus
References
Stewart, J., D. K. Clegg, and S. Watson. 2020.
Calculus: Early Transcendentals
. 9th ed. Cengage Learning.
25
Double Integrals in Polar II
A
Homework 0