MATH 2153

OSU

Course Overview

Lessons & Practice

I. Welcome

1. Vectors and Vector-Valued 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. Functions of Several Variables

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

2.8.1. 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

3. Multiple Integration

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. Improper Integrals

3.6.2. Practice: Improper integrals

3.6.3. Practice: Improper integrals

3.7.1. Moments and centre of mass

3.7.2. Practice: Centroid

3.7.3. Moment of inertia

3.7.4. Practice: Moment of inertia

3.8.1. Multiple Integrals Quiz15 Qns

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

4. Vector Calculus [Coming Soon!]

I Welcome

Free Activity

Welcome to the Wize Calculus III Course!
This course includes video tutorials and practice questions for some of the concepts you'll learn in MATH 2153. This course is still in beta, meaning we need your help to make it even better! If you notice any missing topics or a topic that doesn't belong in this course, please let us know using the speech bubble in the bottom right corner of your screen.

Feel free to go through this resource at your own pace.
Use the table of contents 📃 on the left to skip to parts you need help with
Watch the video ▶ or read the written lessons 📖
Speed up ⏩ or slow down ⏪ the videos 
Use the "Ask a question"❓ feature below each lesson/question any time!

This resource includes the following activities: 
   Theory lessons: I will explain and summarize new math concepts
   Examples: I will walk you through how to solve problems involving these new math concepts
   Practice questions: These are for you to try out on your own. Don't worry, if you get stuck, you can watch the video solutions or read the suggested written answers

Let's get started! 🚀

Ask a Question

Upgrade to Wizeprep Plus and get unlimited questions answered.

No one has asked a question yet

Want a tour?