Maths 265: Calculus II
Welcome to Calculus 2! Dive deep into advanced calculus concepts and earn 4 college credits while mastering integrals, series, and more.
Welcome to Calculus 2! Dive deep into advanced calculus concepts and earn 4 college credits while mastering integrals, series, and more.
VIDEOS
Using Tables to Find Antiderivatives
Quiz 1.2
Introduction
VIDEOS
First Applications of Definite Integrals
Quiz 1.1
VIDEOS
Approximating Definite Integrals
Quiz 1.3
Introduction
Introduction to Applications
Quiz 2.1
VIDEOS
Volumes
Quiz 2.2
VIDEOS
Arc Lengths & Surface Areas
Quiz 2.3
VIDEOS
Moments & Centers of Mass
Quiz 2.4
VIDEOS
Additional Applications
Quiz 2.5
Summary
Introduction
VIDEOS
Introduction to Differential Equations
Quiz 3.1
VIDEOS
Differential Equation y'=f(x)
Quiz 3.2
VIDEOS
Separable Differential Equations
Quiz 3.3
VIDEOS
Exponential Growth, Decay & Cooling
Quiz 3.4
Summary
Introduction
Introduction Improper Integrals & Integration Techniques
Quiz 4.1
VIDEOS
Improper Integrals
Quiz 4.2
VIDEOS
Integration Review
Quiz 4.3
VIDEOS
Integration by Parts
Quiz 4.4
VIDEOS
Partial Fraction Decomposition
Quiz 4.5
VIDEOS
Trigonometric Substitution
Quiz 4.6
VIDEOS
Trigonometric Integrals
Quiz 4.7
Summary
Introduction
Introduction to Sequences & Series
Quiz 5.1
VIDEOS
Sequences
Quiz 5.2
VIDEOS
Infinite Series
Quiz 5.3
VIDEOS
Geometric and Harmonic Series
Quiz 5.4
VIDEOS
Positive Term Series: Integral & P-Tests
Quiz 5.5
VIDEOS
Positive Term Series: Comparison Tests
Quiz 5.6
VIDEOS
Alternating Sign Series
Quiz 5.7
VIDEOS
Absolute Convergence and the Ratio Test
Quiz 5.8
VIDEOS
Power Series
Quiz 5.9
VIDEOS
Taylor and Maclaurin Series
Quiz 5.10
Fourier Series
Quiz 5.11
Summary
Introduction
Moving Beyond Two Dimensions
Quiz 6.1
VIDEOS
Vectors in the Plane
Quiz 6.2
VIDEOS
Rectangular Coordinates in Three Dimensions
Quiz 6.3
VIDEOS
Vectors in Three Dimensions
Quiz 6.4
VIDEOS
Dot Product
Quiz 6.5
VIDEOS
Cross Product
Quiz 6.6
VIDEOS
Lines and Planes in Three Dimensions
Quiz 6.7
Vector Reflections
Quiz 6.8
Summary
Introduction
VIDEOS
Vector-Valued Functions and Curves in Space
Quiz 7.1
VIDEOS
Derivatives & Antiderivatives of Vector-Valued Functions
Quiz 7.2
VIDEOS
Arc Length and Curvature of Space Curves
Quiz 7.3
VIDEOS
Cylindrical & Spherical Coordinate Systems in 3D
Quiz 7.4
Summary
Introduction
VIDEOS
Functions of Two or More Variables
Quiz 8.1
VIDEOS
Limits and Continuity
Quiz 8.2
VIDEOS
Partial Derivatives
Quiz 8.3
VIDEOS
Tangent Planes and Differentials
Quiz 8.4
VIDEOS
Directional Derivatives and the Gradient
Quiz 8.5
VIDEOS
Maximums and Minimums
Quiz 8.6
VIDEOS
Lagrange Multiplier Method
Quiz 8.7
VIDEOS
Chain Rule
Quiz 8.8
Summary
Introduction
VIDEOS
Introduction to Double Integrals
Quiz 9.1
VIDEOS
Double Integrals over Rectangular Domains
Quiz 9.2
VIDEOS
Double Integrals over General Domains
Quiz 9.3
VIDEOS
Double Integrals in Polar Coordinates
Quiz 9.4
Applications of Double Integrals
Quiz 9.5
Surface Area
Quiz 9.6
VIDEOS
Triple Integrals and Applications
Quiz 9.7
VIDEOS
Triple Integrals in Cylindrical and Spherical Coordinates
Quiz 9.8
VIDEOS
Changing Variables in Double and Triple Integrals
Quiz 9.9
Summary
Introduction
Introduction to Vector Calculus
Quiz 10.1
VIDEOS
Vector Fields
Quiz 10.2
VIDEOS
Divergence, Curl and Del in 2D
Quiz 10.3
VIDEOS
Line Integrals
Quiz 10.4
VIDEOS
Fundamental Theorem of Line Integrals and Potential Functions
Quiz 10.5
VIDEOS
Green's Theorem
Quiz 10.6
VIDEOS
Divergence and Curl in 3D
Quiz 10.7
VIDEOS
Parametric Surfaces
Quiz 10.8
VIDEOS
Surface Integrals
Quiz 10.9
VIDEOS
Stokes' Theorem
Quiz 10.10
VIDEOS
Gauss/Divergence Theorem
Quiz 10.11
Summary
Introduction
VIDEOS
Polar Coordinates
Quiz 11.1
VIDEOS
Calculus with Polar Coordinates
QUIZ 11.2
VIDEOS
Parametric Equations
QUIZ 11.3
VIDEOS
Calculus with Parametric Equations
QUIZ 11.4
VIDEOS
Conic Sections
QUIZ 11.5
VIDEOS
Properties of the Conic Sections
QUIZ 11.6
Summary
Assignment
Rubric for Assignment
Final Exam Instructions
Final Exam
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