Videos of lectures by Adrian Banner

Chapters / Sections 
Contents 
Video 
File 1: Chapters 1 & 2 
Functions, trig 

File 2: Chapters 3 & 4 
Limits: theory and polynomial examples 

File 3: Chapter 5 & 6
Sections 7.1.1 & 7.1.2 
Continuity, differentiability, trig limits 

Sections 7.1.3 & 7.1.4
Chapter 6 (except 6.6 & 6.7)
Section 7.2, excluding 7.2.3 
Trig limits (continued), how to solve differentiation problems, trig derivatives, simple harmonic motion 

Chapter 8 
Implicit differentiation, related rates 

Chapter 9 (except 9.6 & 9.7)
Section 14.2 
Exponentials, review of topics so far 

Sections 10.1, 10.2 &
13.2 (except 13.2.4) 
Inverse functions, inverse trig functions, linearization 

Section 13.2.2
Chapter 11 
More on the differential, extrema, Rolle/Mean Value Theorem, critical points and the second derivatives (Note: The lecture stops suddenly but is made up at the beginning of the next video.) 

Section 11.5
Chapter 12 
Classifying critical points, sketching graphs 

Sections 13.1 & 14.1 
Optimization, L'Hopital's Rule 

Chapter 15 (except 15.1.2)
Chapter 16 (except 16.7)
Sections 17.1, 17.2, & 17.3 
Sigma notation, Riemann sums, integration, introduction to the Fundamental Theorems 

Chapter 17
Section 18.1 
Fundamental Theorems, integration by substitution 

Sections 18.1, 18.2, & 19.1 
Substitution revisited, integration by parts, integrals involving trig limits 

Section 18.3 
Partial fractions 

Sections 19.2, 19.3 & 19.4 
Trig integrals, trig substitutions, and summary of integration techniques 

Chapter 29 (except 29.2) 
Volumes of revolution, arc lengths, and surface areas 

Chapter 20, Sections 21.1 & 21.3.1 
Improper integrals, part 1 

Sections 21.3, 21.4, & 21.5 
Improper integrals, part 2 

Sections 22.1, 22.2, 22.5.1, 22.5.2, 23.1, 23.2, 23.3, & 23.4 
Sequences and series, part 1 

Sections 22.5.3, 22.5.4, 23.5, 23.6, 23.7 & 24.1 
Sequences and series, part 2, introduction to power 

Section 24.2, Chapter 25,
Section 26.1 
Estimation using Taylor series, the remainder/error term, radius of convergence of power series 

Chapter 26, Section 28.1 
More about power and Taylor series, introduction to complex numbers 

Sections 28.1.1, 28.2, 28.3, 28.4, 30.1 & 30.2 
Complex numbers, separable firstorder differential equations 

Sections 30.3 & 30.4 
First order linear differential equations, first/second order constant coefficient linear differential equations 
