MAT 267

ASU

Course Overview

Lessons & Practice

I. Welcome

1. Ch 10: Vector Functions

55min

1.1.1. 3D Cooridnate System4 min

1.1.2. Vectors7 min

1.1.3. Dot Product7 min

1.1.4. Cross Product6 min

1.1.5. Equations of Lines & Planes10 min

1.1.6. Cylinder & Quadric Surface

1.1.7. Example: Quadratic Surfaces (1)3 min

1.1.8. Example: Quadratic Surfaces (2)2 min

1.1.9. Cylindrical & Spherical Coordinates

1.2.1. Vector-Valued Functions5 min

1.2.2. Arc Length6 min

1.2.3. Curvature5 min

2. Ch 11: Multivariable Functions

1.1hr

2.1.1. Functions of Several Variables5 min

2.1.2. Practice3 min

2.2.1. Partial derivatives6 min

2.2.2. Practice: First Partial derivatives2 min

2.2.3. Practice: Second Partial Derivatives3 min

2.3.1. Chain Rule7 min

2.3.2. Practice: Chain Rule2 min

2.3.3. Practice: Chain Rule2 min

2.3.4. Practice: Chain Rule*3 min

2.3.5. Implicit Differentiation2 min

2.4.1. Gradient and directional derivative7 min

2.4.2. Practice: Gradient and directional derivative

2.5.1. Tangent plane3 min

2.5.2. Practice: Tangent Plane

2.5.3. Linear (Tangent Plane) Approximation3 min

2.5.4. Practice: Linear approximation

2.6.1. Differentials4 min

2.6.2. Practice: Differentials

2.6.3. Practice: Differentials

2.7.1. Local Max & Min4 min

2.7.2. Absolute Max & Min5 min

2.7.3. Lagrange Multipliers3 min

2.7.4. Practice: Lagrange Multipliers

2.7.5. Practice: Lagrange Multipliers

2.8.1. Multivariable Functions Quiz12 Qns

3. Ch 12: Integral calculus in several variables (Videos Coming Soon)

3min

3.1.1. Double Integration (rectangular)

3.1.2. Practice: Double integration

3.1.3. Practice: Changing the order of integration

3.1.4. Practice: Changing the order of integration

3.1.5. Interpretation of a Double Integral

3.1.6. Practice: Volume under a surface

3.2.1. Double Integration (polar)

3.2.2. Practice: Double integration (polar)

3.3.1. Triple Integration (rectangular)

3.3.2. Practice: Triple integration (rectangular)

3.3.3. Practice: Triple integration (rectangular)

3.4.1. Cylindrical coordinates

3.4.2. Triple Integration (cylindrical)

3.4.3. Practice: Cylindrical coordinates

3.4.4. Example: Triple integration (cylindrical)

3.4.5. Practice: Triple integration (cylindrical)

3.5.1. Spherical coordinates

3.5.2. Triple Integration (spherical)

3.5.3. Practice: Triple integration (spherical)

3.5.4. Practice: Triple integration (spherical)

3.5.5. Practice: Triple integration (spherical)3 min

3.6.1. Moments and centre of mass

3.6.2. Practice: Centroid

3.6.3. Moment of inertia

3.6.4. Practice: Moment of inertia

3.7.1. Multiple Integrals Quiz15 Qns

3.7.2. Centroid, centre of mass, moment of inertia Quiz8 Qns

4. Ch 13: Vector Calculus [Coming Soon!]

I Welcome

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