## Syllabus

This is our plan for the course; it may change in minor ways.

Class day Textbook sections Topics
1/3 (W) 11.1 Math 3 review; infinite sequences
1/5 (F) 11.2 Infinite series; geometric series
1/8 (M) 11.3 Integral test; estimating sums
1/10 (W) 11.6 Absolute convergence; the ratio test
1/12 (F) 11.8 Power series and radius of convergence
1/15 (M) CANCELED: In celebration of Martin Luther King's birthday, today's class is moved to this week's X-hour.
1/16 (Tu)
1/17 (W)
11.9 Functions as power series (including differentiation and integration)
1/17 (W)
1/18 (Th)
11.10 Taylor and Maclaurin series
1/19 (F) 11.10 Taylor and Maclaurin series (continued)
1/22 (M) 11.11 Approximating functions by Taylor polynomials (end of new material for first midterm)
1/24 (W) Midterm review
1/26 (F) 12.1–12.2 Coordinates in Rn as a vector space; distance formula; simple surfaces
1/26 (F) FIRST MIDTERM EXAM: 6:00–8:00 pm, Moore Hall B13 Filene Auditorium
1/29 (M) 12.3 Dot products and projections
1/31 (W) 12.3 Dot products and projections (continued)
2/2 (F) 12.4 Cross products and geometry; relation to volume and area
2/5 (M) 12.5 Lines in different forms; planes in vector and standard forms
2/7 (W) 12.5 Equation of a plane in different forms
2/9 (F) 13.1 Vector functions and curves
2/12 (M) 13.2–13.3 Derivatives and integrals along curves; arc length (end of new material for second midterm)
2/14 (W) 14.1–14.2 Functions of several variables; limits and continuity
2/16 (F) 14.3 Partial derivatives
2/16 (F) SECOND MIDTERM EXAM: 6:00–8:00 pm, Moore Hall B13 Filene Auditorium
2/19 (M) 14.4 Tangent planes and normal lines
2/20 (Tu) Last day to withdraw
2/21 (W) 14.5 Chain rule
2/23 (F) 14.6 Gradients and directional derivatives
2/26 (M) 14.6 Gradients and directional derivatives (continued)
2/28 (W) 14.7 Extreme values
3/2 (F) 14.8 Lagrange multipliers
3/5 (M) Wrap-up
3/9 (F) FINAL EXAM: 3:00–6:00, Steele Hall 006