Mathematics 103X: Honors Intermediate Calculus
Fall 2006
- Vector Algebra and Geometry in 2-d and 3-d
- Multi-variable differential calculus: Grad, Div,
and Curl derivatives,
max/min problems in several variables, Lagrange multipliers and
constrained optimization
- Multi-variable integral calculus: Line,
area, volume, and surface integrals, the fundamental theorems of vector
calculus.
Dr.
Thomas P. Witelski ("Tom")
Duke University
Department of Mathematics
Office: Room 295 Physics
Office Hours: Thursdays, 10am-1pm or by
appointment
Office phone: 919-660-2841
Email: witelski@math.duke.edu
Schedule: Math 103X Section 01
- MWF 1:30-2:20 pm Room 259 Physics Building
- Office hours: Thursdays 10am-1pm, or by
email for
other appointment times
Over customer(s)
served since 8/2006.
Textbook:
Course materials:
- Global
- Part 1
- HW#1
- HW#2
- Determinants and Cross Products:
supplementary notes
- HW#3
- Vectors summary sheet
- Test #1: Friday, Sept 22, 1:30 pm (or ASAEGT) -- vector algebra and geometry, lines,
planes, distance, parametric curves
- Old tests: (Not problems 2000#2, 1999#4-6)
- Optional review session: Wednesday, Sept 20, 8:00-10:00pm, Room 103 Carr
building, East Campus. Come to any part of the session that fits your schedule.
- Results: Average 65, High 87, Low 40s.
- Part 2
- HW#7
- HW#9
- HW#10
- Taylor series summary sheet
- HW#11
- Max/min introduction
- HW#12
- Max/min Summary: version 2.0
- Q: What kind of surfaces have det(H)=0 for the 2nd derivative test?
A: Read about the
Monkey saddle,
Monkey Saddle 2 and
Monkey Saddle 3
- Test #2: Weds, Oct 11, 1:30pm (or ASAEGT) -- surfaces, limits, derivatives, chain rule and related topics, max/min problems (Chapters 2 and 4)
- Old tests: (Also see 2000T1#2, 1999T1#4-6)
(Not 1999#1)
- Optional review session: Thursday, Oct 5, 8:00-10:00pm, Room 114
Carr building, East Campus. Come to any part of the session that fits your
schedule.
- Pre-test office hours: Tuesday, Oct 10, 2-5pm
- Results: Average 70, High 99, Low 40s.
- Part 3
- Techniques of integration review sheet
- Multiple Integrals summary sheet
- Test #3: Mon, Nov 13, 1:30pm (or ASAEGT) -- double, triple
integrals, areas, volumes, surfaces, Jacobians, applications,
center of mass, moments of inertia... Chapter 5 and sections 7.1/2
- Old tests
- Optional review session: Sunday, Nov 12, 2:00-4:00pm, Room 103 Carr
Building East Campus. Come to any part of the session that fits your schedule.
email for help anytime, or to
request other office hours.
- Results: Average 64, High 83, Low 30s.
- Part 4
- The fundamental theorem of line integrals
(ASC #1)
- Who was
George Green?
- Vector Calculus Theorems summary sheet
- Test #4: Dec Weds, Dec 6, 1:30pm (or ASAEGT) --
Chapter 6(all): line integrals, Green's theorem and conservative vector fields, and Chapter 3 (3.3, 3.4): grad, div, curl stuff
- Old tests (NOT 1998:3,4, 1999:2,3,4, 2000:5, 2003:1,5)
- Optional review session: Monday, Dec 4, 8:00-10:00pm, Room ?????
Building East Campus. Come to any part of the session that fits your schedule.
email for help anytime, or to
request other office hours.
- Tuesday office hours: 2-5pm (or by email request). No Thursday office hours.
- Results: Average 71, high 94, lows 50s.
- The final exam
Other useful links
Information on other activities in the math dept: