MATH 231

Penn State

Course Overview

Lessons & Practice

1. 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. 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. Tangent plane3 min

2.4.2. Practice: Tangent Plane

2.4.3. Linear (Tangent Plane) Approximation3 min

2.4.4. Practice: Linear approximation

2.5.1. Differentials4 min

2.5.2. Practice: Differentials

2.5.3. Practice: Differentials

2.6.1. Gradient and directional derivative7 min

2.6.2. Practice: Gradient and directional derivative

2.8.1. Local Max & Min4 min

2.8.2. Absolute Max & Min5 min

2.8.3. Lagrange Multipliers3 min

2.8.4. Practice: Lagrange Multipliers

2.8.5. Practice: Lagrange Multipliers

2.9.1. Multivariable Functions Quiz12 Qns

MATH 231 Overview

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Welcome to MATH 231! This on-demand course was put together especially for MATH 231 at Penn State. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!

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1.1.1 3D Cooridnate System 4min

Course Notes

Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.

Course Notes

Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.

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