MATH 1072 • Midterm II • Mathematics II

Parametric Equations 1

Parametric Equations 2

Parametric Equations 3

Calculus with Parametric Equations

Length of a Curve

Polar Coordinates 1: Cartesian to Polar 1

Polar Coordinates 2: Cartesian to Polar 2

Polar Coordinates 3: Polar to Cartesian

Areas in Polar Coordinates

Area with Symmetry

Areas in Polar Coordinates 2

Distance Between Points 1

Cosine Theorem in 3D & Euclidean N-Space

Vectors: Arithmetic, Parallelism and Unit Vector

Angles between Vectors: Dot Product

Vector Projection

Cross Product of Vectors

Applications of Cross Product

Plane Equations

Line Equations 1

Line Equations 2

Intersection of Planes

Intersection of Planes and Lines

Distance of a Point to Lines & Planes

Vector Functions and Curves

Domain of a Vector Function

Limit of a Vector Function

Derivative of a Vector Function

Integral of a Vector Function

Position, Velocity, Acceleration

Position, Velocity, Acceleration 2

Arc Length

Tangent and Unit Tangent Vectors

Area in Polar Coordinates

Area in Polar Coordiantes

Polar Coordinates

Parametric Curves

Parametric Curves

Dot Product & Unit Vector

Angle between Vectors

Projection & Cross Product

Cross Product Applications 1

Cross Product Applications 2

Cross Product Applications 3

Cross Product Applications 4

Equation of a Plane 1

Equation of a Plane 2

Equation of a Plane 3

Paralellism & Perpendicularity of Planes

Equation of a Plane 4

Plane Equations

Plane Equations

Plane Equations

Coplanarity

Intersection of Planes 1

Intersection of Planes 2

Intersection of Lines 1

Planes and Lines 1

Planes and Lines 2

Plane and Lines 3

Planes and Lines 4

Plane and Lines 5

Planes and Lines 6

Angle between Planes

Angle between Lines

Distance of a Point to Lines & Planes I

Distance of a Point to Lines & Planes II

Distance of a Point to Lines & Planes III

Distance of a Point to Lines & Planes IV

Vector Valued Functions 1

Vector Valued Functions 2

Vector Valued Functions 3

Vector Valued Functions 4

Position Vectors 1: Velocity, Speed, Acceleration

Position Vectors 2: Velocity, Speed, Acceleration

Position Vectors 3: Velocity, Speed, Acceleration

Unit Tangent 1

Unit Tangent 2

Tangent Line to Vector Functions

Arc Length 1

Arc Length 2

Arc Length 3

Arc Length 4

Integral of Vector Valued Functions

Integral of Vector Valued Functions

Domain of Multivariable Functions

Level Curves

Level Curves and Level Surfaces

Graphs of Surfaces

Limits of Multivariable Functions 1

Limits of Multivariable Functions 2

Limits of Multivariable Functions 3

The Squeeze Theorem

Continuity of Multivariable Functions

Limits with Polar Coordinates

Limit Definition of Partial Derivative

Partial Differentiation Rules 1

Partial Differentiation Rules 2

Higher Order Partial Differentiation

Implicit Differentiation I

Implicit Differentiation II

Implicit Differentiation III

Implicit Higher Differentiation

Chain Rule 1

Chain Rule 2

Chain Rule 3

Equation of a Tangent Plane 1

Equation of a Tangent Plane 2

Horizontal Tangent Plane

Normal Vector to a Multivariable Function

Tangent Plane Approximation

Gradient Vector

Directional Derivative

Gradient and Directional Derivative

Limit of Multivariable Functions 1

Limit of Multivariable Functions 2

Limit of Multivariable Functions 3

Limit of Multivariable Functions 4

Limit of Multivariable Functions 5

Limit of Multivariable Functions 6

Limit of Multivariable Functions 7

Limit of Multivariable Functions 8

Limit of Multivariable Functions 9

Limit of Multivariable Functions 10

Continuity 1

Continuity 2

Definition of Partial Derivative 1

Definition of Partial Derivative 2

Partial Derivative 1

Partial Derivative 2

Partial Derivative 3

Partial Derivative 4

Partial Derivative 5

Partial Derivative 6

Higher Order Differentiation 1

Higher Order Differentiation 2

Higher Order Differentiation 3

Higher Order Differentiation 4

Higher Order Differentiation 5

Tangent Plane 1

Tangent Plane 2

Tangent Plane 3

Tangent Plane 4

Approximation 1

Approximation 2

Approximation 3

Approximation 4

Tangent Plane and Normal Line 1

Tangent Plane and Normal Line 2

Tangent Plane and Normal Line 3

Chain Rule 1

Chain Rule 2

Chain Rule 3

Chain Rule 4

Chain Rule 5

Chain Rule 6

Chain Rule and Tangent Plane

Gradient and Tangent Plane 1

Gradient and Tangent Plane 2

Gradient and Tangent Plane 3

Gradient and Directional Derivative 1

Gradient and Directional Derivative 2

Gradient and Directional Derivative 3

Gradient and Directional Derivative 4

Gradient and Directional Derivative 5

Gradient and Directional Derivative 6

Gradient and Directional Derivative 7