Calculus in a Single Variable
3
L’Hôpital’s Rule
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
Models for Population Growth
Geometry of Space
10
Vectors and Dimension
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
Practice Exams
Midterm 1 (Practice)
C
Syllabus
Calculus in a Single Variable
3
L’Hôpital’s Rule
3
L’Hôpital’s Rule
rules of limits
5.2–5.5
4.4
2
SageMath
4
Integration by Parts