Roberto's Math Notes
Home
Calculus
Prerequisites for Calculus
>
Prerequisite algebra and geometry formulae
1 Algebra
2 Functions
3 Transcendental functions
4 Special functions
Differential calculus
>
1 Limits and continuity
2 Resolving indeterminate forms
3 Definition of derivative
4 Basic differentiation rules
5 Derivatives of transcendental functions
6 Derivatives of other types of functions
7 Linear approximation methods
8 Graphical analysis
9 Word problems
Integral calculus
>
1: Indefinite integrals
2: Integration methods
3: Basics of ODE's
4: Definite integrals and the FTC
5: Basic applications of integration
6: Improper and approximate integration
>
Basic differentiation and integration formulae
Infinite series
>
1: Sequences and series
2: Convergence tests
3: Power series
Linear Algebra
1: Geometric vectors
2: Euclidean vectors
3: Linear systems and matrices
4: Matrix algebra
5: Determinants
6: Lines, planes and other straight objects
7: Subspaces
8: Linear transformations
9: Orthogonality
10: Eigenvalues and diagonalization
11: Complex numbers
Learning support resources
Learning skills
Pre-Engineering math
Other calculus sites
Chapter 7:
Subspaces
Written Notes
7-0:
Introduction
7-1:
Dependence and independence
7-2:
Subspaces and spans
7-3:
Bases and dimension
7-4:
Row and column spaces
7-5:
Null space
7-6:
The Dimension Theorem for matrices
Videos