Math 119

#class

Calculus 2 for Engineering

Prereqs: Math 117

Wait wait wait, did I snowball you there?
- Prof. Matthew Scott

Like in Minecraft
- Prof. Matthew Scott

It's a chimera, it doesn't exist
- Prof. Matthew Scott

Part I - Multivariate Calculus

1. Multivariable Functions
   1. Introduction
2. Limits and Partial Derivatives
   1. Multivariate Limits
   2. Partial Derivatives
3. Tangent Planes, The Linear Approximation, and Differentials
   1. Tangent Planes
   2. Tangent Plane Approximation
4. Introduction to Vector Functions: Parametric Representation of Curves
5. The Basic Chain Rule, the Gradient Vector, and Directional Derivatives
   1. The Chain Rule for Paths
   2. Gradient Vector
   3. Directional Derivatives
6. Other forms of the chain rule: Skipped
7. Optimization Techniques
   1. Unconstrained Optimization
   2. Constrained Optimization and the Method of Lagrange
8. Integration of Scalar Fields
9. Double Integrals in Polar Coordinates
10. The Change of Variable Formula
11. Interpretation of Integrals
12. Triple Integrals
    • Cylindrical Coordinates
    • Spherical Coordinates

PART II - Taylor Polynomials and Series

13. Introduction
14. Tangent Approximation
15. Newton's Method
16. Polynomial Interpolation
17. Taylor polynomial
18. Taylor's Remainder Theorem
19. Approximating Intractable Integrals
20. Infinite Series
21. Convergence and Divergence
22. Power Series
23. The "Big O" Order Symbol
    END OF COURSE
24. Taylor Series: the Two-Variable Case