**Prerequisite:**
Either (a) a score of 68% or higher in MATH 121 or
(b) a score of 80% or higher in one of MATH 101, MATH 103, MATH 105, SCIE 001.

**Corequisite:**
One of MATH 152, MATH 221, MATH 223.

E-mail |
feldman@math.ubc.ca |

Office | Math 221 |

Phone | 604-822-5660 |

Home page | http://www.math.ubc.ca/~feldman/ |

Office hours | Mon 2:30-3:30, Tues 2:00-3:00, Thurs 10:00-11:00 |

I will post all handouts, problem sets, etc. on the web here.

**Brief Introduction to Vectors (§ 10.1-10.4):**vectors in**R**^{2}and**R**^{3}, inner product, cross product, lines and planes.**Differentiation (§ 12.1-12.3, § 12.5-12.8, § 12.4, § 12.9):**limits, partial derivatives, tangent planes, chain rule, gradient, directional derivatives, implicit functions, higher order derivatives, equality of mixed partials, Taylor's theorem.**Maxima and Minima (§ 13.1-13.3):**local and absolute extrema, classification of critical points, Lagrange multipliers.**Integration (§ 14.1-14.6):**double integrals, iteration, improper integrals, polar coordinates, triple integrals, cylindrical and spherical coordinates.

- There will be two midterms (tentatively scheduled for Wednesday, October 5 and Wednesday, November 2) accounting for about 40% of the final mark.
- There will be weekly problem sets accounting for about 10% of the final mark.
- The final exam will account for about 50% of the final mark.
- Grades
**will**probably**be scaled**.