This is the archived site for the Summer 2012 section of “Syde 112: Fundamental Engineering Math 2” as taught by Matthew D. Johnston at the University of Waterloo.

**Assignments**

- Assignment 1 (solutions)
- Assignment 2 (solutions)
- Assignment 3 (solutions)
- Assignment 4 (solutions)
- Assignment 5 (solutions)
- Assignment 6 (solutions)
- Assignment 7 (solutions)
- Assignment 8 (solutions)
- Assignment 9 (solutions)
- Assignment 10 (solutions)

**Examinations**

**Lectures**

- Week 1 (lecture 1) (lecture 2) (Anti-differentiation, Riemann sums)
- Week 2 (lecture 1) (lecture 2) (Fundamental Theorem of Calculus)
- Week 3 (lecture 1) (lecture 2) (lecture 3) (Integration by parts, trignometric substitution)
- Week 4 (lecture 1) (lecture 2) (Rational integrals)
- Week 5 (lecture 1) (lecture 2) (Improper integrals, volumes of revolution)
- Week 6 (lecture 1) (lecture 2) (lecture 3) (Arc length, surface area)
- Week 7 (lecture 1) (Numerical integration)
- Week 8 (lecture 1) (lecture 2) (Multivariate functions, limits, continuity)
- Week 9 (lecture 1) (lecture 2) (Partial derivatives, higher-order derivatives)
- Week 10 (lecture 1) (Chain rule, gradient, directional derivatives)
- Week 11 (lecture 1) (Extreme values, critical points)
- Week 12 (lecture 1) (Optmization, Lagrange multipliers)

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